Proportional Reasoning and Multiplicative Relationships · Number and Proportion

Percentage Growth and Decay

Using multipliers to calculate successive percentage changes and reverse percentages.

Key Questions

  1. 1Why does increasing a value by 10 percent and then decreasing it by 10 percent not return you to the original value?
  2. 2How can decimal multipliers simplify the calculation of compound interest?
  3. 3What is the mathematical advantage of using a multiplier over a multi step percentage calculation?

National Curriculum Attainment Targets

KS3: Mathematics - NumberKS3: Mathematics - Ratio, Proportion and Rates of Change
Year: Year 8
Subject: Mathematics
Unit: Proportional Reasoning and Multiplicative Relationships
Period: Number and Proportion

Suggested Methodologies

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Recognizing and modeling relationships where variables change at constant rates or in reciprocal ways.

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