The whole year, readable in five minutes.

1. 01

   Integers and Their Operations

   Multiply and divide integers, including the sign rules that trip most learners up.

   • Integers on the number line, revisited
   • Multiplying integers
   • Dividing integers
   • Properties of integer operations
   2 more lessonsShow fewer

   • Order of operations
   • Solving integer word problems

   6 practice classes

2. 02

   Fractions, Decimals and Rational Numbers

   Multiply and divide fractions and decimals without reaching for a calculator.

   • Multiplying fractions by fractions
   • Dividing fractions, and the reciprocal
   • Multiplying and dividing decimals
   • Rational numbers — fractions that can be negative
   2 more lessonsShow fewer

   • Placing rational numbers on the number line
   • Operations with rational numbers

   5 practice classes · An assessment

3. 03

   Data and Statistics

   Calculate mean, median and mode — and say which one a question actually needs.

   • Collecting data and organising it
   • The mean as a balancing point
   • Median and mode
   • Choosing the right average
   2 more lessonsShow fewer

   • Bar graphs and double bar graphs
   • Chance, and the language of probability

   6 practice classes

4. 04

   Simple Equations

   Build an equation from a word problem and solve it by keeping both sides balanced.

   • From arithmetic to algebra
   • Building an equation from a story
   • Solving equations by keeping the balance
   • Equations with the variable on both sides
   2 more lessonsShow fewer

   • Checking a solution, and what a wrong answer tells you
   • Solving word problems with equations

   5 practice classes · An assessment

5. 05

   Lines and Angles

   Find a missing angle using angle pairs, and justify the step you took.

   • Complementary and supplementary angles
   • Adjacent angles and linear pairs
   • Vertically opposite angles
   • Parallel lines cut by a transversal
   2 more lessonsShow fewer

   • Corresponding, alternate and co-interior angles
   • Proving that two lines are parallel

   6 practice classes

6. 06

   Triangles

   Apply the angle sum and exterior angle properties, and classify any triangle.

   • The angle sum of a triangle
   • The exterior angle property
   • Classifying triangles by side and by angle
   • Congruence — when two triangles are the same
   2 more lessonsShow fewer

   • The congruence conditions: SSS, SAS, ASA and RHS
   • The Pythagorean relationship

   5 practice classes · An assessment

7. 07

   Ratio, Percentage and Money

   Convert freely between fractions, decimals and percentages, and handle money problems.

   • Ratio and proportion, revisited
   • Percentage — a ratio out of one hundred
   • Converting between fractions, decimals and percentages
   • Percentage increase and decrease
   2 more lessonsShow fewer

   • Profit, loss and discount
   • Simple interest

   6 practice classes

8. 08

   Perimeter, Area and Symmetry

   Find the area of triangles and parallelograms, and the circumference of a circle.

   • Area of a parallelogram
   • Area of a triangle
   • Circumference of a circle
   • Area of a circle
   2 more lessonsShow fewer

   • Symmetry, reflection and rotation
   • Area and perimeter of combined shapes

   5 practice classes · An assessment

Practice classes go over the lesson before them: worked problems, revision and doubts. Assessments sit at the midpoint and the end of the year.