** 📢 Registration: Monday 5th January | 4:30–5:00pm • Classes start: 5:00–6:00pm @ Willesden Library ** 📢 Registration: Monday 5th January | 4:30–5:00pm • Classes start: 5:00–6:00pm @ Willesden Library ** 📢 Registration: Monday 5th January | 4:30–5:00pm • Classes start: 5:00–6:00pm @ Willesden Library **

📘 Year 7 Maths – FULL Curriculum


A. Place Values and Number Sense

  1. Convert between standard and expanded form

  2. Place values

  3. Convert between place values

  4. Place value word problems

  5. Writing numbers up to one million in words: convert words to digits

  6. Writing numbers up to one million in words: convert digits to words

  7. Writing numbers up to ten million in words: convert words to digits

  8. Writing numbers up to ten million in words: convert digits to words

  9. Compare numbers up to one million

  10. Compare numbers up to ten million

  11. Put numbers in order: up to one million

  12. Put numbers in order: up to ten million

  13. Roman numerals

  14. Rounding: up to thousands place

  15. Rounding: up to millions place

  16. Even or odd: arithmetic rules


B. Addition and Subtraction

  1. Add and subtract whole numbers up to millions

  2. Add and subtract whole numbers: word problems

  3. Complete addition and subtraction sentences

  4. Fill in the missing digits

  5. Choose numbers with a particular sum or difference

  6. Properties of addition

  7. Add using properties

  8. Inequalities with addition and subtraction

  9. Estimate sums and differences of whole numbers up to four digits

  10. Estimate sums and differences of whole numbers up to six digits

  11. Estimate sums and differences: word problems up to six digits


C. Multiplication Fluency

  1. Multiplication facts to 10

  2. Multiplication facts up to 10: find the missing factor

  3. Choose the multiples of a given number up to 10

  4. Multiplication facts to 12

  5. Multiplication facts up to 12: find the missing factor

  6. Choose the multiples of a given number up to 12


D. Multiplication

  1. Multiply by 1-digit numbers

  2. Multiply by 1-digit numbers: word problems

  3. Multiplication patterns over increasing place values

  4. Properties of multiplication

  5. Multiply by a multiple of ten

  6. Estimate products

  7. Estimate products: word problems

  8. Use one multiplication fact to complete another

  9. Multiply 2-digit numbers by 2-digit numbers using area models I

  10. Multiply 2-digit numbers by 2-digit numbers using area models II

  11. Multiply 2-digit numbers by 2-digit numbers using partial products

  12. Multiply 2-digit numbers by 2-digit numbers: complete the missing steps

  13. Multiply 2-digit numbers by 2-digit numbers

  14. Multiply 2-digit numbers by 2-digit numbers: word problems

  15. Box multiplication

  16. Lattice multiplication

  17. Multiply 2-digit numbers by 3-digit or 4-digit numbers: complete the missing steps

  18. Multiply 2-digit numbers by 3-digit or 4-digit numbers

  19. Multiply 2-digit numbers by 3-digit or 4-digit numbers: word problems

  20. Multiply three or more numbers up to 2 digits each

  21. Multiply three or more numbers: word problems

  22. Choose numbers with a particular product

  23. Multiply numbers ending in zeros

  24. Multiply numbers ending in zeros: word problems

  25. Inequalities with multiplication


E. Division Fluency

  1. Division facts to 10

  2. Division facts to 10: word problems

  3. Division facts to 12

  4. Division facts to 12: word problems


F. Division

  1. Divide by 1-digit numbers

  2. Divide by 1-digit numbers: word problems

  3. Division patterns over increasing place values

  4. Estimate quotients

  5. Estimate quotients: word problems

  6. Estimate quotients using compatible numbers

  7. Divide by 2-digit numbers using models

  8. Divide by 2-digit numbers using partial quotients

  9. Divide 2-digit and 3-digit numbers by 2-digit numbers

  10. Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems

  11. Divide 4-digit numbers by 2-digit numbers

  12. Divide 4-digit numbers by 2-digit numbers: word problems

  13. Adjust quotients

  14. Multi-step word problems: multiplicative comparison

  15. Relate multiplication and division

  16. Complete the division sentence: 2-digit divisors

  17. Choose numbers with a particular quotient

  18. Divide numbers ending in zeros

  19. Divide numbers ending in zeros: word problems


G. Number Theory

  1. Divisibility rules

  2. Divisibility rules: word problems

  3. Identify factors

  4. Find all the factor pairs of a number

  5. Prime and composite numbers: up to 20

  6. Prime and composite numbers: up to 100

  7. Prime factorisation

  8. Highest common factor

  9. Lowest common multiple


H. Decimals

  1. What decimal number is illustrated?

  2. Model decimals and fractions

  3. Understanding decimals expressed in words

  4. Place values in decimal numbers

  5. Relationship between decimal place values

  6. Convert decimals between standard and expanded form

  7. Equivalent decimals

  8. Round decimals

  9. Decimal number lines

  10. Compare decimals on number lines

  11. Compare decimal numbers

  12. Put decimal numbers in order

  13. Convert fractions to decimals

  14. Convert mixed numbers to decimals

  15. Convert decimals to fractions

  16. Convert decimals to mixed numbers

  17. Convert decimals between standard and expanded form using fractions

  18. Compare decimals and fractions on number lines

  19. Compare decimals and fractions

  20. Put assorted decimals, fractions and mixed numbers in order

  21. Number sequences involving decimals


I. Add and Subtract Decimals

  1. Add decimal numbers using blocks

  2. Add decimal numbers

  3. Use properties to add three decimals

  4. Subtract decimal numbers

  5. Add and subtract decimal numbers

  6. Use compensation to add and subtract decimals

  7. Add and subtract decimals: word problems

  8. Choose decimals with a particular sum or difference

  9. Complete the decimal addition or subtraction sentence

  10. Inequalities with decimal addition and subtraction

  11. Estimate sums and differences of decimals


J. Multiply Decimals

  1. Estimate products of two-digit whole numbers and decimals

  2. Estimate products of decimals

  3. Multiply a decimal by 10, 100 or 1,000

  4. Multiply by 0.1 or 0.01

  5. Multiply by a power of ten: find the missing number

  6. Multiply a decimal by a one-digit whole number using blocks

  7. Multiply a decimal by a one-digit whole number using the distributive property

  8. Multiply a decimal by a one-digit whole number

  9. Multiply a decimal by a one-digit whole number: word problems

  10. Inequalities with decimal multiplication

  11. Multiply a decimal by a two-digit whole number using area models

  12. Multiply a decimal by a two-digit whole number

  13. Multiply a decimal by a one- or two-digit whole number: word problems

  14. Multiply three or more numbers, one of which is a decimal


K. Divide Decimals

  1. Estimate decimal quotients

  2. Divide a whole number by 10, 100 or 1,000: decimal quotients

  3. Divide a decimal by 10, 100 or 1,000

  4. Decimal division patterns over increasing place values

  5. Divide two whole numbers: decimal quotients

  6. Divide a decimal by a power of ten: find the missing number

  7. Divide decimals using blocks

  8. Divide decimals using area models

  9. Divide decimals by one-digit whole numbers

  10. Division with decimal quotients and rounding

  11. Division with decimal quotients: word problems


L. Fractions and Mixed Numbers

  1. Fractions review

  2. Fractions of a whole: word problems

  3. Fractions of a group: word problems

  4. Equivalent fractions

  5. Patterns of equivalent fractions

  6. Write fractions in lowest terms

  7. Lowest common denominator

  8. Mixed numbers

  9. Convert between improper fractions and mixed numbers

  10. Graph and compare fractions on number lines

  11. Compare fractions and mixed numbers

  12. Put fractions in order

  13. Arithmetic sequences with fractions

  14. Geometric sequences with fractions

  15. Round mixed numbers

  16. Reciprocals

  17. Relate division and fractions

  18. Understand fractions as division: word problems

  19. Fractions as division: decimal quotients


M. Add and Subtract Fractions

  1. Decompose fractions multiple ways

  2. Add and subtract fractions with the same denominator using number lines

  3. Add and subtract fractions with the same denominator

  4. Add and subtract fractions with the same denominator: word problems

  5. Add three or more fractions with the same denominator

  6. Add three or more fractions with the same denominator: word problems

  7. Add and subtract mixed numbers with the same denominator

  8. Add and subtract mixed numbers with the same denominator: word problems

  9. Add up to 4 fractions with denominators of 10 and 100

  10. Add fractions with different denominators using models

  11. Add fractions with different denominators

  12. Subtract fractions with different denominators using models

  13. Subtract fractions with different denominators

  14. Add and subtract fractions with different denominators

  15. Add and subtract fractions with different denominators: word problems

  16. Add three or more fractions with different denominators

  17. Add three or more fractions with different denominators: word problems

  18. Complete addition and subtraction sentences with fractions

  19. Inequalities with addition and subtraction of fractions

  20. Estimate sums and differences of mixed numbers

  21. Add mixed numbers with different denominators

  22. Subtract mixed numbers with different denominators

  23. Add and subtract mixed numbers with different denominators

  24. Add and subtract mixed numbers with different denominators: word problems

  25. Complete addition and subtraction sentences with mixed numbers

  26. Inequalities with addition and subtraction of mixed numbers


N. Multiply and Divide Fractions

  1. Multiply unit fractions by whole numbers using number lines

  2. Multiply unit fractions by whole numbers using models

  3. Multiples of fractions

  4. Multiply unit fractions and whole numbers: sorting

  5. Multiply fractions by whole numbers using number lines

  6. Multiply fractions by whole numbers using models

  7. Multiply fractions and whole numbers: sorting

  8. Multiply fractions by whole numbers

  9. Multiply fractions by whole numbers: input/output tables

  10. Fractions of a number

  11. Fractions of a number: word problems

  12. Scaling whole numbers by fractions: justify your answer

  13. Scaling whole numbers by fractions

  14. Multiply two unit fractions using models

  15. Multiply two fractions using models

  16. Multiply two fractions

  17. Multiply fractions: word problems

  18. Complete the fraction multiplication sentence I

  19. Complete the fraction multiplication sentence II

  20. Divide unit fractions by whole numbers using models

  21. Divide unit fractions by whole numbers using area models

  22. Divide unit fractions by whole numbers

  23. Divide fractions by whole numbers


O. Integers

  1. Understanding integers

  2. Integers on number lines

  3. Graph integers on horizontal and vertical number lines

  4. Understanding opposite integers

  5. Compare integers

  6. Put integers in order


P. Add and Subtract Integers

  1. Add integers using number lines

  2. Subtract integers using number lines

  3. Add and subtract integers using number lines


Q. Mixed Operations

  1. Add, subtract, multiply and divide whole numbers

  2. Add, subtract, multiply and divide whole numbers: word problems

  3. Write numerical expressions

  4. Evaluate numerical expressions

  5. Evaluate numerical expressions with brackets

  6. Evaluate numerical expressions with brackets and square brackets

  7. Evaluate numerical expressions with brackets in different places

  8. Numerical operations: find the missing sign

  9. Add, subtract, multiply and divide decimals

  10. Add, subtract, multiply and divide decimals: word problems

  11. Equations with mixed operations: true or false

  12. Add, subtract, multiply and divide fractions and mixed numbers

  13. Add, subtract and multiply fractions and mixed numbers: word problems


R. Problem Solving

  1. Make the largest possible quotient

  2. Write numerical expressions for word problems

  3. Multi-step addition and subtraction word problems

  4. Multi-step word problems

  5. Multi-step word problems involving remainders

  6. Multi-step word problems: identify reasonable answers

  7. Word problems with extra or missing information

  8. Guess-and-check problems

  9. Find the order

  10. Use Venn diagrams to solve problems


S. Ratios and Rates

  1. Write a ratio

  2. Write a ratio using a fraction

  3. Write a ratio: word problems

  4. Identify equivalent ratios

  5. Write an equivalent ratio

  6. Ratio tables

  7. Unit rates

  8. Equivalent rates

  9. Ratios and rates: word problems

  10. Do the ratios form a proportion?

  11. Solve the proportion

  12. Scale drawings: word problems


T. Percents

  1. What percentage is illustrated?

  2. Understanding percents: bar models

  3. Convert fractions to percents using grid models

  4. Convert between percents, fractions and decimals

  5. Convert between percents, fractions and decimals: word problems

  6. Compare percents to each other and to fractions

  7. Compare percents and fractions: word problems

  8. Percent of a number

  9. Percent of a number: word problems

  10. Compare percents of numbers


U. Money

  1. Add and subtract money amounts

  2. Add and subtract money amounts: word problems

  3. Multiply money amounts

  4. Multiply money amounts: word problems

  5. Multiply money amounts with decimals

  6. Multiply money amounts with decimals: word problems

  7. Divide money amounts

  8. Divide money amounts: word problems

  9. Divide money amounts with decimals

  10. Divide money amounts with decimals: word problems

  11. Price lists

  12. Unit prices


V. Number Sequences

  1. Use a rule to complete an addition or subtraction pattern

  2. Use a rule to complete a number pattern

  3. Use a two-step rule to complete a number pattern

  4. What is true about the addition pattern?

  5. What is true about the multiplication pattern?

  6. Complete a linear number sequence

  7. Complete an increasing number sequence

  8. Complete a geometric number sequence

  9. Linear sequences: word problems

  10. Number sequences: word problems

  11. Number sequences: mixed review

  12. Shape patterns


W. Coordinate Plane

  1. Describe the coordinate plane

  2. Objects on a coordinate plane

  3. Graph points on a coordinate plane

  4. Coordinate planes as maps

  5. Objects on a coordinate plane – all four quadrants

  6. Graph points on a coordinate plane – all four quadrants

  7. Quadrants


X. Equations and Variables

  1. Write variable expressions

  2. Write variable expressions: word problems

  3. Evaluate variable expressions

  4. Properties of addition with variables

  5. Properties of multiplication with variables

  6. Identify equivalent expressions using bar models

  7. Write a one-step equation from words

  8. Model and solve one-step equations using algebra tiles

  9. Write and solve one-step equations that represent diagrams

  10. Solve one-step addition and subtraction equations with whole numbers

  11. Solve one-step multiplication and division equations with whole numbers

  12. Solve one-step equations with whole numbers

  13. Write one-step equations: word problems

  14. Solve one-step equations: word problems

  15. Does (x, y) satisfy an equation?

  16. Find a value using two-variable equations

  17. Complete a table for a two-variable relationship

  18. Complete a table from a graph

  19. Graph a two-variable relationship

  20. Write a two-variable equation


Y. Data and Graphs

  1. Read a table

  2. Interpret pictograms

  3. Create pictograms

  4. Interpret line graphs

  5. Create line graphs

  6. Interpret bar graphs for categorical data

  7. Create bar graphs for categorical data

  8. Interpret double bar graphs for categorical data

  9. Create double bar graphs for categorical data

  10. Interpret bar graphs for grouped data

  11. Create bar graphs for grouped data

  12. Interpret line plots

  13. Create line plots

  14. Interpret frequency tables: one-step problems

  15. Interpret frequency tables: multi-step problems

  16. Create frequency tables

  17. Interpret stem-and-leaf plots

  18. Create stem-and-leaf plots

  19. Pie charts

  20. Pie charts and central angles

  21. Choose the best type of graph


Z. Probability and Statistics

  1. Understanding probability

  2. Find the probability

  3. Find the probability as a fraction

  4. Experimental probability

  5. Use collected data to find probabilities and make predictions

  6. Make predictions

  7. Identify statistical questions

  8. Find the mode

  9. Find the mean

  10. Find the median

  11. Find the range

  12. Mode: find the missing number

  13. Mean: find the missing number

  14. Median: find the missing number

  15. Range: find the missing number

  16. Interpret charts to find mode

  17. Interpret charts to find mean

  18. Interpret charts to find median

  19. Interpret charts to find range

  20. Identify representative, random and biased samples


AA. Time

  1. Convert time units

  2. Add and subtract mixed time units

  3. Elapsed time

  4. Find start and end times: word problems

  5. Convert between 12-hour and 24-hour time

  6. Time zones – 12-hour time

  7. Time zones – 24-hour time

  8. Schedules and timelines – 12-hour time

  9. Schedules – 24-hour time

  10. Time patterns


BB. Units of Measurement

  1. Choose the more reasonable temperature

  2. Calculate temperature differences

  3. Choose the appropriate metric unit of measure

  4. Compare and convert metric units of length

  5. Compare and convert metric units of mass

  6. Compare and convert metric units of volume

  7. Convert metric mixed units

  8. Add and subtract metric mixed units

  9. Multi-step problems with metric unit conversions

  10. Choose the appropriate imperial unit of measure

  11. Compare and convert imperial units of length

  12. Compare and convert imperial units of weight

  13. Compare and convert imperial units of volume

  14. Imperial mixed units

  15. Convert between miles and kilometres

  16. Convert between metric and imperial units

  17. Precision


CC. Two-Dimensional Figures

  1. Is it a polygon?

  2. Regular and irregular polygons

  3. Number of sides in polygons

  4. Interior angles of polygons

  5. Sort polygons into Venn diagrams

  6. Properties of polygons

  7. Lines, line segments and rays

  8. Parallel, perpendicular and intersecting lines

  9. Parts of a circle


DD. Angles

  1. Types of angles

  2. Measure angles with a protractor

  3. Draw angles with a protractor

  4. Find a missing angle – vertical angles

  5. Find a missing angle – adjacent angles

  6. Find a missing angle – supplementary angles

  7. Find a missing angle – vertical, adjacent and supplementary angles

  8. Find a missing angle – complementary angles

  9. Find measures of complementary and supplementary angles


EE. Triangles and Quadrilaterals

  1. Classify triangles

  2. Find missing angles in triangles

  3. Parallel sides in quadrilaterals

  4. Sides and angles of quadrilaterals

  5. Identify parallelograms

  6. Identify trapeziums

  7. Identify rectangles

  8. Identify rhombuses

  9. Classify quadrilaterals

  10. Pick all the names for a quadrilateral

  11. Draw quadrilaterals

  12. Graph triangles and quadrilaterals

  13. Identify the relationships between quadrilaterals

  14. Describe relationships among quadrilaterals

  15. Find missing angles in quadrilaterals


FF. Symmetry and Transformations

  1. Lines of symmetry

  2. Draw lines of symmetry

  3. Count lines of symmetry

  4. Rotational symmetry

  5. Rotational symmetry: amount of rotation

  6. Identify reflections, rotations and translations

  7. Translations: graph the image

  8. Reflections: graph the image

  9. Combinations of reflections, rotations and translations

  10. Identify congruent and similar figures

  11. Identify similar triangles and quadrilaterals


GG. Three-Dimensional Figures

  1. Identify three-dimensional figures

  2. Count vertices, edges and faces

  3. Which figure is being described?

  4. Nets of three-dimensional figures

  5. Three-dimensional figures viewed from different perspectives


HH. Geometric Measurement

  1. Find the perimeter of rectangles using formulas

  2. Perimeter with whole number side lengths

  3. Perimeter with decimal side lengths

  4. Area of squares and rectangles

  5. Understanding area of a parallelogram

  6. Area of parallelograms

  7. Understanding area of a triangle

  8. Area of right triangles

  9. Area of triangles

  10. Area of compound figures

  11. Area between two rectangles

  12. Area and perimeter of figures on grids

  13. Area and perimeter: word problems

  14. Use area and perimeter to determine cost

  15. Relationship between area and perimeter

  16. Volume of figures made of unit cubes

  17. Volume of cubes and cuboids

  18. Relationship between volume and the area of the base: word problems

  19. Compare volumes and dimensions of cuboids: word problems


II. Financial Literacy

  1. Identify advantages and disadvantages of payment methods

  2. Evaluate payment methods

  3. Reading financial records

  4. Keeping financial records

  5. Balance a budget

  6. Adjust a budget

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