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Solve problems involving addition and subtraction of fractions with the same or related denominators (ACMNA126)

 

  • add and subtract fractions, including mixed numerals, where one denominator is the same as, or a multiple of, the other, eg

 

 

 

  * convert an answer that is an improper fraction to a mixed numeral (Communicating)

  * use knowledge of equivalence to simplify answers when adding and subtracting fractions (Communicating, Reasoning)

  * recognise that improper fractions may sometimes make calculations involving mixed numerals easier (Communicating)

 

Decomposing Fractions Using Time (or Money – is US)

Mathplay Add Subtract Fractions Game

Sheppards Add Subtract Fractions Game

 

  • solve word problems involving the addition and subtraction of fractions where one denominator is the same as, or a multiple of, the other, eg 'I ate of a cake and my friend ate of the cake. What fraction of the cake remains?'

 

Mathplayground Word Problem Database

 

Virtual Pet

(not interactive but good for showing strategies)

 

  • multiply simple fractions by whole numbers using repeated addition, leading to a rule, eg

 

                              leading to

 

 

Balancing Act L4

 

Find a simple fraction of a quantity where the result is a whole number, with and without the use of digital technologies (ACMNA127)

 

  • calculate unit fractions of collections, with and without the use of digital technologies, eg calculate of 1/5 of 30

  * describe the connection between finding a unit fraction of a collection and the operation of division (Communicating, Problem Solving)

 

  • calculate a simple fraction of a collection/quantity, with and without the use of digital technologies, eg calculate 2/5 of 30

  * explain how unit fractions can be used in the calculation of simple fractions of collections/quantities, eg 'To calculate 3/8 of a quantity, I found 1/8 of the collection first and then multiplied by 3' (Communicating, Reasoning)

 

  • solve word problems involving a fraction of a collection/quantity

 

Head Lice Problem Solving Game

Dositey Fraction Mystery Puzzle

Fraction Wall

Equivalence Number Line

Equivalent Fractions on a Number Line

Fractions Game

Fractions Numberline Game

Brainpop Number Line Game

Fraction Monkeys

 

  • model, compare and represent fractions with denominator of 2, 3, 4, 5, 6, 8, 10, 12 and 100 of a whole object, a whole shape and a collection of objects

  * compare the relative size of fractions drawn on the same diagram, eg

  (Reasoning)

Show Fractions of Something

Matching Fractions

Compare Fractions

Create Equivalent Fractions

Find the Odd One Out

Fractotron – more, less or half (fast paced game)

Equivalent Fractions

Order Fractions

 

  • compare and order simple fractions with related denominators using strategies such as diagrams, the number line, or equivalent fractions, eg write and in ascending order

 

 

 

  • find equivalent fractions by re-dividing the whole, using diagrams and number lines, eg

 

 

 

 

 

 

 

  • record equivalent fractions using diagrams and numerals

 

  • develop mental strategies for generating equivalent fractions, such as multiplying or dividing the numerator and the denominator by the same number, eg , ie

 

 

 

 

  * explain or demonstrate why two fractions are or are not equivalent (Communicating, Reasoning)

 

  • write fractions in their 'simplest form' by dividing the numerator and the denominator by a common factor, eg

 

 

  * recognise that a fraction in its simplest form represents the same value as the original fraction (Reasoning)

  * apply knowledge of equivalent fractions to convert between units of time, eg 15/60 minutes is the same as 1/4 of an hour, which is the same as of an hour (Problem Solving)

CONTENT​​

​Students:

Compare fractions with related denominators and locate and represent them on a number line (ACMNA125)

OUTCOMES

A student:

› describes and represents mathematical situations in a variety of ways using mathematical terminology and some conventions MA3-1WM

› selects and applies appropriate problem-solving strategies, including the use of digital technologies, in undertaking investigations MA3-2WM

› gives a valid reason for supporting one possible solution over another MA3-3WM

› compares, orders and calculates with fractions, decimals and percentages MA3-7NA

Fractions and Decimals 2
ES1 Maths Links

** NOTE - Covering many of the pointers below to achieve outcomes is dependent on the focus of instruction. As such many of the activities below can be used for a variety of purposes, or to cover a range of pointers. I have therefore grouped them rather than repeating them. Instead, where I have been able to find them, I have listed instructional links below pointers where they are specifically applicable.

 

Worksheets – whilst the site is designed to share interactive site links, I have included a few worksheet sites as their display could be used on Interactive White Boards or individual computers as practise activities without the need for printing - please see the Stage 3 Home Page.

© 2013 Jenny Cottle All rights reserved.

 

 

 

 

 

 

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