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KS4 Year 11

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KS4 Year 11

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Chapter Overview

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Angles and geometry

Shapes and area

Ratio proportion and rates of change

121 Lessons

726 Exercises

Statistics

Sets and Venn diagrams

Sets and Venn diagrams

Length

Overview

Learning Goals

Sampling and bias

Sampling and bias

Length

Overview

Learning Goals

Collecting data: types and classes of data

Collecting data: types and classes of data

Length

Overview

Learning Goals

Mean, median, mode and range

Mean, median, mode and range

Length

Overview

Learning Goals

Simple charts and graphs

Simple charts and graphs

Length

Overview

Learning Goals

Pie charts

Length

Overview

Learning Goals

Scatter graphs

Length

Overview

Learning Goals

Frequency tables: finding averages

Frequency tables: finding averages

Length

Overview

Learning Goals

Grouped frequency tables

Grouped frequency tables

Length

Overview

Learning Goals

Box plots - Higher

Box plots - Higher

Length

Overview

Learning Goals

Cumulative frequency - Higher

Cumulative frequency - Higher

Length

Overview

Learning Goals

Histograms and frequency density - Higher

Histograms and frequency density - Higher

Length

Overview

Learning Goals

Interpreting data

Interpreting data

Length

Overview

Learning Goals

Comparing data sets

Comparing data sets

Length

Overview

Learning Goals

Study Tips

Boost your skills with our essential study tips!

Tips for studying Maths

Probability

Basics of probability

Basics of probability

Length

Overview

Learning Goals

Calculating theoretical probabilities

Calculating theoretical probabilities

Length

Overview

Learning Goals

Probability: Expected and relative frequency

Probability: Expected and relative frequency

Length

Overview

Learning Goals

The AND / OR rules

The AND / OR rules

Length

Overview

Learning Goals

Probability tree diagrams

Probability tree diagrams

Length

Overview

Learning Goals

Conditional probability - Higher

Conditional probability - Higher

Length

Overview

Learning Goals

Experimental probability: frequency trees

Experimental probability: frequency trees

Length

Overview

Learning Goals

Trigonometry

Pythagoras' theorem

Pythagoras' theorem

Length

Overview

Learning Goals

Sin, cos, tan

Length

Overview

Learning Goals

Trigonometry: Finding angles and sides

Trigonometry: Finding angles and sides

Length

Overview

Learning Goals

Exact trigonometric values

Exact trigonometric values

Length

Overview

Learning Goals

Sine and cosine rules - Higher

Sine and cosine rules - Higher

Length

Overview

Learning Goals

3D Pythagoras - Higher

3D Pythagoras - Higher

Length

Overview

Learning Goals

3D Trigonometry - Higher

3D Trigonometry - Higher

Length

Overview

Learning Goals

Vectors

Length

Overview

Learning Goals

Vectors - Higher

Vectors - Higher

Length

Overview

Learning Goals

Angles and geometry

Angles: types, notation and measuring

Angles: types, notation and measuring

Length

Overview

Learning Goals

Basic angle rules

Basic angle rules

Length

Overview

Learning Goals

Angles in parallel lines

Angles in parallel lines

Length

Overview

Learning Goals

Circle theorems - Higher

Circle theorems - Higher

Length

Overview

Learning Goals

Constructing triangles: SSS, SAS, ASA

Constructing triangles: SSS, SAS, ASA

Length

Overview

Learning Goals

Construction: angle and perpendicular bisectors

Construction: angle and perpendicular bisectors

Length

Overview

Learning Goals

Construction: Loci

Construction: Loci

Length

Overview

Learning Goals

Bearings

Length

Overview

Learning Goals

Maps and scale drawings

Maps and scale drawings

Length

Overview

Learning Goals

Shapes and area

Properties of 2D shapes

Properties of 2D shapes

Length

Overview

Learning Goals

Congruence: conditions for congruent triangles

Congruence: conditions for congruent triangles

Length

Overview

Learning Goals

Similar shapes: Scaling

Similar shapes: Scaling

Length

Overview

Learning Goals

The four transformations

The four transformations

Length

Overview

Learning Goals

Area and perimeter: Formulae

Area and perimeter: Formulae

Length

Overview

Learning Goals

Area and circumference of circles: Formulae

Area and circumference of circles: Formulae

Length

Overview

Learning Goals

3D shapes: faces, edges, vertices

3D shapes: faces, edges, vertices

Length

Overview

Learning Goals

Surface area of 3D shapes: Nets, formulae

Surface area of 3D shapes: Nets, formulae

Length

Overview

Learning Goals

Volume of 3D shapes: Formulae

Volume of 3D shapes: Formulae

Length

Overview

Learning Goals

Volume of 3D shapes: Comparing, rates of flow

Volume of 3D shapes: Comparing, rates of flow

Length

Overview

Learning Goals

Area and volume scale factors

Area and volume scale factors

Length

Overview

Learning Goals

Projections and elevations of 3D shapes

Projections and elevations of 3D shapes

Length

Overview

Learning Goals

Ratio proportion and rates of change

Ratio

Length

Overview

Learning Goals

Direct and inverse proportion

Direct and inverse proportion

Length

Overview

Learning Goals

Finding percentages and percentage change

Finding percentages and percentage change

Length

Overview

Learning Goals

Compound growth and decay

Compound growth and decay

Length

Overview

Learning Goals

Converting units: metric and imperial

Converting units: metric and imperial

Length

Overview

Learning Goals

Converting units: area and volume

Converting units: area and volume

Length

Overview

Learning Goals

Time intervals: converting units of time

Time intervals: converting units of time

Length

Overview

Learning Goals

Speed, density and pressure: Formulae and units

Speed, density and pressure: Formulae and units

Length

Overview

Learning Goals

Graphs

Coordinates and midpoints

Coordinates and midpoints

Length

Overview

Learning Goals

Straight line graphs

Straight line graphs

Length

Overview

Learning Goals

Drawing straight line graphs

Drawing straight line graphs

Length

Overview

Learning Goals

Finding the gradient of a straight line

Finding the gradient of a straight line

Length

Overview

Learning Goals

Equation of a straight line: y = mx + c

Equation of a straight line: y = mx + c

Length

Overview

Learning Goals

Coordinates and ratio

Coordinates and ratio

Length

Overview

Learning Goals

Parallel and perpendicular lines

Parallel and perpendicular lines

Length

Overview

Learning Goals

Quadratic graphs

Quadratic graphs

Length

Overview

Learning Goals

Reciprocal and cubic graphs

Reciprocal and cubic graphs

Length

Overview

Learning Goals

Exponential graphs and circles - Higher

Exponential graphs and circles - Higher

Length

Overview

Learning Goals

Trigonometric graphs - Higher

Trigonometric graphs - Higher

Length

Overview

Learning Goals

Solving equations using graphs

Solving equations using graphs

Length

Overview

Learning Goals

Graph transformations - Higher

Graph transformations - Higher

Length

Overview

Learning Goals

Real-life graphs

Real-life graphs

Length

Overview

Learning Goals

Distance-time graphs

Distance-time graphs

Length

Overview

Learning Goals

Velocity-time graphs - Higher

Velocity-time graphs - Higher

Length

Overview

Learning Goals

Gradients of real-life graphs - Higher

Gradients of real-life graphs - Higher

Length

Overview

Learning Goals

Algebra

Simplifying algebraic expressions

Simplifying algebraic expressions

Length

Overview

Learning Goals

Multiplying and dividing algebraic expressions

Multiplying and dividing algebraic expressions

Length

Overview

Learning Goals

Single brackets: Expanding and factorising

Single brackets: Expanding and factorising

Length

Overview

Learning Goals

Double brackets: Expanding and factorising

Double brackets: Expanding and factorising

Length

Overview

Learning Goals

Double and triple brackets - Higher

Double and triple brackets - Higher

Length

Overview

Learning Goals

Solving equations

Solving equations

Length

Overview

Learning Goals

Expressions, equations, formulae, functions and identities

Expressions, equations, formulae, functions and identities

Length

Overview

Learning Goals

Writing formulae and equations from word problems

Writing formulae and equations from word problems

Length

Overview

Learning Goals

Writing formulae and equations from diagrams

Writing formulae and equations from diagrams

Length

Overview

Learning Goals

Rearranging formulae

Rearranging formulae

Length

Overview

Learning Goals

Factorising quadratics

Factorising quadratics

Length

Overview

Learning Goals

The quadratic formula - Higher

The quadratic formula - Higher

Length

Overview

Learning Goals

Complete the square - Higher

Complete the square - Higher

Length

Overview

Learning Goals

$Algebraic fractions - Higher$

Algebraic fractions - Higher

Length

Overview

Learning Goals

Sequences

Length

Overview

Learning Goals

Finding the nth term

Finding the nth term

Length

Overview

Learning Goals

Solving inequalities

Solving inequalities

Length

Overview

Learning Goals

Inequalities on graphs - Higher

Inequalities on graphs - Higher

Length

Overview

Learning Goals

Iteration - Higher

Iteration - Higher

Length

Overview

Learning Goals

Simultaneous equations: elimination and substitution

Simultaneous equations: elimination and substitution

Length

Overview

Learning Goals

Non-linear simultaneous equations - Higher

Non-linear simultaneous equations - Higher

Length

Overview

Learning Goals

Algebraic proof - Higher

Algebraic proof - Higher

Length

Overview

Learning Goals

Composite and inverse functions - Higher

Composite and inverse functions - Higher

Length

Overview

Learning Goals

Number

Types of numbers

Types of numbers

Length

Overview

Learning Goals

Order of operations: BODMAS

Order of operations: BODMAS

Length

Overview

Learning Goals

Multiplying and dividing by powers of 10

Multiplying and dividing by powers of 10

Length

Overview

Learning Goals

Multiplying and dividing whole numbers

Multiplying and dividing whole numbers

Length

Overview

Learning Goals

Multiplying and dividing decimals

Multiplying and dividing decimals

Length

Overview

Learning Goals

Negative numbers: add, subtract, multiply, divide

Negative numbers: add, subtract, multiply, divide

Length

Overview

Learning Goals

Prime numbers and prime factorisation

Prime numbers and prime factorisation

Length

Overview

Learning Goals

Multiples, factors and prime factors

Multiples, factors and prime factors

Length

Overview

Learning Goals

LCM and HCF

Length

Overview

Learning Goals

Fractions

Length

Overview

Learning Goals

Fractions, decimals and percentages

Fractions, decimals and percentages

Length

Overview

Learning Goals

$Writing recurring decimals as fractions$

Writing recurring decimals as fractions

Length

Overview

Learning Goals

Rounding: Integers, decimal places, significant figures

Rounding: Integers, decimal places, significant figures

Length

Overview

Learning Goals

Estimation

Length

Overview

Learning Goals

Error intervals

Error intervals

Length

Overview

Learning Goals

Upper and lower bounds - Higher

Upper and lower bounds - Higher

Length

Overview

Learning Goals

Powers and roots: Square and cube numbers

Powers and roots: Square and cube numbers

Length

Overview

Learning Goals

Laws of indices: multiply, divide, brackets

Laws of indices: multiply, divide, brackets

Length

Overview

Learning Goals

$Index laws: negative and fractional indices - Higher$

Index laws: negative and fractional indices - Higher

Length

Overview

Learning Goals

Surds: Simplify, add and subtract - Higher

Surds: Simplify, add and subtract - Higher

Length

Overview

Learning Goals

Rationalising surds - Higher

Rationalising surds - Higher

Length

Overview

Learning Goals

Standard form calculations

Standard form calculations

Length

Overview

Learning Goals

Popular Chapters in All Year Groups

Fractions

Algebra

Statistics

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

Beta