Mathematics / Year 7 / 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

Connect fractions, decimals and percentages and carry out simple conversions (ACMNA157)

Elaborations
  • justifying choices of written, mental or calculator strategies for solving specific problems including those involving large numbers
  • understanding that quantities can be represented by different number types and calculated using various operations, and that choices need to be made about each
  • calculating the percentage of the total local municipal area set aside for parkland, manufacturing, retail and residential dwellings to compare land use
General capabilities
  • Numeracy Numeracy
ScOT terms

Simple fractions,  Percentages,  Decimals

Refine by resource type

Refine by year level


Refine by learning area


Refine by topic

Related topic
  • No suggestions

10 direct matches to ACMNA157 | 10 other related resources
Showing the top 20 search results

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 ...

View detailsView resource
Text

7N05A Percentages - Ochre Education

  • TLF-IDA004135

This unit of work focuses on percentages. Students represent percentages, including percentages greater than 100%; convert between decimals, fractions, and percentages; write one number as a percentage of another (including where the percentage is greater than 100%) and find a percentage of a number (including using percentages ...

View detailsView resource
Text

7N03A Fractions - Ochre Education

  • TLF-IDA004134

This unit of work focuses on fractions. Students represent and convert between equivalent forms, such as improper and mixed numeral and equivalent and simplified fractions; compare and order positive and negative fractions; add, subtract, multiply, divide (including writing one number as a fraction of another and finding ...

View detailsView resource
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 ...

View detailsView resource
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 ...

View detailsView resource
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.

View detailsView resource
Text

7N04A Decimals - Ochre Education

  • TLF-IDA004133

This unit of work focuses on decimals. Students represent, compare, and order positive and negative decimals; convert between terminating decimals and fractions; add, subtract, multiply, divide (including writing one number as a decimal of another and finding a decimal of a number), square, cube, square root and cube root ...

View detailsView resource
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 ...

View detailsView resource
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.

View detailsView resource
Interactive

The Numberline

  • TLF-IDM016500

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

View detailsView resource
Online

Tax, Super + You

  • TLF-IDA002773

Tax, Super + You is designed to provide teachers and parents with practical resources to help students in Years 7-12 understand the value of tax and superannuation, and have confidence when entering the workforce. Registration for a free account is required to access the full suite of materials.

View detailsView resource
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.

View detailsView resource
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.

View detailsView resource
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, ...

View detailsView resource
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.

View detailsView resource
Downloadable

Can you beat the system?

  • TLF-IDA003659

In this lesson, students calculate the average expected value of losses on a roulette wheel over time, and use these values to analyse the cost of gambling on these games. They also study the flaws inherent in betting systems to determine whether these systems are weighted in the favour of game operators making a profit. ...

View detailsView resource
Downloadable

The wide wide world of sports betting

  • TLF-IDA003660

This lesson explores the difference between perfectly predictable events (like the roll of a die) and less certain events (such as sports). Students investigate mathematically how sports bookmakers create odds to guarantee themselves a profit and pay gamblers less for a win than they deserve. The lesson is outlined in ...

View detailsView resource
Online

All operations: Year 7 – planning tool

  • TLF-IDA003262

This planning resource for Year 7 is for the topic of All operations. Students use all operations with positive rational numbers and to choose the most appropriate and efficient approach when solving a variety of problems.

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

Estimation and reasonableness: Year 7 – planning tool

  • TLF-IDA003263

This planning resource for Year 7 is for the topic of Estimation and reasonableness. Students round decimals to a specified number of decimal places and connect the process of rounding up or down to prior experiences in rounding.

View detailsView resource