IXL skill plan | Numeracy Year 9 plan for the National Assessment Program

Skill plan for the National Assessment Program – Literacy and Numeracy - Numeracy Year 9

IXL provides skill alignments with recommended IXL skills for every student. Find the IXL skills that are right for you below!

Strand

Number
Space
Algebra, function and pattern
Measurement, chance and data
Working mathematically

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Number
Rational and irrational numbers
Students identify and represent rational and some irrational numbers and compare and order them in respect to their properties. For example, students can generally:
Students identify and represent rational and some irrational numbers and compare and order them in respect to their properties. For example, students can generally:

identify a rational expression with the same value as a given fraction		1. Write fractions in lowest terms 2. Convert between decimals and fractions or mixed numbers
identify a rational expression with the same value as a given fraction
1. Write fractions in lowest terms 2. Convert between decimals and fractions or mixed numbers
identify range within which the square root of a 3-digit number lies		1. Square roots of perfect squares 2. Estimate square roots
identify range within which the square root of a 3-digit number lies
1. Square roots of perfect squares 2. Estimate square roots
identify the rational number that is a solution to a routine word problem, with access to a calculator		1. Add and subtract rational numbers: word problems 2. Multiply and divide rational numbers: word problems
identify the rational number that is a solution to a routine word problem, with access to a calculator
1. Add and subtract rational numbers: word problems 2. Multiply and divide rational numbers: word problems
compare and order rational and irrational numbers, with access to a calculator		1. Compare and order rational numbers 2. Irrational numbers on number lines
compare and order rational and irrational numbers, with access to a calculator
1. Compare and order rational numbers 2. Irrational numbers on number lines
Calculating
Students calculate with 4 operations using integers, key percentages, decimals and common fractions. For example, students can generally:
Students calculate with 4 operations using integers, key percentages, decimals and common fractions. For example, students can generally:

solve a problem involving addition and subtraction of decimal numbers with different number of decimal places		1. Add and subtract decimals
solve a problem involving addition and subtraction of decimal numbers with different number of decimal places
1. Add and subtract decimals
use simple ratios in familiar practical situations		Understand ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio Word problems 4. Equivalent ratios: word problems 5. Compare ratios: word problems
use simple ratios in familiar practical situations
Understand ratios 1. Understanding ratios 2. Identify equivalent ratios 3. Write an equivalent ratio Word problems 4. Equivalent ratios: word problems 5. Compare ratios: word problems
identify solutions of multi-step word problems involving common fractions or key percentages		1. Simple interest 2. Percent of a number: GST, discount and more 3. Find the percent: discount and mark-up 4. Multi-step problems with percents
identify solutions of multi-step word problems involving common fractions or key percentages
1. Simple interest 2. Percent of a number: GST, discount and more 3. Find the percent: discount and mark-up 4. Multi-step problems with percents
Applying number
Students calculate proportions, key percentages and simple rates involving money, time and measurements. For example, students can generally:
Students calculate proportions, key percentages and simple rates involving money, time and measurements. For example, students can generally:

solve a word problem involving fractions		1. Word problems: mixed review
solve a word problem involving fractions
1. Word problems: mixed review
solve routine problems involving simple ratios		Unit rates and prices 1. Unit rates 2. Unit prices 3. Unit prices: find the total price Proportions 4. Do the ratios form a proportion? 5. Solve proportions 6. Do the ratios form a proportion: word problems 7. Solve proportions: word problems 8. Scale drawings: word problems Percents 9. Solve percent equations 10. Percent of change Measurement 11. Convert rates and measurements: metric units 12. Convert between square metres and hectares 13. Convert square and cubic units of length 14. Convert between cubic metres and litres
solve routine problems involving simple ratios
Unit rates and prices 1. Unit rates 2. Unit prices 3. Unit prices: find the total price Proportions 4. Do the ratios form a proportion? 5. Solve proportions 6. Do the ratios form a proportion: word problems 7. Solve proportions: word problems 8. Scale drawings: word problems Percents 9. Solve percent equations 10. Percent of change Measurement 11. Convert rates and measurements: metric units 12. Convert between square metres and hectares 13. Convert square and cubic units of length 14. Convert between cubic metres and litres

Students can form estimates and approximations. For example, students can generally:
Students can form estimates and approximations. For example, students can generally:

form estimates and approximations of rational and irrational numbers and simple expressions		1. Estimate percents of numbers 2. Estimate square roots
form estimates and approximations of rational and irrational numbers and simple expressions
1. Estimate percents of numbers 2. Estimate square roots
interpret and justify the reasons for making estimates and approximations		1. Estimate population size using proportions
interpret and justify the reasons for making estimates and approximations
1. Estimate population size using proportions

Space
Classification and properties of shapes
Students can classify 2D shapes and 3D objects according to common properties including angles, sides, perimeters, areas and surface. For example, students can generally:
Students can classify 2D shapes and 3D objects according to common properties including angles, sides, perimeters, areas and surface. For example, students can generally:

visualise nets of prisms or pyramids		1. Nets of three-dimensional figures
visualise nets of prisms or pyramids
1. Nets of three-dimensional figures
identify the net of a cube using criteria about opposite faces
identify the net of a cube using criteria about opposite faces

interpret 2D representations of 3D objects made from cubes and calculate their surface area		1. Front, side and top view
interpret 2D representations of 3D objects made from cubes and calculate their surface area
1. Front, side and top view
Transformations
Students can recognise symmetry and congruence and relate these to transformations and patterns. For example, students can generally:
Students can recognise symmetry and congruence and relate these to transformations and patterns. For example, students can generally:

identify points and lines of symmetry in complex 2D shapes and specify these in terms of reflection, centre of rotation and angle of rotation		1. Symmetry
identify points and lines of symmetry in complex 2D shapes and specify these in terms of reflection, centre of rotation and angle of rotation
1. Symmetry
identify lines and planes of symmetry of common 2D shapes and 3D objects		1. Count lines of symmetry 2. Draw lines of symmetry
identify lines and planes of symmetry of common 2D shapes and 3D objects
1. Count lines of symmetry 2. Draw lines of symmetry
use and modify congruent shapes to produce tessellations
use and modify congruent shapes to produce tessellations

Location and movement
Students can interpret and use maps and plans to specify locations and follow directions to move from one location to another. For example, students can generally:
Students can interpret and use maps and plans to specify locations and follow directions to move from one location to another. For example, students can generally:

use alpha-numeric coordinates to specify locations on maps
use alpha-numeric coordinates to specify locations on maps

identify and use whole-number scales
identify and use whole-number scales

follow instructions for moving from one location to another, with reference to distances, directions and angles		1. Follow directions on a coordinate plane 2. Find the distance between two points
follow instructions for moving from one location to another, with reference to distances, directions and angles
1. Follow directions on a coordinate plane 2. Find the distance between two points

Algebra, function and pattern
Relationships
Students can construct tables of values of functions given by simple rules. For example, students can generally:
Students can construct tables of values of functions given by simple rules. For example, students can generally:

identify the linear rule that generates a specific pattern		Linear equations 1. Write variable expressions for arithmetic sequences 2. Write a linear equation from a table 3. Write linear equations: word problems Proportional relationships 4. Write equations for proportional relationships from tables 5. Write equations for proportional relationships from graphs 6. Write and solve equations for proportional relationships
identify the linear rule that generates a specific pattern
Linear equations 1. Write variable expressions for arithmetic sequences 2. Write a linear equation from a table 3. Write linear equations: word problems Proportional relationships 4. Write equations for proportional relationships from tables 5. Write equations for proportional relationships from graphs 6. Write and solve equations for proportional relationships
identify the graph of a simple non-linear function given a table of values		1. Identify linear and nonlinear relationships: graphs 2. Identify linear and nonlinear relationships: tables
identify the graph of a simple non-linear function given a table of values
1. Identify linear and nonlinear relationships: graphs 2. Identify linear and nonlinear relationships: tables
read and interpret a range of graphs		1. Constant rate of change 2. Interpret the graph of a linear equation: word problems 3. Interpret graphs of proportional relationships
read and interpret a range of graphs
1. Constant rate of change 2. Interpret the graph of a linear equation: word problems 3. Interpret graphs of proportional relationships
Equivalence
Students can evaluate simple algebraic expressions. For example, students can generally:
Students can evaluate simple algebraic expressions. For example, students can generally:

evaluate simple algebraic expressions with one variable		1. Evaluate one-variable expressions
evaluate simple algebraic expressions with one variable
1. Evaluate one-variable expressions
identify solution of simple formal and informal linear equations, unknown on one side only		1. Which x satisfies an equation?
identify solution of simple formal and informal linear equations, unknown on one side only
1. Which x satisfies an equation?

Students can establish equivalence between algebraic expressions. For example, students can generally:
Students can establish equivalence between algebraic expressions. For example, students can generally:

identify equivalent forms of simple algebraic expressions		1. Identify equivalent linear expressions using algebra tiles 2. Identify equivalent linear expressions
identify equivalent forms of simple algebraic expressions
1. Identify equivalent linear expressions using algebra tiles 2. Identify equivalent linear expressions
Patterns
Students can identify and continue patterns, and make predictions of future representations in patterns. For example, students can generally:
Students can identify and continue patterns, and make predictions of future representations in patterns. For example, students can generally:

identify and continue a number pattern from a given diagram or a table of values		1. Identify proportional relationships 2. Identify proportional relationships by graphing
identify and continue a number pattern from a given diagram or a table of values
1. Identify proportional relationships 2. Identify proportional relationships by graphing
identify future term in visual representation of linear pattern		1. Complete a table and graph a linear equation
identify future term in visual representation of linear pattern
1. Complete a table and graph a linear equation

Measurement, chance and data
Measures
Students can use SI units to measure and compare lengths, areas, surfaces areas, volumes, angles, masses, times and temperatures. They can apply measurement formulae and use them in familiar practical situations. For example, students can generally:
Students can use SI units to measure and compare lengths, areas, surfaces areas, volumes, angles, masses, times and temperatures. They can apply measurement formulae and use them in familiar practical situations. For example, students can generally:

find value of missing angle in a triangle, with access to a calculator		1. Find missing angles in triangles
find value of missing angle in a triangle, with access to a calculator
1. Find missing angles in triangles
Chance
Students can make and interpret empirical estimates of probabilities in familiar situations and compare theoretical probabilities to data obtained from trials. For example, students can generally:
Students can make and interpret empirical estimates of probabilities in familiar situations and compare theoretical probabilities to data obtained from trials. For example, students can generally:

identify probability (expressed as fraction) of familiar random event		1. Theoretical probability 2. Experimental probability
identify probability (expressed as fraction) of familiar random event
1. Theoretical probability 2. Experimental probability
Data
Students can represent and summarise sample data from a given population and can use data to make inferences. For example, students can generally:
Students can represent and summarise sample data from a given population and can use data to make inferences. For example, students can generally:

calculate the average (mean) of a set of data		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
calculate the average (mean) of a set of data
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
interpret data presented in a simple bivariate graph		1. Create scatter plots 2. Identify trends with scatter plots 3. Make predictions with scatter plots 4. Scatter plots: line of best fit
interpret data presented in a simple bivariate graph
1. Create scatter plots 2. Identify trends with scatter plots 3. Make predictions with scatter plots 4. Scatter plots: line of best fit
interpret variation between sets of data and the effects of variation
interpret variation between sets of data and the effects of variation

Working mathematically
Students recall known facts, procedures or properties of rational numbers and interpret and use diagrams incorporating features of 2D shapes and 3D objects. For example, students can generally:
Students recall known facts, procedures or properties of rational numbers and interpret and use diagrams incorporating features of 2D shapes and 3D objects. For example, students can generally:

recall key concepts, properties of numbers and figures and symbolic or specific notations (e.g. a × b = ab, a + a + a = 3a)		Rational and irrational numbers 1. Identify rational and irrational numbers Properties of numbers 2. Properties of addition and multiplication 3. Distributive property 4. Simplify variable expressions using properties 5. Properties of equality Exponents 6. Understanding exponents 7. Evaluate powers 8. Solve equations with variable exponents 9. Powers with negative bases
recall key concepts, properties of numbers and figures and symbolic or specific notations (e.g. a × b = ab, a + a + a = 3a)
Rational and irrational numbers 1. Identify rational and irrational numbers Properties of numbers 2. Properties of addition and multiplication 3. Distributive property 4. Simplify variable expressions using properties 5. Properties of equality Exponents 6. Understanding exponents 7. Evaluate powers 8. Solve equations with variable exponents 9. Powers with negative bases
interpret diagrams showing features of 2D shapes and 3D objects		Quadrilaterals 1. Properties of parallelograms 2. Properties of rhombuses 3. Properties of squares and rectangles 4. Properties of trapeziums 5. Properties of kites 6. Review: properties of quadrilaterals Circles 7. Parts of a circle Three-dimensional figures 8. Parts of three-dimensional figures
interpret diagrams showing features of 2D shapes and 3D objects
Quadrilaterals 1. Properties of parallelograms 2. Properties of rhombuses 3. Properties of squares and rectangles 4. Properties of trapeziums 5. Properties of kites 6. Review: properties of quadrilaterals Circles 7. Parts of a circle Three-dimensional figures 8. Parts of three-dimensional figures
calculate with whole numbers, fractions, decimals and integers using the 4 operations and approximate numbers to estimate computations		Integers 1. Add, subtract, multiply and divide integers 2. Evaluate numerical expressions involving integers Rational numbers 3. Add and subtract rational numbers 4. Multiply and divide rational numbers 5. Evaluate numerical expressions involving rational numbers
calculate with whole numbers, fractions, decimals and integers using the 4 operations and approximate numbers to estimate computations
Integers 1. Add, subtract, multiply and divide integers 2. Evaluate numerical expressions involving integers Rational numbers 3. Add and subtract rational numbers 4. Multiply and divide rational numbers 5. Evaluate numerical expressions involving rational numbers
carry out routine algebraic procedures		Expressions 1. Simplify variable expressions involving like terms and the distributive property Equations 2. Solve equations using order of operations 3. Solve two-step linear equations 4. Solve advanced linear equations 5. Solve equations with variables on both sides 6. Solve equations: complete the solution
carry out routine algebraic procedures
Expressions 1. Simplify variable expressions involving like terms and the distributive property Equations 2. Solve equations using order of operations 3. Solve two-step linear equations 4. Solve advanced linear equations 5. Solve equations with variables on both sides 6. Solve equations: complete the solution
read and interpret graphs, tables or other sources, read and use simple whole-number scales		1. Interpret bar graphs and line graphs 2. Interpret histograms 3. Interpret stem-and-leaf plots
read and interpret graphs, tables or other sources, read and use simple whole-number scales
1. Interpret bar graphs and line graphs 2. Interpret histograms 3. Interpret stem-and-leaf plots
measure lengths, areas, volumes, masses, time, surface areas of basic shapes and objects		1. Perimeter 2. Area 3. Volume of cylinders and prisms 4. Surface area of cylinders and prisms
measure lengths, areas, volumes, masses, time, surface areas of basic shapes and objects
1. Perimeter 2. Area 3. Volume of cylinders and prisms 4. Surface area of cylinders and prisms
group or order numbers or objects by a given attribute or property		1. Classify numbers
group or order numbers or objects by a given attribute or property
1. Classify numbers

Students' ability to apply known problem-solving strategies and procedures to solve routine problems is essential for their progress and for their cognitive development. For example, students can generally:
Students' ability to apply known problem-solving strategies and procedures to solve routine problems is essential for their progress and for their cognitive development. For example, students can generally:

choose appropriate set of operations or a strategy for solving routine problems		Rational numbers 1. Add and subtract integers: word problems 2. Add and subtract rational numbers: word problems 3. Multiply and divide rational numbers: word problems Percents 4. Percents of numbers: word problems 5. Percent of change: word problems 6. Percent of change: find the original amount word problems Equations 7. Solve linear equations: word problems
choose appropriate set of operations or a strategy for solving routine problems
Rational numbers 1. Add and subtract integers: word problems 2. Add and subtract rational numbers: word problems 3. Multiply and divide rational numbers: word problems Percents 4. Percents of numbers: word problems 5. Percent of change: word problems 6. Percent of change: find the original amount word problems Equations 7. Solve linear equations: word problems
represent and interpret data in familiar tabular and graphical forms		1. Create bar graphs and line graphs 2. Create histograms 3. Create stem-and-leaf plots
represent and interpret data in familiar tabular and graphical forms
1. Create bar graphs and line graphs 2. Create histograms 3. Create stem-and-leaf plots
model a familiar situation with a diagram or an equation		1. Identify equivalent linear expressions: word problems
model a familiar situation with a diagram or an equation
1. Identify equivalent linear expressions: word problems
draw or identify common figures and shapes, given specifications		1. Draw lines of symmetry 2. Graph quadrilaterals
draw or identify common figures and shapes, given specifications
1. Draw lines of symmetry 2. Graph quadrilaterals
solve routine problems		1. Word problems: mixed review 2. Word problems with money
solve routine problems
1. Word problems: mixed review 2. Word problems with money

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