Mathematics / Year 7 / Number and Algebra / Real numbers

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View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Compare fractions using equivalence. Locate and represent positive and negative fractions and mixed numbers on a number line (ACMNA152)

Elaborations
  • exploring equivalence among families of fractions by using a fraction wall or a number line (for example by using a fraction wall to show that 2/3 is the same as 4/6 and 6/9)
General capabilities
  • Literacy Literacy
  • Numeracy Numeracy
ScOT terms

Number lines,  Mixed numbers,  Equivalent fractions

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8 direct matches to ACMNA152 | 12 other related resources
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Online

Mathletes in motion

  • TLF-IDA003488

In this lesson, students use mathematical modelling in measurement (comparing and evaluating sports results) to explain equivalence between fractions, decimals and percentages, and represent rational numbers on a number line.

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Online

Practical numbers: Part 2

  • TLF-IDA003495

In this lesson we use the context of an ancient bazaar to investigate measurement systems. Students select a name and base number for their system of measurement, using weights made from clay or similar material. They divide their clay into possible unit fractions to generate their set of weights. They assign a fictional ...

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Online

Number sequence: Year 7 – planning tool

  • TLF-IDA003264

This planning resource for Year 7 is for the topic of Number sequence. Students extend their understanding of equivalence of fraction with visual representations such as a number line that extends beyond zero; concrete materials; and common multiples and fraction walls. Students learn to work with equivalence and explore ...

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Online

Practical numbers: Part 1

  • TLF-IDA003485

In this lesson, students explore standardised measuring systems. They encounter the challenge of a shopkeeper who must determine how to weigh different quantities of spices most efficiently. Working in a financial context, students model this scenario using fractions, percentages and ratios, and communicate their solution ...

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Text

BBC Bitesize: fractions - revision

  • TLF-IDM010511

This is a set of information sheets dealing with fraction concepts, terminology and calculations. Students are presented with practice questions and have access to a short test to assess their learning. This resource is one of a series of online resources from the BBC's Bitesize collection.

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Interactive

The Numberline

  • TLF-IDM016500

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

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Online

TIMES Module 14: Number and Algebra: fractions - teacher guide

  • TLF-IDM008602

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

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Online

Equivalent fractions and the use of the number line

  • TLF-IDM014343

This is a website designed for both teachers and students that addresses equivalent fractions from the Australian Curriculum for year 7 students. It contains material on equivalent fractions, and explains how equivalence can be demonstrated on the number line. There are pages for both teachers and students. The student ...

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Online

reSolve: Mechanical Linkages: Angles and Lines

  • TLF-IDM021838

This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ...

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Interactive

Numeracy wrap: Race across transversals

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Interactive activities that guide students to explore angles in parallel lines.

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Interactive

Laptop wrap: Horology hiccup

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A laptop-friendly resource focussed on the concept of time. Features guided technology-based activities.

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Video

MathXplosion, Ep 40: Kaprekar's operation

  • TLF-IDM024984

Did you know that 6,174 is a very mysterious number? In 1949, the mathematician Dr Kaprekar from India devised a process now known as Kaprekar's operation. First, choose a four-digit number where the digits are all different. Then rearrange the digits to get the largest and smallest numbers these digits can make. Finally, ...

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Downloadable

Number: Foundation to Year 9

  • TLF-IDA003566

This comprehensive resource describes the progression of number-related ideas showing the relationship to other curriculum strands. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in number including teaching and cultural implications.

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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 ...

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Interactive

Converting decimals to percentages

  • TLF-IDM012415

This interactive resource consists of a series of questions about converting decimals into percentages. The viewer is required to convert a decimal number into a percentage and enter the answer in a window on the screen. The answer can be checked and, if correct, the viewer moves to the next question. Help is available ...

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Online

Geometric reasoning including parallel lines and angle sum of a triangle

  • TLF-IDM014342

This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ...

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Online

TIMES Module 18: Number and Algebra: decimals and percentages - teacher guide

  • TLF-IDM008606

This is a 21-page guide for teachers containing an introduction to decimals and percentages. It shows how place value is extended to describe positive numbers less than one. It also explores how to represent decimals on the number line, compare decimals, undertake the four basic arithmetic operations with decimals and change ...

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Online

TIMES Module 13: Measurement and Geometry: construction - teacher guide

  • TLF-IDM008821

This is a 30-page guide for teachers that explains the central role of construction and presents examples of constructions.

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Online

TIMES Module 20: Number and Algebra: percentages - teacher guide

  • TLF-IDM008813

This is a 15-page guide for teachers. This module introduces percentages and their many uses in science, commerce and measurement.

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Online

TIMES Module 9: Measurement and Geometry: introduction to plane geometry - teacher guide

  • TLF-IDM008822

This is a 16-page guide for teachers. It provides an introduction to the initial ideas of plane geometry. Points and lines are introduced as fundamental objects in the study of geometry. Angles and parallelism are the initial areas of attention in a more formal approach to geometry that occurs from year 7.

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