Home

Maths

Geometry - position and direction

Describing positions in the four quadrants

Select Lesson

Algebra

Simple formulae

Linear number sequences

Missing number problems

Solving equations with two unknowns

Ratio and proportion

Solving ratio problems

Calculating percentages of amounts

Scale factor problems

Unequal sharing

Statistics

Pie charts

Line graphs

Discrete and continuous data

Mean, median, mode and range

Geometry - position and direction

Coordinate polygons

Drawing and reflecting shapes on the coordinate grid

Drawing and translating shapes on the coordinate grid

Describing positions in the four quadrants

Geometry - properties of shapes

2D shapes: Types and properties

3D shapes: Types and properties

Comparing and classifying shapes

3D shape nets

Geometric shapes: Types and properties

Parts of a circle

Drawing and measuring angles with a protractor

Angles around a point and on a straight line

Finding missing angles

Measurement

Calculate and convert between units of measure

Perimeter of composite rectilinear shapes

Area of irregular shapes

Area of parallelograms and triangles

Formulae for the area and volume of shapes

Calculating the volume of cubes and cuboids

Fractions

Finding fractions of amounts

Mixed numbers and improper fractions

Comparing and ordering fractions greater than 1

Simplifying fractions

Add and subtract fractions: Different denominators

Multiplying pairs of proper fractions

Dividing fractions by whole numbers

Equivalent fractions, decimals and percentages

Multiplying decimals by whole numbers

Dividing and expressing the answer as a decimal

Multiplication and division

Times tables up to 12 x 12

Multiplying a 4-digit number by a 1 or 2-digit number

Dividing numbers up to 4 digits by a 2-digit number

Mental maths strategies

Common factors and multiples

Order of operations: BIDMAS

Using estimation to check answers

Addition and subtraction

Adding numbers using mental maths

Using column addition to add numbers

Subtracting numbers using mental maths

Using column subtraction to subtract numbers

Multi-step problems with addition and subtraction

Inverse operations to check calculations

Number and place value

Numbers to 10,000,000

Place value: Four-digit numbers

Representing numbers in different ways

Rounding any number up to 1,000,000

Counting using positive and negative numbers

Counting in powers of 10

Negative numbers

Explainer Video

Tutor: Labib

Summary

Describing positions in the four quadrants

In a nutshell

A coordinate grid has four separate sections called quadrants. When plotting points or carrying out transformations, you may need to use one or more of the four quadrants.

Identifying the four quadrants

The $1st, 2nd, 3rd,$ and $4th$ quadrants are visualised below. The $2nd, 3rd$ and $4th$ quadrants all involve negative numbers, either on the $x$ -axis, the $y$ -axis, or both.

Plotting points

For any coordinate on a graph, the first value given is the $x$ -coordinate and the second value is the $y$ -coordinate. To plot a point, firstly find the $x$ -coordinate on the $x$ -axis, then either go up or down to the level of the $y$ -coordinate on the $y$ - axis.

Note: If the $y$ -coordinate is positive, move up and if the $y$ -coordinate is negative, move down instead.

Example

Plot the points $A(6,7);B(-2,4);C(-3,-3);D(2,-5)$ on the grid below.

Maths; Geometry - position and direction; KS2 Year 6; Describing positions in the four quadrants

Point A: Find $\underline{6}$ on the $x$ -axis, then move up $\underline{7}$ spaces.

Point B: Find $\underline{-2}$ on the $x$ -axis, then move up $\underline{4}$ spaces.

Point C: Find $\underline{-3}$ on the $x$ -axis, then move down $\underline{3}$ spaces.

Point D: Find $\underline{2}$ on the $x$ -axis, then move down $\underline{5}$ spaces.

Note: "Along the corridor and up the stairs" is a reminder of the order in which to plot coordinates.

Learn with Basics

Length:

Unit 1

Coordinates in the first quadrant

Jump Ahead

Optional

Unit 2