Each bullet point represents a full module of worksheets.

## Year 1

Year 1 Using and applying mathematics.

- Choose and use appropriate number operations to solve problems.
- Solve mathematical puzzles and investigate.
- Investigate general statements.
- Solve simple word problems and explain.
- Problems involving money.

Year 1 Counting and understanding number.

- Count reliably a set of objects. Count on and back in steps of one.
- Read and write numbers in figures and words. Partition into TU.
- Comparing and ordering numbers. More than, less than.
- One or ten more than, or less than, a given number.
- Counting in tens. Odd and even numbers.
- Order a set of familiar numbers.
- Estimation and approximation.
- Recognise simple fractions and equivalence.
- Recognise and find simple fractions.
- Know the number names and recite them.
- Nursery rhymes.

Year 1 Knowing and using number facts.

- Describe and extend number sequences. Count on and back.
- Know addition and subtraction facts.
- Add or subtract 9. Use patterns of similar calculations.
- Add or subtract pairs of numbers mentally.
- Derive doubles and halves quickly.

Year 1 Calculating.

- Understand addition.
- Understand that more than two numbers can be added together.
- Understand subtraction.
- Use knowledge that addition can be done in any order. Identify near doubles.
- Adding or subtracting ten.
- Adding or subtracting crossing the tens.
- Add or subtract a multiple of ten.
- Combining groups of 2, 5 and 10.
- Understand division. Sharing into equal groups.

Year 1 Understanding shape.

- Describe and classify 3-D and 2-D shapes according to their properties.
- Make models, shapes and patterns. Describe their features.
- Describe positions and directions.
- Describe movement in a straight line and turning.

Year 1 Measuring

- Measure and compare.
- Suggest suitable units to estimate and measure.
- Use simple measuring equipment.
- Understand and read the time.
- Word problems involving measurement.

Year 1 Handling data

- Collect, sort and organise information (1).
- Collect, sort and organise information (2).

## Year 2

Year 2 Using and applying mathematics.

- Choose and use appropriate number operations to solve problems.
- Solve mathematical puzzles and investigate.
- Investigate general statements.
- Solve simple word problems.
- Solve problems involving money.

Year 2 Counting and understanding number.

- Count reliably a set of objects. Count on and back in steps of one.
- Counting in tens. Odd and even numbers.
- Describe and extend number sequences. Count on and back.
- Read and write 2-digit numbers. Partition a number into TU.
- Read and write 3-digit numbers. Partition a number into HTU.
- Comparing and ordering numbers. More than, less than.
- One or ten more than, or less than. Position numbers.
- Order a set of familiar numbers.
- Estimation and approximation.
- Rounding a number to the nearest ten.
- Recognise simple fractions and equivalence.

Year 2 Knowing and using number facts.

- Know addition and subtraction facts.
- Derive doubles and halves quickly.
- Multiply and divide mentally.
- Tables 2, 5 and 10 Speed practice sheets.
- Checking answers.

Year 2 Calculating.

- Understand addition.
- Understand that more than two numbers can be added together.
- Understand subtraction.
- Use knowledge that addition can be done in any order.
- Add or subtract 9/19, 11/21. Use patterns and relationships.
- Add and subtract pairs of numbers mentally.
- Add or subtract multiples of ten.
- Add or subtract: bridge through 10 or 20 etc.
- Understand multiplication.
- Understand division.
- Understanding remainders in division.
- Subtraction as the inverse of addition.

Year 2 Understanding shape.

- Describe and classify 3-D and 2-D shapes according to their properties.
- Make shapes and describe their features.
- Recognise line symmetry.
- Describe positions and directions.
- Describe movement in a straight line and turning and understand angle.

Year 2 Measuring.

- Measure and compare.
- Suggest suitable units to estimate and measure.
- Use measuring equipment. Interpret scales.
- Understand and read the time.
- Word problems involving measurement.

Year 2 Handling data.

- Collect, sort and organise information.
- Represent data.

## Year 3

Year 3 Using and applying mathematics.

- Choose and use appropriate number operations to solve problems.
- Solve mathematical puzzles and investigate.
- Investigate general statements.
- Solve word problems and explain how problems were solved.
- Solve problems involving money.
- Solve problems involving measurement.

Year 3 Counting and understanding number.

- Revise counting on and back.
- Counting in tens and hundreds. Odd and even numbers.
- Describe and extend number sequences. Count on and back.
- Read and write numbers. Partition 3-digit numbers.
- Comparing and ordering numbers. More than, less than.
- One, ten or one hundred more than, or less than a given number.
- Order a set of familiar numbers.
- Revise estimation and approximation.
- Rounding a number to the nearest ten or one hundred.
- Further rounding.
- Recognise simple fractions and equivalence.
- Recognise and find simple fractions.

Year 3 Knowing and using number facts.

- Know addition and subtraction facts.
- Further addition and subtraction facts.
- Know multiplication facts by heart. Relationship to division.
- Tables 1, 2, 3, 4, 5, 6 and 10 Speed practice sheets.
- Checking answers.

Year 3 Calculating.

- Revise understanding addition.
- Revise adding more than two numbers.
- Revise understanding subtraction.
- Revise addition skills.
- Add or subtract by adjusting. Use patterns and relationships.
- Add and subtract pairs of numbers mentally.
- Add or subtract multiples of 10 and 100.
- Addition and subtraction continued.
- Develop written methods of addition.
- Develop written methods of subtraction.
- Revise understanding of multiplication.
- Revise understanding of division. Division as the inverse of multiplication.
- Understand remainders. Rounding after division.
- Strategies for multiplication and division.
- Multiply and divide by 10, 100. Doubling and halving.
- Find unit fractions of numbers or quantities.

Year 3 Understanding shape.

- Describe and classify 3-D and 2-D shapes according to their properties.
- Make shapes and describe their features.
- Recognise line symmetry.
- Describe position and direction.
- Describe movement in a straight line and turning and understand angle.

Year 3 Measuring.

- Measure and compare. Know relationships between units.
- Choose and use suitable units to estimate and measure.
- Use measuring equipment. Interpret scales.
- Understand and read the time.

Year 3 Handling data.

- Collect, sort and organise data.
- Use bar charts, tally charts, bar graphs and pictograms.
- Use Venn and Carroll diagrams.

## Year 4

Year 4 Using and applying mathematics.

- Choose appropriate number operations and methods of calculating.
- Explain methods and reasoning about numbers.
- Solve problems, recognise patterns, generalise and predict.
- Make and investigate general statements about numbers and shapes.
- Solve one and two step word problems.
- Solve problems involving money.
- Solve problems involving length, mass or capacity.
- Solve problems involving time.
- Choose appropriate methods of calculating, including calculators.

Year 4 Counting and understanding number.

- Read and write whole numbers. Partition into ThHTU.
- Add or subtract 1, 10, 100 or 1000.
- Revise vocabulary for comparing and ordering numbers.
- Recognise and order negative numbers.
- Extend number sequences by counting on and back.
- Use fraction notation and recognise equivalent fractions.
- Use decimal notation. Order decimal fractions.
- Decimal fractions.
- Recognise equivalence between decimals and fractions.
- Solve problems concerning ratio and proportion.

Year 4 Knowing and using number facts.

- Use knowledge of addition, subtraction and place value.
- Use known number facts and place value to add or subtract.
- More multiplication facts. More doubling and halving.
- Recognise odd and even numbers. Multiples and tests of divisibility.
- Use known number facts to multiply and divide mentally.
- Multiplication tables. All tables up to 10 x 10. Speed practice sheets.
- Identify pairs of fractions that total 1.
- Revise checking results of calculations.

Year 4 Calculating.

- Revise addition and its relationship to subtraction.
- Revise subtraction and its relationship to addition.
- Add or subtract the nearest multiple of 10 and adjust.
- Use relationships between addition and subtraction: adding several numbers.
- Refine and use efficient written methods of addition.
- Refine and use efficient written methods of subtraction.
- Multiply and divide by 10, 100 and 1000.
- Revise division and its relationship to subtraction and multiplication.
- Understand remainders. Relate fractions to division.
- Develop and refine written methods for multiplication.
- Develop and refine written methods for division.
- Develop calculator skills.
- Find fractions of numbers or quantities.

Year 4 Understanding shape.

- Visualise, describe and classify 3-D and 2-D shapes.
- Visualise 3-D objects and make nets of common solids.
- Reflective symmetry in 2-D shapes. Reflections and translations.
- Recognise position and directions and use co-ordinates.
- Make turns; estimate, draw and measure angles.

Year 4 Measuring.

- Standard metric units of measurement.
- Units to estimate or measure length, mass or capacity.
- Suggest suitable measuring equipment and record estimates and readings.
- Measure and calculate the perimeter and area of simple shapes.
- Vocabulary of time. Estimate and measuring time.
- Read the time from clocks, calendars and timetables.

Year 4 Handling data.

- Collect, sort and organise data. Use tables, graphs and charts (1).
- Collect, sort and organise data. Use tables, graphs and charts (2).

## Year 5

Year 5 Using and applying mathematics.

- Choose and use appropriate calculation strategies.
- Solve real life problems.
- Solve problems involving money.
- Solve problems involving length, mass or capacity.
- Solve problems involving time.
- Tests of divisibility. Multiples.
- Solve problems, recognise patterns, generalise and predict.
- Make and investigate general statements about numbers and shapes.

Year 5 Counting and understanding number.

- Read and write whole numbers. Partition into ThHTU.
- Revise multiplying and dividing by 10 and 100.
- Revise comparing and ordering numbers.
- Revise estimating and approximating.
- Revise rounding numbers.
- Recognise and order negative numbers.
- Extend number sequences. Counting on and back.
- Recognise equivalent fractions. Order fractions.
- Solve problems concerning ratio and proportion.
- Use decimal notation. Order decimal fractions.
- Round decimals. Equivalence between decimals and fractions.
- Understand percentages.

Year 5 Knowing and using number facts.

- Know, with rapid recall, addition and subtraction facts.
- Use known number facts to add or subtract pairs of numbers mentally.
- Double and halve.
- Use knowledge of tables to calculate mentally.
- Multiply and divide by 10 and 100 and further doubling and halving.
- Square numbers, prime numbers, factors and multiples.
- Checking results of calculations.

Year 5 Calculating.

- Revise understanding addition.
- Revise understanding subtraction.
- Use mental calculation strategies.
- Use relationships between addition and subtraction: adding several numbers.
- Use efficient written methods of addition.
- Use efficient written methods of subtraction.
- Revise understanding multiplication.
- Revise understanding division.
- Doubling and halving. Use factors.
- Develop and refine written methods for multiplication.
- Develop and refine written methods for division.
- Multiply and divide by 10, 100 and 1000.
- Use a calculator.
- Find fractions of numbers or quantities.
- Find percentages of numbers or quantities.

Year 5 Understanding shape.

- Visualise, describe and classify 3-D and 2-D shapes.
- Make shapes and patterns with increasing accuracy.
- More shapes and nets.
- Recognise positions and directions and use co-ordinates.
- Reflective symmetry in 2-D shapes. Reflections and translations.
- Estimate, draw and measure angles.

Year 5 Measuring.

- Standard metric units of measurement.
- Units to estimate or measure length, mass or capacity.
- Read scales, record estimates and measure.
- Measure and calculate the perimeter and area of simple shapes.
- Vocabulary of time. Estimating and measuring time.
- Using the 24-hour clock to read time and timetables.

Year 5 Handling data.

- Use the language of chance or likelihood.
- Collect and organise data. Use tables, graphs and charts.
- Further data handling. Use median and mode.

## Year 6

Year 6 Using and applying mathematics.

- Solve problems involving real life.
- Solve problems involving length, mass or capacity.
- Solve problems involving time.
- More time problems.
- Choose appropriate number operations and methods of calculating.
- Explain methods and reasoning.
- Solve problems, recognise patterns, generalise and predict.
- Make and investigate general statements about numbers and shapes.
- Extend number sequences.
- Solve problems involving money

Year 6 Counting and understanding number.

- Revise rounding whole numbers.
- Revise estimating and approximating.
- Recognise and order negative numbers.
- Use fraction notation and recognise equivalent fractions. Order fractions.
- Use decimal notation. Order decimal fractions.
- Round decimals. Equivalence between decimals and fractions.
- Percentages as fractions of 100. Equivalence of percentages, fractions and decimals.
- Ratio and proportion problems

Year 6 Knowing and using number facts.

- Revise multiplication and square numbers.
- Revise doubling and halving. Using factors.
- Use known facts to multiply mentally.
- Use known number facts to multiply and divide decimals.
- Square numbers, prime numbers and identifying factors.
- Square and cube numbers, square roots and prime factors.
- Multiples and tests of divisibility.
- Checking results of calculations.
- Extension: Conventions for working out expressions. (Bodmas).

Year 6 Calculating.

- Revise addition.
- Revise subtraction.
- Add or subtract decimals to the nearest whole one and adjust.
- Use relationships between addition and subtraction and adding several numbers.
- Using known number facts and place value to add or subtract pairs of numbers mentally.
- Use known number facts to add or subtract decimals.
- Use efficient written methods of addition.
- Use efficient written methods of subtraction.
- Revise multiplication.
- Revise division.
- Understand remainders. Round up or down after division.
- Use efficient written methods of multiplication.
- Use efficient written methods of division.
- Find fractions of numbers or quantities.
- Develop calculator skills.

Year 6 Understanding shape.

- Visualise, describe and classify 3-D and 2-D shapes.
- Reflective symmetry in 2-D shapes. Reflections and translations.
- Use co-ordinates and extend to 4 quadrants.
- Estimate, draw and measure angles.

Year 6 Measuring.

- Use standard metric units and convert between units.
- Units to estimate or measure length, mass or capacity.
- Read scales, record estimates and measure.
- Measure and calculate the perimeter and area of simple shapes.
- Measure and calculate the circumference of circles.

Year 6 Handling data.

- Describe and predict outcomes using the language of chance or likelihood.
- Collect and organise data. Use tables, graphs and charts.
- Further data handling.

Year 6 Practice tests.

- KS2 Mental arithmetic test A.
- KS2 Mental arithmetic test B.
- KS2 NCT Practice Paper 1.
- KS2 NCT Practice Paper 2.
- KS2 NCT Practice Paper 3.
- KS2 NCT Practice Paper 4.

Year 6 Booster.

- Number.
- Time.
- Shape.
- Graphs and tables.

KS2 Test Revision

- Missing digits: Non-calculator level 3 to 4
- Missing digits: Calculator level 3 to 4
- Calculation: Non-calculator level 3 to 4
- Calculation: Calculator level 3 to 4
- Shopping: Non-calculator level 3 to 4
- Shopping: Calculator level 3 to 4

## Four rules

Addition.

- Addition: whole numbers.
- Addition with decimals.

Subtraction.

- Subtraction: whole numbers.
- Subtraction with decimals.

Multiplication.

- Multiply 2-digit numbers by 1-digit numbers.
- Multiply 2-digit numbers with 1-decimal place by 1-digit numbers.
- Multiply 2-digit numbers by 2-digit numbers.
- Multiply 2-digit numbers with 1 decimal place by 2-digit numbers.
- Tables 2, 5 and 10 Speed practice sheets.
- Tables 1, 2, 3, 4, 5, 6 and 10 Speed practice sheets.
- Multiplication tables. All tables up to 10 x 10. Speed practice sheets.

Division.

- Divide 2-digit numbers by 1-digit numbers.
- Divide numbers with 1 or 2 decimal places by 1-digit numbers.
- Divide 3-digit numbers by 2-digit numbers.

## Mental

Year 1.

- Teacher Guidance.
- Year 1 Foundation.
- Year 1 Autumn term.
- Year 1 Spring term.
- Year 1 Summer term.

Year 2.

- Year 2 Autumn term.
- Year 2 Spring term.
- Year 2 Summer term.

Year 3.

- Year 3 Autumn term.
- Year 3 Spring term.
- Year 3 Summer term.

Year 4.

- Year 4 Autumn term.
- Year 4 Spring term.
- Year 4 Summer term.

Year 5.

- Year 5 Autumn term.
- Year 5 Spring term.
- Year 5 Summer term.

Year 6.

- Year 6 Autumn term.
- Year 6 Summer term.
- Year 6 Spring term

## Investigate

Easier number investigations.

- 19 miles: How many ways can three runners cover 19 miles"e;
- Terrific Twenty: Making whole numbers up to 20.
- 5 digit addition: Investigating numbers using five digits.
- Crazy addition: 0-9 cards to make addition sums.
- Add 1 to 4: Making addition sums using the digits 1 to 4.
- Bull"e;s Eye: Throw darts to make different scores.
- Consecutive numbers: Investigate consecutive numbers on a 3x3 board.
- Hexagon addition: Find totals through a hexagonal shape.
- Only three: Making number plates for cars.
- Six out: Match pairs of numbers that have a difference of six.
- Subtract pairs: Investigate subtraction in a hexagon.
- Under 30: Multiply 3 digits to make totals under 30.
- Up and down: Make rows total the same as columns.

Harder number investigations.

- Three make one: Find three fractions that total a given fraction.
- The answer is 0: Investigate sums with the answer zero.
- The answer is 10: Investigate sums with the answer ten.
- Calculator fractions: Finding fractions for recurring decimals.
- Consecutive products: Products of consecutive numbers in sequences.
- Dotty patterns: Sequences produced by building patterns of dots.
- Factors: Factors of numbers, prime and composite numbers.
- Four fours: Make numbers using four fours.
- Halves: Summing the series: ½ + ¼
- Many make one: Making a fraction by totalling a number of other fractions.
- Modulo arithmetic: Modulo arithmetic.
- Multiplication square: Investigating patterns in the multiplication square.
- 1 to 4: Making other numbers using the digits 1, 2, 3 and 4.
- Palindromic numbers: Finding palindromic numbers by reversing digits.
- Primes from squares: Primes that can be written as the sum of two squares"e;
- Products: Investigating products of the first three digits.
- Six columns: Investigating numbers written as six columns.
- Triangle numbers: Investigating situations in which triangle numbers arise.

Easier shape investigations.

- Multilink shapes: Use 24 cubes to make shapes.
- Caterpillar: How many ways can food pass through a caterpillar"e;
- Halving: Halving a bar of chocolate.
- Lines and rectangles: Making rectangles from different numbers of lines.
- Routes: Find different ways of getting from home to school.
- Straw shapes: Make rectangles from a variety of straws.
- Tessellation squares: Tessellate shapes by cutting and sliding.
- Tricky triangles: Use four equilateral triangles to make shapes.

Harder shape investigations.

- 60 centimetre cuboids: Investigate cuboids with a perimeter of 60 cm.
- Colouring maps: Four colour map problem.
- Cubes: Painting faces of cubes and slicing.
- Equilateral matchsticks: Patterns made from equilateral triangles.
- Exterior and interior angles of polygons: Find relationships between angles.
- Farmer's field: Find maximum and minimum areas given a fixed perimeter.
- Networks: Investigating shapes without taking the pencil off the paper.
- Pentominoes: How many ways can 5 squares be arranged"e;
- Snooker table: Investigating a ball bouncing at 45 degrees.
- Tessellations: Tessellating polygons.

Money investigations.

- 10p change: Different ways of receiving 10p change.
- Penny sweets: What can you buy with 6p"e;
- 3 coins: Given three coins, what totals are possible"e;
- £6 model: Possible ways of paying £6.
- Coins: What coins can be used to make varying amounts of money"e;

General investigations.

- Body parts: data collection, organisation and manipulation.
- Codes: Using data collected about frequency of letter use to solve codes.
- Necklace: How many ways can 6 beads be coloured"e;
- Odd 13: Placing counters on a board so that rows and columns are odd.
- Roll-a-penny: Probability investigation about rolling a penny between lines.
- Two dice: Probability investigation about possible scores when two dice are thrown.

Data for further investigations.

- Dimensions.
- Alien dimensions.
- Survey.
- Planets.
- How to use this data.

## Puzzles

Word and number searches.

- Year 1 length word search.
- Year 1 numbers to ten word search (1).
- Year 1 numbers to ten word search (2).
- Year 1 ordering/place value word search.
- Year 1 number positions word search.
- Year 1 shapes word search.
- Year 2 measures word search.
- Year 2 months of the year word search.
- Year 2 numbers word search.
- Year 2 two times table word search.
- Year 2 five times table word search.
- Year 2 ten times table number search.
- Year 3 three times table number search.
- Year 3 four times table word search.
- Year 3 data word search.
- Year 3 make 10 number search.
- Year 3 calculate word search.
- Year 3 2-D shape word search.
- Year 4 six times table word search.
- Year 4 data word snake.
- Year 4 make 12 number search.
- Year 4 measure word snake.
- Year 4 position word search.
- Year 4 shape word search.
- Year 5 seven times table number search.
- Year 5 fractions word search.
- Year 5 make 20 number search.
- Year 5 number system word search.
- Year 5 probability word snake.
- Year 5 shape word snake.
- Year 6 calculator word snake.
- Year 6 data word snake.
- Year 6 make 24 number search.
- Year 6 measure word search.
- Year 6 shape word search.
- Year 6 time word search.

Sudoku.

- Easy sudoku puzzles.
- Medium sudoku puzzles.
- Hard sudoku puzzles.
- Fiendish sudoku puzzles.

Board games and games of strategy.

- Three hexagon.
- Four star.
- Seven line.
- Fifteen up.
- Thirty one.
- Thirty up.
- Criss cross three: subtraction.
- Spirals.
- Deadly red.
- Balloon twos.
- Pig.
- Never touch.
- Nim.
- Make 42.
- Hex.
- Diving board.
- Cross the bridge.
- Square boxes.
- Multiplication bingo.
- Co-ordinate bingo.
- Dice bingo
- Criss cross three: addition.

Puzzles.

- 12 to 15 squares.
- Four lines.
- Seven up.
- Anagrams.
- A square triangle.
- Balloon bursting.
- Bishop's move.
- Calculator words.
- Loose change.
- Code breaker.
- Counter reflection.
- Digit detector.
- Dizzy digits.
- Dress Addy.
- Food for thought.
- Funky 15.
- Head over tails.
- Initial numbers.
- The largest number.
- Add up to 20.
- It all adds up to nothing.
- Not three in a line.
- Triangular terror.
- 20 golden rings.
- Ten tents.
- Highest total.
- Christmas tree.
- Tricky twenty triangle.

Matchstick puzzles.

- Matchstick puzzle 1: the cherry in the glass.
- Matchstick puzzle 2: six nil.
- Matchstick puzzle 3: pens for pigs.
- Matchstick puzzle 4: six three.
- Matchstick puzzle 5: only two.
- Matchstick puzzle 6: leave 6.
- Matchstick puzzle 7: seven up.
- Matchstick puzzle 8: leave 3.
- Matchstick puzzle 9: four triangles.
- Matchstick puzzle 10: make 9.
- Matchstick puzzle 11: four squares.
- Matchstick puzzle 12: six/nine squares.

Magicmaths.

- Magicmaths: the answer is 15 (easier magic).
- Magicmaths: the answer is 3 (easier magic).
- Magicmaths: the answer is 8 (easier magic).
- Magicmaths: granny's age.
- Magicmaths: 1089.
- Magicmaths: take away.
- Magicmaths: the answer is 37.
- Magicmaths: amazing addition.
- Magicmaths: dice dynamics.
- Magicmaths: fool all the people.
- Magicmaths: out of a hat.
- Magicmaths: think of a number.
- Magicmaths: square numbers.

## Support

Dictionaries.

- Dictionary for pupils 5-12.
- Dictionary for teaching assistants.

Certificates.

- Gold certificate for achievement.
- Silver certificate for achievement.
- Bronze certificate for achievement.
- Certificate for effort.
- Certificate for tables.

Help.

- Primary Framework for Mathematics and age groups.
- Page referencing/numbering for year groups.
- List of modules