CBSE · Class 8 · Mathematics · Chapter 10

Proportional Reasoning-2

Extend proportional reasoning to percentages, direct relationships, scale and multi-step applications.

7 lessons 55 min
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Lessons in this chapter

  1. 1Proportional Relationships — A Quick RecapReview how ratios describe proportional relationships and how cross-multiplication helps us test whether two ratios are equivalent.
  2. 2Ratios in MapsLearn how map scales connect distances on a map with real geographical distances and how to convert between them correctly.
  3. 3Ratios with More Than Two TermsExtend ratio reasoning to mixtures and situations involving three or more quantities while keeping every term in the same proportion.
  4. 4Dividing a Whole in a Given RatioLearn how to split a fixed total into two or more proportional parts and apply the method to mixtures, time, money and geometry.
  5. 5Pie Charts — Proportions of a WholeConnect ratios, fractions, percentages and angles to construct and interpret pie charts as proportional pictures of a whole.
  6. 6Understanding Inverse ProportionLearn how inverse proportion differs from direct proportion and how a constant product reveals relationships where one quantity rises as the other falls.
  7. 7Solving Proportion and Work-Rate ProblemsApply direct proportion, inverse proportion and combined work rates to workers, pumps, supplies, schedules and other real situations.
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