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What do I need to be able to do?

Describe and continue both linear and non-linear sequences

Explain term to term rules for linear sequences

Find missing terms in a linear sequence

USEFUL SPARX CODES

M241 - Term-to-term rules for sequences of patterns
M381 - Term-to-term rules for numerical sequences
M991 - Position-to-term rules for arithmetic sequences
M327 - Substituting into expressions with multiple operations

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What do I need to be able to do?

Be able to use inverse operations and 'operation families'

Be able to substitute into single and two step function machines

Find functions from expressions

Form sequences from expressions

Represent functions graphically

USEFUL SPARX CODES
M813 - Algebraic notation
M417 - Substituting into expressions with one operation
M327 - Substituting into expressions with multiple operations
M637 - Using the distributive law

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02. Knowledge Organiser - Algebraic Notation

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What do I need to be able to do?

Form and solve linear equations

Understand like and unlike terms

Simplify algebraic expressions

USEFUL SPARX CODES
M952 - Using the commutative laws
M813 - Algebraic notation
M957 - Constructing and solving equations
M707 - Solving equations with one step
M830 - Algebraic terminology
M795 - Simplifying expressions containing a single variable
M531 - Simplifying expressions containing multiple variables

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02. Knowledge Organiser - Equality and Equivalence

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What do I need to be able to do?

Understand place value and the number system including decimals

Understand and use place value for decimals, integers and measures of any size

Order numbers and use a number line for positive and negative integers, fractions and decimals

Use the symbols <, >, =

Work with terminating decimals and their corresponding fractions

Round numbers to an appropriate accuracy

Describe, interpret and compare data distributions using the median and range

USEFUL SPARX CODES
M704 - Understanding and ordering whole numbers
M527 - Ordering negative numbers
M522 - Understanding and ordering decimals
M335 - Ordering fractions
M264 - Converting between fractions, decimals and percentages
M934 - Calculating the median
M328 - Calculating the range
M994 - Rounding whole numbers using significant figures
M131 - Rounding decimals using significant figures
HIGHER TOPICS
M113 - Multiplying and dividing by powers of 10
M719 - Using standard form with positive indices
M678 - Using standard form with negative indices

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02. Knowledge Organiser - Integers and Decimals

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What do I need to be able to do?

Covert fluently between fractions, decimals and percentages

USEFUL SPARX CODES
M958 - Converting between fractions and decimals
M264 - Converting between fractions, decimals and percentages
M410 - Finding equivalent fractions
M574 - Drawing pie charts
M165 - Interpreting pie charts

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02. Knowledge Organiser - FDP Equivalence

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What do I need to be able to do?

Understand properties of addition/subtraction

Use mental strategies for addition/subtraction

Use formal methods of addition/subtraction for integers

Use formal methods of addition/subtraction for decimals

Solve problems in context of perimeter

Solve problems with finance, tables and timetables

Solve problems with frequency trees

Solve problems with bar charts and line charts

USEFUL SPARX CODES
M462 - Dividing numbers into equal groups
M952 - Using the commutative laws
M409 - Using the associative laws
M928 - Adding whole numbers
M347 - Subtracting whole numbers
M429 - Adding decimals
M152 - Subtracting decimals
M347 - Subtracting whole numbers
M521 - Using the correct order of operations
M835 - Adding and subtracting fractions
M931 - Adding and subtracting mixed numbers
M878 - Estimating calculations
M920 - Finding perimeters using grids
M635 - Finding the perimeter of rectangles and simple shapes
M690 - Finding the perimeter of compound shapes
M460 - Drawing bar charts
M738 - Interpreting bar charts
M140 - Drawing line graphs
M183 - Interpreting line graphs
M901 - Financial terminology and calculations

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02. Knowledge Organiser - Addition and Subtraction

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What do I need to be able to do?

Understand and use factors

Understand and use multiples

Multiply/divide integers and decimals by powers of 10

Use formal methods to multiply

Use formal methods to divide

Understand and use order of operations

Solve area problems

Solve problems using the mean

USEFUL SPARX CODES
M187 - Using a written method to multiply integers
M354 - Using a written method to divide integers
M803 - Using a written method to multiply decimals
M262 - Using a written method to divide with decimals
M263 - Using a written method to divide with decimals
M823 - Finding factors and using divisibility tests
M227 - Finding the lowest common multiple (LCM)
M698 - Finding the highest common factor (HCF)
M900 - Finding areas using grids
M390 - Finding the area of rectangles
M269  - Finding the area of compound shapes
M291 - Finding the area of parallelograms
M610 - Finding the area of triangles
M996 - Finding the area of compound shapes containing triangles
M705 - Finding the area of trapeziums
M365 - Finding the HCF and LCM using prime factor decomposition
M940 - Calculating the mean
HIGHER TOPICS
M568 - Simplifying algebraic fractions by cancelling common factors

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02. Knowledge Organiser - Multiplication and Division

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What do I need to be able to do?

Find a fraction of a given amount

Use a given fraction to find the whole or other fractions

Find the percentage of an amount using mental methods

Find the percentage of a given amount using a calculator

USEFUL SPARX CODES
M264  - Converting between fractions, decimals and percentages
M695 - Finding fractions of amounts without a calculator
M684 - Finding fractions of amounts with a calculator
M437 - Finding percentages of amounts without a calculator
M905 - Finding percentages of amounts with a calculator

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02. Knowledge Organiser - Fractions & Percentages of Amounts

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What do I need to be able to do?

Perform calculations that cross zero

Add/subtract directed numbers

Multiply/divide directed numbers

Evaluate algebraic expressions

Solve two-step equations

Use order of operations with directed number

USEFUL SPARX CODES
M527 - Ordering negative numbers
M106 - Adding and subtracting with negative numbers
M288 - Multiplying and dividing with negative numbers
M521 - Using the correct order of operations
M795 - Simplifying expressions containing a single
variable
M531 - Simplifying expressions containing multiple
variables
M509 - Solving equations with two or more steps
M920 - Finding perimeters using grids
M635 - Finding the perimeter of rectangles and simple shapes
M690 - Finding the perimeter of compound shapes
M417 - Substituting into expressions with one operation
M327 - Substituting into expressions with multiple operations  M208 - Substituting into algebraic formulae
HIGHER TOPICS
M135 -  Calculating with roots and powers
M608 - Index rules with positive indices
M150 -  Index rules with negative indices

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02. Knowledge Organiser - Directed Numbers

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What do I need to be able to do?

Convert between mixed numbers and fractions

Add/subtract unit fractions (same denominator)

Add/subtract fractions (same denominator)

Add/subtract fractions from integers

Use equivalent fractions

Add/subtract any fractions

Add/subtract improper fractions and mixed numbers

Use fractions in algebraic contexts

USEFUL SPARX CODES
M601 - Converting between mixed numbers and improper
M835 - Adding and subtracting fractions
M931 - Adding and subtracting mixed numbers
fractions
M158 - Finding fractions of shapes
M410 - Finding equivalent fractions
M335 - Ordering fractions
M671 - Simplifying fractions
HIGHER TOPICS
M336 - Adding and subtracting algebraic fractions

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02. Knowledge Organiser - Addition & Subtraction of Fractions

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Constructing, Measuring and Geometric Notation

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Constructing, Measuring and Geometric Notation

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What do I need to be able to do?

Use letter and labelling conventions

Draw and measure line segments and angles

Identify parallel and perpendicular lines

Recognise types of triangle

Recognise types of quadrilateral

Identify polygons

Construct triangles (SAS, SSS, ASA)

Draw pie charts

USEFUL SPARX CODES
M502 - Types of angles
M541 - Estimating angles
M780 - Measuring angles
M331 - Drawing angles
M653 - Angles in polygons
M565 - Constructing triangles
M196 - Using a pair of compasses
M574 - Drawing pie charts
M165 - Interpreting pie charts

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02. Knowledge Organiser - Constructing, Measuring and Geometric Notation

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What do I need to be able to do?

Understand/use the sum of angles at a point

Understand/use the sum of angles on a straight line

Understand/use equality of vertically opposite angles

Know and apply the sum of angles in a triangle

Know and apply the sum of angles in a quadrilateral

USEFUL SPARX CODES
M818 - Angles on a line and about a point
M163 - Vertically opposite angles
M351 - Angles in triangles
M653 - Angles in polygons
M319 - Combining angle facts
HIGHER TOPICS
M606 - Angles on parallel lines

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02. Knowledge Organiser - Geometric Reasoning

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What do I need to be able to do?

Know and use mental addition/subtraction

Know and use mental multiplication/division

Know and use mental arithmetic for decimals

Know and use mental arithmetic for fractions

Use factors to simplify calculations

Use estimation to check mental calculations

Use number facts

Use algebraic facts

USEFUL SPARX CODES
M462 - Dividing numbers into equal groups
M952 - Using the commutative laws
M409 - Using the associative laws
M928 - Adding whole numbers
M347 - Subtracting whole numbers
M429 - Adding decimals
M152 - Subtracting decimals
M803 - Using a written method to multiply decimals
M262 - Using a written method to divide with decimals
M263 - Using a written method to divide with decimals
M347 - Subtracting whole numbers
M187 - Using a written method to multiply integers
M354 - Using a written method to divide integers
M521 - Using the correct order of operations
M835 - Adding and subtracting fractions
M931 - Adding and subtracting mixed numbers
M157 - Multiplying fractions
M197 - Multiplying with mixed numbers
M110 - Dividing fractions
M265  - Dividing with mixed numbers
M878 - Estimating calculations

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What do I need to be able to do?

Identify and represent sets

Interpret and create Venn diagrams

Understand and use the intersection of sets

Understand and use the union of sets

Generate sample spaces for single events

Calculate the probability of a single event

Understand and use the probability scale

USEFUL SPARX CODES
M655 - Using probability phrases
M941 - Writing probabilities as fractions
M938 - Writing probabilities as fractions, decimals and percentages
M829 - Venn diagrams
M419 - Probabilities from Venn diagrams
M834 -  Venn diagrams with set notation
HIGHER TOPICS
M755 - Calculating P(A or B) and P(not A)

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02. Knowledge Organiser - Sets and Probability

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What do I need to be able to do?

Find and use multiples

Identify factors of numbers and expressions

Recognise and identify prime numbers

Recognise square and triangular numbers

Find common factors including HCF

Find common multiples including LCM

USEFUL SPARX CODES
M322 - Finding prime numbers
M108 - Prime factor decomposition
M227 - Finding the lowest common multiple (LCM)
M981 - Special sequences
HIGHER TOPICS
M365 - Finding the HCF and LCM using prime factor decomposition

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02. Knowledge Organiser - Prime Numbers and Proof