IXL skill plan | Year 9 plan for White Rose Maths

Skill plan for White Rose Maths - Year 9

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

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Autumn term
Block 1 - Straight line graphs
Step 1: Lines parallel to the axis, y = x and y = –x (R)		1. Equations of horizontal and vertical lines 2. Graph a horizontal or vertical line
Step 1: Lines parallel to the axis, y = x and y = –x (R)
1. Equations of horizontal and vertical lines 2. Graph a horizontal or vertical line

Step 2: Using tables of values (R)		1. Complete a table for a linear equation 2. Complete a table and graph a linear equation Also consider: • Write a linear equation from a table
Step 2: Using tables of values (R)
1. Complete a table for a linear equation 2. Complete a table and graph a linear equation Also consider: • Write a linear equation from a table

Step 3: Compare gradients		1. Find the gradient of a graph 2. Graph a line using gradient Also consider: • Find the gradient from two points
Step 3: Compare gradients
1. Find the gradient of a graph 2. Graph a line using gradient Also consider: • Find the gradient from two points

Step 4: Compare intercepts		1. Graph an equation in y=mx+c form 2. Does (x, y) satisfy the linear equation? 3. Find a missing coordinate using gradient
Step 4: Compare intercepts
1. Graph an equation in y=mx+c form 2. Does (x, y) satisfy the linear equation? 3. Find a missing coordinate using gradient

Step 5: Understand and use y = mx + c		1. Find the gradient and y-intercept of a linear equation 2. Gradients of parallel lines Also consider: • Write an equation in y=mx+c form from a gradient and y-intercept
Step 5: Understand and use y = mx + c
1. Find the gradient and y-intercept of a linear equation 2. Gradients of parallel lines Also consider: • Write an equation in y=mx+c form from a gradient and y-intercept

Step 6: Write an equation in the form y = mx + c (H)		1. Linear equations: solve for y
Step 6: Write an equation in the form y = mx + c (H)
1. Linear equations: solve for y

Step 7: Find the equation of a line from a graph		1. Write an equation in y=mx+c form from a graph Also consider: • Write an equation in y=mx+c form from a gradient and a point • Write an equation in y=mx+c form from two points
Step 7: Find the equation of a line from a graph
1. Write an equation in y=mx+c form from a graph Also consider: • Write an equation in y=mx+c form from a gradient and a point • Write an equation in y=mx+c form from two points

Step 8: Interpret gradients and intercepts of real-life graphs		1. Write a linear equation: word problems 2. Interpret points on the graph of a line: word problems Also consider: • Compare linear functions: graphs, tables and equations
Step 8: Interpret gradients and intercepts of real-life graphs
1. Write a linear equation: word problems 2. Interpret points on the graph of a line: word problems Also consider: • Compare linear functions: graphs, tables and equations

Step 9: Model real-life graphs involving inverse proportion (H)
Step 9: Model real-life graphs involving inverse proportion (H)


Step 10: Explore perpendicular lines (H)		1. Gradients of perpendicular lines
Step 10: Explore perpendicular lines (H)
1. Gradients of perpendicular lines
Block 2 - Forming & solving equations
Step 1: One and two-step equations and inequalities (R)		1. Solve two-step equations 2. Solve two-step equations: word problems 3. Solve two-step linear inequalities Also consider: • One-step inequalities: word problems • Which x satisfies an equation?
Step 1: One and two-step equations and inequalities (R)
1. Solve two-step equations 2. Solve two-step equations: word problems 3. Solve two-step linear inequalities Also consider: • One-step inequalities: word problems • Which x satisfies an equation?

Step 2: Equations and inequalities with brackets (R)		1. Solve multi-step equations 2. Solve multi-step inequalities 3. Graph solutions to multi-step inequalities Also consider: • Solve multi-step equations with fractional coefficients
Step 2: Equations and inequalities with brackets (R)
1. Solve multi-step equations 2. Solve multi-step inequalities 3. Graph solutions to multi-step inequalities Also consider: • Solve multi-step equations with fractional coefficients

Step 3: Inequalities with negative numbers		1. Solutions to inequalities 2. Solve one-step inequalities 3. Solve multi-step inequalities
Step 3: Inequalities with negative numbers
1. Solutions to inequalities 2. Solve one-step inequalities 3. Solve multi-step inequalities

Step 4: Solve equations with unknowns on both sides		1. Solve equations with variables on both sides 2. Solve equations involving like terms Also consider: • Solve equations: mixed review • Solve equations: complete the solution
Step 4: Solve equations with unknowns on both sides
1. Solve equations with variables on both sides 2. Solve equations involving like terms Also consider: • Solve equations: mixed review • Solve equations: complete the solution

Step 5: Solve inequalities with unknowns on both sides		1. Solve advanced linear inequalities
Step 5: Solve inequalities with unknowns on both sides
1. Solve advanced linear inequalities

Step 6: Equations and inequalities in other mathematical contexts
Step 6: Equations and inequalities in other mathematical contexts


Step 7: Formulae and equations		1. Evaluate multi-variable expressions
Step 7: Formulae and equations
1. Evaluate multi-variable expressions

Step 8: Rearrange formulae (one-step)
Step 8: Rearrange formulae (one-step)


Step 9: Rearrange formulae (two-step)		1. Rearrange multi-variable equations
Step 9: Rearrange formulae (two-step)
1. Rearrange multi-variable equations

Step 10: Rearrange complex formulae (H)
Step 10: Rearrange complex formulae (H)

Block 3 - Testing conjectures
Step 1: Factors, multiples and primes (R)		1. Highest common factor 2. Lowest common multiple Also consider: • Prime or composite • Prime factorisation
Step 1: Factors, multiples and primes (R)
1. Highest common factor 2. Lowest common multiple Also consider: • Prime or composite • Prime factorisation

Step 2: True or false		1. Counterexamples
Step 2: True or false
1. Counterexamples

Step 3: Always, sometimes, never true
Step 3: Always, sometimes, never true


Step 4: Show that		1. Equations with mixed operations: true or false
Step 4: Show that
1. Equations with mixed operations: true or false

Step 5: Conjectures about number		1. Integer addition and subtraction rules 2. Integer multiplication and division rules
Step 5: Conjectures about number
1. Integer addition and subtraction rules 2. Integer multiplication and division rules

Step 6: Expand a pair of binomials		1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Multiply polynomials using algebra tiles Also consider: • Model polynomials with algebra tiles
Step 6: Expand a pair of binomials
1. Multiply using the distributive property: area models 2. Multiply using the distributive property 3. Multiply polynomials using algebra tiles Also consider: • Model polynomials with algebra tiles

Step 7: Conjectures with algebra
Step 7: Conjectures with algebra


Step 8: Explore the 100 grid
Step 8: Explore the 100 grid


Step 9: Expand three binomials (H)
Step 9: Expand three binomials (H)

Block 4 - Three dimensional shapes
Step 1: Know names of 2D and 3D shapes		1. Name the two-dimensional shape 2. Name the three-dimensional shape
Step 1: Know names of 2D and 3D shapes
1. Name the two-dimensional shape 2. Name the three-dimensional shape

Step 2: Recognise prisms (including language of edges and vertices)		1. Cross-sections of three-dimensional figures 2. Bases of three-dimensional figures
Step 2: Recognise prisms (including language of edges and vertices)
1. Cross-sections of three-dimensional figures 2. Bases of three-dimensional figures

Step 3: Accurate nets of cuboids and other 3D shapes
Step 3: Accurate nets of cuboids and other 3D shapes


Step 4: Sketch and recognise nets of cuboids and other 3D shapes		1. Nets of three-dimensional figures
Step 4: Sketch and recognise nets of cuboids and other 3D shapes
1. Nets of three-dimensional figures

Step 5: Plans and elevations		1. Front, side and top view Also consider: • Base plans
Step 5: Plans and elevations
1. Front, side and top view Also consider: • Base plans

Step 6: Find area of 2D shapes (R)		1. Area of triangles and quadrilaterals 2. Area of compound figures with triangles 3. Area of circles
Step 6: Find area of 2D shapes (R)
1. Area of triangles and quadrilaterals 2. Area of compound figures with triangles 3. Area of circles

Step 7: Surface area of cubes and cuboids		1. Surface area of cuboids
Step 7: Surface area of cubes and cuboids
1. Surface area of cuboids

Step 8: Surface area of triangular prisms		1. Surface area of triangular prisms
Step 8: Surface area of triangular prisms
1. Surface area of triangular prisms

Step 9: Surface area of a cylinder		1. Surface area of prisms and cylinders
Step 9: Surface area of a cylinder
1. Surface area of prisms and cylinders

Step 10: Volume of cubes and cuboids		1. Volume of cubes and cuboids
Step 10: Volume of cubes and cuboids
1. Volume of cubes and cuboids

Step 11: Volume of other 3D shapes - prisms and cylinders		1. Volume of prisms and cylinders
Step 11: Volume of other 3D shapes - prisms and cylinders
1. Volume of prisms and cylinders

Step 12: Explore volumes of cones, pyramids and spheres (H)		1. Volume of pyramids and cones 2. Volume of spheres
Step 12: Explore volumes of cones, pyramids and spheres (H)
1. Volume of pyramids and cones 2. Volume of spheres
Block 5 - Constructions & congruency
Step 1: Draw and measure angles (R)		1. Name, measure and classify angles
Step 1: Draw and measure angles (R)
1. Name, measure and classify angles

Step 2: Construct and interpret scale drawings (R)		1. Scale drawings: word problems 2. Scale drawings: scale factor word problems
Step 2: Construct and interpret scale drawings (R)
1. Scale drawings: word problems 2. Scale drawings: scale factor word problems

Step 3: Locus of distance from a point
Step 3: Locus of distance from a point


Step 4: Locus of distance from a straight line
Step 4: Locus of distance from a straight line


Step 5: Locus equidistant from two points
Step 5: Locus equidistant from two points


Step 6: Construct a perpendicular bisector		1. Construct the midpoint or perpendicular bisector of a segment
Step 6: Construct a perpendicular bisector
1. Construct the midpoint or perpendicular bisector of a segment

Step 7: Construct a perpendicular from a point		1. Construct a perpendicular line from a point
Step 7: Construct a perpendicular from a point
1. Construct a perpendicular line from a point

Step 8: Construct a perpendicular to a point		1. Construct a perpendicular line to a point
Step 8: Construct a perpendicular to a point
1. Construct a perpendicular line to a point

Step 9: Locus of distance from two lines
Step 9: Locus of distance from two lines


Step 10: Construct an angle bisector		1. Construct an angle bisector
Step 10: Construct an angle bisector
1. Construct an angle bisector

Step 11: Construct triangles from given information (R)		1. Construct an equilateral triangle or regular hexagon
Step 11: Construct triangles from given information (R)
1. Construct an equilateral triangle or regular hexagon

Step 12: Identify congruent figures		1. Identify congruent figures
Step 12: Identify congruent figures
1. Identify congruent figures

Step 13: Explore congruent triangles		1. Congruence statements and corresponding parts 2. Side lengths and angle measures of congruent figures
Step 13: Explore congruent triangles
1. Congruence statements and corresponding parts 2. Side lengths and angle measures of congruent figures

Step 14: Identify congruent triangles		1. Congruent triangles: SSS, SAS and ASA
Step 14: Identify congruent triangles
1. Congruent triangles: SSS, SAS and ASA

Spring term
Block 1 - Numbers
Step 1: Integers, real and rational numbers		1. Classify numbers 2. Identify rational and irrational numbers
Step 1: Integers, real and rational numbers
1. Classify numbers 2. Identify rational and irrational numbers

Step 2: Understand and use surds (H)
Step 2: Understand and use surds (H)


Step 3: Work with directed number (R)		1. Apply addition and subtraction rules 2. Apply multiplication and division rules 3. Apply addition, subtraction, multiplication and division rules Also consider: • Evaluate numerical expressions involving integers
Step 3: Work with directed number (R)
1. Apply addition and subtraction rules 2. Apply multiplication and division rules 3. Apply addition, subtraction, multiplication and division rules Also consider: • Evaluate numerical expressions involving integers

Step 4: Solve problems with integers		1. Add and subtract integers 2. Multiply and divide integers Also consider: • Complete addition and subtraction sentences with integers • Complete multiplication and division sentences with integers
Step 4: Solve problems with integers
1. Add and subtract integers 2. Multiply and divide integers Also consider: • Complete addition and subtraction sentences with integers • Complete multiplication and division sentences with integers

Step 5: Solve problems with decimals		1. Add and subtract positive and negative decimals 2. Multiply and divide positive and negative decimals
Step 5: Solve problems with decimals
1. Add and subtract positive and negative decimals 2. Multiply and divide positive and negative decimals

Step 6: HCF and LCM (R)		1. HCF and LCM: word problems
Step 6: HCF and LCM (R)
1. HCF and LCM: word problems

Step 7: Adding and subtracting fractions (R)		1. Add and subtract positive and negative fractions
Step 7: Adding and subtracting fractions (R)
1. Add and subtract positive and negative fractions

Step 8: Multiplying and dividing fractions (R)		1. Multiply and divide positive and negative fractions
Step 8: Multiplying and dividing fractions (R)
1. Multiply and divide positive and negative fractions

Step 9: Solve problems with fractions		1. Add and subtract positive rational numbers: word problems 2. Multiply and divide positive rational numbers: word problems 3. Add, subtract, multiply and divide rational numbers Also consider: • Evaluate numerical expressions involving rational numbers • Add and subtract rational numbers • Multiply and divide rational numbers
Step 9: Solve problems with fractions
1. Add and subtract positive rational numbers: word problems 2. Multiply and divide positive rational numbers: word problems 3. Add, subtract, multiply and divide rational numbers Also consider: • Evaluate numerical expressions involving rational numbers • Add and subtract rational numbers • Multiply and divide rational numbers

Step 10: Numbers in standard form (R)		1. Convert between ordinary numbers and standard form 2. Standard form on calculators 3. Compare numbers written in standard form
Step 10: Numbers in standard form (R)
1. Convert between ordinary numbers and standard form 2. Standard form on calculators 3. Compare numbers written in standard form
Block 2 - Using percentages
Step 1: Use the equivalence of fractions, decimals and percentages (R)		1. Convert between percents, fractions and decimals 2. Convert between percents, fractions and decimals: word problems
Step 1: Use the equivalence of fractions, decimals and percentages (R)
1. Convert between percents, fractions and decimals 2. Convert between percents, fractions and decimals: word problems

Step 2: Calculate percentage increase and decrease (R)		1. Percent of change 2. Percent of change: word problems
Step 2: Calculate percentage increase and decrease (R)
1. Percent of change 2. Percent of change: word problems

Step 3: Express a change as a percentage (R)		1. Find the percent: discount and mark-up
Step 3: Express a change as a percentage (R)
1. Find the percent: discount and mark-up

Step 4: Solve reverse percentage problems		1. Percent of a number: VAT, discount and more 2. Percent of change: find the original amount word problems 3. Sale prices: find the original price
Step 4: Solve reverse percentage problems
1. Percent of a number: VAT, discount and more 2. Percent of change: find the original amount word problems 3. Sale prices: find the original price

Step 5: Recognise and solve percentage problems (non-calculator)		1. Find the total given a part and a percent
Step 5: Recognise and solve percentage problems (non-calculator)
1. Find the total given a part and a percent

Step 6: Recognise and solve percentage problems (calculator)
Step 6: Recognise and solve percentage problems (calculator)


Step 7: Solve problems with repeated percentage change (H)		1. Multi-step problems with percents
Step 7: Solve problems with repeated percentage change (H)
1. Multi-step problems with percents
Block 3 - Maths & money
Step 1: Solve problems with bills and bank statements		1. Balance a budget
Step 1: Solve problems with bills and bank statements
1. Balance a budget

Step 2: Calculate simple interest		1. Simple interest
Step 2: Calculate simple interest
1. Simple interest

Step 3: Calculate compound interest		1. Compound interest
Step 3: Calculate compound interest
1. Compound interest

Step 4: Solve problems with Value Added Tax		1. Percent of a number: VAT, discount and more
Step 4: Solve problems with Value Added Tax
1. Percent of a number: VAT, discount and more

Step 5: Calculate wages and taxes
Step 5: Calculate wages and taxes


Step 6: Solve problems with exchange rates
Step 6: Solve problems with exchange rates


Step 7: Solve unit pricing problems		1. Unit prices 2. Unit prices: find the total price
Step 7: Solve unit pricing problems
1. Unit prices 2. Unit prices: find the total price
Block 4 - Deduction
Step 1: Angles in parallel lines (R)		1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs
Step 1: Angles in parallel lines (R)
1. Identify alternate interior and alternate exterior angles 2. Transversals of parallel lines: name angle pairs

Step 2: Solve angle problems using chains of reasoning		1. Transversals of parallel lines: find angle measures
Step 2: Solve angle problems using chains of reasoning
1. Transversals of parallel lines: find angle measures

Step 3: Angle problems with algebra		1. Find measures of complementary, supplementary, vertical and adjacent angles 2. Find missing angles in triangles and quadrilaterals 3. Interior angles of polygons Also consider: • Triangle inequality
Step 3: Angle problems with algebra
1. Find measures of complementary, supplementary, vertical and adjacent angles 2. Find missing angles in triangles and quadrilaterals 3. Interior angles of polygons Also consider: • Triangle inequality

Step 4: Conjectures with angles
Step 4: Conjectures with angles


Step 5: Conjectures with shapes		1. Triangle inequality
Step 5: Conjectures with shapes
1. Triangle inequality

Step 6: Link constructions and geometrical reasoning (H)
Step 6: Link constructions and geometrical reasoning (H)

Block 5 - Rotation & translation
Step 1: Identify the order of rotational symmetry of a shape		1. Rotational symmetry
Step 1: Identify the order of rotational symmetry of a shape
1. Rotational symmetry

Step 2: Compare and contrast rotational symmetry with line symmetry		1. Symmetry
Step 2: Compare and contrast rotational symmetry with line symmetry
1. Symmetry

Step 3: Rotate a shape about a point on a shape Step 4: Rotate a shape about a point not on a shape		1. Rotations: graph the image 2. Rotations: find the coordinates
Step 3: Rotate a shape about a point on a shape Step 4: Rotate a shape about a point not on a shape
1. Rotations: graph the image 2. Rotations: find the coordinates

Step 5: Translate points and shapes by a given vector		1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule
Step 5: Translate points and shapes by a given vector
1. Translations: graph the image 2. Translations: find the coordinates 3. Translations: write the rule

Step 6: Compare rotation and reflection of shapes
Step 6: Compare rotation and reflection of shapes


Step 7: Find the result of a series of transformations (H)		1. Sequences of congruence transformations: choose the sequence
Step 7: Find the result of a series of transformations (H)
1. Sequences of congruence transformations: choose the sequence
Block 6 - Pythagoras' theorem
Step 1: Squares and square roots (R)		1. Relationship between squares and square roots 2. Solve equations involving squares and square roots Also consider: • Square roots of perfect squares
Step 1: Squares and square roots (R)
1. Relationship between squares and square roots 2. Solve equations involving squares and square roots Also consider: • Square roots of perfect squares

Step 2: Identify the hypotenuse of a right-angled triangle
Step 2: Identify the hypotenuse of a right-angled triangle


Step 3: Determine whether a triangle is right-angled		1. Converse of Pythagoras' theorem: is it a right triangle?
Step 3: Determine whether a triangle is right-angled
1. Converse of Pythagoras' theorem: is it a right triangle?

Step 4: Calculate the hypotenuse of a right-angled triangle		1. Pythagoras' theorem: find the length of the hypotenuse
Step 4: Calculate the hypotenuse of a right-angled triangle
1. Pythagoras' theorem: find the length of the hypotenuse

Step 5: Calculate missing sides in right-angled triangles		1. Pythagoras' theorem: find the missing leg length Also consider: • Pythagoras' theorem: find the missing leg or hypotenuse length • Pythagoras' theorem: find the perimeter • Pythagoras' theorem: word problems
Step 5: Calculate missing sides in right-angled triangles
1. Pythagoras' theorem: find the missing leg length Also consider: • Pythagoras' theorem: find the missing leg or hypotenuse length • Pythagoras' theorem: find the perimeter • Pythagoras' theorem: word problems

Step 6: Use Pythagoras' theorem on coordinate axes		1. Find the distance between two points
Step 6: Use Pythagoras' theorem on coordinate axes
1. Find the distance between two points

Step 7: Explore proofs of Pythagoras' theorem
Step 7: Explore proofs of Pythagoras' theorem


Step 8: Use Pythagoras' theorem in 3D shapes (H)
Step 8: Use Pythagoras' theorem in 3D shapes (H)

Summer term
Block 1 - Enlargement & similarity
Step 1: Recognise enlargement and similarity
Step 1: Recognise enlargement and similarity


Step 2: Enlarge a shape by a positive integer scale factor
Step 2: Enlarge a shape by a positive integer scale factor


Step 3: Enlarge a shape by a positive integer scale factor from a point
Step 3: Enlarge a shape by a positive integer scale factor from a point


Step 4: Enlarge a shape by a positive fractional scale factor		1. Dilations: graph the image 2. Dilations: find the coordinates
Step 4: Enlarge a shape by a positive fractional scale factor
1. Dilations: graph the image 2. Dilations: find the coordinates

Step 5: Enlarge a shape by a negative scale factor (H)		1. Dilations: scale factor and classification
Step 5: Enlarge a shape by a negative scale factor (H)
1. Dilations: scale factor and classification

Step 6: Work out missing sides and angles in a pair of given similar shapes		1. Side lengths and angle measures of similar figures
Step 6: Work out missing sides and angles in a pair of given similar shapes
1. Side lengths and angle measures of similar figures

Step 7: Solve problems with similar triangles (H)		1. Similar figures and indirect measurement
Step 7: Solve problems with similar triangles (H)
1. Similar figures and indirect measurement

Step 8: Explore ratios in right-angled triangles (H)		1. Ratios in similar figures
Step 8: Explore ratios in right-angled triangles (H)
1. Ratios in similar figures
Block 2 - Solving ratio & proportion problems
Step 1: Solve problems with direct proportion (R)		1. Identify proportional relationships from tables 2. Write and solve equations for proportional relationships 3. Find the constant of proportionality from a table
Step 1: Solve problems with direct proportion (R)
1. Identify proportional relationships from tables 2. Write and solve equations for proportional relationships 3. Find the constant of proportionality from a table

Step 2: Direct proportion and conversion graphs (R)		1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Complete a table and graph a proportional relationship Also consider: • Identify proportional relationships from graphs and equations • Graph proportional relationships • Interpret graphs of proportional relationships
Step 2: Direct proportion and conversion graphs (R)
1. Identify proportional relationships by graphing 2. Find the constant of proportionality from a graph 3. Complete a table and graph a proportional relationship Also consider: • Identify proportional relationships from graphs and equations • Graph proportional relationships • Interpret graphs of proportional relationships

Step 3: Solve problems with inverse proportion		1. Write inverse variation equations 2. Write and solve inverse variation equations
Step 3: Solve problems with inverse proportion
1. Write inverse variation equations 2. Write and solve inverse variation equations

Step 4: Graphs of inverse relationships (H)		1. Identify direct variation and inverse variation
Step 4: Graphs of inverse relationships (H)
1. Identify direct variation and inverse variation

Step 5: Solve ratio problems given the whole or a part (R)		1. Identify equivalent ratios 2. Write an equivalent ratio 3. Equivalent ratios: word problems
Step 5: Solve ratio problems given the whole or a part (R)
1. Identify equivalent ratios 2. Write an equivalent ratio 3. Equivalent ratios: word problems

Step 6: Solve best buy problems		1. Unit rates
Step 6: Solve best buy problems
1. Unit rates

Step 7: Solve problems involving ratio and algebra (H)		1. Do the ratios form a proportion: word problems 2. Solve proportions 3. Solve proportions: word problems Also consider: • Do the ratios form a proportion?
Step 7: Solve problems involving ratio and algebra (H)
1. Do the ratios form a proportion: word problems 2. Solve proportions 3. Solve proportions: word problems Also consider: • Do the ratios form a proportion?
Block 3 - Rates
Step 1: Solve speed, distance and time problems without a calculator
Step 1: Solve speed, distance and time problems without a calculator


Step 2: Solve speed, distance and time problems with a calculator
Step 2: Solve speed, distance and time problems with a calculator


Step 3: Use distance-time graphs
Step 3: Use distance-time graphs


Step 4: Solve problems with density, mass and volume		1. Calculate density, mass and volume
Step 4: Solve problems with density, mass and volume
1. Calculate density, mass and volume

Step 5: Solve flow problems and their graphs
Step 5: Solve flow problems and their graphs


Step 6: Rates of change and their units		1. Rate of change 2. Constant rate of change
Step 6: Rates of change and their units
1. Rate of change 2. Constant rate of change

Step 7: Convert compound units		1. Convert square and cubic units of length 2. Convert between cubic metres and litres
Step 7: Convert compound units
1. Convert square and cubic units of length 2. Convert between cubic metres and litres
Block 4 - Probability
Step 1: Single event probability (R)		1. Probability of simple events 2. Probability of simple events and opposite events
Step 1: Single event probability (R)
1. Probability of simple events 2. Probability of simple events and opposite events

Step 2: Relative frequency - including convergence
Step 2: Relative frequency - including convergence


Step 3: Expected outcomes		1. Compound events: find the number of outcomes 2. Find the number of outcomes: word problems
Step 3: Expected outcomes
1. Compound events: find the number of outcomes 2. Find the number of outcomes: word problems

Step 4: Independent events		1. Probability of compound events
Step 4: Independent events
1. Probability of compound events

Step 5: Use tree diagrams (H)
Step 5: Use tree diagrams (H)


Step 6: Use tree diagrams to solve without replacement problems (H)
Step 6: Use tree diagrams to solve without replacement problems (H)


Step 7: Use diagrams to work out probabilities		1. Find probabilities using two-way frequency tables
Step 7: Use diagrams to work out probabilities
1. Find probabilities using two-way frequency tables
Block 5 - Algebraic Representation
Step 1: Draw and interpret quadratic graphs		1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations 3. Complete a function table: quadratic functions
Step 1: Draw and interpret quadratic graphs
1. Characteristics of quadratic functions: graphs 2. Characteristics of quadratic functions: equations 3. Complete a function table: quadratic functions

Step 2: Interpret graphs, including reciprocal and piece-wise		1. Match exponential functions and graphs I
Step 2: Interpret graphs, including reciprocal and piece-wise
1. Match exponential functions and graphs I

Step 3: Investigate graphs of simultaneous equations (H)		1. Is (x, y) a solution to the simultaneous equations? 2. Solve simultaneous equations by graphing 3. Solve simultaneous equations by graphing: word problems 4. Find the number of solutions to simultaneous equations by graphing
Step 3: Investigate graphs of simultaneous equations (H)
1. Is (x, y) a solution to the simultaneous equations? 2. Solve simultaneous equations by graphing 3. Solve simultaneous equations by graphing: word problems 4. Find the number of solutions to simultaneous equations by graphing

Step 4: Represent inequalities		1. Does (x, y) satisfy the inequality? 2. Linear inequalities: solve for y 3. Graph a linear inequality in the coordinate plane 4. Linear inequalities: word problems
Step 4: Represent inequalities
1. Does (x, y) satisfy the inequality? 2. Linear inequalities: solve for y 3. Graph a linear inequality in the coordinate plane 4. Linear inequalities: word problems

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