Mathematics / Year 8 / Number and Algebra / Real numbers

Version 8
Switch to version 9
View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Solve a range of problems involving rates and ratios, with and without digital technologies (ACMNA188)

Elaborations
  • understanding that rate and ratio problems can be solved using fractions or percentages and choosing the most efficient form to solve a particular problem
  • calculating population growth rates in Australia and Asia and explaining their difference
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Ratios

Refine by resource type

Refine by year level


Refine by learning area


Refine by topic

Related topic
  • No suggestions

5 direct matches to ACMNA188 | 6 other related resources

Online

reSolve: Fibonacci Miles

  • TLF-IDM025820

This lesson introduces students to a trick for quick conversion between miles and kilometres using the Fibonacci sequence. Students are challenged to explain why the trick works. They investigate using their knowledge of ratio and discover that the miles/kilometres conversion rate is close to the golden ratio. The lesson ...

View detailsView resource
Online

TIMES Module 21: Number and Algebra: rates and ratios - teacher guide

  • TLF-IDM008824

This is a 17-page guide for teachers. This module introduces the idea of ratios and rates. Ratios are used to compare two quantities. The emphasis is usually on comparing parts of the whole. Rates are a measure of how one quantity changes for every unit of another quantity. It relates the ideas of ratios, gradient and fractions.

View detailsView resource
Online

Mathematical modelling (Measurement): Year 8 – planning tool

  • TLF-IDA003278

This planning resource for Year 8 is for the topic of Mathematical modelling. Students use mathematical modelling to solve problems involving ratios and rates in a financial context.

View detailsView resource
Online

Rates and ratios: Year 8 – planning tool

  • TLF-IDA003277

This planning resource for Year 8 is for the topic of Rates and ratios. Students recognise and use rates to solve problems including, constant rates, rate of pay, cost per kilogram, recipes, simple interest and average rates. Students will also be required to make comparisons between two related quantities of different ...

View detailsView resource
Video

Proportional reasoning video

  • TLF-IDA003310

Use this video as a springboard to explore scaling or proportional thinking, and to apply that thinking in a food context, drawing on reasoning and mathematical modelling.

View detailsView resource
Online

Secondary mathematics: different representations

  • TLF-IDS4971

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

View detailsView resource
Online

reSolve: Mechanical Linkages: Quadrilaterals

  • TLF-IDM021845

This series of six lessons explores geometry using real world contexts focussed on the dynamics of linkages and moving joints of everyday tools and objects. Students use physical models and computer simulations, the lessons move from a view of geometry as a study static diagrams to encompass movement. Each lesson is outlined ...

View detailsView resource
Online

Australia's population: countries of birth - dataset

  • TLF-IDM007102

The dataset provides statistics about the estimated resident population, median age and sex ratio by countries of birth for the latest year of available data. It is periodically updated by the Australian Bureau of Statistics (ABS). The dataset is included in the list of related datasets on the page in MS Excel format.

View detailsView resource
Text

Geometric reasoning - congruence

  • TLF-IDM012845

This is a website designed for both teachers and students that introduces congruence of shapes in the plane through transformations. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are used to define congruence and to identify congruent shapes. The four congruence ...

View detailsView resource
Online

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

  • TLF-IDM008820

This is an 18-page guide for teachers. This module introduces the idea of ratios and rates.

View detailsView resource
Online

TIMES Module 22: Measurement and Geometry: scale drawings and similarity - teacher guide

  • TLF-IDM009166

This is a 41-page guide for teachers. It contains an introduction to scale drawings and similarity, and in particular the tests for triangles to be considered similar. Applications of similarity are included throughout the module.

View detailsView resource