Mathematics / Year 4 / Number and Algebra / Fractions and decimals

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

Count by quarters halves and thirds, including with mixed numerals. Locate and represent these fractions on a number line (ACMNA078)

Elaborations
  • converting mixed numbers to improper fractions and vice versa
  • investigating the use of fractions and sharing as a way of managing Country: for example taking no more than half the eggs from a nest to protect future bird populations
General capabilities
  • Numeracy Numeracy
ScOT terms

Denominators,  Number lines,  Mixed numbers,  Arithmetic sequences

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Online

reSolve: Authentic Problems: Expanded Square

  • TLF-IDM024876

This sequence of four lessons explores concepts around informal area and symmetry. Students design an 'expanded square' where approximately half the area of the original square is flipped to the outside. The lessons provide opportunities for students to devise and use methods to informally measure area, record their mathematical ...

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Interactive

Wishball: whole numbers

  • TLF-IDL867

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...

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Interactive

Wishball: hundredths

  • TLF-IDL869

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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Interactive

Wishball challenge: whole numbers

  • TLF-IDL871

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

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Video

What is a quarter?

  • TLF-IDM020240

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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Interactive

Waste and materials – sustainability action process (Years 3–6)

  • TLF-IDM020974

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

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Downloadable

Walking the rope

  • TLF-IDA003575

Students develop an understanding of the proportion and relationships between fractions. They represent fractions using linear models and symbols and form a generalisation about fractions equivalent to one whole.

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Online

Using visual tools to assist low achievers with mental computation

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This teacher resource describes a case study investigating the use of visual tools to enhance mental computation by year 4 students who achieved poor results on the National Assessment Program - Literacy and Numeracy (NAPLAN) numeracy test, at St Monica's Primary School, Canberra. The method section describes the use of ...

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Online

TIMES Module 2: Number and Algebra: addition and subtraction - teacher guide

  • TLF-IDM008811

This is a 29-page guide for teachers. The module introduces addition and subtraction of whole numbers.

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Interactive

Sustainable transport – sustainability action process (Years 3–6)

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This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

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Interactive

Sites2See – number for primary

  • TLF-IDM016278

Selected links to a range of interactive online resources for the study of number in Foundation to Year 6 Mathematics.

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Interactive

Sites2See – measurement for primary

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Selected links to a range of interactive and print resources for Measurement topics in K-6 Mathematics.

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Interactive

Rainforest: make a walking track

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Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.

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Video

Numbers Count: What are factors?

  • TLF-IDM020175

What are factors? Watch as the jelly babies in this clip show you! What are the factors of 12? How many factors does the number 11 have? Try explaining to a friend what a prime number is.

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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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Video

Musical fractions

  • TLF-IDM024909

Break down a song by counting how long the notes are in action! Learn about patterns in rhythms and musical notes, and discover the role of fractions in denoting whole, half and quarter notes and creating distinct sounds.

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Interactive

MoneySmart: helping out

  • TLF-IDM017876

This is an activity about making choices to raise money for imaginary animals called gumbutangs. Their habitat is being eradicated and something must be done to save them. The user's first choice is between two websites, one a trusted one, the other a scam site. Then they are given choices about how to raise money for the ...

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Interactive

MoneySmart: Money maps

  • TLF-IDM017235

This learning object helps students to explore the history of currency including bartering, the development of cash systems, and the arrival of cards and ATMs, both in Australia and around the world. It provides an interactive time line which spans the development of currency around the globe from 9000BCE to today, and ...

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Online

MoneySmart: How much love can fit into a shoebox?

  • TLF-IDM017870

This is a year 4 mathematics unit of work about preparing a 'shoebox of love', a gift-filled shoebox to be sent to a child in need. The unit is intended to take about 11 hours of teaching and learning time. It consists of an introduction, seven student activities and teacher notes on curriculum, pedagogy and assessment. ...

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Video

Mixed Up Maths, Ep 1: Monumental measurement mess ups

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Did you know that in Australia we use a metric system for measurement? See if you know the units of measurement for length, mass and volume. Find out what system the United States uses. You guessed it - they don't use the metric system! See how a mix up of these units can cause all kinds of mess ups.

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