Mathematics / Year 8 / Number

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Curriculum content descriptions

use mathematical modelling to solve practical problems involving rational numbers and percentages, including financial contexts; formulate problems, choosing efficient calculation strategies and using digital tools where appropriate; interpret and communicate solutions in terms of the situation, reviewing the appropriateness of the model (AC9M8N05)

Elaborations
  • modelling situations involving weather and environmental contexts including temperature or sea depths by applying operations to positive and negative rational numbers; for example, involving average temperature increases and decreases
  • modelling situations that involve percentage increases or decreases and explaining why it is an increase or decrease, such as mark-ups, discounts, Goods and Services Tax, changes in populations or recycling rates
  • modelling situations involving personal income tax, interpreting tax tables to determine income tax at various levels of income, including overall percentage of income allocated to tax
  • modelling situations involving percentage increase or decrease such as market trends, effects on population, or effects on the environment over extended time periods
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Mathematical expressions,  Calculators,  Justification (Reasoning),  Modelling (Mathematical),  Proportions

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TIMES Module 17: Number and Algebra: the unitary method - teacher guide

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This planning resource for Year 8 is for the topic of Mathematical modelling. Students use their knowledge and show proficiency in solving problems with rational numbers. They will apply efficient strategies and use digital tools such as a calculator, where appropriate and verify solutions to various problems.

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In this lesson, students conduct a statistical investigation, collecting and analysing data using percentages, and choosing efficient calculations and strategies. The investigation is communicated visually and verbally to the teacher and peers. Students reflect on feedback and consider revisions for the investigation.

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