Study notes

• Classify whole numbers as prime or composite using trial division
• Express a composite number as a product of its prime factors using index notation
• Find the square root of a perfect square and the cube root of a perfect cube using prime factorisation

11 sections

• Understand negative numbers and their real-world applications
• Order and compare integers, fractions and decimals on a number line
• Perform addition and subtraction of integers

8 sections

• Understand the difference between approximation and estimation
• Round off numbers to a given number of decimal places
• Identify significant figures using the 5 rules

7 sections

• Use letters to represent unknown numbers, generalised numbers and variables
• Evaluate algebraic expressions by substituting given values
• Add and subtract linear expressions by combining like terms

8 sections

• Recognise a linear equation in one variable, and know what it means to solve one
• Solve linear equations in one variable, including ones whose coefficients are fractions
• Solve simple fractional equations that reduce to linear equations

7 sections

• Use the Cartesian coordinate system to locate and plot points on a plane
• Understand a function as a rule that maps each input to exactly one output
• Evaluate a function given a specific input value

9 sections

• Recognise patterns in number sequences (arithmetic, geometric, and others)
• Find the next terms of a number sequence by identifying the rule
• Use the general term to find specific terms of a sequence

6 sections

• Convert between percentages, fractions and decimals
• Work with percentages greater than 100% and less than 1%
• Find the percentage of a given quantity

10 sections

• Simplify ratios and find equivalent ratios
• Divide a quantity in a given ratio
• Solve problems involving ratios of two and three quantities

8 sections