Mathematics / Year 7 / Number and Algebra / Real numbers

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Curriculum content descriptions

Multiply and divide fractions and decimals using efficient written strategies and digital technologies (ACMNA154)

Elaborations
  • investigating multiplication of fractions and decimals, using strategies including patterning and multiplication as repeated addition, with both concrete materials and digital technologies, and identifying the processes for division as the inverse of multiplication
General capabilities
  • Numeracy Numeracy
  • ICT capability Information and Communication Technology (ICT) capability
ScOT terms

Division,  Simple fractions,  Multiplication,  Decimals

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6 direct matches to ACMNA154 | 14 other related resources
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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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Downloadable

Prediction vs. reality

  • TLF-IDA003657

This lesson explores how we perceive randomness. Students toss coins and record their observations while half of the class fake their results. They will then explore the differences between the random results and fake results sets and investigate theoretical probabilities for large numbers of coin flips. The lesson is outlined ...

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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 ...

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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.

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Downloadable

Introduction to games of chance

  • TLF-IDA003641

This lesson explores how to predict outcomes of games of chance. Students investigate the concepts of luck, skill and fairness, using dice games. They calculate probabilities for one and two dice rolls and compare the odds for different combinations of dice in a variety of game scenarios. The lesson is outlined in detail ...

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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. ...

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Online

TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

  • TLF-IDM008607

This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

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Online

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

  • TLF-IDM008609

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

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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.

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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 15: Number and Algebra: the integers - teacher guide

  • TLF-IDM008819

This is a 24-page guide for teachers. The module introduces the integers, order of the integers and operations on the integers.

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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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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

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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Video

Catalyst: Graham's number

  • TLF-IDM015447

If you were asked what the biggest number you can think of is, what would you say? Infinity? Well, what about the biggest finite number you can think of? Mathematician Ron Graham came across such a gigantic number in his research that, to capture its massive size, he and his colleagues needed to come up with new methods ...

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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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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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Video

MathXplosion, Ep 11: Fun facts about the number seven

  • TLF-IDM024927

Did you know that the digits on opposite faces of dice will always add up to seven? Use dice as fun tools to reinforce fact families of seven, multiples of seven and subtraction skills.

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Video

How does income tax work?

  • TLF-IDM025251

Gen Fricker makes income tax interesting! Learn about income tax - what it is, how it works and when you have to pay it. Easy-peasy! Then test yourself with ASIC Moneysmart's "Things to think about" classroom exercises.

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Video

MathXplosion, Ep 1: Magic 9s

  • TLF-IDM024938

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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