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# Mathematics

## Grade 9

Numbers, operations and relationships

- Adding and subtracting decimal fractions
- Adding whole numbers using columns
- Addition of integers
- Calculations with integers
- Compound interest
- Converting between mixed and improper fractions
- Converting decimal to common fractions
- Decimal fractions and place value
- Distance, speed and time calculations
- Division of integers
- Equivalent forms of decimal fractions
- Equivalent fractions
- Exchange rates
- Exchange rates, profit and loss
- Exponent calculations without a calculator
- Expressing numbers using scientific notation
- Finding square roots and cube roots of integers
- Hire purchase
- Integers in context
- Long division with whole numbers
- Multiples and factors
- Multiplication of integers
- Multiplying and dividing decimal fractions
- Multiplying whole numbers using columns
- Prime factorisation
- Properties of integers
- Rate, indirect and direct proportion
- Ratio
- Rounding off whole numbers
- Simple interest
- Simplifying expressions using the laws of exponents (1)
- Simplifying expressions using the laws of exponents (2)
- Simplifying fractions
- Solving equations that involve exponents
- Solving problems involving scientific notation
- Squaring and cubing integers
- Subtracting whole numbers using columns
- Subtraction of integers
- The laws of exponents (1)
- The laws of exponents (2)
- The real number system
- Understanding the exponential form
- VAT

Patterns, functions and algebra

- Adding and subtracting algebraic terms
- Classifying and identifying monomials, binomials, trinomials
- Decimal fractions and algebra
- Drawing global graphs
- Drawing linear graphs (y=mx+c) using the dual intercept method
- Drawing linear graphs (y=mx+c) using the table method
- Extending patterns
- Factorising as a tool to simplify
- Factorising trinomials (1)
- Factorising trinomials (2)
- Factorising where signs change
- Factorising with brackets
- Factorising with numbers
- Factorising with numbers and variables
- Factorising with variables
- Finding the equations of straight lines when given the graph and certain properties
- Generating ordered pairs
- Identifying equivalent forms
- Inputs and outputs
- Interpreting global graphs
- Investigating patterns
- Investigating patterns that are diagrammatic
- Investigating patterns using formulae
- Investigating patterns using tables
- Making the subject of an equation different
- Multiplying and dividing algebraic terms
- Multiplying and dividing by monomials
- Number sequences (1)
- Number sequences (2)
- Pattern notation
- Plotting points in the Cartesian plane
- Properties of graphs
- Solving equations
- Solving equations by additive and multiplicative inverses
- Solving equations by factorisation
- Solving equations by inspection
- Solving equations with exponents
- Square rooting and cube rooting algebraic terms
- Squaring and cubing algebraic terms
- Straight lines 01
- Straight lines 02
- Substituting into algebraic expressions
- The Cartesian plane and straight lines
- The difference of two squares
- The product of binomial expressions
- Transferring to the Cartesian plane and representing this as graphs
- Types of patterns

Data handling

- Bar graphs and dual bar graphs
- Geometric probability
- Broken line graphs
- Collecting data
- Histograms
- Interpreting and analysing data
- Interpreting data (1)
- Interpreting data (2)
- Interpreting data (3)
- Interpreting data (4)
- Organising data
- Pie charts
- Presenting data with pie charts
- Relative frequency
- Summarising data
- Tally tables
- Tree diagrams (1)
- Tree diagrams (2)
- Two-way tables