IXL Skill Plan | The Northern Ireland Curriculum: Key Stage 3, Year 9

The Northern Ireland Curriculum: Key Stage 3, Year 9

Skills available for Northern Ireland Key Stage 3, Year 9 maths objectives

Section

Developing pupils' Knowledge, Understanding and Skills
Developing pupils as Individuals
Developing pupils as Contributors to Society
Developing pupils as Contributors to the Economy and the Environment
Learning Outcomes

Print skill plan

Developing pupils' Knowledge, Understanding and Skills
Develop knowledge and understanding of:
Develop knowledge and understanding of:

Number		Number theory 1. Multiplicative inverses 2. Divisibility rules 3. Identify factors 4. Prime or composite 5. Prime factorisation 6. Highest common factor 7. Lowest common multiple 8. Classify numbers Standard form 9. Convert between ordinary numbers and standard form 10. Compare numbers written in standard form Decimals 11. Decimal numbers review 12. Compare and order decimals 13. Decimal number lines 14. Round decimals Fractions and mixed numbers 15. Write fractions in lowest terms 16. Lowest common denominator 17. Compare and order fractions 18. Compare fractions: word problems 19. Convert between mixed numbers and improper fractions 20. Compare mixed numbers and improper fractions 21. Convert fractions or mixed numbers to decimals 22. Convert between decimals and fractions or mixed numbers 23. Put a mix of decimals, fractions and mixed numbers in order Integers 24. Understanding integers 25. Integers on number lines 26. Graph integers on horizontal and vertical number lines 27. Compare and order integers Rational numbers 28. Identify rational numbers 29. Rational numbers on number lines 30. Compare and order rational numbers using number lines 31. Compare rational numbers 32. Put rational numbers in order 33. Rational numbers: find the sign Indices and roots 34. Understanding indices 35. Evaluate indices 36. Solve equations with variable indices 37. Indices with negative bases 38. Indices with decimal and fractional bases 39. Evaluate numerical expressions involving indices 40. Square roots of perfect squares 41. Estimate square roots 42. Cube roots of perfect cubes Ratios, rates and proportions 43. Understanding ratios 44. Identify equivalent ratios 45. Write an equivalent ratio 46. Unit rates 47. Equivalent rates 48. Do the ratios form a proportion? 49. Solve proportions 50. Rate of change 51. Constant rate of change Direct proportions 52. Find the constant of proportionality from a table 53. Write equations for proportional relationships from tables 54. Identify proportional relationships by graphing 55. Find the constant of proportionality from a graph 56. Write equations for proportional relationships from graphs 57. Identify proportional relationships from graphs and equations 58. Identify proportional relationships from tables 59. Complete a table and graph a proportional relationship 60. Interpret graphs of proportional relationships 61. Write and solve equations for proportional relationships Percents 62. What percentage is illustrated? 63. Convert between percents, fractions and decimals 64. Compare percents to fractions and decimals 65. Solve percent problems using grid models 66. Solve percent problems using bar models 67. Estimate percents of numbers 68. Percents of numbers and money amounts 69. Compare percents of numbers 70. Find what percent one number is of another 71. Find the total given a part and a percent 72. Solve percent equations 73. Percent of change
Number
Number theory 1. Multiplicative inverses 2. Divisibility rules 3. Identify factors 4. Prime or composite 5. Prime factorisation 6. Highest common factor 7. Lowest common multiple 8. Classify numbers Standard form 9. Convert between ordinary numbers and standard form 10. Compare numbers written in standard form Decimals 11. Decimal numbers review 12. Compare and order decimals 13. Decimal number lines 14. Round decimals Fractions and mixed numbers 15. Write fractions in lowest terms 16. Lowest common denominator 17. Compare and order fractions 18. Compare fractions: word problems 19. Convert between mixed numbers and improper fractions 20. Compare mixed numbers and improper fractions 21. Convert fractions or mixed numbers to decimals 22. Convert between decimals and fractions or mixed numbers 23. Put a mix of decimals, fractions and mixed numbers in order Integers 24. Understanding integers 25. Integers on number lines 26. Graph integers on horizontal and vertical number lines 27. Compare and order integers Rational numbers 28. Identify rational numbers 29. Rational numbers on number lines 30. Compare and order rational numbers using number lines 31. Compare rational numbers 32. Put rational numbers in order 33. Rational numbers: find the sign Indices and roots 34. Understanding indices 35. Evaluate indices 36. Solve equations with variable indices 37. Indices with negative bases 38. Indices with decimal and fractional bases 39. Evaluate numerical expressions involving indices 40. Square roots of perfect squares 41. Estimate square roots 42. Cube roots of perfect cubes Ratios, rates and proportions 43. Understanding ratios 44. Identify equivalent ratios 45. Write an equivalent ratio 46. Unit rates 47. Equivalent rates 48. Do the ratios form a proportion? 49. Solve proportions 50. Rate of change 51. Constant rate of change Direct proportions 52. Find the constant of proportionality from a table 53. Write equations for proportional relationships from tables 54. Identify proportional relationships by graphing 55. Find the constant of proportionality from a graph 56. Write equations for proportional relationships from graphs 57. Identify proportional relationships from graphs and equations 58. Identify proportional relationships from tables 59. Complete a table and graph a proportional relationship 60. Interpret graphs of proportional relationships 61. Write and solve equations for proportional relationships Percents 62. What percentage is illustrated? 63. Convert between percents, fractions and decimals 64. Compare percents to fractions and decimals 65. Solve percent problems using grid models 66. Solve percent problems using bar models 67. Estimate percents of numbers 68. Percents of numbers and money amounts 69. Compare percents of numbers 70. Find what percent one number is of another 71. Find the total given a part and a percent 72. Solve percent equations 73. Percent of change
Algebra		Expressions and properties 1. Write variable expressions 2. Identify terms and coefficients 3. Properties of addition and multiplication 4. Add and subtract like terms 5. Multiply using the distributive property 6. Factors of linear expressions 7. Sort factors of expressions 8. Write equivalent expressions using properties 9. Simplify linear expressions One-variable equations 10. Which x satisfies an equation? 11. Write an equation from words 12. Model and solve equations using algebra tiles 13. Write and solve equations that represent diagrams 14. Solve equations using properties 15. Solve one-step equations 16. Solve two-step equations 17. Solve equations involving like terms 18. Solve equations with the distributive property Two-variable equations 19. Does (x, y) satisfy the equation? 20. Identify independent and dependent variables 21. Write a two-variable equation 22. Complete a table for a two-variable relationship 23. Complete a table and graph a two-variable equation 24. Identify the graph of an equation 25. Graph a two-variable equation 26. Write an equation from a graph using a table Linear functions 27. Find the gradient from a graph 28. Find the gradient from two points 29. Find a missing coordinate using gradient 30. Find the gradient and y-intercept of a linear equation 31. Graph a line using gradient 32. Graph an equation in y=mx+c form 33. Write an equation in y=mx+c form from a graph 34. Write an equation in y=mx+c form from a gradient and y-intercept
Algebra
Expressions and properties 1. Write variable expressions 2. Identify terms and coefficients 3. Properties of addition and multiplication 4. Add and subtract like terms 5. Multiply using the distributive property 6. Factors of linear expressions 7. Sort factors of expressions 8. Write equivalent expressions using properties 9. Simplify linear expressions One-variable equations 10. Which x satisfies an equation? 11. Write an equation from words 12. Model and solve equations using algebra tiles 13. Write and solve equations that represent diagrams 14. Solve equations using properties 15. Solve one-step equations 16. Solve two-step equations 17. Solve equations involving like terms 18. Solve equations with the distributive property Two-variable equations 19. Does (x, y) satisfy the equation? 20. Identify independent and dependent variables 21. Write a two-variable equation 22. Complete a table for a two-variable relationship 23. Complete a table and graph a two-variable equation 24. Identify the graph of an equation 25. Graph a two-variable equation 26. Write an equation from a graph using a table Linear functions 27. Find the gradient from a graph 28. Find the gradient from two points 29. Find a missing coordinate using gradient 30. Find the gradient and y-intercept of a linear equation 31. Graph a line using gradient 32. Graph an equation in y=mx+c form 33. Write an equation in y=mx+c form from a graph 34. Write an equation in y=mx+c form from a gradient and y-intercept
Shape, Space and Measures		Two-dimensional figures 1. Identify and classify polygons 2. Name, measure and classify angles 3. Classify triangles 4. Triangle inequality 5. Classify quadrilaterals 6. Interior angles of polygons 7. Lines, line segments and rays 8. Parallel, perpendicular and intersecting lines 9. Identify complementary, supplementary, vertical, adjacent and congruent angles 10. Identify alternate interior and alternate exterior angles 11. Parts of a circle Three-dimensional figures 12. Bases of three-dimensional figures 13. Nets of three-dimensional figures 14. Front, side and top view 15. Base plans Units of measurement 16. Estimate metric measurements 17. Compare and convert metric units 18. Metric mixed units 19. Convert between square metres and hectares 20. Convert square and cubic units of length 21. Convert between cubic metres and litres 22. Precision 23. Estimate imperial measurements 24. Convert and compare imperial units 25. Imperial mixed units 26. Convert between metric and imperial units Geometric measurement 27. Area of triangles 28. Area of parallelograms 29. Area of trapeziums 30. Area of rhombuses 31. Area of triangles and quadrilaterals 32. Circumference of circles 33. Area of circles 34. Volume of cubes and cuboids 35. Volume of triangular pyramids 36. Volume of cylinders 37. Surface area Coordinate plane 38. Coordinate plane review 39. Quadrants and axes 40. Follow directions on a coordinate plane 41. Distance between two points Transformations 42. Symmetry 43. Identify reflections, rotations and translations 44. Translations: graph the image 45. Translations: find the coordinates 46. Translations: write the rule 47. Reflections: graph the image 48. Reflections: find the coordinates 49. Rotations: graph the image 50. Rotations: find the coordinates 51. Reflections and rotations: write the rule 52. Dilations: graph the image 53. Dilations: find the coordinates 54. Dilations: scale factor and classification Congruence and similarity 55. Identify congruent figures 56. Congruence statements and corresponding parts 57. Side lengths and angle measures of congruent figures 58. Identify similar figures 59. Ratios in similar figures 60. Similarity statements 61. Side lengths and angle measures of similar figures Pythagoras' theorem 62. Pythagoras' theorem: find the length of the hypotenuse 63. Pythagoras' theorem: find the missing leg length 64. Pythagoras' theorem: find the missing leg or hypotenuse length 65. Converse of Pythagoras' theorem: is it a right triangle?
Shape, Space and Measures
Two-dimensional figures 1. Identify and classify polygons 2. Name, measure and classify angles 3. Classify triangles 4. Triangle inequality 5. Classify quadrilaterals 6. Interior angles of polygons 7. Lines, line segments and rays 8. Parallel, perpendicular and intersecting lines 9. Identify complementary, supplementary, vertical, adjacent and congruent angles 10. Identify alternate interior and alternate exterior angles 11. Parts of a circle Three-dimensional figures 12. Bases of three-dimensional figures 13. Nets of three-dimensional figures 14. Front, side and top view 15. Base plans Units of measurement 16. Estimate metric measurements 17. Compare and convert metric units 18. Metric mixed units 19. Convert between square metres and hectares 20. Convert square and cubic units of length 21. Convert between cubic metres and litres 22. Precision 23. Estimate imperial measurements 24. Convert and compare imperial units 25. Imperial mixed units 26. Convert between metric and imperial units Geometric measurement 27. Area of triangles 28. Area of parallelograms 29. Area of trapeziums 30. Area of rhombuses 31. Area of triangles and quadrilaterals 32. Circumference of circles 33. Area of circles 34. Volume of cubes and cuboids 35. Volume of triangular pyramids 36. Volume of cylinders 37. Surface area Coordinate plane 38. Coordinate plane review 39. Quadrants and axes 40. Follow directions on a coordinate plane 41. Distance between two points Transformations 42. Symmetry 43. Identify reflections, rotations and translations 44. Translations: graph the image 45. Translations: find the coordinates 46. Translations: write the rule 47. Reflections: graph the image 48. Reflections: find the coordinates 49. Rotations: graph the image 50. Rotations: find the coordinates 51. Reflections and rotations: write the rule 52. Dilations: graph the image 53. Dilations: find the coordinates 54. Dilations: scale factor and classification Congruence and similarity 55. Identify congruent figures 56. Congruence statements and corresponding parts 57. Side lengths and angle measures of congruent figures 58. Identify similar figures 59. Ratios in similar figures 60. Similarity statements 61. Side lengths and angle measures of similar figures Pythagoras' theorem 62. Pythagoras' theorem: find the length of the hypotenuse 63. Pythagoras' theorem: find the missing leg length 64. Pythagoras' theorem: find the missing leg or hypotenuse length 65. Converse of Pythagoras' theorem: is it a right triangle?
Handling Data		Data and graphs 1. Interpret tables 2. Interpret line plots 3. Create line plots 4. Interpret bar graphs for categorical data 5. Create bar graphs for categorical data 6. Interpret bar graphs for grouped data 7. Create bar graphs for grouped data 8. Create frequency tables 9. Interpret pie charts 10. Pie charts and central angles 11. Choose the best type of graph Statistics 12. Calculate mean, median, mode and range 13. Identify an outlier 14. Populations and samples 15. Identify representative, random and biased samples 16. Create scatter plots 17. Identify trends with scatter plots 18. Make predictions with scatter plots 19. Outliers in scatter plots
Handling Data
Data and graphs 1. Interpret tables 2. Interpret line plots 3. Create line plots 4. Interpret bar graphs for categorical data 5. Create bar graphs for categorical data 6. Interpret bar graphs for grouped data 7. Create bar graphs for grouped data 8. Create frequency tables 9. Interpret pie charts 10. Pie charts and central angles 11. Choose the best type of graph Statistics 12. Calculate mean, median, mode and range 13. Identify an outlier 14. Populations and samples 15. Identify representative, random and biased samples 16. Create scatter plots 17. Identify trends with scatter plots 18. Make predictions with scatter plots 19. Outliers in scatter plots

Develop knowledge and understanding of personal finance issues; and skills to enable competent and responsible financial decision making		Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest
Develop knowledge and understanding of personal finance issues; and skills to enable competent and responsible financial decision making
Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest

Develop the application of mathematical skills to real life and work situations		Number theory 1. HCF and LCM: word problems Decimals 2. Add and subtract decimals: word problems 3. Multiply decimals and whole numbers: word problems 4. Divide decimals by whole numbers: word problems 5. Add, subtract, multiply and divide decimals: word problems 6. Maps with decimal distances Fractions 7. Compare fractions: word problems 8. Add and subtract fractions: word problems 9. Add and subtract mixed numbers: word problems 10. Multiply fractions and whole numbers: word problems 11. Fractions of a number: word problems 12. Multiply fractions: word problems 13. Divide fractions: word problems 14. Add, subtract, multiply and divide fractions and mixed numbers: word problems Integers 15. Add and subtract integers: word problems Rational numbers 16. Compare and order rational numbers: word problems 17. Multi-step word problems 18. Multi-step word problems: identify reasonable answers Ratios, rates and proportions 19. Equivalent ratios: word problems 20. Compare ratios: word problems 21. Use bar diagrams to solve ratio word problems 22. Compare rates: word problems 23. Ratios and rates: word problems 24. Do the ratios form a proportion: word problems 25. Solve proportions: word problems Direct proportions 26. Interpret graphs of proportional relationships 27. Write and solve equations for proportional relationships Percents 28. Convert between percents, fractions and decimals: word problems 29. Percents of numbers: word problems 30. Find what percent one number is of another: word problems 31. Solve percent equations: word problems 32. Percent of change: word problems 33. Percent of change: find the original amount word problems Units of measurement 34. Multi-step problems with metric unit conversions Sequences 35. Number sequences: word problems Expressions and one-variable equations 36. Write variable expressions: word problems 37. Solve one- and two-step equations: word problems Two-variable equations 38. Solve word problems involving two-variable equations 39. Interpret a graph: word problems Geometric measurement 40. Area and perimeter of squares and rectangles: word problems 41. Circles: word problems 42. Scale drawings: word problems 43. Scale drawings: scale factor word problems 44. Pythagoras' theorem: word problems
Develop the application of mathematical skills to real life and work situations
Number theory 1. HCF and LCM: word problems Decimals 2. Add and subtract decimals: word problems 3. Multiply decimals and whole numbers: word problems 4. Divide decimals by whole numbers: word problems 5. Add, subtract, multiply and divide decimals: word problems 6. Maps with decimal distances Fractions 7. Compare fractions: word problems 8. Add and subtract fractions: word problems 9. Add and subtract mixed numbers: word problems 10. Multiply fractions and whole numbers: word problems 11. Fractions of a number: word problems 12. Multiply fractions: word problems 13. Divide fractions: word problems 14. Add, subtract, multiply and divide fractions and mixed numbers: word problems Integers 15. Add and subtract integers: word problems Rational numbers 16. Compare and order rational numbers: word problems 17. Multi-step word problems 18. Multi-step word problems: identify reasonable answers Ratios, rates and proportions 19. Equivalent ratios: word problems 20. Compare ratios: word problems 21. Use bar diagrams to solve ratio word problems 22. Compare rates: word problems 23. Ratios and rates: word problems 24. Do the ratios form a proportion: word problems 25. Solve proportions: word problems Direct proportions 26. Interpret graphs of proportional relationships 27. Write and solve equations for proportional relationships Percents 28. Convert between percents, fractions and decimals: word problems 29. Percents of numbers: word problems 30. Find what percent one number is of another: word problems 31. Solve percent equations: word problems 32. Percent of change: word problems 33. Percent of change: find the original amount word problems Units of measurement 34. Multi-step problems with metric unit conversions Sequences 35. Number sequences: word problems Expressions and one-variable equations 36. Write variable expressions: word problems 37. Solve one- and two-step equations: word problems Two-variable equations 38. Solve word problems involving two-variable equations 39. Interpret a graph: word problems Geometric measurement 40. Area and perimeter of squares and rectangles: word problems 41. Circles: word problems 42. Scale drawings: word problems 43. Scale drawings: scale factor word problems 44. Pythagoras' theorem: word problems

Develop the creative use of technology to enhance mathematical understanding
Develop the creative use of technology to enhance mathematical understanding


By demonstrating: creative thinking in their approach to solving mathematical problems, increasing competence in mental mathematics skills, increasing competence in pencil and paper methods, increasing confidence in the use of mathematical language and notation, and practical skills using technology		Operations with decimals 1. Add and subtract decimals 2. Complete the decimal addition or subtraction sentence 3. Multiply and divide decimals by powers of ten 4. Multi-step inequalities with decimals 5. Maps with decimal distances 6. Evaluate numerical expressions involving decimals Add and subtract fractions 7. Add and subtract fractions 8. Add and subtract mixed numbers 9. Inequalities with addition and subtraction of fractions and mixed numbers Multiply fractions 10. Multiply fractions by whole numbers I 11. Multiply fractions by whole numbers II 12. Multiply fractions 13. Complete the fraction multiplication sentence 14. Multiply three or more fractions and whole numbers 15. Multiply mixed numbers and whole numbers 16. Multiply mixed numbers Divide fractions 17. Divide unit fractions by whole numbers 18. Divide whole numbers by unit fractions 19. Divide whole numbers and unit fractions 20. Divide fractions by whole numbers 21. Divide whole numbers by fractions 22. Divide fractions 23. Divide fractions and mixed numbers Operations with integers 24. Add and subtract integers 25. Complete addition and subtraction sentences with integers 26. Add and subtract three or more integers 27. Multiply and divide integers 28. Complete multiplication and division sentences with integers 29. Evaluate numerical expressions involving integers Operations with rational numbers 30. Add and subtract positive and negative decimals 31. Add and subtract positive and negative fractions 32. Add and subtract rational numbers 33. Apply addition and subtraction rules 34. Multiply and divide positive and negative decimals 35. Multiply and divide positive and negative fractions 36. Multiply and divide rational numbers 37. Apply multiplication and division rules 38. Add, subtract, multiply and divide rational numbers 39. Evaluate numerical expressions involving rational numbers Ratios, rates and proportions 40. Unit rates 41. Equivalent rates 42. Solve proportions 43. Rate of change 44. Constant rate of change Problem solving and estimation 45. Estimate to solve word problems 46. Multi-step word problems 47. Multi-step word problems: identify reasonable answers 48. Guess-and-check word problems 49. Use Venn diagrams to solve problems Expressions and properties 50. Evaluate linear expressions 51. Evaluate multi-variable expressions 52. Evaluate nonlinear expressions 53. Multiply using the distributive property 54. Factors of linear expressions 55. Simplify linear expressions One-variable equations 56. Write and solve equations that represent diagrams 57. Solve one- and two-step equations: word problems Angles and two-dimensional figures 58. Find missing angles in triangles and quadrilaterals 59. Exterior Angle Theorem 60. Interior angles of polygons 61. Find measures of complementary, supplementary, vertical and adjacent angles 62. Find lengths and measures of bisected line segments and angles Geometric measurement 63. Area of compound figures with triangles 64. Semicircles: calculate area, perimeter, radius and diameter 65. Quarter circles: calculate area, perimeter and radius 66. Area of compound figures with triangles, semicircles and quarter circles 67. Area between two shapes 68. Volume of compound figures Similar figures 69. Similar figures and indirect measurement Pythagoras' theorem 70. Pythagoras' theorem: find the perimeter 71. Pythagoras' theorem: word problems Statistics 72. Mean, median, mode and range: find the missing number 73. Changes in mean, median, mode and range 74. Identify an outlier and describe the effect of removing it
By demonstrating: creative thinking in their approach to solving mathematical problems, increasing competence in mental mathematics skills, increasing competence in pencil and paper methods, increasing confidence in the use of mathematical language and notation, and practical skills using technology
Operations with decimals 1. Add and subtract decimals 2. Complete the decimal addition or subtraction sentence 3. Multiply and divide decimals by powers of ten 4. Multi-step inequalities with decimals 5. Maps with decimal distances 6. Evaluate numerical expressions involving decimals Add and subtract fractions 7. Add and subtract fractions 8. Add and subtract mixed numbers 9. Inequalities with addition and subtraction of fractions and mixed numbers Multiply fractions 10. Multiply fractions by whole numbers I 11. Multiply fractions by whole numbers II 12. Multiply fractions 13. Complete the fraction multiplication sentence 14. Multiply three or more fractions and whole numbers 15. Multiply mixed numbers and whole numbers 16. Multiply mixed numbers Divide fractions 17. Divide unit fractions by whole numbers 18. Divide whole numbers by unit fractions 19. Divide whole numbers and unit fractions 20. Divide fractions by whole numbers 21. Divide whole numbers by fractions 22. Divide fractions 23. Divide fractions and mixed numbers Operations with integers 24. Add and subtract integers 25. Complete addition and subtraction sentences with integers 26. Add and subtract three or more integers 27. Multiply and divide integers 28. Complete multiplication and division sentences with integers 29. Evaluate numerical expressions involving integers Operations with rational numbers 30. Add and subtract positive and negative decimals 31. Add and subtract positive and negative fractions 32. Add and subtract rational numbers 33. Apply addition and subtraction rules 34. Multiply and divide positive and negative decimals 35. Multiply and divide positive and negative fractions 36. Multiply and divide rational numbers 37. Apply multiplication and division rules 38. Add, subtract, multiply and divide rational numbers 39. Evaluate numerical expressions involving rational numbers Ratios, rates and proportions 40. Unit rates 41. Equivalent rates 42. Solve proportions 43. Rate of change 44. Constant rate of change Problem solving and estimation 45. Estimate to solve word problems 46. Multi-step word problems 47. Multi-step word problems: identify reasonable answers 48. Guess-and-check word problems 49. Use Venn diagrams to solve problems Expressions and properties 50. Evaluate linear expressions 51. Evaluate multi-variable expressions 52. Evaluate nonlinear expressions 53. Multiply using the distributive property 54. Factors of linear expressions 55. Simplify linear expressions One-variable equations 56. Write and solve equations that represent diagrams 57. Solve one- and two-step equations: word problems Angles and two-dimensional figures 58. Find missing angles in triangles and quadrilaterals 59. Exterior Angle Theorem 60. Interior angles of polygons 61. Find measures of complementary, supplementary, vertical and adjacent angles 62. Find lengths and measures of bisected line segments and angles Geometric measurement 63. Area of compound figures with triangles 64. Semicircles: calculate area, perimeter, radius and diameter 65. Quarter circles: calculate area, perimeter and radius 66. Area of compound figures with triangles, semicircles and quarter circles 67. Area between two shapes 68. Volume of compound figures Similar figures 69. Similar figures and indirect measurement Pythagoras' theorem 70. Pythagoras' theorem: find the perimeter 71. Pythagoras' theorem: word problems Statistics 72. Mean, median, mode and range: find the missing number 73. Changes in mean, median, mode and range 74. Identify an outlier and describe the effect of removing it

Developing pupils as Individuals
Investigate a personal and class lifestyle study of time, for example, time spent in school, doing homework, watching TV or taking exercise.
Investigate a personal and class lifestyle study of time, for example, time spent in school, doing homework, watching TV or taking exercise.


Work collaboratively in problem solving, taking account of others' viewpoints to reach consensus.
Work collaboratively in problem solving, taking account of others' viewpoints to reach consensus.


Demonstrate an ability and willingness to develop logical arguments, for example, justify how they arrived at a conclusion or solution to a problem.		Rational numbers 1. Divisibility rules 2. Scaling whole numbers by fractions: justify your answer 3. Compare and order rational numbers: word problems 4. Rational numbers: find the sign Ratios, rates and proportions 5. Compare ratios: word problems 6. Compare rates: word problems 7. Ratios and rates: word problems Direct proportions 8. Interpret graphs of proportional relationships 9. Write and solve equations for proportional relationships Problem solving 10. Guess-and-check word problems 11. Use Venn diagrams to solve problems Sequences 12. Identify arithmetic and geometric sequences 13. Arithmetic sequences 14. Geometric sequences 15. Number sequences: mixed review 16. Number sequences: word problems 17. Evaluate variable expressions for arithmetic sequences 18. Evaluate variable expressions for geometric sequences 19. Write variable expressions for arithmetic sequences Expressions 20. Identify equivalent expressions using bar models 21. Multiply using the distributive property: area models 22. Factorise linear expressions: area models 23. Write equivalent expressions using properties 24. Identify equivalent linear expressions 25. Identify equivalent linear expressions: word problems One-variable equations 26. Model and solve equations using algebra tiles 27. Write and solve equations that represent diagrams 28. Solve equations: complete the solution 29. Solve one- and two-step equations: word problems 30. Solve multi-step equations: complete the solution Angles and two-dimensional figures 31. Find missing angles in triangles and quadrilaterals 32. Exterior Angle Theorem 33. Interior angles of polygons 34. Find measures of complementary, supplementary, vertical and adjacent angles 35. Find lengths and measures of bisected line segments and angles Congruence and similarity 36. Side lengths and angle measures of congruent figures 37. Side lengths and angle measures of similar figures 38. Similar figures and indirect measurement Pythagoras' theorem 39. Pythagoras' theorem: word problems 40. Converse of Pythagoras' theorem: is it a right triangle? Probability 41. Probability of simple events 42. Probability of simple events and opposite events 43. Probability of mutually exclusive events and overlapping events 44. Experimental probability 45. Make predictions using theoretical probability 46. Make predictions using experimental probability 47. Compound events: find the number of outcomes 48. Probability of compound events 49. Find the number of outcomes: word problems
Demonstrate an ability and willingness to develop logical arguments, for example, justify how they arrived at a conclusion or solution to a problem.
Rational numbers 1. Divisibility rules 2. Scaling whole numbers by fractions: justify your answer 3. Compare and order rational numbers: word problems 4. Rational numbers: find the sign Ratios, rates and proportions 5. Compare ratios: word problems 6. Compare rates: word problems 7. Ratios and rates: word problems Direct proportions 8. Interpret graphs of proportional relationships 9. Write and solve equations for proportional relationships Problem solving 10. Guess-and-check word problems 11. Use Venn diagrams to solve problems Sequences 12. Identify arithmetic and geometric sequences 13. Arithmetic sequences 14. Geometric sequences 15. Number sequences: mixed review 16. Number sequences: word problems 17. Evaluate variable expressions for arithmetic sequences 18. Evaluate variable expressions for geometric sequences 19. Write variable expressions for arithmetic sequences Expressions 20. Identify equivalent expressions using bar models 21. Multiply using the distributive property: area models 22. Factorise linear expressions: area models 23. Write equivalent expressions using properties 24. Identify equivalent linear expressions 25. Identify equivalent linear expressions: word problems One-variable equations 26. Model and solve equations using algebra tiles 27. Write and solve equations that represent diagrams 28. Solve equations: complete the solution 29. Solve one- and two-step equations: word problems 30. Solve multi-step equations: complete the solution Angles and two-dimensional figures 31. Find missing angles in triangles and quadrilaterals 32. Exterior Angle Theorem 33. Interior angles of polygons 34. Find measures of complementary, supplementary, vertical and adjacent angles 35. Find lengths and measures of bisected line segments and angles Congruence and similarity 36. Side lengths and angle measures of congruent figures 37. Side lengths and angle measures of similar figures 38. Similar figures and indirect measurement Pythagoras' theorem 39. Pythagoras' theorem: word problems 40. Converse of Pythagoras' theorem: is it a right triangle? Probability 41. Probability of simple events 42. Probability of simple events and opposite events 43. Probability of mutually exclusive events and overlapping events 44. Experimental probability 45. Make predictions using theoretical probability 46. Make predictions using experimental probability 47. Compound events: find the number of outcomes 48. Probability of compound events 49. Find the number of outcomes: word problems

Explore issues related to Personal Health: Investigate aspects of health and healthy living, for example, body temperature, heart rate, breathing rate, nutritional requirements, food choices, special diets, road safety, substance misuse, life expectancy. Investigate incidence of diseases and recovery rates, for example, heart disease, cancers, chicken-pox, influenza, etc.
Explore issues related to Personal Health: Investigate aspects of health and healthy living, for example, body temperature, heart rate, breathing rate, nutritional requirements, food choices, special diets, road safety, substance misuse, life expectancy. Investigate incidence of diseases and recovery rates, for example, heart disease, cancers, chicken-pox, influenza, etc.


Explore issues related to Spiritual Awareness: Be aware of the infinite nature of number and space and the prevalence of pattern, for example, the Fibonacci series in the natural world, harmonics in music, 'golden ratio', Islamic tiles, etc.
Explore issues related to Spiritual Awareness: Be aware of the infinite nature of number and space and the prevalence of pattern, for example, the Fibonacci series in the natural world, harmonics in music, 'golden ratio', Islamic tiles, etc.

Developing pupils as Contributors to Society
Analyse and interpret information patterns relating to local and global trends, for example, population profile (including age, gender, religion and ethnicity), indices of development, voting patterns, crime rates, etc.		Tables 1. Interpret tables Bar graphs 2. Interpret bar graphs for categorical data 3. Interpret bar graphs for grouped data Line plots 4. Interpret line plots Pie charts 5. Interpret pie charts 6. Pie charts and central angles Scatter plots 7. Identify trends with scatter plots 8. Make predictions with scatter plots
Analyse and interpret information patterns relating to local and global trends, for example, population profile (including age, gender, religion and ethnicity), indices of development, voting patterns, crime rates, etc.
Tables 1. Interpret tables Bar graphs 2. Interpret bar graphs for categorical data 3. Interpret bar graphs for grouped data Line plots 4. Interpret line plots Pie charts 5. Interpret pie charts 6. Pie charts and central angles Scatter plots 7. Identify trends with scatter plots 8. Make predictions with scatter plots

Critically examine the use and misuse of mathematics to justify/support particular attitudes/opinions in different media, and the interpretation of data, for example, investigate the use of numbers in marketing strategies, advertising and opinion polls.		1. Choose the best type of graph
Critically examine the use and misuse of mathematics to justify/support particular attitudes/opinions in different media, and the interpretation of data, for example, investigate the use of numbers in marketing strategies, advertising and opinion polls.
1. Choose the best type of graph

Explore issues related to Cultural Understanding: Explore how mathematics have been used and developed in other parts of the world, for example, Egyptian fractions, Russian multiplication, Roman numerals; how European digits derived from Arabian numbers. Explore elements of geometry using patterns from different cultures, for example, Amish quilt designs and Islamic patterns. Apply mathematical problem solving skills to contexts faced by developing countries, including mathematical games from these cultures.
Explore issues related to Cultural Understanding: Explore how mathematics have been used and developed in other parts of the world, for example, Egyptian fractions, Russian multiplication, Roman numerals; how European digits derived from Arabian numbers. Explore elements of geometry using patterns from different cultures, for example, Amish quilt designs and Islamic patterns. Apply mathematical problem solving skills to contexts faced by developing countries, including mathematical games from these cultures.


Explore issues related to Ethical Awareness: Research and interpret statistics in relation to social and economic issues, for example, compare and contrast aid versus arms expenditure or aid versus debt repayments, hospital waiting lists, child labour, etc.		Measures of center and spread 1. Calculate mean, median, mode and range 2. Interpret charts to find mean, median, mode and range 3. Mean, median, mode and range: find the missing number 4. Describe distributions in line plots Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it Statistical samples 7. Populations and samples 8. Identify representative, random and biased samples Scatter plots 9. Identify trends with scatter plots 10. Make predictions with scatter plots 11. Outliers in scatter plots
Explore issues related to Ethical Awareness: Research and interpret statistics in relation to social and economic issues, for example, compare and contrast aid versus arms expenditure or aid versus debt repayments, hospital waiting lists, child labour, etc.
Measures of center and spread 1. Calculate mean, median, mode and range 2. Interpret charts to find mean, median, mode and range 3. Mean, median, mode and range: find the missing number 4. Describe distributions in line plots Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it Statistical samples 7. Populations and samples 8. Identify representative, random and biased samples Scatter plots 9. Identify trends with scatter plots 10. Make predictions with scatter plots 11. Outliers in scatter plots

Developing pupils as Contributors to the Economy and the Environment
Examine the role of mathematics as a "key" to entry for future education, training and employment. Explore how the skills developed through mathematics will be useful to a range of careers, for example, jobs involving computation, checkout operation, data analysis, education, financial services, quantitative problem solving, research, surveying, construction, etc.		Consumer maths 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips 10. Simple interest 11. Compound interest Geometric measurement 12. Area and perimeter of squares and rectangles: word problems 13. Circles: word problems 14. Scale drawings: word problems 15. Scale drawings: scale factor word problems Pythagoras' theorem 16. Pythagoras' theorem: word problems
Examine the role of mathematics as a "key" to entry for future education, training and employment. Explore how the skills developed through mathematics will be useful to a range of careers, for example, jobs involving computation, checkout operation, data analysis, education, financial services, quantitative problem solving, research, surveying, construction, etc.
Consumer maths 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips 10. Simple interest 11. Compound interest Geometric measurement 12. Area and perimeter of squares and rectangles: word problems 13. Circles: word problems 14. Scale drawings: word problems 15. Scale drawings: scale factor word problems Pythagoras' theorem 16. Pythagoras' theorem: word problems

Apply mathematical skills in everyday financial planning and decision making, for example, cash and non-cash methods of payment for goods and services, to include relevant examples such as mobile phone tariffs and e-shopping; the role of banks, building societies, credit unions and the post office; sources of income; savings; dealing with debt and credit; exchange rates.		Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest
Apply mathematical skills in everyday financial planning and decision making, for example, cash and non-cash methods of payment for goods and services, to include relevant examples such as mobile phone tariffs and e-shopping; the role of banks, building societies, credit unions and the post office; sources of income; savings; dealing with debt and credit; exchange rates.
Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest

Explore issues related to Education for Sustainable Development: Understand the need to manage renewable and nonrenewable resources, for example, investigate the savings and benefits of energy conservation measures etc. Investigate the various costs and benefits of waste management, for example, by analysing the cost/benefit of recycling glass, paper, garden waste and other waste.
Explore issues related to Education for Sustainable Development: Understand the need to manage renewable and nonrenewable resources, for example, investigate the savings and benefits of energy conservation measures etc. Investigate the various costs and benefits of waste management, for example, by analysing the cost/benefit of recycling glass, paper, garden waste and other waste.

Learning Outcomes
Demonstrate mental mathematical capability with simple problems;		Whole numbers 1. Multiplicative inverses 2. Divisibility rules 3. Estimate to solve word problems Decimals 4. Round decimals 5. Multiply and divide decimals by powers of ten 6. Estimate sums, differences and products of decimals Fractions 7. Estimate sums and differences of mixed numbers 8. Estimate products of fractions and whole numbers 9. Scaling whole numbers by fractions 10. Estimate products and quotients of fractions and mixed numbers Integers 11. Integer addition and subtraction rules 12. Integer multiplication and division rules Rational numbers 13. Apply addition and subtraction rules 14. Apply multiplication and division rules Percents 15. Estimate percents of numbers
Demonstrate mental mathematical capability with simple problems;
Whole numbers 1. Multiplicative inverses 2. Divisibility rules 3. Estimate to solve word problems Decimals 4. Round decimals 5. Multiply and divide decimals by powers of ten 6. Estimate sums, differences and products of decimals Fractions 7. Estimate sums and differences of mixed numbers 8. Estimate products of fractions and whole numbers 9. Scaling whole numbers by fractions 10. Estimate products and quotients of fractions and mixed numbers Integers 11. Integer addition and subtraction rules 12. Integer multiplication and division rules Rational numbers 13. Apply addition and subtraction rules 14. Apply multiplication and division rules Percents 15. Estimate percents of numbers

Decide on the appropriate method and equipment to solve problems—mental, written, calculator, mathematical instruments or a combination of these.		Operations with decimals 1. Add and subtract decimals 2. Complete the decimal addition or subtraction sentence 3. Multiply decimals 4. Divide decimals Add and subtract fractions 5. Add and subtract fractions 6. Add and subtract mixed numbers Multiply fractions 7. Multiply fractions by whole numbers using number lines 8. Multiply fractions by whole numbers: choose the model 9. Multiply fractions by whole numbers using models: complete the equation 10. Multiply fractions by whole numbers I 11. Multiply fractions by whole numbers II 12. Multiply two fractions using models 13. Multiply fractions 14. Complete the fraction multiplication sentence 15. Multiply three or more fractions and whole numbers 16. Multiply mixed numbers and whole numbers 17. Multiply mixed numbers Divide fractions 18. Divide unit fractions by whole numbers 19. Divide whole numbers by unit fractions 20. Divide unit fractions and whole numbers using area models 21. Divide whole numbers and unit fractions 22. Divide fractions by whole numbers 23. Divide whole numbers by fractions 24. Divide fractions 25. Divide fractions and mixed numbers Operations with integers 26. Add and subtract integers using number lines 27. Add and subtract integers using counters 28. Add and subtract integers 29. Complete addition and subtraction sentences with integers 30. Add and subtract three or more integers 31. Understand multiplying by a negative integer using a number line 32. Multiply and divide integers 33. Complete multiplication and division sentences with integers Operations with rational numbers 34. Add and subtract positive and negative decimals 35. Add and subtract positive and negative fractions 36. Add and subtract rational numbers 37. Multiply and divide positive and negative decimals 38. Multiply and divide positive and negative fractions 39. Multiply and divide rational numbers 40. Add, subtract, multiply and divide rational numbers Numerical expressions 41. Evaluate numerical expressions involving decimals 42. Evaluate numerical expressions involving fractions 43. Evaluate numerical expressions involving integers 44. Evaluate numerical expressions involving rational numbers Indices and square roots 45. Evaluate indices 46. Solve equations with variable indices 47. Indices with negative bases 48. Indices with decimal and fractional bases 49. Evaluate numerical expressions involving indices 50. Square roots of perfect squares 51. Cube roots of perfect cubes Ratios, rates and proportions 52. Use bar diagrams to solve ratio word problems 53. Compare rates: word problems 54. Ratios and rates: word problems 55. Solve proportions 56. Solve proportions: word problems Percents 57. Solve percent problems using grid models 58. Solve percent problems using bar models 59. Solve percent equations 60. Solve percent equations: word problems One-variable equations 61. Write an equation from words 62. Model and solve equations using algebra tiles 63. Write and solve equations that represent diagrams 64. Solve equations using properties 65. Solve one-step equations 66. Solve two-step equations 67. Solve equations involving like terms 68. Solve equations with the distributive property
Decide on the appropriate method and equipment to solve problems—mental, written, calculator, mathematical instruments or a combination of these.
Operations with decimals 1. Add and subtract decimals 2. Complete the decimal addition or subtraction sentence 3. Multiply decimals 4. Divide decimals Add and subtract fractions 5. Add and subtract fractions 6. Add and subtract mixed numbers Multiply fractions 7. Multiply fractions by whole numbers using number lines 8. Multiply fractions by whole numbers: choose the model 9. Multiply fractions by whole numbers using models: complete the equation 10. Multiply fractions by whole numbers I 11. Multiply fractions by whole numbers II 12. Multiply two fractions using models 13. Multiply fractions 14. Complete the fraction multiplication sentence 15. Multiply three or more fractions and whole numbers 16. Multiply mixed numbers and whole numbers 17. Multiply mixed numbers Divide fractions 18. Divide unit fractions by whole numbers 19. Divide whole numbers by unit fractions 20. Divide unit fractions and whole numbers using area models 21. Divide whole numbers and unit fractions 22. Divide fractions by whole numbers 23. Divide whole numbers by fractions 24. Divide fractions 25. Divide fractions and mixed numbers Operations with integers 26. Add and subtract integers using number lines 27. Add and subtract integers using counters 28. Add and subtract integers 29. Complete addition and subtraction sentences with integers 30. Add and subtract three or more integers 31. Understand multiplying by a negative integer using a number line 32. Multiply and divide integers 33. Complete multiplication and division sentences with integers Operations with rational numbers 34. Add and subtract positive and negative decimals 35. Add and subtract positive and negative fractions 36. Add and subtract rational numbers 37. Multiply and divide positive and negative decimals 38. Multiply and divide positive and negative fractions 39. Multiply and divide rational numbers 40. Add, subtract, multiply and divide rational numbers Numerical expressions 41. Evaluate numerical expressions involving decimals 42. Evaluate numerical expressions involving fractions 43. Evaluate numerical expressions involving integers 44. Evaluate numerical expressions involving rational numbers Indices and square roots 45. Evaluate indices 46. Solve equations with variable indices 47. Indices with negative bases 48. Indices with decimal and fractional bases 49. Evaluate numerical expressions involving indices 50. Square roots of perfect squares 51. Cube roots of perfect cubes Ratios, rates and proportions 52. Use bar diagrams to solve ratio word problems 53. Compare rates: word problems 54. Ratios and rates: word problems 55. Solve proportions 56. Solve proportions: word problems Percents 57. Solve percent problems using grid models 58. Solve percent problems using bar models 59. Solve percent equations 60. Solve percent equations: word problems One-variable equations 61. Write an equation from words 62. Model and solve equations using algebra tiles 63. Write and solve equations that represent diagrams 64. Solve equations using properties 65. Solve one-step equations 66. Solve two-step equations 67. Solve equations involving like terms 68. Solve equations with the distributive property

Demonstrate financial capability in a range of relevant everyday contexts.		Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest
Demonstrate financial capability in a range of relevant everyday contexts.
Money 1. Add, subtract, multiply and divide money amounts: word problems 2. Price lists 3. Unit prices 4. Unit prices: find the total price Percents 5. Percent of a number: VAT, discount and more 6. Find the percent: discount and mark-up 7. Sale prices: find the original price 8. Multi-step problems with percents 9. Estimate tips Interest 10. Simple interest 11. Compound interest

Research and manage information effectively to investigate and solve mathematical problems, including using ICT where appropriate.		Tables 1. Interpret tables Line plots 2. Interpret line plots 3. Create line plots 4. Describe distributions in line plots Bar graphs 5. Interpret bar graphs for categorical data 6. Create bar graphs for categorical data 7. Interpret bar graphs for grouped data 8. Create bar graphs for grouped data Frequency charts 9. Create frequency tables Pie charts 10. Interpret pie charts 11. Pie charts and central angles Measures of center and spread 12. Calculate mean, median, mode and range 13. Interpret charts to find mean, median, mode and range 14. Mean, median, mode and range: find the missing number 15. Changes in mean, median, mode and range Outliers 16. Identify an outlier 17. Identify an outlier and describe the effect of removing it Scatter plots 18. Create scatter plots 19. Identify trends with scatter plots 20. Make predictions with scatter plots 21. Outliers in scatter plots
Research and manage information effectively to investigate and solve mathematical problems, including using ICT where appropriate.
Tables 1. Interpret tables Line plots 2. Interpret line plots 3. Create line plots 4. Describe distributions in line plots Bar graphs 5. Interpret bar graphs for categorical data 6. Create bar graphs for categorical data 7. Interpret bar graphs for grouped data 8. Create bar graphs for grouped data Frequency charts 9. Create frequency tables Pie charts 10. Interpret pie charts 11. Pie charts and central angles Measures of center and spread 12. Calculate mean, median, mode and range 13. Interpret charts to find mean, median, mode and range 14. Mean, median, mode and range: find the missing number 15. Changes in mean, median, mode and range Outliers 16. Identify an outlier 17. Identify an outlier and describe the effect of removing it Scatter plots 18. Create scatter plots 19. Identify trends with scatter plots 20. Make predictions with scatter plots 21. Outliers in scatter plots

Show deeper mathematical understanding by thinking critically and flexibly, solving problems and making informed decisions, demonstrating using ICT where appropriate.		Number theory 1. HCF and LCM: word problems Decimals 2. Add and subtract decimals: word problems 3. Multiply decimals and whole numbers: word problems 4. Divide decimals by whole numbers: word problems 5. Add, subtract, multiply and divide decimals: word problems 6. Maps with decimal distances Fractions 7. Compare fractions: word problems 8. Add and subtract fractions: word problems 9. Add and subtract mixed numbers: word problems 10. Multiply fractions and whole numbers: word problems 11. Fractions of a number: word problems 12. Multiply fractions: word problems 13. Divide fractions: word problems 14. Add, subtract, multiply and divide fractions and mixed numbers: word problems Integers 15. Add and subtract integers: word problems Rational numbers 16. Compare and order rational numbers: word problems Ratios, rates and proportions 17. Equivalent ratios: word problems 18. Compare ratios: word problems 19. Use bar diagrams to solve ratio word problems 20. Compare rates: word problems 21. Ratios and rates: word problems 22. Do the ratios form a proportion: word problems 23. Solve proportions: word problems Direct proportions 24. Interpret graphs of proportional relationships 25. Write and solve equations for proportional relationships Percents 26. Convert between percents, fractions and decimals: word problems 27. Percents of numbers: word problems 28. Find what percent one number is of another: word problems 29. Solve percent equations: word problems 30. Percent of change: word problems 31. Percent of change: find the original amount word problems Multi-step problems and estimation 32. Estimate to solve word problems 33. Multi-step word problems 34. Multi-step word problems: identify reasonable answers 35. Guess-and-check word problems 36. Use Venn diagrams to solve problems Units of measurement 37. Multi-step problems with metric unit conversions Sequences 38. Number sequences: word problems Expressions and one-variable equations 39. Write variable expressions: word problems 40. Solve one- and two-step equations: word problems Two-variable equations 41. Solve word problems involving two-variable equations 42. Interpret a graph: word problems Geometric measurement 43. Area and perimeter of squares and rectangles: word problems 44. Circles: word problems 45. Scale drawings: word problems 46. Scale drawings: scale factor word problems Pythagoras' theorem 47. Pythagoras' theorem: word problems Statistics 48. Interpret charts to find mean, median, mode and range 49. Changes in mean, median, mode and range 50. Populations and samples 51. Identify representative, random and biased samples Probability 52. Make predictions using theoretical probability 53. Make predictions using experimental probability 54. Find the number of outcomes: word problems
Show deeper mathematical understanding by thinking critically and flexibly, solving problems and making informed decisions, demonstrating using ICT where appropriate.
Number theory 1. HCF and LCM: word problems Decimals 2. Add and subtract decimals: word problems 3. Multiply decimals and whole numbers: word problems 4. Divide decimals by whole numbers: word problems 5. Add, subtract, multiply and divide decimals: word problems 6. Maps with decimal distances Fractions 7. Compare fractions: word problems 8. Add and subtract fractions: word problems 9. Add and subtract mixed numbers: word problems 10. Multiply fractions and whole numbers: word problems 11. Fractions of a number: word problems 12. Multiply fractions: word problems 13. Divide fractions: word problems 14. Add, subtract, multiply and divide fractions and mixed numbers: word problems Integers 15. Add and subtract integers: word problems Rational numbers 16. Compare and order rational numbers: word problems Ratios, rates and proportions 17. Equivalent ratios: word problems 18. Compare ratios: word problems 19. Use bar diagrams to solve ratio word problems 20. Compare rates: word problems 21. Ratios and rates: word problems 22. Do the ratios form a proportion: word problems 23. Solve proportions: word problems Direct proportions 24. Interpret graphs of proportional relationships 25. Write and solve equations for proportional relationships Percents 26. Convert between percents, fractions and decimals: word problems 27. Percents of numbers: word problems 28. Find what percent one number is of another: word problems 29. Solve percent equations: word problems 30. Percent of change: word problems 31. Percent of change: find the original amount word problems Multi-step problems and estimation 32. Estimate to solve word problems 33. Multi-step word problems 34. Multi-step word problems: identify reasonable answers 35. Guess-and-check word problems 36. Use Venn diagrams to solve problems Units of measurement 37. Multi-step problems with metric unit conversions Sequences 38. Number sequences: word problems Expressions and one-variable equations 39. Write variable expressions: word problems 40. Solve one- and two-step equations: word problems Two-variable equations 41. Solve word problems involving two-variable equations 42. Interpret a graph: word problems Geometric measurement 43. Area and perimeter of squares and rectangles: word problems 44. Circles: word problems 45. Scale drawings: word problems 46. Scale drawings: scale factor word problems Pythagoras' theorem 47. Pythagoras' theorem: word problems Statistics 48. Interpret charts to find mean, median, mode and range 49. Changes in mean, median, mode and range 50. Populations and samples 51. Identify representative, random and biased samples Probability 52. Make predictions using theoretical probability 53. Make predictions using experimental probability 54. Find the number of outcomes: word problems

Demonstrate creativity and initiative when developing ideas and following them through.
Demonstrate creativity and initiative when developing ideas and following them through.


Work effectively with others.
Work effectively with others.


Demonstrate self-management by working systematically, persisting with tasks, evaluating and improving own performance.
Demonstrate self-management by working systematically, persisting with tasks, evaluating and improving own performance.


Communicate effectively in oral, visual, written, mathematical and ICT formats, showing clear awareness of audience and purpose.		Rational numbers 1. Classify numbers 2. Decimal numbers review 3. Write fractions in lowest terms 4. Understanding integers 5. Identify rational numbers 6. Rational numbers on number lines 7. Rational numbers: find the sign Indices 8. Understanding indices 9. Evaluate indices 10. Solve equations with variable indices Ratios 11. Understanding ratios 12. Write an equivalent ratio Direct proportions 13. Find the constant of proportionality from a table 14. Write equations for proportional relationships from tables 15. Identify proportional relationships by graphing 16. Find the constant of proportionality from a graph 17. Write equations for proportional relationships from graphs 18. Identify proportional relationships from graphs and equations 19. Identify proportional relationships from tables 20. Complete a table and graph a proportional relationship Expressions 21. Write variable expressions for arithmetic sequences 22. Write variable expressions 23. Write variable expressions: word problems 24. Write equivalent expressions using properties One-variable equations 25. Write an equation from words 26. Write and solve equations that represent diagrams Two-variable equations 27. Write a two-variable equation 28. Graph a two-variable equation Linear functions 29. Write an equation from a graph using a table 30. Graph a line using gradient 31. Graph an equation in y=mx+c form 32. Write an equation in y=mx+c form from a graph 33. Write an equation in y=mx+c form from a gradient and y-intercept Data and graphs 34. Create line plots 35. Create bar graphs for categorical data 36. Create bar graphs for grouped data 37. Create frequency tables
Communicate effectively in oral, visual, written, mathematical and ICT formats, showing clear awareness of audience and purpose.
Rational numbers 1. Classify numbers 2. Decimal numbers review 3. Write fractions in lowest terms 4. Understanding integers 5. Identify rational numbers 6. Rational numbers on number lines 7. Rational numbers: find the sign Indices 8. Understanding indices 9. Evaluate indices 10. Solve equations with variable indices Ratios 11. Understanding ratios 12. Write an equivalent ratio Direct proportions 13. Find the constant of proportionality from a table 14. Write equations for proportional relationships from tables 15. Identify proportional relationships by graphing 16. Find the constant of proportionality from a graph 17. Write equations for proportional relationships from graphs 18. Identify proportional relationships from graphs and equations 19. Identify proportional relationships from tables 20. Complete a table and graph a proportional relationship Expressions 21. Write variable expressions for arithmetic sequences 22. Write variable expressions 23. Write variable expressions: word problems 24. Write equivalent expressions using properties One-variable equations 25. Write an equation from words 26. Write and solve equations that represent diagrams Two-variable equations 27. Write a two-variable equation 28. Graph a two-variable equation Linear functions 29. Write an equation from a graph using a table 30. Graph a line using gradient 31. Graph an equation in y=mx+c form 32. Write an equation in y=mx+c form from a graph 33. Write an equation in y=mx+c form from a gradient and y-intercept Data and graphs 34. Create line plots 35. Create bar graphs for categorical data 36. Create bar graphs for grouped data 37. Create frequency tables