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Chapter Overview

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    Forces and motionVariable accelerationConstant accelerationModelling in mechanicsHypothesis testing IBinomial distributionProbabilityRepresentation of dataMeasures of location and spreadData collectionVectors IIntegration IDifferentiation IExponentials and logarithmsTrigonometric equationsTrigonometryBinomial expansion ICirclesStraight line graphsTransformationsSketching graphsPolynomialsEquations and inequalitiesQuadraticsIndices and surdsProof I

138 Lessons

828 Exercises

Forces and motion

See All (6)
Force diagrams
Force diagrams
Length

Overview

Learning Goals

    Overview
    Learn
    Forces as vectors
    Forces as vectors
    Length

    Overview

    Learning Goals

      Overview
      Learn
      Forces and acceleration
      Forces and acceleration
      Length

      Overview

      Learning Goals

        Overview
        Learn
        Motion in two dimensions
        Motion in two dimensions
        Length

        Overview

        Learning Goals

          Overview
          Learn
          Connected particles
          Connected particles
          Length

          Overview

          Learning Goals

            Overview
            Learn
            Pulleys
            Pulleys
            Length

            Overview

            Learning Goals

              Overview
              Learn

              Study Tips

              Boost your skills with our essential study tips!

              Tips for studying Maths

              Variable acceleration

              See All (5)
              Functions of time: Displacement, velocity, acceleration
              Functions of time: Displacement, velocity, acceleration
              Length

              Overview

              Learning Goals

                Overview
                Learn
                Using differentiation to find velocity and acceleration
                Using differentiation to find velocity and acceleration
                Length

                Overview

                Learning Goals

                  Overview
                  Learn
                  Maxima and minima problems
                  Maxima and minima problems
                  Length

                  Overview

                  Learning Goals

                    Overview
                    Learn
                    Using integration to find velocity and displacement
                    Using integration to find velocity and displacement
                    Length

                    Overview

                    Learning Goals

                      Overview
                      Learn
                      Constant acceleration formulae
                      Constant acceleration formulae
                      Length

                      Overview

                      Learning Goals

                        Overview
                        Learn

                        Constant acceleration

                        See All (5)
                        Displacement-time graphs
                        Displacement-time graphs
                        Length

                        Overview

                        Learning Goals

                          Overview
                          Learn
                          Velocity-time graphs
                          Velocity-time graphs
                          Length

                          Overview

                          Learning Goals

                            Overview
                            Learn
                            Constant acceleration: Deriving formulae
                            Constant acceleration: Deriving formulae
                            Length

                            Overview

                            Learning Goals

                              Overview
                              Learn
                              Constant acceleration formulae: SUVAT
                              Constant acceleration formulae: SUVAT
                              Length

                              Overview

                              Learning Goals

                                Overview
                                Learn
                                Vertical motion under gravity
                                Vertical motion under gravity
                                Length

                                Overview

                                Learning Goals

                                  Overview
                                  Learn

                                  Modelling in mechanics

                                  Modelling assumptions
                                  Modelling assumptions
                                  Length

                                  Overview

                                  Learning Goals

                                    Overview
                                    Learn
                                    Quantities and units in mechanics
                                    Quantities and units in mechanics
                                    Length

                                    Overview

                                    Learning Goals

                                      Overview
                                      Learn
                                      Working with vectors
                                      Working with vectors
                                      Length

                                      Overview

                                      Learning Goals

                                        Overview
                                        Learn

                                        Hypothesis testing I

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                                        Hypothesis testing
                                        Hypothesis testing
                                        Length

                                        Overview

                                        Learning Goals

                                          Overview
                                          Learn
                                          Hypothesis testing: Finding critical values
                                          Hypothesis testing: Finding critical values
                                          Length

                                          Overview

                                          Learning Goals

                                            Overview
                                            Learn
                                            One-tailed tests
                                            One-tailed tests
                                            Length

                                            Overview

                                            Learning Goals

                                              Overview
                                              Learn
                                              Two-tailed tests
                                              Two-tailed tests
                                              Length

                                              Overview

                                              Learning Goals

                                                Overview
                                                Learn

                                                Binomial distribution

                                                Probability distributions
                                                Probability distributions
                                                Length

                                                Overview

                                                Learning Goals

                                                  Overview
                                                  Learn
                                                  The binomial distribution
                                                  The binomial distribution
                                                  Length

                                                  Overview

                                                  Learning Goals

                                                    Overview
                                                    Learn
                                                    Cumulative probabilities
                                                    Cumulative probabilities
                                                    Length

                                                    Overview

                                                    Learning Goals

                                                      Overview
                                                      Learn

                                                      Probability

                                                      See All (4)
                                                      Calculating probabilities
                                                      Calculating probabilities
                                                      Length

                                                      Overview

                                                      Learning Goals

                                                        Overview
                                                        Learn
                                                        Venn diagrams
                                                        Venn diagrams
                                                        Length

                                                        Overview

                                                        Learning Goals

                                                          Overview
                                                          Learn
                                                          Probability: Mutually exclusive and independent events
                                                          Probability: Mutually exclusive and independent events
                                                          Length

                                                          Overview

                                                          Learning Goals

                                                            Overview
                                                            Learn
                                                            Probability: Tree diagrams
                                                            Probability: Tree diagrams
                                                            Length

                                                            Overview

                                                            Learning Goals

                                                              Overview
                                                              Learn

                                                              Representation of data

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                                                              Outliers
                                                              Outliers
                                                              Length

                                                              Overview

                                                              Learning Goals

                                                                Overview
                                                                Learn
                                                                Box plots
                                                                Box plots
                                                                Length

                                                                Overview

                                                                Learning Goals

                                                                  Overview
                                                                  Learn
                                                                  Cumulative frequency
                                                                  Cumulative frequency
                                                                  Length

                                                                  Overview

                                                                  Learning Goals

                                                                    Overview
                                                                    Learn
                                                                    Histograms
                                                                    Histograms
                                                                    Length

                                                                    Overview

                                                                    Learning Goals

                                                                      Overview
                                                                      Learn
                                                                      Comparing data sets
                                                                      Comparing data sets
                                                                      Length

                                                                      Overview

                                                                      Learning Goals

                                                                        Overview
                                                                        Learn
                                                                        Correlation
                                                                        Correlation
                                                                        Length

                                                                        Overview

                                                                        Learning Goals

                                                                          Overview
                                                                          Learn
                                                                          Linear regression
                                                                          Linear regression
                                                                          Length

                                                                          Overview

                                                                          Learning Goals

                                                                            Overview
                                                                            Learn

                                                                            Measures of location and spread

                                                                            Measures of central tendency: Mean, median, mode
                                                                            Measures of central tendency: Mean, median, mode
                                                                            Length

                                                                            Overview

                                                                            Learning Goals

                                                                              Overview
                                                                              Learn
                                                                              Measures of spread: Range
                                                                              Measures of spread: Range
                                                                              Length

                                                                              Overview

                                                                              Learning Goals

                                                                                Overview
                                                                                Learn
                                                                                Variance and standard deviation
                                                                                Variance and standard deviation
                                                                                Length

                                                                                Overview

                                                                                Learning Goals

                                                                                  Overview
                                                                                  Learn

                                                                                  Data collection

                                                                                  Population and samples
                                                                                  Population and samples
                                                                                  Length

                                                                                  Overview

                                                                                  Learning Goals

                                                                                    Overview
                                                                                    Learn
                                                                                    Sampling techniques
                                                                                    Sampling techniques
                                                                                    Length

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                                                                                      Overview
                                                                                      Learn
                                                                                      Types of data
                                                                                      Types of data
                                                                                      Length

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                                                                                        Vectors I

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                                                                                        Vectors
                                                                                        Vectors
                                                                                        Length

                                                                                        Overview

                                                                                        Learning Goals

                                                                                          Overview
                                                                                          Learn
                                                                                          Representing vectors
                                                                                          Representing vectors
                                                                                          Length

                                                                                          Overview

                                                                                          Learning Goals

                                                                                            Overview
                                                                                            Learn
                                                                                            Magnitude and direction of a vector
                                                                                            Magnitude and direction of a vector
                                                                                            Length

                                                                                            Overview

                                                                                            Learning Goals

                                                                                              Overview
                                                                                              Learn
                                                                                              Position vectors and displacement vectors
                                                                                              Position vectors and displacement vectors
                                                                                              Length

                                                                                              Overview

                                                                                              Learning Goals

                                                                                                Overview
                                                                                                Learn
                                                                                                Solving geometric problems
                                                                                                Solving geometric problems
                                                                                                Length

                                                                                                Overview

                                                                                                Learning Goals

                                                                                                  Overview
                                                                                                  Learn
                                                                                                  Modelling with vectors
                                                                                                  Modelling with vectors
                                                                                                  Length

                                                                                                  Overview

                                                                                                  Learning Goals

                                                                                                    Overview
                                                                                                    Learn

                                                                                                    Integration I

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                                                                                                    Integrating x^n
                                                                                                    Integrating x^n
                                                                                                    Length

                                                                                                    Overview

                                                                                                    Learning Goals

                                                                                                      Overview
                                                                                                      Learn
                                                                                                      Indefinite integrals
                                                                                                      Indefinite integrals
                                                                                                      Length

                                                                                                      Overview

                                                                                                      Learning Goals

                                                                                                        Overview
                                                                                                        Learn
                                                                                                        Finding functions by integrating
                                                                                                        Finding functions by integrating
                                                                                                        Length

                                                                                                        Overview

                                                                                                        Learning Goals

                                                                                                          Overview
                                                                                                          Learn
                                                                                                          Definite integrals
                                                                                                          Definite integrals
                                                                                                          Length

                                                                                                          Overview

                                                                                                          Learning Goals

                                                                                                            Overview
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                                                                                                            Area under a curve
                                                                                                            Area under a curve
                                                                                                            Length

                                                                                                            Overview

                                                                                                            Learning Goals

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                                                                                                              Area under the x-axis
                                                                                                              Area under the x-axis
                                                                                                              Length

                                                                                                              Overview

                                                                                                              Learning Goals

                                                                                                                Overview
                                                                                                                Learn
                                                                                                                Area between a curve and a line
                                                                                                                Area between a curve and a line
                                                                                                                Length

                                                                                                                Overview

                                                                                                                Learning Goals

                                                                                                                  Overview
                                                                                                                  Learn

                                                                                                                  Differentiation I

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                                                                                                                  Finding the gradient of a curve
                                                                                                                  Finding the gradient of a curve
                                                                                                                  Length

                                                                                                                  Overview

                                                                                                                  Learning Goals

                                                                                                                    Overview
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                                                                                                                    Differentiation from first principles
                                                                                                                    Differentiation from first principles
                                                                                                                    Length

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                                                                                                                      Differentiating x^n
                                                                                                                      Differentiating x^n
                                                                                                                      Length

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                                                                                                                        Differentiating functions with multiple terms
                                                                                                                        Differentiating functions with multiple terms
                                                                                                                        Length

                                                                                                                        Overview

                                                                                                                        Learning Goals

                                                                                                                          Overview
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                                                                                                                          Gradients, tangents and normals
                                                                                                                          Gradients, tangents and normals
                                                                                                                          Length

                                                                                                                          Overview

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                                                                                                                            Increasing and decreasing functions
                                                                                                                            Increasing and decreasing functions
                                                                                                                            Length

                                                                                                                            Overview

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                                                                                                                              Second order derivatives
                                                                                                                              Second order derivatives
                                                                                                                              Length

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                                                                                                                                Stationary points
                                                                                                                                Stationary points
                                                                                                                                Length

                                                                                                                                Overview

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                                                                                                                                  Sketching gradient functions
                                                                                                                                  Sketching gradient functions
                                                                                                                                  Length

                                                                                                                                  Overview

                                                                                                                                  Learning Goals

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                                                                                                                                    Learn
                                                                                                                                    Modelling with differentiation
                                                                                                                                    Modelling with differentiation
                                                                                                                                    Length

                                                                                                                                    Overview

                                                                                                                                    Learning Goals

                                                                                                                                      Overview
                                                                                                                                      Learn

                                                                                                                                      Exponentials and logarithms

                                                                                                                                      See All (9)
                                                                                                                                      Exponential functions
                                                                                                                                      Exponential functions
                                                                                                                                      Length

                                                                                                                                      Overview

                                                                                                                                      Learning Goals

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                                                                                                                                        Learn
                                                                                                                                        y = e^x
                                                                                                                                        y = e^x
                                                                                                                                        Length

                                                                                                                                        Overview

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                                                                                                                                          Exponential modelling
                                                                                                                                          Exponential modelling
                                                                                                                                          Length

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                                                                                                                                          Learning Goals

                                                                                                                                            Overview
                                                                                                                                            Learn
                                                                                                                                            Logarithms
                                                                                                                                            Logarithms
                                                                                                                                            Length

                                                                                                                                            Overview

                                                                                                                                            Learning Goals

                                                                                                                                              Overview
                                                                                                                                              Learn
                                                                                                                                              Laws of logarithms
                                                                                                                                              Laws of logarithms
                                                                                                                                              Length

                                                                                                                                              Overview

                                                                                                                                              Learning Goals

                                                                                                                                                Overview
                                                                                                                                                Learn
                                                                                                                                                Solving equations using logarithms
                                                                                                                                                Solving equations using logarithms
                                                                                                                                                Length

                                                                                                                                                Overview

                                                                                                                                                Learning Goals

                                                                                                                                                  Overview
                                                                                                                                                  Learn
                                                                                                                                                  Natural logarithms
                                                                                                                                                  Natural logarithms
                                                                                                                                                  Length

                                                                                                                                                  Overview

                                                                                                                                                  Learning Goals

                                                                                                                                                    Overview
                                                                                                                                                    Learn
                                                                                                                                                    Logarithms and non-linear data
                                                                                                                                                    Logarithms and non-linear data
                                                                                                                                                    Length

                                                                                                                                                    Overview

                                                                                                                                                    Learning Goals

                                                                                                                                                      Overview
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                                                                                                                                                      Harder exponential modelling
                                                                                                                                                      Harder exponential modelling
                                                                                                                                                      Length

                                                                                                                                                      Overview

                                                                                                                                                      Learning Goals

                                                                                                                                                        Overview
                                                                                                                                                        Learn

                                                                                                                                                        Trigonometric equations

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                                                                                                                                                        Angles in all four quadrants
                                                                                                                                                        Angles in all four quadrants
                                                                                                                                                        Length

                                                                                                                                                        Overview

                                                                                                                                                        Learning Goals

                                                                                                                                                          Overview
                                                                                                                                                          Learn
                                                                                                                                                          Exact trigonometric values
                                                                                                                                                          Exact trigonometric values
                                                                                                                                                          Length

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                                                                                                                                                          Learning Goals

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                                                                                                                                                            Trigonometric identities
                                                                                                                                                            Trigonometric identities
                                                                                                                                                            Length

                                                                                                                                                            Overview

                                                                                                                                                            Learning Goals

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                                                                                                                                                              Simple trigonometric equations
                                                                                                                                                              Simple trigonometric equations
                                                                                                                                                              Length

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                                                                                                                                                              Learning Goals

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                                                                                                                                                                Harder trigonometric equations
                                                                                                                                                                Harder trigonometric equations
                                                                                                                                                                Length

                                                                                                                                                                Overview

                                                                                                                                                                Learning Goals

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                                                                                                                                                                  Equations and identities
                                                                                                                                                                  Equations and identities
                                                                                                                                                                  Length

                                                                                                                                                                  Overview

                                                                                                                                                                  Learning Goals

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                                                                                                                                                                    Trigonometry

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                                                                                                                                                                    The cosine rule
                                                                                                                                                                    The cosine rule
                                                                                                                                                                    Length

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                                                                                                                                                                      The sine rule
                                                                                                                                                                      The sine rule
                                                                                                                                                                      Length

                                                                                                                                                                      Overview

                                                                                                                                                                      Learning Goals

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                                                                                                                                                                        Area of a triangle
                                                                                                                                                                        Area of a triangle
                                                                                                                                                                        Length

                                                                                                                                                                        Overview

                                                                                                                                                                        Learning Goals

                                                                                                                                                                          Overview
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                                                                                                                                                                          Solving triangle problems
                                                                                                                                                                          Solving triangle problems
                                                                                                                                                                          Length

                                                                                                                                                                          Overview

                                                                                                                                                                          Learning Goals

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                                                                                                                                                                            Trig graphs: sin x, cos x, tan x
                                                                                                                                                                            Trig graphs: sin x, cos x, tan x
                                                                                                                                                                            Length

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                                                                                                                                                                              Transforming trigonometric graphs
                                                                                                                                                                              Transforming trigonometric graphs
                                                                                                                                                                              Length

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                                                                                                                                                                              Learning Goals

                                                                                                                                                                                Overview
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                                                                                                                                                                                Binomial expansion I

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                                                                                                                                                                                Pascal's triangle
                                                                                                                                                                                Pascal's triangle
                                                                                                                                                                                Length

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                                                                                                                                                                                  Factorial notation
                                                                                                                                                                                  Factorial notation
                                                                                                                                                                                  Length

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                                                                                                                                                                                    Binomial expansion
                                                                                                                                                                                    Binomial expansion
                                                                                                                                                                                    Length

                                                                                                                                                                                    Overview

                                                                                                                                                                                    Learning Goals

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                                                                                                                                                                                      Solving binomial problems
                                                                                                                                                                                      Solving binomial problems
                                                                                                                                                                                      Length

                                                                                                                                                                                      Overview

                                                                                                                                                                                      Learning Goals

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                                                                                                                                                                                        Binomial estimation
                                                                                                                                                                                        Binomial estimation
                                                                                                                                                                                        Length

                                                                                                                                                                                        Overview

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                                                                                                                                                                                          Circles

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                                                                                                                                                                                          Midpoints and perpendicular bisectors
                                                                                                                                                                                          Midpoints and perpendicular bisectors
                                                                                                                                                                                          Length

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                                                                                                                                                                                            Equation of a circle
                                                                                                                                                                                            Equation of a circle
                                                                                                                                                                                            Length

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                                                                                                                                                                                              Intersection of straight lines and circles
                                                                                                                                                                                              Intersection of straight lines and circles
                                                                                                                                                                                              Length

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                                                                                                                                                                                                Using tangent and chord properties
                                                                                                                                                                                                Using tangent and chord properties
                                                                                                                                                                                                Length

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                                                                                                                                                                                                  Circles and triangles
                                                                                                                                                                                                  Circles and triangles
                                                                                                                                                                                                  Length

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                                                                                                                                                                                                    Intersection of two circles
                                                                                                                                                                                                    Intersection of two circles
                                                                                                                                                                                                    Length

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                                                                                                                                                                                                      Straight line graphs

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                                                                                                                                                                                                      y = mx + c
                                                                                                                                                                                                      y = mx + c
                                                                                                                                                                                                      Length

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                                                                                                                                                                                                        Equations of straight lines
                                                                                                                                                                                                        Equations of straight lines
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                                                                                                                                                                                                          Parallel and perpendicular lines
                                                                                                                                                                                                          Parallel and perpendicular lines
                                                                                                                                                                                                          Length

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                                                                                                                                                                                                            Length and area
                                                                                                                                                                                                            Length and area
                                                                                                                                                                                                            Length

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                                                                                                                                                                                                              Modelling with straight lines
                                                                                                                                                                                                              Modelling with straight lines
                                                                                                                                                                                                              Length

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                                                                                                                                                                                                                Transformations

                                                                                                                                                                                                                Translating graphs
                                                                                                                                                                                                                Translating graphs
                                                                                                                                                                                                                Length

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                                                                                                                                                                                                                  Stretching and reflecting graphs
                                                                                                                                                                                                                  Stretching and reflecting graphs
                                                                                                                                                                                                                  Length

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                                                                                                                                                                                                                    Transforming graphs
                                                                                                                                                                                                                    Transforming graphs
                                                                                                                                                                                                                    Length

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                                                                                                                                                                                                                      Sketching graphs

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                                                                                                                                                                                                                      Cubic graphs
                                                                                                                                                                                                                      Cubic graphs
                                                                                                                                                                                                                      Length

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                                                                                                                                                                                                                        Quartic graphs
                                                                                                                                                                                                                        Quartic graphs
                                                                                                                                                                                                                        Length

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                                                                                                                                                                                                                          Reciprocal graphs
                                                                                                                                                                                                                          Reciprocal graphs
                                                                                                                                                                                                                          Length

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                                                                                                                                                                                                                            Points of intersection
                                                                                                                                                                                                                            Points of intersection
                                                                                                                                                                                                                            Length

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                                                                                                                                                                                                                              Using the discriminant
                                                                                                                                                                                                                              Using the discriminant
                                                                                                                                                                                                                              Length

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                                                                                                                                                                                                                                Direct and inverse proportion
                                                                                                                                                                                                                                Direct and inverse proportion
                                                                                                                                                                                                                                Length

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                                                                                                                                                                                                                                  Polynomials

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                                                                                                                                                                                                                                  Functions
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                                                                                                                                                                                                                                    Expanding brackets
                                                                                                                                                                                                                                    Expanding brackets
                                                                                                                                                                                                                                    Length

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                                                                                                                                                                                                                                      Factorising
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                                                                                                                                                                                                                                        Simplifying algebraic fractions
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                                                                                                                                                                                                                                        Length

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                                                                                                                                                                                                                                          Polynomial division
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                                                                                                                                                                                                                                            The factor theorem
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                                                                                                                                                                                                                                              Equations and inequalities

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                                                                                                                                                                                                                                              Linear simultaneous equations
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                                                                                                                                                                                                                                                Quadratic simultaneous equations
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                                                                                                                                                                                                                                                  Set notation and interval notation
                                                                                                                                                                                                                                                  Set notation and interval notation
                                                                                                                                                                                                                                                  Length

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                                                                                                                                                                                                                                                    Linear inequalities
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                                                                                                                                                                                                                                                      Quadratic inequalities
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                                                                                                                                                                                                                                                        Inequalities on graphs
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                                                                                                                                                                                                                                                          Inequality regions
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                                                                                                                                                                                                                                                            Quadratics

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                                                                                                                                                                                                                                                            Solving quadratic equations
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                                                                                                                                                                                                                                                              Completing the square
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                                                                                                                                                                                                                                                                Quadratic graphs
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                                                                                                                                                                                                                                                                  Identifying the discriminant
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                                                                                                                                                                                                                                                                    Solving disguised quadratics
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                                                                                                                                                                                                                                                                      Indices and surds

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                                                                                                                                                                                                                                                                      Laws of indices
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                                                                                                                                                                                                                                                                        Negative and fractional indices
                                                                                                                                                                                                                                                                        Negative and fractional indices
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                                                                                                                                                                                                                                                                          Surds
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                                                                                                                                                                                                                                                                            Rationalising the denominator
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                                                                                                                                                                                                                                                                              Proof I

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                                                                                                                                                                                                                                                                              Mathematical structure and arguments
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                                                                                                                                                                                                                                                                                Disproof by counterexample
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                                                                                                                                                                                                                                                                                  Proof by deduction
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                                                                                                                                                                                                                                                                                    Proof by exhaustion
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                                                                                                                                                                                                                                                                                      Popular Chapters in All Year Groups

                                                                                                                                                                                                                                                                                      Fractions

                                                                                                                                                                                                                                                                                      Algebra

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                                                                                                                                                                                                                                                                                      Multiplication and division

                                                                                                                                                                                                                                                                                      Measurement

                                                                                                                                                                                                                                                                                      Trigonometry

                                                                                                                                                                                                                                                                                      Graphs

                                                                                                                                                                                                                                                                                      Geometry - properties of shapes

                                                                                                                                                                                                                                                                                      Probability

                                                                                                                                                                                                                                                                                      Shapes and area

                                                                                                                                                                                                                                                                                      Differentiation I

                                                                                                                                                                                                                                                                                      Exponentials and logarithms

                                                                                                                                                                                                                                                                                      Formulae and equations

                                                                                                                                                                                                                                                                                      Functions

                                                                                                                                                                                                                                                                                      Addition and subtraction

                                                                                                                                                                                                                                                                                      Integration I

                                                                                                                                                                                                                                                                                      Vectors I

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