Topics

Exploring plus & minus
Addition strategies
Adding in columns
Subtraction strategies
Subtracting in columns

Patterns in multiplication
Multiplying by 10s, 100s, 1000s
Multiplication strategies
Exploring division
Dividing larger numbers
Mixed operations
Primes & composites

Understanding fractions
Which fractions are the same size?
Improper fractions & mixed numerals
Whole numbers & fractions
Adding & subtracting like fractions

10ths, 100ths & 1000ths
Comparing decimals
Adding decimals
Subtracting decimals
Mult & div decimals by 10, 100, 1000
Exploring percentages
Percentages-decimals-fractions

Numbers in designs
Number patterns
Mystery number sentences

The language of angles
Measuring & drawing angles
Triangles
Quadrilaterals
Exploring polygons

Naming 3D shapes
Drawing 3D shapes
Nets
Different views

Units of length
Measuring & recording lengths
Converting units of length
Perimeter

Units of area
Area of rectangles & squares
Area of triangles

Measuring volume
Volume of rectangular prisms
Measuring capacity
Linking litres & cubes

Units of mass
Measuring & recording masses
Converting units of mass

Calendars & timelines
Clock times
Measuring & calculating time
Timetables

Using scale
Grid coordinates
Compass directions

Describing chance
What is the chance?
Chancy tasks

Average (mean)
Picture & column graphs
Reading divided bar graphs
Introducing sector (pie) graphs
Line graphs

Base 10 & other bases
Exploring Roman numerals
Negative numbers

Multiplying by two digits
Dealing with remainders
Order of operations

Comparing fractions
Add & subtract related fractions
Fractions of a group
Multiples of fractions

Multiplying decimals
Dividing decimals
Calculating with percentages

Writing rules
Rules to patterns
Unknown numbers

Circles
Symmetry
Enlarging & reducing

Comparing perimeter & area
Surface area
Calculations using mass

Number patterns
Factors & multiples
Highest common factor (HCF)
Lowest common multiple (LCM)
Divisibility tests
Prime & composite numbers
Factor trees
HCF & LCM for large numbers
Square roots
Cube roots

What is a fraction?
Improper versus mixed
Equivalent fractions
Comparing & ordering fractions
This as a fraction of that
Adding & subtracting fractions
Adding & subtracting mixed numerals
Multiplying fractions
Multiplying mixed numerals
Dividing by simple fractions
Divisions involving fractions
From a fraction to the whole

What is the point?
Changing decimals to fractions
Changing fractions to decimals
Ordering decimals
Adding & subtracting decimals
Multiplying & squaring decimals
Strategies for decimal divisions
Rounding decimals
Introducing recurring decimals
Money

Percentages as fractions
Writing fractions as percentages
Linking percentages & decimals
Fractions/decimals/percentages

Percentage of a quantity
One amount as a percentage of another
Percentage increase & decrease
Profit & loss
Finding the whole amount

What are directed numbers?
Adding & subtracting positive integers
Two signs together
Multiplying integers
Dividing integers
Mixing the operations

What is a ratio?
Using ratios
Scales expressed as ratios
Introducing rates

What is algebra?
Algebra pictures
Words into algebra
Substitution
Picture patterns & pronumerals
Number patterns & pronumerals
Patterns on the number grid
Adding & subtracting terms
Multiplying & dividing terms
Equivalent expressions

Linking algebra & number rules
Removing grouping symbols
Introducing factorising
Algebraic fractions
Formulas in spreadsheets

Working backwards
Keeping the balance
Guess, check & improve
A formal approach
Equations to solve problems
Equations & formulas
Introducing inequalities

The first quadrant
All four quadrants
Graphs from equations
Equations from lines
Comparing lines & equations
Intersecting lines

Units of time
Time calculations
Time zones

Length
Perimeter problems
Formula for area of a rectangle
Formula for area of a triangle
Areas of parallelograms
Converting area units & estimating

Volume, capacity & prisms
Volume of any prism
Surface area of prisms

What is Pythagoras' theorem?
Length of the hypotenuse
Length of any side
Pythagoras, perimeter & area

Pi & the circumference
Area of a circle
Volume of a cylinder

Translation
Reflection & symmetry
Rotation & symmetry

Points, lines & angles
Some angle relationships
Angles in parallel lines

Plane shapes
Classifying triangles
Angle sum of a triangle
Exterior angles of triangles

Angle sum of a quadrilateral
Exploring trapeziums & kites
Exploring parallelograms & rectangles
Exploring rhombuses & squares

Congruent shapes
Which shapes are similar?
Scale factors for similar figures

Bisecting angles & intervals
Constructing lines & angles

Faces, edges & vertices
Classifying solids
3D drawings & projections

The language of chance
Listing possible outcomes
Theoretical probability

Introducing sets
Comparing sets
Using Venn diagrams

Using sector graphs
Creating divided bar graphs
Scatter diagrams
Line, conversion & step graphs
Travel graphs
Frequency tables
Histograms & polygons
Grouping data
Dot plots
Stem-and-leaf plots
Graphs & spreadsheets

Exploring the mean
The mode, the median & range
Analysing dot plots
Analysing stem-and-leaf plots
Analysing tables

Wages & salaries
Extra earnings
Part-time work
Tax & other deductions
Budgeting

Best buys, discounts, sales tax
Buying on credit
Simple interest
Compound interest
Compound interest formula
Depreciation
Loans

Multiplying & dividing terms
Powers upon powers
Negative indices & reciprocals
Fractional indices & roots

Adding & subtracting fractions
Multiplying & dividing fractions
Expanding & simplifying
Factorising
Extending algebraic fractions
Using algebra

Solving linear equations
Equations with brackets
Equations with fractions
Problems & formulas
Inequalities
Extending inequalities

Graphs, tables or guess & check
Using the substitution method
Using the elimination method
Solving problems simultaneously

Reals, rationals & surds
Operations with surds
Rewriting surds
Binomial surds

Expanding binomial products
Factorising monic quadratics
Factorising non-monic quadratics
Special products & factors
Other factorisations
Simplifying using factors

How many solutions?
Solving using factors
Completing the square
The quadratic formula
Simultaneous quadratics

Midpoint
Distance using graphs
Gradient using graphs
Distance formula
Gradient formula

Slopes & intercepts
Tables to graph lines
Reading the equation
Gradient-intercept graphs
Determining the equation

Plotting curves
Parabolas
Hyperbolas

Perimeters & arcs
Area of a kite & a rhombus
Area of a trapezium
Areas of parts of circles

Volumes of prisms & cylinders
Volumes of pyramids
Volumes of cones
Volumes of spheres

Surface areas of prisms
Surface areas of cylinders
Surface areas of pyramids
Surface areas of cones & spheres

Naming the sides
The tangent ratio
Using the tangent ratio
The sine & cosine ratios
Side lengths using any ratio
Calculating angles
Applying trigonometry

Splitting the degree
Sides & angles
What are bearings?
Using bearings

The unit circle
Related ratios
Trig relationships
Area using trig
Sine rule
Cosine rule

Angles in polygons
Tests for congruent triangles
Writing reasons
Similar triangles

Relative frequency
Using relative frequency
Calculating probability

Cumulative frequency
Cumulative frequency histograms
Grouping data

Centres for grouped data
Box-and-whisker plots
Standard deviation & distribution

Distance/time graphs
Other line graphs
Graphs with curves

2.1 Points, lines & angles
2.2 Measuring angles
2.3 Angles at a point
2.4 Transversals & parallel lines
2.6 Circles & constructions
2.7 Dynamic geometry

3.1 Factors & multiples
3.2 HCF & LCM: A HCF
3.2 HCF & LCM: B LCM
3.3 Divisibility
3.4 Prime numbers
3.5 Powers
3.6 Prime decomposition
3.7 Squares & square roots
3.8 Number patterns
3.9 Spatial patterns
3.11 Number plane & graphs

4.1 What are fractions? A Intro
4.1 What are fractions? B
4.2 Equivalence & simplifying
4.3 Mixed numbers
4.4 Ordering fractions
4.5 Add fractions A Proper fractions
4.5 Add fractions B Mixed numerals
4.7 Multiply fractions A Proper frac
4.7 Multiply fractions B Mixed numerals
4.8 Dividing fractions A
4.8 Dividing complex fractions B
4.9 Fractions & percent A Frac to %
4.9 Fractions & percent B % to frac
4.10 Percentage of a number A
4.10 Percentage B Profit & loss
4.11 Express as proportion

5.1 Intro to algebra A
5.1 Intro to algebra B Words
5.1 Intro to algebra C Pictures
5.2 Evaluating expressions
5.3 Equivalent expressions
5.4 Like terms
5.5 Multiply & divide expressions
5.6 Expanding brackets

6.1 Decimal PV A Place value
6.1 Decimal PV B Ordering
6.2 Rounding decimals
6.3 Add & subtract decimals
6.4 Multiply & divide by powers of 10
6.5 Multiply decimals
6.6 Division of decimals
6.7 Decimals to fractions A
6.7 Fractions to decimals B
6.8 Decimals & percentages

7.1 Integers
7.2 Add & subtract positive integers
7.3 Add & subtract negative integers
7.4 Multiply integers A
7.4 Divide integers B
7.5 Order of operations
7.7 Number plane A 1st quadrant
7.7 Number plane B All quadrants

8.1 Summarise data A Mean
8.1 Summarise data B Other
8.2 Dot plots & columns A Dot plots
8.2 Dot plots & columns B Analyse
8.2 Dot plots & columns C Columns
8.3 Line graphs
8.4 Stem-and-leaf plots A Draw
8.4 Stem-and-leaf plots B Analyse
8.5 Pie & div bars A Pie charts
8.5 Pie & div bars B Div bar graphs
8.6 Describing chance
8.7 Theoretical prob A Outcomes
8.7 Theoretic probability B

9.1 Polygons
9.2 Triangles
9.3 Constructing triangles
9.4 Triangle angle sum
9.5 Quads A Trapeziums & kites
9.5 Quads B Parallelograms & rects
9.5 Quads C Rhombuses & squares
9.6 Quadrilateral angle sum
9.7 Symmetry
9.8 Reflection & rotation A Reflect
9.8 Reflection & rotation B Rotate
9.9 Translation
9.10 Drawing solids
9.11 Nets/Platonic solids A Nets
9.11 Nets/Platonic solids B Classify

10.1 Intro to equations
10.2 Solve equations by inspection
10.3 Equivalent equations
10.4 Solve equations algebraically
10.5 Equations with fractions
10.6 Equations with brackets
10.7 Formulas & relations
10.8 Applications

11.1 Measurement systems
11.3 Perimeter
11.4 Areas & rectangles A Formula
11.4 Areas & rectangles B Units
11.5 Area of a triangle
11.6 Area of a parallelogram
11.8 Volume rectangular prisms
11.9 Capacity A Measuring
11.9 Capacity B Litres-cubes
11.10 Mass & temp A Measure mass
11.10 Mass & temp B Units of mass

2.1 Angles at a point
2.2 Parallel lines
2.3 Triangles A Classifying
2.3 Triangles B Angle sum
2.3 Triangles C Exterior angle
2.4 Unique triangles
2.5 Quads A Angle sum
2.5 Quads B Trapeziums & kites
2.5 Quads C Parallelograms & rects
2.5 Quads D Rhombuses & squares
2.6 Polygons
2.7 Solids A Classifying shapes
2.7 Solids B Euler's rule

3.1 Equivalent fractions
3.2 Operations with frac A Add
3.2 Operations with frac B Add mixed
3.2 Operations with frac C Multiply
3.2 Operations with frac D Mult mixed
3.2 Operations with frac E Divide 1
3.2 Operations with frac F Divide 2
3.4 Understand decimals A Place value
3.4 Understand decimals B Dec to frac
3.4 Understand decimals C Frac to dec
3.4 Understand decimals D Ordering
3.5 Operate with decimals A Add & sub
3.5 Operate with decimals B Multiply
3.5 Operate with decimals C Divide
3.6 Terminate & recur A Rounding
3.6 Terminate & recur B Recurring
3.7 Percentages
3.8 Percentages A Find % of
3.8 Percentages B Express as %
3.9 Decrease & increase by %
3.11 Percentages: unitary method

4.1 Length & perimeter A Length
4.1 Length & perimeter B Perimeter
4.2 Circumference of circle
4.3 Area A Convert units
4.3 Area B Rectangles & squares
4.3 Area C Formula for triangle
4.4 Area of quads A Parallelograms
4.4 Area of quads B Kites & rhombuses
4.4 Area of quads C Trapeziums
4.5 Area of a circle
4.6 Sectors & composite shapes
4.7 Surface area of a prism
4.8 Volume & capacity
4.9 Volume A Any prism
4.9 Volume B Cylinders
4.10 Time A Units
4.10 Time B Calculations
4.10 Time C Time zones
4.11 Intro to Pythagoras
4.12 Using Pythagoras
4.13 Find length of shorter side A
4.13 Find shorter side B Problems

5.1 The language of algebra
5.2 Substitution A
5.2 Substitution B Equiv expressions
5.3 Add & subtract terms
5.4 Multiply & divide terms
5.5 Add/sub algebraic frac A Intro
5.5 Add/sub algebraic frac B
5.6 Multiply/divide algebraic fractions
5.7 Expanding brackets
5.8 Factorising expressions
5.9 Applying algebra
5.10 Index laws mult & div powers
5.11 Index laws raise powers

6.1 Introducing ratios
6.3 Dividing in given ratio
6.4 Scale drawings
6.5 Introducing rates
6.8 Speed

7.1 Equations review
7.2 Equivalent equations
7.3 Equations with fractions
7.4 Variables on both sides
7.5 Equations with brackets
7.6 Formulas & relations
7.7 Applications
7.8 Inequalities
7.9 Solving inequalities A
7.9 Solving inequalities B

8.1 Interpret graphs A Columns
8.1 Interpret graphs B Divided bars
8.1 Interpret graphs C Sector (Pie)
8.1 Interpret graphs D Line graphs
8.2 Frequency tables & tally
8.3 Histograms
8.4 Measures of centre
8.5 Measures of spread
8.7 Probability
8.10 Venn diags & 2-way tb A
8.10 Venn diags & 2-way tb B

9.1 The number plane
9.2 Rules, tables & graphs
9.3 Finding rule using table
9.4 Gradient
9.5 y = mx + c A Read equations
9.5 y = mx + c B Determine equations
9.6 The x-intercept
9.8 Non-linear graphs

10.1 Reflection
10.2 Translation
10.3 Rotation
10.4 Congruent figures
10.5 Congruent triangles
10.6 Similar figures A Define
10.6 Similar figures B Scale factors
10.7 Similar triangles