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Mathematics / Year 6 / Number and Algebra / Fractions and decimals

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

Make connections between equivalent fractions, decimals and percentages (ACMNA131)

Elaborations
  • connecting fractions, decimals and percentages as different representations of the same number, moving fluently between representations and choosing the appropriate one for the problem being solved
General capabilities
  • Numeracy Numeracy
ScOT terms

Percentages,  Decimals,  Equivalent fractions

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5 direct matches to ACMNA131 | 15 other related resources
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BTN: What is the GST?

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The Goods and Services Tax (GST) is a tax placed on things people buy with money or things people do for money. Can you name some goods and services that have GST? What about some goods and services that don't have GST? Find out when and why the GST was first introduced.

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Online

Fractions, decimals and percentages: Year 5 – planning tool

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This planning resource for Year 5 is for the topic of Fractions, decimals and percentages. Students recognise that fractions, decimal fractions and percentages are equivalent ways to represent and make sense of quantities. They learn about the different contexts where it makes sense to use one of the constructs to express ...

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Text

Café Fractions - Calculate

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In this task, students take the role of the owner of a cake wholesaler, baking and supplying cakes to local café businesses. As café owners order their weekly cakes by the slice, students are required to add unit fractions together to calculate total cake orders. They then solve problems associated with subtracting fractional ...

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Online

Mathematical modelling: Year 5 – planning tool

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This planning resource for Year 5 is for the topic of Mathematical modelling. Students use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts. They formulate the problem, choose operations and efficient calculation strategies, and use digital ...

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Inquiry Prompt Ribbon Bow - Calculate

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This open-ended task challenges students to carry out a mathematical investigation using a ribbon-bow as a stimulus. They are encouraged to develop their own research questions and investigate possible solutions using using mathematical problem solving and modelling strategies.

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Interactive

Fish market: explore trading

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Buy and sell fish in trading markets in a range of Australian and New Zealand cities. Compare market prices, supply and demand. Explore a range of traders to find the best deals and open up new markets. Find a rare fish. Maximise your profit and reputation as a smart trader. This learning object is the first in a series ...

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Interactive

Fraction basics - Easy & Effective Fractions Tutor - iTunes app

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Learn about the core concepts of fractions through 12 animated clips. View the clips on the topic that you want to learn about. These clips will help build a string foundation in fractions. Free when reviewed on 12/5/2015.

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Interactive

The foul food maker: go figure

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This tutorial is suitable for use with a screen reader. It explains how the use of simple words can describe the likelihood of everyday events. How likely is an event: certain, likely, equal chance, unlikely or certainly not? Answer some questions using these words and then build your own examples. Learn how to describe ...

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Interactive

Playground percentages

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Help a town planner to design two site plans for a school. Assign regions on a 10x10 grid for different uses such as a playground, canteen, car park or lawn. Calculate the percentage of the total site used for each region. Use a number line to display fractions and equivalent fractions.

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Interactive

Fraction fiddle: hit the apple

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Help an archer to hit an apple with his arrow. Build two fractions to make a total of one whole. Complete the numerators of both fractions (they may have fixed denominators). For example, work out how many quarters and how many eighths can be added together to total one whole. Look at fraction bars and a number line to ...

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Interactive

Wishball: hundredths

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Test your understanding of decimal place value with numbers that include hundredths. Receive a starting number, such as 46.87, and work towards turning it into a target number, such as 85.32. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. ...

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Video

Fractions in the real world

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How many quarters make up a whole? Watch this video to find out how else you can represent 2/4 and how to add up quarters to make a whole.

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Video

What is a quarter?

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What is a quarter? You get quarters when you divide a whole into four equal parts. Each one of these four parts is a quarter. Watch this great explainer produced by Monique in collaboration with ABC Splash and see how she explains quarters.

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Video

Mixed Up Maths, Ep 12: Super Cyril's circus supplies

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Do you know how to draw up a budget? Find out how it's done. In our example our host is throwing a circus party and has $100 to spend. See how he plans to spend the money. Throw in a few discounts of 10% and 50% and look what he can afford. Does he mange to stick to his budget?

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Interactive

Cassowary ecology quiz

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Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

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Online

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

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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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Video

Decimal fractions video

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Use this video to explore decimal fractions, how they are represented and how we use them in day-to-day contexts.

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Downloadable

Number: Foundation to Year 9

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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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Downloadable

Operations: Foundation to Year 9

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This comprehensive resource describes the progression of ideas that cover addition and subtraction of integers; multiplication and division of integers; the four operations with common and decimal fractions; and operation applications with percent, rate and ratio.

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Work Unit: Mr Moon’s feathery problem - Calculate

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This unit of work provides a rich, contextual activity through which students can explore the applications of measurement (length, area and capacity), to a real problem in an everyday context for Students in Years 5 & 6.

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