prior learning: unit 1 - place value, decimals and using ... · unit 3 - four operations with...

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Understand place value and work

with numbers upto one million.

13

Understand place value of decimals and use place

value to be able to order decimals, including correct

use of ≥, >, ≤, < and ≠ .

46Multiply and divide integers

and decimals by powers of 10. 15,16

Recognise and convert between metric measures

of length.

691

Convert between metric measures of mass. 691

Unit 1 - Place value, decimals and using scales

Use and understandscale drawings.

864

Prior learning:• Round any number to 10, 100, 1000, 10 000, 100 000.• Determine the value of each digit in a number.• Read, write and convert standard units of measure.

Next steps:• Factors, multiples and primes.• Identifying HCF and LCM.• Four operations with integers and decimals.



Multiplicative number bonds.

4,6,10What is a factor? 27

Rules of divisibility. 26What is a prime number? Reasoning and problem

solving with prime numbers.

28

Highest common factors and their application. 31

Unit 2 - Factors, multiples, primes, HCF and LCM

Lowest common multiples and their

application.

34

What is a multiple?

33

Prior learning:• Multiplication times tables.• Repeated addition strategies.

Next steps:• Using LCM for adding / subtracting fractions.• Prime factorisation - “product of primes”.



Identifying number bonds and use

them to support with addition.

1,9

Column addition methods for whole numbers. 18

Use number bonds to subtract numbers mentally. 2,3

Column subtraction methods for whole

numbers.

19

Unit 3 - Four operations with integers and decimals

Subtraction with decimal numbers. 19,141

Addition with decimal numbers. 47

Prior learning:• Multiplicative number bonds.• Understand place value for whole numbers and decimals.

Next steps:• Converting fractions, decimals and percentages.• Ordering fractions, decimals and percentages.• Four operations with fractions.

Multiplication methods for

whole numbers and decimals.

21,144

Division methods for whole numbers and decimals. 145,146



Next steps:- Addition and subtraction of fractions.- Multiplication and division of fractions.- Mixed numbers and fractions.

Equivalent fractions. 59

Understand what a fraction is. 58

Express terminating decimals as fractions.

73,74Express a fraction as a decimal using division. 73,74

Express one amount as a fraction of another.

Find a fraction of an amount.

77

Unit 4 - Understanding fractions

Prior learning:- Use common factors to simplify fractions.- Associate a fraction with division.- Understand how to split / share equally.



Addition of fractions. 65Simplify fractions. 61

Addition of mixed numbers.

63-64Subtraction of

fractions. 66

Associative nature of multiplication.

Multiplication and division of fractions.

68,70

Unit 5 - Four operationswith fractions

Prior learning:- Understand equivalent fractions.- Convert between fractions and decimals.- Fractions of an amount.

Next steps:- Compare and order fractions.- Order fractions, decimals and percentages.- Find what lies between two fractions.

8

Multiplication of a number and a fraction. 67,72



Compare and order fractions.

60Compare and order decimals. 46

Compare and order negatives numbers.

37 Inequalities and number lines. 265,266

Order fractions and decimals, including negative numbers.

Find a decimal, fraction or negative which lies between two others.

149

Unit 6 - Compare and order fractions, decimals and integers

Prior learning:- Simplify fractions.- Addition and subtraction of fractions.- Multiplication and division of fractions.

Next steps:- Calculate fractions of an amount.- Fraction, decimal and percentage multipliers.- Further calculations involving negative numbers.

149



Unit 7 - Solving equations

Prior learning:- Expressing missing number problems algebraically.- Find pairs of numbers that satisfy an equation with two

unknowns.

Next steps:- Understand sequences.- Find the nth term of a sequence.

Number bonds and inverse operations.

177 Solving one step equations.

178

Solving two step equations.

691 Solving equations with xon both sides. 691

Understand the difference between an equation,

formula, identity or expression.

154



Unit 8 - Presenting and interpreting data

Prior learning:- Interpret and construct simple pie charts and line

graphs.- Calculate and interpret mean as an average.

Next steps:- Understand the vocabulary of probability.- Find simple probabilities from tables and charts.

Interpret diagrams that display data.

425-427Creating tally tables leading to bar charts. 401, 425

Calculating the mode, median and mean of a

set of discrete data.

404-409

Combined average questions.

413, 419

Calculate the range from a set of data.

410Construct a pie chart.

Compare sets of data using average and range.

427-429

413, 419

Averages from frequency tables.

414-418

Problem solving with averages. 419-421



Unit 9 - PerimeterPrior learning:- Compare and classify geometric shapes based on their

properties.- Illustrate and name parts of circles.

Next steps:- Area of rectilinear shapes.- Area of triangles, parallelograms, trapeziums and

kites.

Names and properties of

shapes.

822Units of

measure. 691Perimeter of rectangles.

548-550Perimeter of

rectilinear shapes. 548-550

Perimeter of circles.

534Problem solving with rectilinear

shapes and perimeter.

551,552

Problem solving with rectangle perimeter. 551,552

Problem solving circles and perimeter. 535-537



Unit 10 - Area and Perimeter

Prior learning:- Name and classify 2D shapes.- Find perimeter of shapes including circles.

Next steps:- 3D shapes and their properties.- Surface area and volume of 3D shapes.

Area of rectangles.

554Area of rectilinear shapes. 555

Area of a parallelogram.

556Area of a triangle. 557

Area of trapeziums.

559Area of a

kite. 557Problem solving

with area.

554-559



Unit 11 - SequencesPrior learning:- Generate and describe linear number sequences.- Express missing numbers using letters.- Understanding multiples.

Next steps:- Quadratic sequences.- Arithmetic and geometric sequences.

Adding and subtracting negative numbers.

39, 40What is a sequence and describing sequences. 197

Sequences as pictures.196

Finding the next term of an arithmetic sequence. 197

Term to term rules and recurrence relations.

197Using the nth term formula including finding if a value is

part of a sequence.

198

nth term of an arithmetic sequence. 198

Special non-arithmetic sequences. 261



Unit 12 - Properties of 2D shapes

Prior learning:- Understand simple properties of 2D shapes.- Understand simple properties of 3D shapes.

Next steps:- Understand the angle properties of particular shapes.- Find missing angles using angle properties.

What is an angle? Measuring angles.

458-460Estimating angles. 457

Parallel – what does it mean? Parallel lines.

668 Reflection and lines of symmetry.

639-641

Rotation and order of symmetry.

648-649

Properties of shapes –using symbols and letters

to describe.

822-826Properties of regular shapes and circles. 822



Unit 13 - Angle Properties

Prior learning:- Understand what an angle is.- Be able to measure and estimate angles.- Know different types of angles.

Next steps:- Understand angle properties involving parallel lines.- Use the rule for vertically opposite angles.

Angles around a point.

479812-814

Angles on a line. 477,478

Angles in a triangle

485-487 Angles in a quadrilateral 560

Sum of angles in polygons.

561-562Interior/exterior angles in

regular polygons.

561-564Special rule for exterior

angle of any triangle. 561-564



Unit 14 - Parallel lines and angles

Prior learning:- Know and use angle properties around a point and on a

line.- Understand the sum of angles in polygons.

Next steps:- Use angle properties to recognize congruent shapes.- Understand the angle properties of similar shapes.

Understand parallel, perpendicular and intersecting lines.

668Vertically

opposite angles. 480Corresponding

angles.

483Alternate

angles. 481

Co-interior angles.

482Further problems

involving angles and parallel lines.

488-491



Unit 15 - Co-ordinates and transformations

Prior learning:- Describe positions on a coordinate grid.- Draw and translate simple shapes on the coordinate

plane.

Next steps:- Transformations of curves.- Solving problems with transformations.

Plot and readco-ordinates.

199Using co-ordinates to solve problems. 199

Reflections using axes as lines of symmetry and

equations of vertical and horizontal lines.

205, 639

Describing reflections.

650

Rotations on a co-ordinate grid.

648-650Describing rotations. 650

Translations.

637-638Combined

transformations.650-657

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