IXL Skill Plan | Australian Curriculum, Version 9.0: Year 7

Australian Curriculum, Version 9.0: Year 7

Skills available for Australia year 7 math objectives

Strand

Number
Algebra
Measurement
Space
Statistics
Probability

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Number
AC9M7N01 Describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems		1. Square roots of perfect squares
AC9M7N01 Describe the relationship between perfect square numbers and square roots, and use squares of numbers and square roots of perfect square numbers to solve problems
1. Square roots of perfect squares

AC9M7N02 Represent natural numbers as products of powers of prime numbers using exponent notation		1. Prime or composite 2. Prime factorisation 3. Understanding exponents
AC9M7N02 Represent natural numbers as products of powers of prime numbers using exponent notation
1. Prime or composite 2. Prime factorisation 3. Understanding exponents

AC9M7N03 Represent natural numbers in expanded notation using place value and powers of 10		1. Powers of ten
AC9M7N03 Represent natural numbers in expanded notation using place value and powers of 10
1. Powers of ten

AC9M7N04 Find equivalent representations of rational numbers and represent rational numbers on a number line		Decimals 1. Decimal numbers review 2. Compare and order decimals 3. Decimal number lines Fractions and mixed numbers 4. Graph equivalent fractions on number lines 5. Equivalent fractions 6. Write fractions in lowest terms 7. Compare and order fractions 8. Compare fractions: word problems 9. Convert between mixed numbers and improper fractions 10. Compare mixed numbers and improper fractions Rational numbers 11. Fractions on number lines 12. Convert between decimals and fractions or mixed numbers 13. Compare rational numbers 14. Put rational numbers in order Percents 15. What percentage is illustrated? 16. Convert fractions to percents using grid models 17. Convert between percents, fractions and decimals 18. Convert between percents, fractions and decimals: word problems 19. Compare percents to fractions and decimals
AC9M7N04 Find equivalent representations of rational numbers and represent rational numbers on a number line
Decimals 1. Decimal numbers review 2. Compare and order decimals 3. Decimal number lines Fractions and mixed numbers 4. Graph equivalent fractions on number lines 5. Equivalent fractions 6. Write fractions in lowest terms 7. Compare and order fractions 8. Compare fractions: word problems 9. Convert between mixed numbers and improper fractions 10. Compare mixed numbers and improper fractions Rational numbers 11. Fractions on number lines 12. Convert between decimals and fractions or mixed numbers 13. Compare rational numbers 14. Put rational numbers in order Percents 15. What percentage is illustrated? 16. Convert fractions to percents using grid models 17. Convert between percents, fractions and decimals 18. Convert between percents, fractions and decimals: word problems 19. Compare percents to fractions and decimals

AC9M7N05 Round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions		1. Round decimals 2. Estimate sums and differences of decimals 3. Estimate products of decimals 4. Estimate quotients of decimals 5. Estimate to solve word problems
AC9M7N05 Round decimals to a given accuracy appropriate to the context and use appropriate rounding and estimation to check the reasonableness of solutions
1. Round decimals 2. Estimate sums and differences of decimals 3. Estimate products of decimals 4. Estimate quotients of decimals 5. Estimate to solve word problems

AC9M7N06 Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies		Add and subtract decimals 1. Add and subtract decimals 2. Add and subtract decimals: word problems Multiply and divide decimals 3. Multiply decimals and whole numbers 4. Multiply decimals and whole numbers: word problems 5. Multiply decimals using grids 6. Multiply decimals 7. Divide decimals by whole numbers 8. Divide decimals by whole numbers: word problems 9. Divide decimals 10. Multiply and divide decimals: word problems Mixed decimal operations 11. Add, subtract, multiply and divide decimals: word problems 12. Multi-step inequalities with decimals 13. Evaluate numerical expressions involving decimals Add and subtract fractions 14. Add and subtract fractions with like denominators 15. Add and subtract fractions with like denominators: word problems 16. Add fractions with unlike denominators using models 17. Add fractions with unlike denominators 18. Subtract fractions with unlike denominators using models 19. Subtract fractions with unlike denominators 20. Add and subtract fractions with unlike denominators: word problems Add and subtract mixed numbers 21. Add and subtract mixed numbers 22. Add and subtract mixed numbers: word problems 23. Inequalities with addition and subtraction of fractions and mixed numbers Multiply fractions 24. Multiply unit fractions by whole numbers using number lines 25. Multiply unit fractions by whole numbers using models 26. Multiples of fractions 27. Multiply fractions by whole numbers using arrays 28. Multiply fractions by whole numbers using number lines 29. Multiplying fractions by whole numbers: choose the model 30. Multiply fractions and whole numbers 31. Multiply fractions and whole numbers: word problems 32. Multiply two unit fractions using models 33. Multiply two fractions using models 34. Multiply fractions 35. Multiply fractions: word problems 36. Multiply three or more fractions and whole numbers Divide fractions 37. Divide unit fractions by whole numbers using models 38. Divide whole numbers by unit fractions using models 39. Divide whole numbers and unit fractions using area models 40. Reciprocals 41. Divide whole numbers and unit fractions 42. Divide fractions by whole numbers 43. Divide whole numbers by fractions 44. Divide fractions 45. Divide fractions: word problems Mixed fraction operations 46. Add, subtract, multiply and divide fractions and mixed numbers: word problems 47. Evaluate numerical expressions involving fractions Percents 48. Estimate percents of numbers 49. Solve percent problems using grid models 50. Solve percent problems using strip models 51. Percents of numbers and money amounts 52. Percents of numbers: word problems 53. Find what percent one number is of another 54. Find what percent one number is of another: word problems 55. Solve percent equations 56. Solve percent equations: word problems
AC9M7N06 Use the 4 operations with positive rational numbers including fractions, decimals and percentages to solve problems using efficient calculation strategies
Add and subtract decimals 1. Add and subtract decimals 2. Add and subtract decimals: word problems Multiply and divide decimals 3. Multiply decimals and whole numbers 4. Multiply decimals and whole numbers: word problems 5. Multiply decimals using grids 6. Multiply decimals 7. Divide decimals by whole numbers 8. Divide decimals by whole numbers: word problems 9. Divide decimals 10. Multiply and divide decimals: word problems Mixed decimal operations 11. Add, subtract, multiply and divide decimals: word problems 12. Multi-step inequalities with decimals 13. Evaluate numerical expressions involving decimals Add and subtract fractions 14. Add and subtract fractions with like denominators 15. Add and subtract fractions with like denominators: word problems 16. Add fractions with unlike denominators using models 17. Add fractions with unlike denominators 18. Subtract fractions with unlike denominators using models 19. Subtract fractions with unlike denominators 20. Add and subtract fractions with unlike denominators: word problems Add and subtract mixed numbers 21. Add and subtract mixed numbers 22. Add and subtract mixed numbers: word problems 23. Inequalities with addition and subtraction of fractions and mixed numbers Multiply fractions 24. Multiply unit fractions by whole numbers using number lines 25. Multiply unit fractions by whole numbers using models 26. Multiples of fractions 27. Multiply fractions by whole numbers using arrays 28. Multiply fractions by whole numbers using number lines 29. Multiplying fractions by whole numbers: choose the model 30. Multiply fractions and whole numbers 31. Multiply fractions and whole numbers: word problems 32. Multiply two unit fractions using models 33. Multiply two fractions using models 34. Multiply fractions 35. Multiply fractions: word problems 36. Multiply three or more fractions and whole numbers Divide fractions 37. Divide unit fractions by whole numbers using models 38. Divide whole numbers by unit fractions using models 39. Divide whole numbers and unit fractions using area models 40. Reciprocals 41. Divide whole numbers and unit fractions 42. Divide fractions by whole numbers 43. Divide whole numbers by fractions 44. Divide fractions 45. Divide fractions: word problems Mixed fraction operations 46. Add, subtract, multiply and divide fractions and mixed numbers: word problems 47. Evaluate numerical expressions involving fractions Percents 48. Estimate percents of numbers 49. Solve percent problems using grid models 50. Solve percent problems using strip models 51. Percents of numbers and money amounts 52. Percents of numbers: word problems 53. Find what percent one number is of another 54. Find what percent one number is of another: word problems 55. Solve percent equations 56. Solve percent equations: word problems

AC9M7N07 Compare, order and solve problems involving addition and subtraction of integers		Compare and order integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Compare integers 4. Order integers Add integers 5. Integer addition rules 6. Add integers using counters 7. Add integers using number lines 8. Add integers Subtract integers 9. Integer subtraction rules 10. Subtract integers using counters 11. Subtract integers using number lines 12. Subtract integers Add and subtract integers 13. Integer addition and subtraction rules 14. Add and subtract integers using counters 15. Add and subtract integers 16. Complete addition and subtraction number sentences with integers 17. Add and subtract integers: word problems
AC9M7N07 Compare, order and solve problems involving addition and subtraction of integers
Compare and order integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Compare integers 4. Order integers Add integers 5. Integer addition rules 6. Add integers using counters 7. Add integers using number lines 8. Add integers Subtract integers 9. Integer subtraction rules 10. Subtract integers using counters 11. Subtract integers using number lines 12. Subtract integers Add and subtract integers 13. Integer addition and subtraction rules 14. Add and subtract integers using counters 15. Add and subtract integers 16. Complete addition and subtraction number sentences with integers 17. Add and subtract integers: word problems

AC9M7N08 Recognise, represent and solve problems involving ratios		1. Write a ratio 2. Write a ratio: word problems 3. Identify equivalent ratios 4. Write an equivalent ratio 5. Equivalent ratios: word problems 6. Compare ratios: word problems
AC9M7N08 Recognise, represent and solve problems involving ratios
1. Write a ratio 2. Write a ratio: word problems 3. Identify equivalent ratios 4. Write an equivalent ratio 5. Equivalent ratios: word problems 6. Compare ratios: word problems

AC9M7N09 Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation		Rational numbers 1. Add and subtract integers: word problems 2. Add, subtract, multiply and divide decimals: word problems 3. Maps with decimal distances 4. Fractions: word problems with graphs and tables 5. Add, subtract, multiply and divide fractions and mixed numbers: word problems 6. Multi-step word problems 7. Guess-and-check word problems Proportions 8. Do the ratios form a proportion? 9. Do the ratios form a proportion: word problems 10. Solve proportions 11. Solve proportions: word problems 12. Estimate population size using proportions Percents 13. Solve percent problems using grid models 14. Solve percent problems using strip models 15. Percents of numbers: word problems 16. Find what percent one number is of another: word problems 17. Solve percent equations: word problems Consumer maths 18. Which is the better coupon? 19. Add, subtract, multiply and divide money amounts: word problems 20. Price lists 21. Unit prices 22. Unit prices: find the total price 23. Percent of a number: GST, discount and more 24. Find the percent: discount and mark-up 25. Sale prices: find the original price 26. Multi-step problems with percents
AC9M7N09 Use mathematical modelling to solve practical problems, involving rational numbers and percentages, including financial contexts; formulate problems, choosing representations and efficient calculation strategies, using digital tools as appropriate; interpret and communicate solutions in terms of the situation, justifying choices made about the representation
Rational numbers 1. Add and subtract integers: word problems 2. Add, subtract, multiply and divide decimals: word problems 3. Maps with decimal distances 4. Fractions: word problems with graphs and tables 5. Add, subtract, multiply and divide fractions and mixed numbers: word problems 6. Multi-step word problems 7. Guess-and-check word problems Proportions 8. Do the ratios form a proportion? 9. Do the ratios form a proportion: word problems 10. Solve proportions 11. Solve proportions: word problems 12. Estimate population size using proportions Percents 13. Solve percent problems using grid models 14. Solve percent problems using strip models 15. Percents of numbers: word problems 16. Find what percent one number is of another: word problems 17. Solve percent equations: word problems Consumer maths 18. Which is the better coupon? 19. Add, subtract, multiply and divide money amounts: word problems 20. Price lists 21. Unit prices 22. Unit prices: find the total price 23. Percent of a number: GST, discount and more 24. Find the percent: discount and mark-up 25. Sale prices: find the original price 26. Multi-step problems with percents

Algebra
AC9M7A01 Recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown		1. Evaluate linear expressions 2. Evaluate multi-variable expressions 3. Evaluate nonlinear expressions
AC9M7A01 Recognise and use variables to represent everyday formulas algebraically and substitute values into formulas to determine an unknown
1. Evaluate linear expressions 2. Evaluate multi-variable expressions 3. Evaluate nonlinear expressions

AC9M7A02 Formulate algebraic expressions using constants, variables, operations and brackets		1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions: word problems 4. Identify terms and coefficients
AC9M7A02 Formulate algebraic expressions using constants, variables, operations and brackets
1. Write variable expressions: one operation 2. Write variable expressions: two or three operations 3. Write variable expressions: word problems 4. Identify terms and coefficients

AC9M7A03 Solve one-variable linear equations with natural number solutions; verify the solution by substitution		1. Which x satisfies an equation? 2. Solve one-step equations 3. Solve two-step equations 4. Solve equations: complete the solution
AC9M7A03 Solve one-variable linear equations with natural number solutions; verify the solution by substitution
1. Which x satisfies an equation? 2. Solve one-step equations 3. Solve two-step equations 4. Solve equations: complete the solution

AC9M7A04 Describe relationships between variables represented in graphs of functions from authentic data		1. Interpret a graph: word problems 2. Identify graphs: word problems 3. Rate of change 4. Constant rate of change
AC9M7A04 Describe relationships between variables represented in graphs of functions from authentic data
1. Interpret a graph: word problems 2. Identify graphs: word problems 3. Rate of change 4. Constant rate of change

AC9M7A05 Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane		1. Graph points from a table 2. Complete a table for a two-variable relationship 3. Identify the graph of an equation
AC9M7A05 Generate tables of values from visually growing patterns or the rule of a function; describe and plot these relationships on the Cartesian plane
1. Graph points from a table 2. Complete a table for a two-variable relationship 3. Identify the graph of an equation

AC9M7A06 Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables		1. Solve word problems involving two-variable equations
AC9M7A06 Manipulate formulas involving several variables using digital tools, and describe the effect of systematic variation in the values of the variables
1. Solve word problems involving two-variable equations

Measurement
AC9M7M01 Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units		Rectangles 1. Multiply to find the area of a rectangle made of unit squares 2. Area of rectangles and squares Parallelograms 3. Understanding area of a parallelogram 4. Area of parallelograms Triangles 5. Understanding area of a triangle 6. Area of triangles
AC9M7M01 Solve problems involving the area of triangles and parallelograms using established formulas and appropriate units
Rectangles 1. Multiply to find the area of a rectangle made of unit squares 2. Area of rectangles and squares Parallelograms 3. Understanding area of a parallelogram 4. Area of parallelograms Triangles 5. Understanding area of a triangle 6. Area of triangles

AC9M7M02 Solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units		1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms: word problems 3. Volume of triangular prisms
AC9M7M02 Solve problems involving the volume of right prisms including rectangular and triangular prisms, using established formulas and appropriate units
1. Volume of cubes and rectangular prisms 2. Volume of cubes and rectangular prisms: word problems 3. Volume of triangular prisms

AC9M7M03 Describe the relationship between π and the features of circles including the circumference, radius and diameter		1. Parts of a circle
AC9M7M03 Describe the relationship between π and the features of circles including the circumference, radius and diameter
1. Parts of a circle

AC9M7M04 Identify corresponding, alternate and co interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons		1. Parallel, perpendicular and intersecting lines 2. Transversal of parallel lines
AC9M7M04 Identify corresponding, alternate and co interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons
1. Parallel, perpendicular and intersecting lines 2. Transversal of parallel lines

AC9M7M05 Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles		1. Find missing angles in triangles and quadrilaterals 2. Sums of angles in polygons
AC9M7M05 Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles
1. Find missing angles in triangles and quadrilaterals 2. Sums of angles in polygons

AC9M7M06 Use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation		1. Ratios and rates: word problems
AC9M7M06 Use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation
1. Ratios and rates: word problems

Space
AC9M7SP01 Represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations		1. Bases of three-dimensional figures 2. Nets of three-dimensional figures 3. Front, side and top view
AC9M7SP01 Represent objects in 2 dimensions; discuss and reason about the advantages and disadvantages of different representations
1. Bases of three-dimensional figures 2. Nets of three-dimensional figures 3. Front, side and top view

AC9M7SP02 Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships		Triangles 1. Acute, obtuse and right triangles 2. Scalene, isosceles and equilateral triangles 3. Classify triangles Quadrilaterals 4. Parallel sides in quadrilaterals 5. Identify parallelograms 6. Identify trapeziums 7. Identify rectangles 8. Identify rhombuses 9. Classify quadrilaterals I 10. Classify quadrilaterals II Triangles and quadrilaterals 11. Graph triangles and quadrilaterals
AC9M7SP02 Classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships
Triangles 1. Acute, obtuse and right triangles 2. Scalene, isosceles and equilateral triangles 3. Classify triangles Quadrilaterals 4. Parallel sides in quadrilaterals 5. Identify parallelograms 6. Identify trapeziums 7. Identify rectangles 8. Identify rhombuses 9. Classify quadrilaterals I 10. Classify quadrilaterals II Triangles and quadrilaterals 11. Graph triangles and quadrilaterals

AC9M7SP03 Describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point		Identify transformations 1. Identify reflections, rotations and translations Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates
AC9M7SP03 Describe transformations of a set of points using coordinates in the Cartesian plane, translations and reflections on an axis, and rotations about a given point
Identify transformations 1. Identify reflections, rotations and translations Translations 2. Translations: graph the image 3. Translations: find the coordinates Reflections 4. Reflections: graph the image 5. Reflections: find the coordinates Rotations 6. Rotations: graph the image 7. Rotations: find the coordinates

AC9M7SP04 Design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work		1. Classify quadrilaterals I 2. Classify quadrilaterals II
AC9M7SP04 Design and create algorithms involving a sequence of steps and decisions that will sort and classify sets of shapes according to their attributes, and describe how the algorithms work
1. Classify quadrilaterals I 2. Classify quadrilaterals II

Statistics
AC9M7ST01 Acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data		1. Calculate mean, median, mode and range 2. Mean, median, mode and range: find the missing number 3. Changes in mean, median, mode and range
AC9M7ST01 Acquire data sets for discrete and continuous numerical variables and calculate the range, median, mean and mode; make and justify decisions about which measures of central tendency provide useful insights into the nature of the distribution of data
1. Calculate mean, median, mode and range 2. Mean, median, mode and range: find the missing number 3. Changes in mean, median, mode and range

AC9M7ST02 Create different types of numerical data displays including stem and leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode		Tables and frequency charts 1. Interpret tables 2. Create frequency tables Dot plots 3. Interpret dot plots 4. Create dot plots Stem-and-leaf plots 5. Interpret stem-and-leaf plots 6. Create stem-and-leaf plots Bar graphs 7. Interpret bar graphs 8. Create bar graphs Line graphs 9. Interpret line graphs 10. Create line graphs Measures of centre and spread 11. Interpret charts to find mean, median, mode and range 12. Identify an outlier 13. Identify an outlier and describe the effect of removing it 14. Measures of centre and spread
AC9M7ST02 Create different types of numerical data displays including stem and leaf plots using software where appropriate; describe and compare the distribution of data, commenting on the shape, centre and spread including outliers and determining the range, median, mean and mode
Tables and frequency charts 1. Interpret tables 2. Create frequency tables Dot plots 3. Interpret dot plots 4. Create dot plots Stem-and-leaf plots 5. Interpret stem-and-leaf plots 6. Create stem-and-leaf plots Bar graphs 7. Interpret bar graphs 8. Create bar graphs Line graphs 9. Interpret line graphs 10. Create line graphs Measures of centre and spread 11. Interpret charts to find mean, median, mode and range 12. Identify an outlier 13. Identify an outlier and describe the effect of removing it 14. Measures of centre and spread

AC9M7ST03 Plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics
AC9M7ST03 Plan and conduct statistical investigations involving data for discrete and continuous numerical variables; analyse and interpret distributions of data and report findings in terms of shape and summary statistics

Probability
AC9M7P01 Identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events		1. More, less and equally likely 2. Sample space of simple events 3. Probability of simple events 4. Probability of opposite, mutually exclusive and overlapping events
AC9M7P01 Identify the sample space for single-stage events; assign probabilities to the outcomes of these events and predict relative frequencies for related events
1. More, less and equally likely 2. Sample space of simple events 3. Probability of simple events 4. Probability of opposite, mutually exclusive and overlapping events

AC9M7P02 Conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences		1. Experimental probability 2. Make predictions
AC9M7P02 Conduct repeated chance experiments and run simulations with a large number of trials using digital tools; compare predictions about outcomes with observed results, explaining the differences
1. Experimental probability 2. Make predictions