IXL Skill Plan | NSW Curriculum: Year 8

NSW Curriculum: Year 8

Skills available for New South Wales Year 8 math objectives

Area

Number and algebra
Measurement and space
Statistics and probability

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Number and algebra
Number and finance
MA4-INT-C-01 compares, orders and calculates with integers to solve problems		Compare and order integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Compare and order integers Add and subtract integers 4. Integer addition and subtraction rules 5. Add and subtract integers using counters 6. Add and subtract integers 7. Add and subtract three or more integers 8. Add and subtract integers: word problems Multiply integers 9. Integer multiplication rules 10. Multiply integers Divide integers 11. Integer division rules 12. Equal quotients of integers 13. Divide integers Multiply and divide integers 14. Integer multiplication and division rules 15. Multiply and divide integers 16. Complete multiplication and division equations with integers Mixed operations with integers 17. Add, subtract, multiply and divide integers 18. Evaluate numerical expressions involving integers
MA4-INT-C-01 compares, orders and calculates with integers to solve problems
Compare and order integers 1. Integers on number lines 2. Graph integers on horizontal and vertical number lines 3. Compare and order integers Add and subtract integers 4. Integer addition and subtraction rules 5. Add and subtract integers using counters 6. Add and subtract integers 7. Add and subtract three or more integers 8. Add and subtract integers: word problems Multiply integers 9. Integer multiplication rules 10. Multiply integers Divide integers 11. Integer division rules 12. Equal quotients of integers 13. Divide integers Multiply and divide integers 14. Integer multiplication and division rules 15. Multiply and divide integers 16. Complete multiplication and division equations with integers Mixed operations with integers 17. Add, subtract, multiply and divide integers 18. Evaluate numerical expressions involving integers

MA4-FRC-C-01 represents and operates with fractions, decimals and percentages to solve problems		Number theory 1. Highest common factor 2. Lowest common multiple 3. HCF and LCM: word problems 4. Classify numbers Rational numbers 5. Identify rational and irrational numbers 6. Write fractions in lowest terms 7. Lowest common denominator 8. Round decimals and mixed numbers 9. Convert between decimals and fractions or mixed numbers 10. Repeating decimals 11. Compare rational numbers 12. Put rational numbers in order Operations with rational numbers 13. Add and subtract rational numbers 14. Add and subtract rational numbers: word problems 15. Apply addition and subtraction rules 16. Multiply and divide rational numbers 17. Multiply and divide rational numbers: word problems 18. Apply multiplication and division rules 19. Apply addition, subtraction, multiplication and division rules 20. Evaluate numerical expressions involving rational numbers Percents 21. Convert between percents, fractions and decimals 22. Compare percents to fractions and decimals 23. Solve percent problems using grid models 24. Solve percent problems using strip models 25. Find what percent one number is of another 26. Find what percent one number is of another: word problems 27. Estimate percents of numbers 28. Percents of numbers and money amounts 29. Percents of numbers: word problems 30. Compare percents of numbers 31. Solve percent equations Percent of change 32. Percent of change 33. Percent of change: word problems 34. Percent of change: find the original amount word problems Consumer maths 35. Percent of a number: GST, discount and more 36. Find the percent: discount and mark-up 37. Sale prices: find the original price 38. Multi-step problems with percents
MA4-FRC-C-01 represents and operates with fractions, decimals and percentages to solve problems
Number theory 1. Highest common factor 2. Lowest common multiple 3. HCF and LCM: word problems 4. Classify numbers Rational numbers 5. Identify rational and irrational numbers 6. Write fractions in lowest terms 7. Lowest common denominator 8. Round decimals and mixed numbers 9. Convert between decimals and fractions or mixed numbers 10. Repeating decimals 11. Compare rational numbers 12. Put rational numbers in order Operations with rational numbers 13. Add and subtract rational numbers 14. Add and subtract rational numbers: word problems 15. Apply addition and subtraction rules 16. Multiply and divide rational numbers 17. Multiply and divide rational numbers: word problems 18. Apply multiplication and division rules 19. Apply addition, subtraction, multiplication and division rules 20. Evaluate numerical expressions involving rational numbers Percents 21. Convert between percents, fractions and decimals 22. Compare percents to fractions and decimals 23. Solve percent problems using grid models 24. Solve percent problems using strip models 25. Find what percent one number is of another 26. Find what percent one number is of another: word problems 27. Estimate percents of numbers 28. Percents of numbers and money amounts 29. Percents of numbers: word problems 30. Compare percents of numbers 31. Solve percent equations Percent of change 32. Percent of change 33. Percent of change: word problems 34. Percent of change: find the original amount word problems Consumer maths 35. Percent of a number: GST, discount and more 36. Find the percent: discount and mark-up 37. Sale prices: find the original price 38. Multi-step problems with percents
Algebra and equations
MA4-ALG-C-01 generalises number properties to operate with algebraic expressions including expansion and factorisation		Write expressions 1. Write variable expressions 2. Write variable expressions from diagrams 3. Write variable expressions: word problems Identify terms and coefficients 4. Identify terms and coefficients Evaluate expressions 5. Evaluate variable expressions for number sequences 6. Evaluate one-variable expressions 7. Evaluate multi-variable expressions 8. Evaluate rational expressions Simplify expressions 9. Properties of addition and multiplication 10. Multiply using the distributive property 11. Simplify variable expressions using properties 12. Add and subtract like terms 13. Add, subtract and multiply linear expressions Factorise expressions 14. Sort factors of expressions 15. Factors of linear expressions
MA4-ALG-C-01 generalises number properties to operate with algebraic expressions including expansion and factorisation
Write expressions 1. Write variable expressions 2. Write variable expressions from diagrams 3. Write variable expressions: word problems Identify terms and coefficients 4. Identify terms and coefficients Evaluate expressions 5. Evaluate variable expressions for number sequences 6. Evaluate one-variable expressions 7. Evaluate multi-variable expressions 8. Evaluate rational expressions Simplify expressions 9. Properties of addition and multiplication 10. Multiply using the distributive property 11. Simplify variable expressions using properties 12. Add and subtract like terms 13. Add, subtract and multiply linear expressions Factorise expressions 14. Sort factors of expressions 15. Factors of linear expressions

MA4-IND-C-01 operates with primes and roots, positive-integer and zero indices involving numerical bases and establishes the relevant index laws		Prime factorisation 1. Prime or composite 2. Prime factorisation Exponents 3. Understanding exponents 4. Evaluate powers 5. Powers with negative bases 6. Powers with decimal and fractional bases 7. Multiplication with exponents 8. Division with exponents 9. Multiplication and division with exponents 10. Power rule 11. Evaluate expressions using properties of exponents 12. Identify equivalent expressions involving exponents I 13. Identify equivalent expressions involving exponents II Square roots 14. Square roots of perfect squares 15. Estimate square roots 16. Relationship between squares and square roots 17. Solve equations involving squares and square roots Cube roots 18. Cube roots of perfect cubes 19. Estimate cube roots 20. Solve equations involving cubes and cube roots
MA4-IND-C-01 operates with primes and roots, positive-integer and zero indices involving numerical bases and establishes the relevant index laws
Prime factorisation 1. Prime or composite 2. Prime factorisation Exponents 3. Understanding exponents 4. Evaluate powers 5. Powers with negative bases 6. Powers with decimal and fractional bases 7. Multiplication with exponents 8. Division with exponents 9. Multiplication and division with exponents 10. Power rule 11. Evaluate expressions using properties of exponents 12. Identify equivalent expressions involving exponents I 13. Identify equivalent expressions involving exponents II Square roots 14. Square roots of perfect squares 15. Estimate square roots 16. Relationship between squares and square roots 17. Solve equations involving squares and square roots Cube roots 18. Cube roots of perfect cubes 19. Estimate cube roots 20. Solve equations involving cubes and cube roots

MA4-EQU-C-01 solves linear equations of up to 2 steps and quadratic equations of the form ax²=c		Write linear equations 1. Write an equation from words 2. Write and solve equations that represent diagrams Solve linear equations 3. Which x satisfies an equation? 4. Model and solve equations using algebra tiles 5. Solve one-step equations 6. Solve two-step equations 7. Solve equations: word problems 8. Find a value using a linear equation Quadratic equations 9. Solve equations involving squares and square roots
MA4-EQU-C-01 solves linear equations of up to 2 steps and quadratic equations of the form ax²=c
Write linear equations 1. Write an equation from words 2. Write and solve equations that represent diagrams Solve linear equations 3. Which x satisfies an equation? 4. Model and solve equations using algebra tiles 5. Solve one-step equations 6. Solve two-step equations 7. Solve equations: word problems 8. Find a value using a linear equation Quadratic equations 9. Solve equations involving squares and square roots
Ratios and rates
MA4-RAT-C-01 solves problems involving ratios and rates, and analyses distance–time graphs		Ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio 4. Equivalent ratios: word problems Rates 5. Unit rates 6. Compare ratios: word problems 7. Compare rates: word problems Ratios and rates 8. Ratios and rates: word problems Metric units 9. Convert rates and measurements: metric units
MA4-RAT-C-01 solves problems involving ratios and rates, and analyses distance–time graphs
Ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio 4. Equivalent ratios: word problems Rates 5. Unit rates 6. Compare ratios: word problems 7. Compare rates: word problems Ratios and rates 8. Ratios and rates: word problems Metric units 9. Convert rates and measurements: metric units
Linear and non-linear relationships
MA4-LIN-C-01 creates and displays number patterns and finds graphical solutions to problems involving linear relationships		Coordinate plane 1. Coordinate plane review 2. Quadrants and axes 3. Follow directions on a coordinate plane Linear equations 4. Find a value using a linear equation 5. Complete a table for a linear equation 6. Complete a table and graph a linear equation 7. Graph a line from an equation 8. Interpret the graph of a linear equation: word problems 9. Write a linear equation from a table 10. Write linear equations: word problems Horizontal and vertical lines 11. Equations of horizontal and vertical lines 12. Graph a horizontal or vertical line
MA4-LIN-C-01 creates and displays number patterns and finds graphical solutions to problems involving linear relationships
Coordinate plane 1. Coordinate plane review 2. Quadrants and axes 3. Follow directions on a coordinate plane Linear equations 4. Find a value using a linear equation 5. Complete a table for a linear equation 6. Complete a table and graph a linear equation 7. Graph a line from an equation 8. Interpret the graph of a linear equation: word problems 9. Write a linear equation from a table 10. Write linear equations: word problems Horizontal and vertical lines 11. Equations of horizontal and vertical lines 12. Graph a horizontal or vertical line

Measurement and space
Pythagoras and trigonometry
MA4-PYT-C-01 applies Pythagoras' theorem to solve problems in various contexts		Pythagoras' theorem 1. Pythagoras' theorem: find the length of the hypotenuse 2. Pythagoras' theorem: find the missing leg length 3. Pythagoras' theorem: find the missing leg or hypotenuse length 4. Pythagoras' theorem: find the perimeter 5. Pythagoras' theorem: word problems Converse of Pythagoras' theorem 6. Converse of Pythagoras' theorem: is it a right triangle?
MA4-PYT-C-01 applies Pythagoras' theorem to solve problems in various contexts
Pythagoras' theorem 1. Pythagoras' theorem: find the length of the hypotenuse 2. Pythagoras' theorem: find the missing leg length 3. Pythagoras' theorem: find the missing leg or hypotenuse length 4. Pythagoras' theorem: find the perimeter 5. Pythagoras' theorem: word problems Converse of Pythagoras' theorem 6. Converse of Pythagoras' theorem: is it a right triangle?
Length, area and volume
MA4-LEN-C-01 applies knowledge of the perimeter of plane shapes and the circumference of circles to solve problems		Perimeter 1. Perimeter 2. Area and perimeter: word problems Circles 3. Parts of a circle 4. Circumference of circles 5. Circles: calculate area, circumference, radius and diameter 6. Circles, semicircles and quarter circles 7. Circles: word problems
MA4-LEN-C-01 applies knowledge of the perimeter of plane shapes and the circumference of circles to solve problems
Perimeter 1. Perimeter 2. Area and perimeter: word problems Circles 3. Parts of a circle 4. Circumference of circles 5. Circles: calculate area, circumference, radius and diameter 6. Circles, semicircles and quarter circles 7. Circles: word problems

MA4-ARE-C-01 applies knowledge of area and composite area involving triangles, quadrilaterals and circles to solve problems		Area 1. Understanding area of a trapezium 2. Area of trapeziums 3. Area of rhombuses 4. Area: mixed review 5. Area between two shapes 6. Area and perimeter: word problems Circles 7. Area of circles 8. Circles: calculate area, circumference, radius and diameter 9. Circles, semicircles and quarter circles 10. Circles: word problems Metric units 11. Convert between square metres and hectares Compound figures 12. Area of compound figures with triangles 13. Area of compound figures with triangles, semicircles and quarter circles
MA4-ARE-C-01 applies knowledge of area and composite area involving triangles, quadrilaterals and circles to solve problems
Area 1. Understanding area of a trapezium 2. Area of trapeziums 3. Area of rhombuses 4. Area: mixed review 5. Area between two shapes 6. Area and perimeter: word problems Circles 7. Area of circles 8. Circles: calculate area, circumference, radius and diameter 9. Circles, semicircles and quarter circles 10. Circles: word problems Metric units 11. Convert between square metres and hectares Compound figures 12. Area of compound figures with triangles 13. Area of compound figures with triangles, semicircles and quarter circles

MA4-VOL-C-01 applies knowledge of volume and capacity to solve problems involving right prisms and cylinders		Three-dimensional figures 1. Parts of three-dimensional figures 2. Nets of three-dimensional figures 3. Front, side and top view Volume 4. Volume of prisms 5. Volume of cubes and rectangular prisms: word problems Metric units 6. Convert between cubic metres and litres
MA4-VOL-C-01 applies knowledge of volume and capacity to solve problems involving right prisms and cylinders
Three-dimensional figures 1. Parts of three-dimensional figures 2. Nets of three-dimensional figures 3. Front, side and top view Volume 4. Volume of prisms 5. Volume of cubes and rectangular prisms: word problems Metric units 6. Convert between cubic metres and litres
Geometrical properties and figures
MA4-ANG-C-01 applies angle relationships to solve problems, including those related to transversals on sets of parallel lines		1. Identify complementary, supplementary, vertical, adjacent and congruent angles 2. Find measures of complementary, supplementary, vertical and adjacent angles 3. Transversal of parallel lines
MA4-ANG-C-01 applies angle relationships to solve problems, including those related to transversals on sets of parallel lines
1. Identify complementary, supplementary, vertical, adjacent and congruent angles 2. Find measures of complementary, supplementary, vertical and adjacent angles 3. Transversal of parallel lines

MA4-GEO-C-01 identifies and applies the properties of triangles and quadrilaterals to solve problems		Triangles 1. Classify triangles 2. Find missing angles in triangles Quadrilaterals 3. Identify trapeziums 4. Classify quadrilaterals I 5. Classify quadrilaterals II 6. Graph quadrilaterals Properties of quadrilaterals 7. Properties of parallelograms 8. Properties of rhombuses 9. Properties of squares and rectangles 10. Properties of trapeziums 11. Properties of kites 12. Review: properties of quadrilaterals Missing angles in quadrilaterals 13. Find missing angles in quadrilaterals I 14. Find missing angles in quadrilaterals II
MA4-GEO-C-01 identifies and applies the properties of triangles and quadrilaterals to solve problems
Triangles 1. Classify triangles 2. Find missing angles in triangles Quadrilaterals 3. Identify trapeziums 4. Classify quadrilaterals I 5. Classify quadrilaterals II 6. Graph quadrilaterals Properties of quadrilaterals 7. Properties of parallelograms 8. Properties of rhombuses 9. Properties of squares and rectangles 10. Properties of trapeziums 11. Properties of kites 12. Review: properties of quadrilaterals Missing angles in quadrilaterals 13. Find missing angles in quadrilaterals I 14. Find missing angles in quadrilaterals II

Statistics and probability
Data classifications, visualisation and analysis
MA4-DAT-C-01 classifies and displays data using a variety of graphical representations		Circle graphs 1. Interpret circle graphs 2. Circle graphs and central angles Bar graphs 3. Interpret bar graphs 4. Create bar graphs Line graphs 5. Interpret line graphs 6. Create line graphs Dot plots 7. Interpret dot plots 8. Create dot plots Stem-and-leaf plots 9. Interpret stem-and-leaf plots 10. Create stem-and-leaf plots 11. Choose the best type of graph Frequency charts 12. Create frequency tables
MA4-DAT-C-01 classifies and displays data using a variety of graphical representations
Circle graphs 1. Interpret circle graphs 2. Circle graphs and central angles Bar graphs 3. Interpret bar graphs 4. Create bar graphs Line graphs 5. Interpret line graphs 6. Create line graphs Dot plots 7. Interpret dot plots 8. Create dot plots Stem-and-leaf plots 9. Interpret stem-and-leaf plots 10. Create stem-and-leaf plots 11. Choose the best type of graph Frequency charts 12. Create frequency tables

MA4-DAT-C-02 analyses simple datasets using measures of centre, range and shape of the data		Measures of centre 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. Changes in mean, median, mode and range Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it Samples 7. Identify representative, random and biased samples
MA4-DAT-C-02 analyses simple datasets using measures of centre, range and shape of the data
Measures of centre 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. Changes in mean, median, mode and range Outliers 5. Identify an outlier 6. Identify an outlier and describe the effect of removing it Samples 7. Identify representative, random and biased samples
Probability
MA4-PRO-C-01 solves problems involving the probabilities of simple chance experiments		1. Probability of simple events 2. Probability of opposite, mutually exclusive and overlapping events 3. Experimental probability 4. Make predictions
MA4-PRO-C-01 solves problems involving the probabilities of simple chance experiments
1. Probability of simple events 2. Probability of opposite, mutually exclusive and overlapping events 3. Experimental probability 4. Make predictions