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Year 3

Algebra

Level 1 - Find the missing digit in an addition and subtraction
Level 2 - Find the missing digit in an addition and subtraction
Object patterns
Level 1 - Patterns of planar shapes
Level 2 - Patterns of planar shapes
Level 1 - Solving word problems involving an unknown
Level 2 - Solving word problems involving an unknown
Level 3 - Solving word problems involving an unknown
An unknown in multiplication and division number sentences
Multi-step problems - Follow multiple operations
Multi-step problems - Apply operations backwords

Coordinate geometry

Location on a grid
Level 1 - Navigating a grid
Level 2 - Navigating a grid
Level 3 - Navigating a grid

Geometry

Identify appropriate units of measurement
Unit conversion
Identify geometric shapes
Angle as a portion
Level 1 - Types of angles
Level 2 - Types of angles
Level 3 - Types of angles
Angles on a compass
Count sides and vertices of geometric shapes
Identify three dimensional shapes
Identify shape patterns
Find the area by counting squares
Making rectangles and squares
Count faces, edges and vertices of three-dimensional shapes
Level 1 - Projections of three-dimensional shapes
Level 2 - Projections of three-dimensional shapes
Cross sections of three-dimensional shapes
Nets of three-dimensional shapes
Lines of symmetry
Reflection and rotation

Numbers

Identify even and odd numbers
Problems involving even and odd numbers
Addition and subtraction of even and odd numbers
Grouping even collection of objects
Number place value
Express numbers in words
Compare numbers
Add and subtract whole numbers
Level 1 - Find the missing digit in an addition or a subtraction
Level 2 - Find the missing digit in an addition or a subtraction
Partitioning and regrouping numbers
Round whole numbers
Estimate addition by rounding whole numbers
Level 1 - Numbers on a number line
Level 2 - Numbers on a number line
Multiplication by grouping numbers
Writing multiplication as an addition number sentence
Multiplication using number sequences
Multiplication of two numbers
Multiplication of three numbers
Missing digit in a multiplication
Word problems on multiplication and division
Word problems on addition, subtraction, multiplication and division
Division by a one-digit number
Largest or smallest number from a set of digits
Understanding unit fractions
Level 1 - Understanding fractions
Level 2 - Understanding fractions
Level 3 - Understanding fractions
Fractions on the number line
Level 1 - Word problems on fractions
Level 2 - Word problems on fractions
Choose the correct number expression
Decimal numbers
Arrange decimal numbers
Weights on a scale
Complete a number pattern
Level 1 - Understanding patterns
Level 2 - Understanding patterns
Skip counting
Financial mathematics - Dollars and cents
Level 1 - Financial mathematics - Equivalent amounts
Level 2 - Financial mathematics - Equivalent amounts
A Tale Of Two Numbers
Two numbers walk into a classroom
I spy with my little eye
I spy with both my little eyes
The baby invasion
The Labubu invasion
Challenge - Six-seveeeen
Challenge - Number patterns
Challenge - Magic triangles
Challenge - How many numbers have a given digit
Challenge - Level 1 - Addition and subtraction with unknown digits
Challenge - Level 2 - Addition and subtraction with unknown digits

Probability

Level 1 - Identify the likelihood of events
Level 2 - Identify the likelihood of events

Statistics

Level 1 - Understand tabular data
Level 1 - Picture graphs

Time and date

Time conversion
Reading the clock
Elapsed time

Year 4

Algebra

Level 1 - Find the missing digit in an addition and subtraction
Level 2 - Find the missing digit in an addition and subtraction
Object patterns
Level 1 - Patterns of planar shapes
Level 2 - Patterns of planar shapes
Level 1 - Solving word problems involving an unknown
Level 2 - Solving word problems involving an unknown
Level 3 - Solving word problems involving an unknown
An unknown in multiplication and division number sentences
Multi-step problems - Follow multiple operations
Multi-step problems - Apply operations backwords
Equations and unknowns
Patterns and rules
Function machines and rules
Algebra word problems

Geometry

Identify appropriate units of measurement
Unit conversion
Identify geometric shapes
Angle as a portion
Level 1 - Types of angles
Level 2 - Types of angles
Level 3 - Types of angles
Angles on a compass
Count sides and vertices of geometric shapes
Areas and perimetres of squares and rectangles
Identify three dimensional shapes
Identify shape patterns
Find the area by counting squares
Making rectangles and squares
Count faces, edges and vertices of three-dimensional shapes
Level 1 - Projections of three-dimensional shapes
Level 2 - Projections of three-dimensional shapes
Cross sections of three-dimensional shapes
Nets of three-dimensional shapes
Lines of symmetry
Reflection and rotation

Numbers

Identify even and odd numbers
Addition and subtraction of even and odd numbers
Grouping even collection of objects
Problems involving even and odd numbers
Compare numbers
Level 1 - Numbers on a number line
Level 2 - Numbers on a number line
Number lines and integers
Round whole numbers
Estimate addition by rounding whole numbers
Express numbers in words
Number place value
Add and subtract whole numbers
Level 1 - Find the missing digit in an addition or a subtraction
Level 2 - Find the missing digit in an addition or a subtraction
Find the missing digit after addition or subtraction
Partitioning and regrouping numbers
Find the missing number in an addition or subtraction
Word problems on addition and subtraction
Multiplication of two numbers
Multiplication of three numbers
Missing digit in a multiplication
Word problems on multiplication of two numbers
Word problems on multiplication and division
Word problems on addition, subtraction, multiplication and division
Choose the correct number expression
Weights on a scale
Skip counting
Skip counting backwards
Factors and multiples
Decimals: tenths and hundredths
Arrange decimal numbers
Round decimal numbers to the nearest whole number
Identify prime numbers
Compare numbers
Divisibility by a number
Divisibility word problems
Division by a one-digit number
Fractions
Compare a decimal number and a fraction
Understanding unit fractions
Level 1 - Understanding fractions
Level 2 - Understanding fractions
Level 3 - Understanding fractions
Proper and improper fractions
Mixed fractions
Level 1 - Word problems on fractions
Level 2 - Word problems on fractions
Level 3 - Word problems on fractions
Largest or smallest number from a set of digits
Complete a number pattern
Roman numerals
Large Roman numerals
Level 1 - Understanding patterns
Level 2 - Understanding patterns
Financial mathematics - Dollars and cents
Level 1 - Financial mathematics - Equivalent amounts
Level 2 - Financial mathematics - Equivalent amounts
Challenge - Six-seveeeen
A Tale Of Two Numbers
Two numbers walk into a classroom
I spy with my little eye
I spy with both my little eyes
I spy with both my little eyes a little longer
The baby invasion
The Labubu invasion
Challenge - Number patterns
Challenge - Magic triangles
Challenge - How many numbers have a given digit
Challenge - Level 1 - Addition and subtraction with unknown digits
Challenge - Level 2 - Addition and subtraction with unknown digits
Challenge - Complete the magic square
Challenge - Sudoku
Challenge - Catch the numbers

Probability

Level 1 - Identify the likelihood of events
Level 2 - Identify the likelihood of events
Probabilities as fractions, decimals and percentages
Chance experiments
Chance in everyday contexts

Statistics

Level 1 - Understand tabular data
Level 1 - Picture graphs

Time and date

Time conversion
Reading the clock
Elapsed time

Year 5

Algebra

Level 1 - Find the unknown in an equation
Level 1 - Solve word equations
Level 2 - Solve word equations
Patterns and rules
Simplifying expressions
Solving simple equations
Substitution and evaluating expressions
Algebra word problems

Coordinate geometry

Identify coordinates of points on a plane

Geometry

Areas and perimetres of squares and rectangles
Length and area conversions
Calculate the properties of basic planar shapes
Find the area by counting squares
Lines of symmetry
Rotational symmetry
Reflection and rotation of objects
Projections of three-dimensional shapes
Area and perimeter of shapes
Angles
Volume and capacity
Properties of shapes

Numbers

Level 1 - Numbers on a number line
Level 2 - Numbers on a number line
Express numbers in words
Number place value
Round whole numbers
Compare numbers
Add and subtract whole numbers
Level 1 - Find the missing digit in an addition or a subtraction
Level 2 - Find the missing digit in an addition or a subtraction
Find the missing number in an addition or subtraction
Word problems on addition and subtraction
Round whole numbers
Estimate addition by rounding whole numbers
Challenge - Number patterns
Challenge - Magic triangles
Challenge - Complete the magic square
Multiplication by grouping numbers
Writing multiplication as an addition number sentence
Multiplication using number sequences
Multiplication of two numbers
Choose the correct number expression
Word problems on multiplication of two numbers
Multiplication of three numbers
Word problems on divisibility
Division by a one-digit number
Word problems on addition, subtraction, multiplication and division
Evaluate percentages
Identify prime numbers
Identify factors
Highest common factor and lowest common multiple
Round decimal numbers to the nearest whole number
Level 1 - Decimal numbers on a number line
Level 2 - Decimal numbers on a number line
Level 3 - Decimal numbers on a number line
Arrange decimal numbers
Compare decimal numbers
Compare a decimal number and a fraction
Add and subtract decimal numbers
Apply order of operations to simple expressions
Unit fractions
Fractions on the number line
Level 1 -Understanding fractions
Level 2 -Understanding fractions
Proper and improper fractions
Level 1 - Fraction of a shape
Level 2 - Fraction of a shape
Level 3 - Fraction of a shape
Level 1 - Simplify fractions
Level 2 - Simplify fractions
Level 1 - Identify equivalent fractions
Level 2 - Identify equivalent fractions
Level 1 - Word problems on fractions
Level 2 - Word problems on fractions
Level 3 - Word problems on fractions
Level 1 - Largest or smallest number from a set of digits
Level 2 - Largest or smallest number from a set of digits
Complete a number pattern
Roman numerals
Large Roman numerals
Challenge - Six-seveeeen
Level 1 - I spy with my little eye
Level 2 - I spy with my little eye
Challenge - Sudoku
Challenge - Level 1 - Find the right arithmetic operations
Challenge - Level 2 - Find the right arithmetic operations
Challenge - How many numbers have a given digit
Challenge - Level 1 - Addition and subtraction with unknown digits
Challenge - Level 2 - Addition and subtraction with unknown digits
Decimals: tenths, hundredths
Addition and subtraction of integers

Probability

Level 1 - Identify the likelihood of events
Level 2 - Identify the likelihood of events
Chance language
Simple probability
Experimental probability
Sample space

Statistics

Level 1 - Understand tabular data
Level 1 - Dot charts

Time and date

Time in 12-hour and 24-hour formats
Elapsed hours in 12-hour format
Time conversion
Find number of days between two week days
Find day of week after a number of days
Elapsed time

Year 6

Algebra

Evaluate algebraic expressions
Simplify algebraic expressions
Understanding coefficients
Numeric substitution in algebraic expressions
Level 1 - Solve simple equations
Level 2 - Solve simple equations
Level 3 - Solve simple equations
Level 1 - Simple equations with brackets
Level 2 - Simple equations with brackets
Level 1 - Solve word equations
Level 2 - Solve word equations
Inequalities
Patterns

Coordinate geometry

Identify coordinates of points on a plane

Geometry

Identify acute and obtuse angles
Find the unknown angle
Length and area conversions
Find the area by counting squares
Perimeter and area
Lines of symmetry
Reflection and rotation of objects
Projections of three-dimensional shapes
Volume and capacity
The circle

Numbers

Numbers on a number line
Level 1 - Negative integers on a number line
Level 2 - Negative integers on a number line
Express numbers in words
Express bigger numbers in words
Number place value
Find the missing number in an addition or subtraction
Find the missing digit after addition or subtraction
Challenge - Complete the magic square
Multiplication of two numbers
Word problems on multiplication of two numbers
Multiplication of three numbers
Divisibility by a number
Word problems on divisibility
Division by a one-digit number
Division by a two-digit number
Percentages
Evaluate percentages
Level 1 - Order fractions
Level 2 - Order fractions
Word problems on addition, subtraction, multiplication and division
Level 1 - Word problems on fractions
Level 2 - Word problems on fractions
Evaluate exponents
Identify prime numbers
Identify factors
Triangular numbers
Highest common factor and lowest common multiple
Decimals
Round decimal numbers to the nearest whole number
Arrange decimal numbers
Add and subtract decimal numbers
Word problems on decimal addition and subtraction
Apply order of operations to simple expressions
Order of operations
Complete a number pattern
Add and subtract fractions
Identify equivalent fractions
Ratio and rate
Rounding and estimating
Largest or smallest number from a set of digits
I spy with my little eye
I spy with both my little eyes
I spy with both my little eyes a little longer
Encoding and decoding
Challenge - Six-seveeeen
Challenge - Magic triangles
Challenge - Sudoku
Challenge - Level 1 - I think of a number
Challenge - Level 2 - I think of a number
Challenge - Number puzzles involving digits
Challenge - Level 1 - Addition and subtraction with unknown digits
Challenge - Level 2 - Addition and subtraction with unknown digits
Challenge - Level 1 - Find the right arithmetic operations
Challenge - Level 2 - Find the right arithmetic operations

Probability

Level 1 - Identify the probability of events
Level 2 - Identify the probability of events
Probability of simple events
Probability language
Theoretical probability
Experimental probability
Compound events

Statistics

Understanding bar charts
Understanding dot charts
Understanding pie charts
Mean, median, maximum, minimum and range of data

Time and date

Find number of days between two week days
Find day of week after a number of days
Elapsed time

Year 7

Algebra

Level 1 - coefficients and constants
Level 2 - coefficients and constants
Level 3 - coefficients and constants
Level 1 - Simplification and expansion of algebraic expressions
Level 2 - Simplification and expansion of algebraic expressions
Level 3 - Simplification and expansion of algebraic expressions
Numeric substitution in simple algebraic expressions
Numeric substitution in algebraic expressions
Symbolic substitution in algebraic expressions
Solve simple linear equations
Solve linear equations
Level 1 - Solve word equations
Level 2 - Solve word equations
Solve inequalities in a single variable

Coordinate geometry

Identify coordinates of points on a plane
Identify quadrants

Geometry

Find the unknown angle
Length and area conversions
Calculate the properties of basic planar shapes
Level 1 - Find the area by counting squares
Level 2 - Find the area by counting squares
Lines of symmetry
Pythagoras theorem
Level 1 - Transformation of objects
Level 2 - Transformation of objects
Level 1 - Count composite shapes
Level 2 - Count composite shapes

Numbers

Express numbers in expanded form
Level 1 - Find the missing digit in a multiplication
Level 2 - Find the missing digit in a multiplication
Multiplication laws
Word problems on addition, subtraction, multiplication and division
Order rational numbers
Arrange decimal numbers
Compare decimal numbers
Compare a decimal number and a fraction
Add and subtract decimal numbers
Multiply decimal numbers
Recurring decimals
Complete a number pattern
Identifying multiples
Identify relatively prime numbers
Identify equivalent fractions
Largest or smallest number from a set of digits
Identify prime numbers
Prime numbers within a range of numbers
Prime factorisation
Simplify fractions
Word problems on fractions
Evaluate percentages
Convert decimal to fraction
Convert decimal to percentage
Convert percentage to decimal
Percentage change
Apply order of operations to simple expressions
Order of operations
Highest common factor and lowest common multiple
Evaluate exponents
Challenge - Level 1 - I think of a number
Challenge - Level 2 - I think of a number
Challenge - Magic triangles
Finding values based on ratios
Encoding and decoding
Challenge - Level 1 - Fractions and shapes
Challenge - Level 2 - Fractions and shapes
Challenge - Level 1 - Finding numbers from a set of digits
Challenge - Level 2 - Finding numbers from a set of digits
Challenge - Largest or smallest divisible number from a set of digits
Challenge - Number puzzles involving digits
Challenge - Level 1 - Find the right arithmetic operations
Challenge - Level 2 - Find the right arithmetic operations
Challenge - Level 3 - Find the right arithmetic operations
Challenge - Level 1 - Finding the missing number in a pattern
Challenge - Level 2 - Finding the missing number in a pattern
Challenge - Sudoku
Challenge - Complete the magic square
Challenge - Level 1 - Patterns of shapes
Challenge - Level 2 - Patterns of shapes

Probability

Probability of simple events

Statistics

Understanding bar charts
Understanding pie charts
Mean, median, maximum, minimum and range of data

Time and date

Find number of days between two week days
Find day of week after a number of days
Elapsed time
Time planning

Year 8

Algebra

Level 1 - Simplification and expansion of algebraic expressions
Level 2 - Simplification and expansion of algebraic expressions
Level 3 - Simplification and expansion of algebraic expressions
Level 1 - Simplification of rational algebraic expressions
Level 2 - Simplification of rational algebraic expressions
Simplification of algebraic expressions involving integer indices
Numeric substitution in algebraic expressions
Symbolic substitution in algebraic expressions
Solve linear equations
Level 1 - Solve word equations
Level 2 - Solve word equations
Solve inequalities in a single variable

Coordinate geometry

Identify coordinates of points on a plane
Identify quadrants
Collinearity
Midpoint of a line
Level 1 - The distance between two points
Level 2 - The distance between two points
Understanding linear relationships
Level 1 - Transformation of points on a grid
Level 2 - Transformation of points on a grid

Discrete mathematics

Permutations
Combinations
Challenge - How to get home in bekomaze
Challenge - Tic-tac-toe

Geometry

Level 1 - Find the unknown angle
Level 2 - Find the unknown angle
Level 3 - Find the unknown angle
Level 1 - Solve an equation to find the unknown angle in a triangle
Level 2 - Solve an equation to find the unknown angle in a triangle
Pythagoras theorem
Congruent triangles
Length and area conversions
Calculate the properties of basic planar shapes
Level 1 - Calculate the properties of compound planar shapes
Level 2 - Calculate the properties of compound planar shapes
Level 1 - Circumference of a circle
Level 2 - Circumference of a circle
Calculate the properties of basic three-dimensional shapes
Properties of polygons
Calculate the volume of three-dimensional shapes
Level 1 - Object reflection and rotation
Level 2 - Object reflection and rotation
Congruent triangles
Similar triangles
Level 1 - Count composite shapes
Level 2 - Count composite shapes

Numbers

Multiplication laws
Highest common factor and lowest common multiple
Prime numbers
Prime numbers within a range of numbers
Prime factorisation
Identify equivalent fractions
Compare a decimal number and a fraction
Add and subtract decimal numbers
Multiply decimal numbers
Recurring decimals
Simplify fractions
Word problems on fractions
Order of operations
Evaluate expressions involving exponents
Simplification of square and cubic roots
Approximation of the square root
Approximation of the cube root
Find the total based on a ratio
Split a total based on a ratio
Finding values based on ratios
Level 1 - Finding values based on multiple ratios
Solving proportionality relationships
Evaluate percentages
Percentage change
Identify rational and irrational numbers
Largest or smallest number from a set of digits
Encoding and decoding
Challenge - Level 1 - I think of a number
Challenge - Level 2 - I think of a number
Challenge - Level 1 - Find integer solutions to linear equations
Challenge - Level 2 - Find integer solutions to linear equations
Challenge - Level 1 - Find the right arithmetic operations
Challenge - Level 2 - Find the right arithmetic operations
Challenge - Level 3 - Find the right arithmetic operations
Challenge - Level 1 - Finding the missing number in a pattern
Challenge - Level 2 - Finding the missing number in a pattern
Challenge - Prime factor decomposition
Challenge - Special numbers
Challenge - Sudoku

Probability

Probability of simple events
Probability of this or that
Level 1 - Probabilities in two-step experiments
Level 2 - Probabilities in two-step experiments

Set theory

Venn diagrams

Statistics

Understanding bar charts
Understanding pie charts
Histograms
Mean, median, maximum, minimum and range of data

Year 9

Algebra

Level 1 - Simplification and expansion of algebraic expressions
Level 2 - Simplification and expansion of algebraic expressions
Level 3 - Simplification and expansion of algebraic expressions
Level 1 - Factorisation
Level 2 - Factorisation
Level 1 - Simplification of rational algebraic expressions
Level 2 - Simplification of rational algebraic expressions
Level 1 - Addition and subtraction of rational expressions
Level 2 - Addition and subtraction of rational expressions
Level 3 - Addition and subtraction of rational expressions
Level 1 - Evaluate the exponent of an exponent
Level 2 - Evaluate the exponent of an exponent
Level 1 - Integer indices
Level 2 - Integer indices
Level 1 - Coefficients and constants
Level 2 - Coefficients and constants
Level 3 - Coefficients and constants
Factorise difference of squares
Level 1 - Factorising polynomials
Level 2 - Factorising polynomials
Level 3 - Factorising polynomials
Symbolic substitution in algebraic expressions
Solve linear equations
Linear equations involving fractions
Level 1 - Solve word equations
Level 2 - Solve word equations
Solve symbolic linear equations
Solve inequalities in a single variable
Level 1 - Solve the quadratic equation by factorisation
Level 2 - Solve the quadratic equation by factorisation
Solving simultaneous linear equations

Coordinate geometry

Identify coordinates of points on a plane
Level 1 - Rotation of a point on a grid
Level 2 - Rotation of a point on a grid
Level 1 - Rotation of a line on a grid
Level 1 - Rotation of a triangle on a grid
Level 2 - Rotation of a triangle on a grid
Level 1 - Transformation of a points on a plane
Level 2 - Transformation of a points on a plane
Level 1 - Transformation of a shape on a grid
The gradient of a line
Decide if a point is on a line
Midpoint of a line
Level 1 - Distance between points on a line and the midpoint
Level 2 - Distance between points on a line and the midpoint
Coordinates of the midpoint of a line
Coordinates of points on a line
Linear intercepts
Properties of the parabola

Discrete mathematics

Permutations
Combinations
Challenge - How to get home in bekomaze
Challenge - Tic-tac-toe

Geometry

Parallel and non-parallel lines
Level 1 - Find the unknown angle
Level 2 - Find the unknown angle
Level 3 - Find the unknown angle
Level 1 - Solve an equation to find the unknown angle in a triangle
Level 2 - Solve an equation to find the unknown angle in a triangle
Congruent triangles
Level 1 - Count composite shapes
Level 2 - Count composite shapes
Pythagoras theorem
Calculate the properties of basic planar shapes
Level 2 - Calculate the properties of basic planar shapes
Calculate the area of a triangle using Heron's formula
Properties of polygons
Deciding if a polygon is convex or concave
Level 1 - Calculate the properties of compound planar shapes
Level 1 - Circumference of a circle
Level 2 - Circumference of a circle
Calculate the properties of basic three-dimensional shapes
Calculate the area of a compound shape
Level 1 - Calculate the surface area of a pyramid
Level 2 - Calculate the surface area of a pyramid
Level 1 - Covering shapes with tiles
Congruent triangles
Similar triangles
Level 1 - Object reflection and rotation
Level 2 - Object reflection and rotation

Numbers

Recurring decimals
Level 1 - Addition and subtraction of negative numbers
Level 2 - Addition and subtraction of negative numbers
Highest common factor and lowest common multiple
Prime numbers
Prime numbers within a range of numbers
Simplify fractions
Simplification of square and cubic roots
Prime factorisation
Identify rational and irrational numbers
Evaluate expressions involving exponents
Level 1 - Scientific notation
Level 2 - Scientific notation
Evaluate percentages
Percentage change
Solving proportionality relationships
Finding values based on ratios
Challenge - Level 1 - Find integer solutions to linear equations
Challenge - Level 2 - Find integer solutions to linear equations
Challenge - Level 1 - Find the right arithmetic operations
Challenge - Level 2 - Find the right arithmetic operations
Challenge - Level 3 - Find the right arithmetic operations
Challenge - Level 1 - Finding the missing number in a pattern
Challenge - Level 2 - Finding the missing number in a pattern
Challenge - Count occurrence of digits
Challenge - How many numbers have a given set of digits
Challenge - Numeric sequences from geometric shapes
Challenge - Prime factor decomposition
Challenge - Special numbers
Challenge - Sudoku
Financial mathematics - Identify the best deal
Financial mathematics - Income and tax
Financial mathematics - Profit, loss, markup and discount
Financial mathematics - Simple interest
Financial mathematics - Compound interest

Probability

Probability of simple events
Probability of compound events
Level 1 - Probabilities in two-step experiments
Level 2 - Probabilities in two-step experiments
Challenge - Winning the tic-tac-toe

Set theory

Basic set operations
Venn diagrams
Venn diagrams and two-way tables

Statistics

Summary and spread of data
Understanding bar charts
Understanding stem-and-leaf plots
Stem-and-leaf plots of decimal data
Skewness of the stem-and-leaf plot
Level 1 - Understanding box plots
Level 2 - Understanding box plots
Understanding frequency tables
Understanding histograms
Skewness of histograms

Trigonometry

Conversions between radians and degrees
Evaluate trigonometric functions
Calculations involving bearings
Trigonometric functions and triangles

Year 10

Algebra

Arithmetic sequences
Geometric sequences
Coefficients and constants
Level 1 - Simplification and expansion of algebraic expressions
Level 2 - Simplification and expansion of algebraic expressions
Level 3 - Simplification and expansion of algebraic expressions
Level 1 - Simplification of rational algebraic expressions
Level 2 - Simplification of rational algebraic expressions
Level 1 - Addition and subtraction of rational expressions
Level 2 - Addition and subtraction of rational expressions
Level 3 - Addition and subtraction of rational expressions
Level 1 - Integer indices
Level 2 - Integer indices
Rational indices
Symbolic substitution in algebraic expressions
Solve linear equations
Linear equations involving fractions
Transposing formulas
Solve inequalities in a single variable
Word problems involving inequalities in a single variable
Level 1 - The quadratic equation discriminant
Level 2 - The quadratic equation discriminant
Level 1 - Solve the quadratic equation by factorisation
Level 2 - Solve the quadratic equation by factorisation
Level 3 - Solve the quadratic equation by factorisation
Quadratic models
Completing the square
Level 1 - Quadratic turning point
Level 2 - Quadratic turning point
Factorisation
Level 1 - Factorising polynomials
Level 2 - Factorising polynomials
Level 3 - Factorising polynomials
Long division of polynomials
Remainder and factor from long division of polynomials
Solving simultaneous linear equations
Simultaneous linear equations word problems

Coordinate geometry

Linear intercepts
Level 1 - Distance between points on a line and the midpoint
Level 2 - Distance between points on a line and the midpoint
The gradient of a line
Transformation of a line
Coordinates of points on a line
The parabola
Sketch the parabola
Level 1 - System of linear inequalities in two variables
Level 2 - System of linear inequalities in two variables
Intersection of two graphs
Level 1 - Coordinate of a point on a line given the length
Level 2 - Coordinate of a point on a line given the length
Coordinates of a planar shape from a line

Discrete mathematics

Permutations
Challenge - Permutations of digits in numbers
Combinations
Challenge - How to get home in bekomaze
Challenge - Tic-tac-toe

Exponentials and logarithms

Evaluation of logarithms
Simplification of logarithmic expressions
Equations involving exponents

Functions and relations

Definition of functions
Function domain and range
Intersection of two graphs

Geometry

Congruent triangles
Calculate the area of a compound shape
Level 1 - Circumference of a circle
Level 2 - Circumference of a circle
Angles in a circle
Level 1 - Calculate the properties of compound planar shapes
Calculate the properties of basic three-dimensional shapes
Level 1 - Calculate the surface area of a pyramid
Level 2 - Calculate the surface area of a pyramid
Covering shapes with tiles

Graph theory

Properties of vertices
Properties of graphs
Shortest path

Numbers

Identify prime numbers
Identify factors
Prime factorisation
Identify rational and irrational numbers
Simplification of square and cubic roots
Addition and subtraction of square roots
Approximation of the square root
Approximation of the cube root
Order of operations
Evaluate expressions involving exponents
Finding values based on ratios
Evaluate percentages
Challenge - Count occurrence of digits
Challenge - How many numbers have a given set of digits
Challenge - Numeric sequences from geometric shapes
Challenge - Prime factor decomposition
Challenge - Special numbers
Challenge - Level 1 - Find integer solutions to linear equations
Challenge - Level 2 - Find integer solutions to linear equations

Probability

Probability of simple events
Probability of compound events
Challenge - Winning the tic-tac-toe

Set theory

Basic set operations
Venn diagrams involving two sets
Venn diagrams and two-way tables

Statistics

Summary and spread of data
Understanding bar charts
Understanding pie charts
Understanding scatter plots
Understanding stem-and-leaf plots
Stem-and-leaf plots of decimal data
Skewness of the stem-and-leaf plot
Understanding frequency tables
Understanding histograms
Level 1 - Understanding box plots
Level 2 - Understanding box plots

Trigonometry

Conversions between radians and degrees
Calculations involving bearings
Angle of elevation and angle of depression
Evaluate trigonometric functions
Sketch trigonometric functions
Trigonometric functions and triangles
The sine and cosine laws
Trigonometric relations involving circles
Trigonometric relations involving complex geometric shapes

Year 11

Algebra

Simplification and expansion of algebraic expressions
Factorisation
Simplification of rational algebraic expressions
Symbolic substitution in algebraic expressions
Rewrite rational expressions
Solve linear equations
Greatest common divisor of algebraic expressions
Transposing formulas
Solving inequalities
Solving simultaneous linear equations
Simultaneous linear equations in three unknowns
Simultaneous linear equations in four unknowns
Simultaneous linear equations word problems
Level 1 - Integer indices
Level 2 - Integer indices
Level 3 - Integer indices
Level 1 - Rational indices
Level 2 - Rational indices
Factorising polynomials
Polynomial coefficients and constants
Level 1 - Solve the quadratic equation by factorisation
Level 2 - Solve the quadratic equation by factorisation
Level 3 - Solve the quadratic equation by factorisation
Completing the square
Level 1 - Quadratic turning point
Level 2 - Quadratic turning point
The general quadratic formula
Level 1 - The quadratic equation discriminant
Level 2 - The quadratic equation discriminant
Solving quadratic inequalities
Level 1 -Solving exponential inequalities
Level 2 -Solving exponential inequalities
Quadratic models
Level 1 - Long division of polynomials
Level 2 - Long division of polynomials
Level 3 - Long division of polynomials
Level 1 - Factorisation of the cubic equation
Level 2 - Factorisation of the cubic equation
Level 1 - The cubic equation
Level 2 - The cubic equation
Solving cubic inequalities
Partial sums of arithmetic series

Calculus

Evaluate limits of simple expressions
Evaluate limits of rational functions
Evaluate the average rate of change
Average rate of change word problems
Interpreting a tanget to a graph
Evaluation of a derivative at a point
Identify a differentiable function
Tangents and normals
Stationary points
Level 1 - Differentiation of polynomial functions
Level 2 - Differentiation of polynomial functions
Differentiation of polynomials raised to a power
Level 1 - Differentiation of fractions
Level 2 - Differentiation of fractions
Differentiation of surds
Level 1 - Applications of differentiation
Level 2 - Applications of differentiation
Level 3 - Applications of differentiation
Indefinite integration of polynomials
Definite integration
Application of integration for polynomial equations

Coordinate geometry

Linear intercepts
Level 1 - Distance between points on a line and the midpoint
Level 2 - Distance between points on a line and the midpoint
The gradient of a line
The gradient of the perpendicular to a line
Families of straight lines
Coordinates of points on a line
The equation of a straight line
Parallel and perpendicular lines
Linear intercepts
Linear models
The parabola
Level 1 - Intersection of a line and a parabola
Level 2 - Intersection of a line and a parabola
Level 1 - System of linear inequalities in two variables
Level 2 - System of linear inequalities in two variables
Rectangular hyperbolas
The truncus
The circle
The square root graph
Intersection of two graphs
Level 1 - Coordinate of a point on a line given the length
Level 2 - Coordinate of a point on a line given the length
Coordinates of a planar shape from a line
Image of a point

Discrete mathematics

Level 1 - Matrix addition and subtraction
Level 2 - Matrix addition and subtraction
Level 3 - Matrix addition and subtraction
Level 1 - Matrix multiplication
Level 2 - Matrix multiplication
Level 3 - Matrix multiplication
Level 1 - Matrix power
Level 2 - Matrix power
Level 1 - Matrix inverse
Level 2 - Matrix inverse
Level 3 - Matrix inverse
Matrix determinant
Vector arithmetic
Vector dot product
Counting addition and multiplication rules
Level 1 - Permutations
Level 2 - Permutations
Level 3 - Permutations
Level 1 - Permutations with repetition
Challenge - Permutations of digits in numbers
Level 1 - Combinations
Level 2 - Combinations
Level 3 - Combinations
Level 4 - Combinations
Recursive sequences
Challenge - How to get home in bekomaze
Challenge - Tic-tac-toe

Exponentials and logarithms

Evaluation of logarithms
Simplification of logarithmic expressions
Level 1 - Equations involving exponents
Level 2 - Equations involving exponents
Level 3 - Equations involving exponents
Level 1 - Using logarithms to solve equations involving exponents
Level 2 - Using logarithms to solve equations involving exponents

Functions and relations

Relation type
Domain and range of set relations
Level 1 - Domain and range of polynomial relations
Level 2 - Domain and range of polynomial relations
Definition of functions
Level 1 - Domain and range of polynomial functions
Level 2 - Domain and range of polynomial functions
Level 1 - Domain and range of rational functions
Level 2 - Domain and range of rational functions
Level 3 - Domain and range of rational functions
Level 4 - Domain and range of rational functions
Level 1 - Domain and range of square root functions
Level 2 - Domain and range of square root functions
Function continuity
Even and odd polynomial functions
Sketching polynomial functions
Sketching the cubic function
The cubic function of the form f(x)=a(x-h)3+k
Inverse functions
Sketch inverse functions
Piecewise-defined functions
Intersection of two graphs
Function transformation by translation
Function transformation by dilation and reflection
Combination of transformation
Matrix transformations
Identifying transformed polynomials
Composite functions

Geometry

Calculate the area of a compound shape
Angles in a circle

Graph theory

Properties of vertices
Properties of graphs
Types of graphs
Shortest path

Numbers

Percentage change
Challenge - Level 1 - Find integer solutions to linear equations
Challenge - Level 2 - Find integer solutions to linear equations
Challenge - Numeric sequences from geometric shapes
Challenge - Divisibility
Congruences
Challenge - Prime numbers

Probability

Sample spaces, events and outcomes
Probability of simple events
Estimating probabilities from data
Level 1 - Probability of simple and compound events
Level 2 - Probability of simple and compound events
Probabilities from Venn diagrams
The addition rule for probabilities
Conditional probability
Discrete probability distributions
Challenge - Winning the tic-tac-toe

Set theory

Basic set operations
Venn diagrams involving two sets
Venn diagrams involving three sets

Statistics

Summary and spread of data
Understanding bar charts
Understanding scatter plots
Understanding frequency tables
Understanding histograms

Trigonometry

Pythagoras theorem
Conversions between radians and degrees
Evaluate the sine and cosine functions
Evaluate trigonometric functions
Find amplitude, period and range of trigonometric functions
Sketch trigonometric functions
Find the unknown angle using trigonometric functions
General solution of trigonometric equations
The sine and cosine laws
Trigonometric relations involving circles
Trigonometric relations involving complex geometric shapes

Year 12

Algebra

Simplification and expansion of algebraic expressions
Simplification of rational algebraic expressions
Simplification of algebraic expressions involving integer indices
Simplification of algebraic expressions involving rational indices
Long division of polynomials
Simultaneous linear equations in three unknowns
Simultaneous linear equations in four unknowns
Simultaneous nonlinear equations
Partial sums of arithmetic series

Calculus

Evaluation of a derivative at a point
Level 1 - Differentiate using the chain rule
Level 2 - Differentiate using the chain rule
Level 1 - Apply the chain rule to composite functions
Level 2 - Apply the chain rule to composite functions
Level 3 - Apply the chain rule to composite functions
Level 1 - Apply the product rule
Level 2 - Apply the product rule
Level 1 - Indirect differentiation
Level 1 - Application of differentiation to graphs
Level 2 - Application of differentiation to graphs
Level 1 - Local minimum and local maximum values
Level 2 - Local minimum and local maximum values
Identify a differentiable function
Differentiation problems involving stationary points
Differentiation problems involving the cubic function
Differentiation of fractions
Level 1 - Differentiation of logarithmic functions
Level 2 - Differentiation of logarithmic functions
Level 1 - Differentiation of trigonometric functions
Level 2 - Differentiation of trigonometric functions
Level 3 - Differentiation of trigonometric functions
Level 4 - Differentiation of trigonometric functions
Level 1 - Differentiation of mixed functions
Level 2 - Differentiation of mixed functions
Level 3 - Differentiation of mixed functions
Level 1 - Differentiation word problems
Level 2 - Differentiation word problems
Indefinite integration of polynomials
Indefinite integration of surds
Indefinite integration of trigonometric functions
Definite integration

Complex numbers

Basic operations on complex numbers
Powers of complex numbers

Coordinate geometry

Coordinates of points on a line
Level 1 - Coordinate of a point on a line given the length
Level 2 - Coordinate of a point on a line given the length
Coordinates of a planar shape from a line
Image of a point

Discrete mathematics

Recursive sequences
Rules for matrix elements
Level 1 - Transition matrices
Level 1 - Leslie matrices
Level 1 - Permutation matrices
Level 2 - Permutation matrices
Level 1 - Communication matrices
Level 2 - Communication matrices
Level 1 - Dominance matrices

Exponentials and logarithms

Evaluation of logarithms
Simplification of logarithmic expressions
Equations involving exponents

Functions and relations

Sketching polynomial functions
Identifying transformed polynomials
Sketching power functions
Sketching sum, different and product of two functions
Intersection of two graphs
Function transformations
Absolute value function
Composite functions
Level 1 - Composite function equations
Level 2 - Composite function equations

Graph theory

Properties of vertices
Properties of graphs
Shortest path

Numbers

Challenge - Level 1 - Find integer solutions to linear equations
Challenge - Level 2 - Find integer solutions to linear equations
Congruences
Challenge - Numeric sequences from geometric shapes
Challenge - Divisibility
Challenge - Prime numbers
Challenge - Special functions

Probability

Conditional probability
Identify discrete probability distributions
Calculate probabilities given a discrete probability distribution
Level 1 - Probabilities from polynomial probability density functions
Level 1 - Probabilities from exponential probability density functions
Level 1 - Statistics from polynomial probability density functions
Level 1 - Statistics from polynomial probability density functions
Challenge - Winning the tic-tac-toe

Set theory

Basic set operations
Venn diagrams involving two sets
Venn diagrams involving three sets

Trigonometry

Evaluate trigonometric functions
General solution of trigonometric equations
Trigonometric relations involving circles
Trigonometric relations involving complex geometric shapes

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