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.
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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”.
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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
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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.
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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