Year 1 (Level 1 and start on level 2)

Objective

Program

Pack

Know by heart all pairs of numbers with a total of 10 (K)

TenSprint

Numeracy

Use everyday language to describe position, direct and movement

Maze

Movement

Year 2 (Consolidation of level 2 and start on level 3)

Objective

Program

Pack

Understand that more than 2 numbers can be added. Begin to add three single digit numbers mentally

TenSprint

Numeracy

Compare two given two digit numbers, say which is more or less and give a number which lies in between

Guess

Discovering Number

Year 3 (Revision of level 2 and start on level 3)

Objective

Program

Pack

Recognise two-digit and three-digit multiples of 2, 5 or 10, and three-digit multiples of 50 and 100.

Numbers, Multiples

Properties of Number

Order whole numbers to at least 1000 (K)

Guess, Box

Discovering Number

Begin to find remainders after simple division

Maximum Remainder (Practice)

Enriching Number

Identify and sketch lines of symmetry in simple shapes, and recognise shapes with no lines of symmetry (K)

Add a Square Remove a Square

Symmetry and Transformations

Sketch the reflection of a simple shape in a mirror line along one edge.

Mirror

Symmetry and Transformations

Recognise unit fractions and use them to find fractions of shape (K)

Matching Fractions (Level 1)

Numeracy

Year 4 (Consolidation of level 3 and start on level 4)

Objective

Program

Pack

Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict. Suggest extensions asking "What if...?"

Boat, Tadpoles

Mathematical Puzzles

Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it.

Inscribe (resource program)

Investigations

Give one or more numbers lying between given numbers and order a set of whole numbers less than 10000

Guess

Discovering Number

Estimate a proportion

Lines

Discovering Number

Recognise negative numbers in context (e.g. on a number line)

Box, Guess

Discovering Number

Recognise simple fractions that are several parts of a whole, recognise the equivalence of simple fractions.

Towers, Wall

Sense of Number

Find remainders after division (K)

Maximum Remainder

Enriching Number

Recognise the equivalence of simple fractions (K)

Matching Fractions (Level 1)

Numeracy

Order simple fractions

Ordering Fractions (Level 1)

Numeracy

Use known number fact and place value to add or subtract mentally.

Minimax

Sense of Number

Add 3 or 4 small numbers

AddsUpTo, Magic

Numeracy

Recognise position

3InALine

Co-ordinates

Use the 8 compass directions N, S, E, W, NE, NW, SW, SE

Pilot (Level 1)

Movement

Classify polygons using criteria such as: symmetry properties (K)

Add a Square Remove a Square

Symmetry and Transformations

Sketch the reflection of a simple shape in a mirror line parallel to one side (all sides parallel or perpendicular to the mirror line).

Transform - Reflections

Symmetry and Transformations

Year 5 (Revision of level 3, but mainly level 4)

Objective

Program

Pack

Choose and use appropriate number operations to solve problems,

Minimax

Sense of Number

Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict. Suggest extensions asking "What if...?"

Boat, Hopslide, Tadpoles

Mathematical Puzzles

Make general statements about odd or even numbers

Numbers

Properties of Number

Recognise multiples of 6, 7, 8, 9, up to the 10th multiple.

Numbers

Properties of Number

Order a given set of positive and negative integers (K)

Box

Discovering Number

Use decimal notation for tenths and hundredths (K)

Box, Guess

Discovering Number

Know by heart all multiplication facts up to 10 x 10.

Money Share

Ratio

Solve simple problems using ideas of ratio and proportion ('one for every... ' and ' one in every...')

Money Share, Paint Mix (Level 1), Ratio Match (Level 1)

Ratio

Use known number facts and place value for mental addition and subtraction

Darts

Numeracy

Use doubling or halving starting from known facts.

Darts

Numeracy

Read and plot co-ordinates in the first quadrant

Elephant (Level 1) Rhino (Level 1) Lines

Co-ordinates

Understand and use angle measure in degrees. Estimate acute and obtuse angles

Angle 90, Angle 360

Angle Estimation

Recognise where a shape will be after a reflection in a mirror line parallel to one side (sides not all parallel or perpendicular to the mirror line).

Transform - Reflection Mirror - Mirror Draw

Symmetry and Transformations

Classify triangle (isosceles, equilateral, scalene)

Inscribe - 3 of a Kind

Investigations

Recognise where a shape will be after a translation.

Transform - Translation

Symmetry and Transformations

Year 6 (Consolidation of level 4 and start on level 5)

Objective

Program

Pack

Solve mathematical problems or puzzles, recognise and explain patterns and relationships, generalise and predict. Suggest extensions asking "What if...?"

Boat, Hopslide, Jumping, Reverse, Tadpoles

Mathematical Puzzles

Recognise prime numbers to at least 20.

Numbers

Properties of Number

Order fractions such as 2/3, 3/4, 5/6,

Tower (Level 2)

Sense of Number

Numeracy

Make general statements about odd or even numbers.

Identify, Numbers

Properties of Number

Recognise multiples up to 10 x 10.

Identify, Numbers

Properties of Number

Recognise square numbers to at least 12 x 12.

Identify, Numbers

Properties of Number

Recognise prime numbers to at least 20.

Identify, Numbers

Properties of Number

Solve simple problems involving ratio and proportion.(K)

NumberLine

Numeracy

Give a decimal fraction lying between two others (e.g. between 3.4 and 3.5)

Magnify, Guess

Discovering Number

Use known number facts and place value to consolidate mental addition and subtraction

Darts

Numeracy

Use known number facts and place value to consolidate mental multiplication and division

Darts

Numeracy

Order a mixed set of numbers with up to 3d.p.

Box, Magnify

Discovering Number

Make and investigate a general statement about familiar numbers or shapes by finding examples that satisfy it. Develop from explaining a generalised relationship in words to expressing it in a formula using letters as symbols.

Points, Trellis

Investigations

Calculate the perimeter and area of simple compound shapes that can be split into rectangles (K)

Spirals - Squares Inside and Triangles Inside

Investigations

Read and plot co-ordinates in all four quadrants

Elephant, Rhino

Co-ordinates

Recognise where a shape will be after reflection: in a mirror line touching the shape at a point (side of shape not necessarily parallel or perpendicular to the mirror line).

Transform - Reflection Mirror - Mirror Draw Mirror - Mirror Line

Symmetry and Transformations

Recognise where a shape will be after reflection: in two mirror lines at right-angles (side of shape all parallel or perpendicular to the mirror line).

Transform - Reflection Rangoli

Symmetry and Transformations

Recognise and estimate angles

Angle 90, Angle 360, Snooker

Angle Estimation

Classify quadrilaterals

Inscribe - 3 of a Kind, Star Challenge

Investigations

Recognise where a shape will be after a rotation through 90 about one of its vertices.

Transform - Rotation Centre Point (Level 1)

Symmetry and Transformations

Use the language associated with probability to discuss events, including those with equally likely outcomes

Hidden Contents, Loaded Dice, Pinball, Probability Match, Routes

Probability

Year 7 Revision of Level 4, but mainly level 5

Objective

Program

Pack

Identify the necessary information to solve a problem; represent problems mathematically, making use of symbols, words, diagrams, tables and graphs. Break a complex calculation into smaller steps, choosing and using appropriate and efficient operations, methods... (K) Present and interpret solutions in the context of the original problem; explain and justify methods and conclusions, (K) orally and in writing. Suggest extensions by asking "What if...?" or "Why?"; begin to generalise...

Boat, Frogs, Hanoi, Hats, Hopslide, Jugs, Jumping, Master, Nim, Reverse, Tadpoles

Mathematical Puzzles

Algebra Magic

Algebra

Recognise and use multiples, factors, .., highest common factor and lowest common multiple in simple cases, and primes (less than 100)

Define, Identify, Numbers, Factor

Properties of Number

Inscribe - 3 of a Kind, Star Challenge

Recognise the first few triangular numbers, squares of numbers to 12 x 12...

Define, Identify, Numbers

Properties of Number

Understand the relationship between ratio and proportion; use ratio notation, ... divide a quantity into two parts in a given ratio; solve simple problems about ratio and proportion using informal strategies.

Money Share, Paint Mix, Ratio Match

Ratio

Understand and use decimal notation and place value : multiplying and dividing integers and decimals by 10, 100 and 1000 and explain the effect

Tenners

Numeracy

Compare and order decimals in different contexts

Box, Guess

Discovering Number

Understand negative numbers as position on a number line.

Box, Guess

Discovering Number

Recognise the equivalence of percentages, fractions and decimals

Equivalent Pairs

Enriching Number

Use fraction notation to describe parts of shapes

Matching Fractions

Numeracy

Calculate simple percentages, fractions and decimals.

Make that Number (Level 1)

Enriching Number

Understand addition, subtraction, multiplication and division as they apply to whole numbers

Minimax

Sense of Number

Generate and describe simple algebra sequences

Frogs, Boat

Mathematical Puzzles

Mapping Match

Algebra

Use correct vocabulary ... shapes

Inscribe - 3 of a Kind, StarChallenge

Investigations

Use 2-D representations to visualise 3-D

3-D Maze

Movement

Generate sequences from practical context and describe the general term in simple cases

Frogs, Boat

Mathematical Puzzles

Understand and use the language associated with ..., translations, ...

Racegame

Movement

Use conventions and notation for 2-D co-ordinates in all four quadrants

Elephant (Level 2), Rhino, Locate

Co-ordinates

Use angle measure: distinguish between estimate the size of acute, obtuse and reflex angles

Angle 90, Angle 360, Snooker

Angle Estimation

Recognise and estimate angles

Angle 90, Angle 360, Snooker

Angle Estimation

Know and use the formula for the area of a rectangle; calculate the perimeter and area of shapes made from rectangles

Spirals - Squares Inside, Triangles Inside

Investigations

Understand and use the language and notation associated with reflection, translations and rotations

Transform - Reflections Transform - Rotation Transform - Translation Tiles

Symmetry and Transformations

Recognise and visualise the transformation and symmetry of 2-D shapes: reflection in given mirror lines and line symmetry.

Add a Square Remove a Square Mirror - Mirror Line Mirror - Mirror Image Rangoli - Challenge Transform - Reflections

Symmetry and Transformations

Recognise and visualise the transformation and symmetry of 2-D shapes: rotation about a given point and rotation symmetry

Centre Point - Level 1, 2 and 3 Transform - Rotation

Symmetry and Transformations

Explore these (rotations, reflection and translation) transformations and symmetries using ICT

Transform - Reflections Transform - Rotation Transform - Transformation Tiles

Symmetry and Transformations

Collect data from a simple experiment and record in a frequency table; estimate probabilities based on this data

Hidden Contents, Loaded Dice

Probability

Compare experimental and theoretical probabilities in simple contexts

Pinball

Probability

Understand and use the probability scale from 0 to 1; find and justify probabilities based on equally likely outcomes in simple contexts

Probability Match, Routes

Probability

Simplify linear algebraic expressions by collecting like terms

Algebraic Magic

Algebra

Solve word problems and investigate in a range of contexts

Algebraic Magic

Algebra

Use simple formulae from mathematics with integer coefficients (unknown on one side only) using appropriate methods (e.g. inverse operations)

Equation Buster, Predict

Algebra

Understand that algebraic operations follow the same conventions and order as arithmetic

Equation Buster, Equation Resource, Predict

Algebra

Use letter symbols to represent unknown numbers or variables; know the meaning of the words term, expression and equation

Equation Buster, Equation Resource, Predict

Algebra

Construct and solve simple linear equations with integer coefficients (unknown on one side only) using an appropriate method

Equation Resource

Algebra

Plot graphs of simple linear functions , where y is given explicitly in terms of x on paper and using ICT; recognise straight-line graphs parallel to the x-axis or y-axis

Equation Resource

Algebra

Generate terms of a simple sequence, given a rule (e.g. finding a term from the previous term, finding a term given its position in the sequence)

Mapping Match

Algebra

Year 8 (Consolidation of Level 5, and start on level 6)

Objective

Program

Pack

Solve more demanding problems and investigate in a range of contexts

3-D Maze, Queens

Movement

Algebraic Magic

Algebra

Identify the necessary information to solve a problem; represent problems in algebraic, geometric or graphical form.(K) Solve more complex problems by breaking them into smaller steps... Present and interpret solutions, justifying inferences and explaining reasoning...(K) Suggest extensions by asking "What if...?" or "Why?"; begin to generalise...

Boat, Frogs, Hanoi, Hats, Hopslide, Jugs, Jumping, Master, Nim, Reverse, Tadpoles

Mathematical Puzzles

Order decimals

Box, Guess, Magnify

Discovering Number

Use equivalence of fractions decimals and percentages to compare proportions (K)

Make that Number (Level 2)

Enriching Number

Add, subtract, multiply and divide integers

Darts, NumberLines (Levels 3 - 5)

Numeracy

Recognise and use multiples, factors (divisors), common factor, highest common factor, lowest common multiple and primes

Trellis

Investigations

Consolidate understanding of the relationship between ratio and proportion; reduce a ratio to its simplest form, ... divide a quantity into two ... parts in a given ratio ... (K)

Money Share, Paint Mix, Ratio Buster, Ratio Match

Ratio

Express simple functions in symbols; represent mappings expressed algebraically

Points

Investigations

Equation Resource, Mapping Match, Predict

Algebra

Plot the graphs of linear functions where y is given explicitly in terms of x. Recognise that equations of the form y=mx + c correspond to straight line graphs.

Plotter (y = mx, Find the Line )

Graphing

Equation Resource

Algebra

Transform 2-D shapes by simple combinations of rations, reflections and translations, on paper and using ICT.

Transform Tiles

Symmetry and Transformations

Enlarge 2-D shapes, given a centre of enlargement and a positive whole-number scale factor (K) explore enlargement using ICT.

Transform - Enlargement

Symmetry and Transformations

Estimate probabilities from experimental data; understand that: - if an experiment is repeated there may be, and usually will be, different outcomes; - increasing the number of times an experiment is repeated generally leads to better estimates of probability

Hidden Contents, Loaded Dice

Probability

Know that if the probability of an event is p, then the probability of it not occurring is 1p

Pinball, Probability Match, Routes

Probability

Find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way, using diagrams and tables

Pinball, Probability Match, Routes

Probability

Simplify or transform linear expressions by collecting like terms

Algebraic Magic, Equation Resource

Algebra

Substitute integers into simple formulae

Equation Buster, Predict

Algebra

Construct and solve linear equations with integer coefficients (unknown on either or both sides, without and with brackets) using appropriate methods (e.g. inverse operations, transforming both sides in the same way)

Equation Buster, Equation Resource

Algebra

Know that algebraic operations follow the same conventions and order as arithmetic operations

Equation Resource, Predict

Algebra

Generate terms of a linear sequence using term-to-term and position-to-term definitions of a sequence

Mapping Match

Algebra

Generate and describe integer sequences

Mapping Match

Algebra

Year 9 (Revision of Level 5, but mainly level 6 objectives for able pupils at level 7 with some on level 8)

Objective

Program

Pack

Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form to another to get a different perspective on the problem. Solve substantial problems by breaking them into simpler tasks Present a precise, reasoned argument, making use of symbols, diagrams and graphs and related explanatory text...(K) Suggest extensions by asking "What if...?" or "Why?"; begin to generalise...

Hanoi, Hats

Mathematical Puzzles

Movement

Use proportional reasoning to solve a problem, and choose the correct numbers to take as 100%, or as a whole; ... interpret and use ratio in a range of contexts, including solving word problems.

Ratio Buster

Ratio

Generate terms of a sequence using term-to-term and position-to-term definitions of a sequence, on paper and using ICT (K)

Points, Trellis

Investigations

Mapping Match

Algebra

Investigate the gradients of parallel lines (EX)

Plotter (Parallel Lines)

Graphing

Equation Resource

Algebra

Solve linear inequalities in one variable

Regions (Guess Inequalities Level 1 and Level 3)

Graphing

Begin to solve inequalities in two variables (EX)

Regions (Guess Inequalities Level 2 and Level 4)

Graphing

Given values for m and c, find the gradient of lines given by equations of the form y = mx + c (K)

Plotter (Find the Line, Lineover, Point and Lines, y = mx)

Graphing

Visualise and use 2-D representation of 3-D objects

3-D Maze

Movement

Use units of measurement to calculate ... and solve problems in a variety of contexts ...

Ratio Buster

Ratio

Transform 2-D shapes by combinations of translations, rotation and reflections on paper and using ICT.

Transform

Symmetry and Transformations

Know that translations, rotations and reflections preserve length and angle and map object on to congruent images. (K)

Transform

Symmetry and Transformations

Enlarge 2-D shapes, given a centre of enlargement and a whole number scale factor, on paper and using ICT.

Transform - Enlargement

Symmetry and Transformations

Extend to enlarging 2-D shapes, given a fractional scale factor; recognise the similarity of the resulting shape (EX)

Transform - Enlargement

Symmetry and Transformations

Find the locus of a point that moves according to a simple rule, both by reasoning and by using ICT

Elephant

Co-ordinates

Estimate probabilities from experimental data; understand relative frequency as an estimate of probability and use this to compare outcomes of experiments

Hidden Contents, Pinball

Probability

Use the vocabulary of probability in interpreting results involving uncertainty and prediction

Loaded Dice

Probability

Solve increasingly demanding problems and evaluate solutions; explore connections in mathematics across a range of contexts

Algebraic Magic

Algebra

Construct and solve linear equations with integer coefficients (with and without brackets, negative signs anywhere in the equations, positive or negative solutions), using an appropriate method

Equation Buster, Equation Resource

Algebra

Substitute numbers into expressions and formulae

Equation Buster, Predict

Algebra

Write an expression to describe the nth term of an arithmetic sequence

Mapping Match

Algebra