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WarshaInternational curriculum
Warsha
Grade 8 · Maths
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1. Exponents, Roots and Scientific Notation
  1. Derive laws of positive integer exponentsFree lesson
  2. Explain zero and negative exponents for non-zero basesIn preparation
  3. Locate square roots and distinguish rational from irrational numbersIn preparation
  4. Convert and calculate with scientific notationIn preparation
2. Linear Equations and Solution Types
  1. Solve equations with bracketsIn preparation
  2. Solve equations with variables on both sidesIn preparation
  3. Interpret equations with one, no or infinitely many solutionsIn preparation
  4. Check a solution in the original statementIn preparation
3. Functions, Slope and Intercept
  1. Distinguish a function from a relation with multiple outputs per inputIn preparation
  2. Connect function rules, tables and graphsIn preparation
  3. Calculate and interpret a constant rate of changeIn preparation
  4. Interpret slope and intercept in y = mx + bIn preparation
  5. Compare linear and non-linear patternsIn preparation
4. Systems of Linear Equations
  1. Interpret simultaneous solutions as intersectionsIn preparation
  2. Solve simple systems by graphingIn preparation
  3. Solve systems using substitutionIn preparation
  4. Use elimination and verify both equationsIn preparation
  5. Interpret parallel and coincident linesIn preparation
5. Transformations, Congruence and Similarity
  1. Describe translations, rotations and reflectionsIn preparation
  2. Identify properties preserved by rigid transformationsIn preparation
  3. Describe enlargements using a scale factorIn preparation
  4. Justify congruence or similarityIn preparation
  5. Use parallel-line angles to support triangle reasoningIn preparation
6. Pythagoras and Distance
  1. Explain the area relationship in a right triangleIn preparation
  2. Find a missing side and distinguish the hypotenuseIn preparation
  3. Use the converse to test a right angleIn preparation
  4. Find distances between coordinate pointsIn preparation
7. Volumes of Curved Solids
  1. Connect cylinder volume to circular layersIn preparation
  2. Compare cone and cylinder volume for matching base and heightIn preparation
  3. Use sphere volume in contextIn preparation
  4. Distinguish exact and approximate answersIn preparation
8. Bivariate Data and Association
  1. Construct and interpret scatter plotsIn preparation
  2. Describe direction, form and unusual observationsIn preparation
  3. Fit an informal line and interpret its predictionsIn preparation
  4. Read two-way tables using appropriate relative frequenciesIn preparation
  5. Distinguish association from causationIn preparation
9. Comparing Models Project
  1. Choose variables and a meaningful domainIn preparation
  2. Build and compare two linear modelsIn preparation
  3. Check predictions against constraints or dataIn preparation
  4. Communicate limitations and a justified decisionIn preparation

Discover the Exponent Rules

PRACTISE · ONE IDEA AT A TIME

Your turn to think

Try one question. A hint can help!

Product rule · Question 1 of 6

3² × 3⁵ = 3 raised to which exponent?

Read together with an adult.

Derive laws of positive integer exponents.

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For parents

What you have practised

0 answered independently · 0 completed with help. These are practice results, not a formal assessment.

  • Product ruleNot tried yet
  • Quotient ruleNot tried yet
  • Power of a powerNot tried yet
  • Limits of a ruleNot tried yet
  • Same-base conditionNot tried yet
  • Nonzero conditionNot tried yet

Video completion means at least 90% of its timeline was played; it does not prove understanding.

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About this lesson

Derive laws of positive integer exponents.

Suggested ages: 13–14. Choose from your child’s existing skills, not age alone.

This lesson includes a video, six exercises and three game missions. Instructions and feedback can be heard aloud.

Before this unit

  • Grade 7: Signed Rational Arithmetic
  • Grade 5: Powers of Ten and Whole-Number Fluency

A structured skills programme, not a school qualification.