Mathematics / Year 7 / Measurement

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Curriculum content descriptions

use mathematical modelling to solve practical problems involving ratios; formulate problems, interpret and communicate solutions in terms of the situation, justifying choices made about the representation (AC9M7M06)

Elaborations
  • using fractions to model and solve ratio problems involving comparison of quantities, and considering part-part and part-whole relations
  • modelling and solving practical problems involving ratios of length, capacity or mass, such as in construction, design, food or textile production; for example, mixing concrete, the golden ratio in design, mixing a salad dressing
  • modelling the situation using manipulatives, diagrams and/or mathematical discussion; for example, mixing primary colours in a variety of ratios to investigate how new colours are created and the strength of those colours
  • investigating commercialised substances founded on First Nations Australians’ knowledges of substances including pharmaceuticals and toxins, understanding how ratios are used in their development
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Mathematical expressions,  Justification (Reasoning),  Critical thinking,  Ratios,  Mathematical problem solving

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10 direct matches to AC9M7M06 | 10 other related resources
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Video

Proportional reasoning video

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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.

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Video

Volume and mathematical modelling video

  • TLF-IDA003095

Use this video as a springboard to explore volume of composite shapes, adjusting numbers to make calculations friendlier and draw on reasoning and mathematical modelling.

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Text

Sandcastle ratios

  • TLF-IDA004621

In this lesson students think like geotechnical engineers, exploring the properties of sand and the ways in which those properties can be used in building and construction.

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reSolve: Paint with Numbers

  • TLF-IDM025818

This sequence of three lessons explores ratios through the context of mixing paint. Students investigate how ratios express a multiplicative relationship between two measures and under what conditions the proportions remain constant when the numerical values of both quantities change. The lessons are outlined in detail ...

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Video

Are plants mathematicians?

  • TLF-IDM017685

Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Interactive

Syllabus Bites: Revisiting proportion

  • TLF-IDM016285

This is the first in a series of Syllabus Bites related to direct and indirect proportion. Students revise the concept of ratio. They create short visual explanations showing how problems can be solved.

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Video

Catalyst: Take the Phi Golden challenge

  • TLF-IDM015446

The golden ratio, Phi: fact or fallacy? What about the Fibonacci sequence? We are told this ratio and its cousin Fibonacci occur everywhere in nature. Let's see which of these claims stacks up when put to the test.

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Text

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.

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Interactive

Squirt: three containers

  • TLF-IDA002708

Examine the relationships between capacities of various containers. Look at three containers that may have different diameters, heights and shapes. Fill a container and squirt liquids between the containers to establish the proportional relationship. Work out the third 'unlinked' relationship from two known relationships. ...

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Interactive

Renovate, Calculate!

  • TLF-IDM016724

A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

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Text

reSolve: Modelling Motion - Year 7

  • TLF-IDM025029

This sequence of seven lessons challenges students to use simple equipment to predict, observe and represent motion. They create a series of graphs to represent motion and construct instruments to measure forces in one and then two dimensions. They interpret these representations to develop concepts of force and motion. ...

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Text

ReSolve: What's In A Name

  • TLF-IDM025315

This sequence of two lessons examines trends in the names of students in the class, as well as trends in popular names from 2017 and 1957. Students explore data associated with these names and decide whether the mean, median or mode might be a suitable measure of central tendency. They develop their skills with spreadsheets ...

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Text

reSolve: Algebra - Prisms and pyramids

  • TLF-IDM021069

This lesson engages students in investigating the relationship between the number of faces, edges and vertices of pyramids and prisms. Students construct their own 3D shapes, systematically record the properties of the shape and develop an algebraic formula to generalise the relationships discovered. The lesson is outlined ...

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Text

reSolve: Mathematical modelling: Cracking codes

  • TLF-IDA007893

In this sequence of four lessons, students use mathematical modelling to develop strategies for deciphering messages encrypted with a simple substitution cipher. In such ciphers, each letter in the original message is replaced with a different letter, number, or symbol according to a fixed system. The ciphers students work ...

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Video

Algebra basics video

  • TLF-IDA003312

Use this video as a springboard to introduce algebraic thinking, and to apply that thinking to a financial context, drawing on reasoning.

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Downloadable

Human landscapes – inquiry-based learning through Sydney Metro – Stage 4

  • TLF-IDM025444

This inquiry-based unit of work was created, trialled and peer reviewed as part of a professional learning program in inquiry-based learning for school teachers. The professional learning courses were part of a pilot partnership between the NSW Government’s Sydney Metro transport agency and Western Sydney University. Students ...

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Interactive

Syllabus bites: Using Venn diagrams to solve problems

  • TLF-IDM016692

Worked examples and guided exercises to assist students learning to use Venn diagrams as an organiser for solving mathematical problems.

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Interactive

Numeracy wrap: Tell me why

  • TLF-IDM016554

Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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Video

Can you guess the weight of Uluru?

  • TLF-IDM025420

What is the "wisdom of a crowd"? Mathematician Lily Serna investigates a mathematical phenomenon that suggests that if you have a large enough crowd, with a broad variety of people making estimates, then the mean (average) answer of the crowd will be accurate! Find out if a crowd can guess the weight of Uluru from the ground ...

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Video

What are pixels?

  • TLF-IDM020591

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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