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MathematicsGrade 8Quality review 0/4

Mathematics — Grade 8

A complete, CAPS-aligned Grade 8 mathematics course — from the laws of exponents through algebra, graphs, geometry, the Theorem of Pythagoras, measurement and probability. Every idea is taught twice: once rigorously as Theory and once through an everyday Visual picture, with worked examples rooted in South African life and practice problems that come with hints and full solutions.

≈ 12 h 55 min8 sections · 32 lessonsNo ratings yet
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What you'll learn

  • Apply the laws of exponents to multiply, divide and raise powers with the same base, and evaluate powers of whole numbers
  • Simplify algebraic expressions by collecting like terms and expanding brackets, and solve one-variable linear equations — including those with brackets — drawn from real situations
  • Plot points on the Cartesian plane, build a table of values from a rule, and draw the straight-line graph it describes
  • Use the Theorem of Pythagoras and the idea of congruence to reason about triangles, and calculate perimeter, area, surface area and volume of everyday shapes and prisms
  • Run a simple experiment and calculate relative frequency to estimate how likely an event is

Before you start

  • Grade 7 number work: integers, and squares, cubes and roots
  • Grade 7 algebra: writing simple expressions and using flow diagrams for simple equations
  • Confident four-operation arithmetic with whole numbers and basic fractions

Course content

0/32 lessons
1. The Laws of Exponents4 lessons
  1. Powers, Bases and ExponentsLesson20 min
  2. Multiplying Powers: Add the ExponentsLesson25 min
  3. Dividing Powers and the Zero ExponentLesson25 min
  4. Power of a PowerLesson25 min
2. Algebraic Expressions & Equations4 lessons
  1. Collecting Like TermsLesson25 min
  2. Expanding BracketsLesson25 min
  3. Solving Linear EquationsLesson25 min
  4. Equations with Brackets & Word ProblemsLesson25 min
3. Graphs & the Cartesian Plane3 lessons
  1. The Cartesian PlaneLesson20 min
  2. Building a Table of ValuesLesson20 min
  3. Drawing Straight-Line GraphsLesson25 min
4. Geometry & the Theorem of Pythagoras4 lessons
  1. Angles in a TriangleLesson25 min
  2. Congruent ShapesLesson20 min
  3. The Theorem of PythagorasLesson25 min
  4. Finding a Shorter Side & ApplicationsLesson25 min
5. Measurement & Probability4 lessons
  1. Area & Perimeter of 2D ShapesLesson25 min
  2. Surface Area of PrismsLesson25 min
  3. Volume of PrismsLesson25 min
  4. Relative FrequencyLesson20 min
6. Exponent and Algebra Fluency4 lessons
  1. Combining Exponent LawsLesson25 min
  2. Why the Zero Exponent WorksLesson25 min
  3. Expanding Two BinomialsLesson25 min
  4. Linear Equations with FractionsLesson25 min
7. Graphs and Coordinate Reasoning3 lessons
  1. Intercepts of Straight-Line GraphsLesson25 min
  2. Gradient as a Rate of ChangeLesson25 min
  3. Finding a Linear Rule from a TableLesson25 min
8. Geometry, Measurement and Probability6 lessons
  1. Triangle Congruence TestsLesson25 min
  2. The Converse of PythagorasLesson25 min
  3. Area of Compound ShapesLesson25 min
  4. Volume and Capacity ConversionsLesson25 min
  5. Sample Spaces and Relative FrequencyLesson25 min
  6. Complementary EventsLesson25 min