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NA2-5: Know simple fractions in everyday use.

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Elaboration on this Achievement Objective

This means students will understand the meaning of the digits in a fraction, how the fraction can be written in numerals and words, or said, and the relative order and size of fractions with common denominators (bottom numbers). Fundamental concepts are that fractions are iterations (repeats) of a unit fraction, for example, 3/4 = 1/4 + 1/4 + 1/4 and 4/3 = 1/3 + 1/3 + 1/3 + 1/3 . This means the numerator (top number) is a count and the denominator tells the size of the parts, for example, in 4/3 there are four parts. The parts are thirds created by splitting one into three equal parts. This means that fractions can be greater than one, for example, 4/3 = 1 1/3, and that fractions have a counting order if the denominators are the same, for example, 1/3, 2/3, 3/3, 4/3... Note that whole numbers can be written as fractions, for example = 1. Fractions in everyday usage include halves, thirds, quarters (fourths), fifths, eighths, and tenths.

 

Teaching resources for this Achievement Objective
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365 Penguins

Level Two
Integrated
Picture book activities
This is an activity based on the picture book 365 Penguins
  • Students will be able to relate the features of the calendar to their number knowledge.
  • Students will be able to demonstrate how grouping is efficient way to organise their thinking and operating with larger numbers.
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An even spread

Level Two
Number and Algebra
Rich learning activities
The purpose of this activity is to engage students in carrying out a division, where the solution is not a whole number.
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Big and Small

Level Two
Integrated
Rich learning activities
The purpose of this activity is to engage students in applying their knowledge of fractions in a geometric context.
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Big Teeth

Level Two
Integrated
Rich learning activities
The purpose of this activity is to engage students in using a non-standard unit to give a measurement involving fractions.
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Equal parts

Level Two
Number and Algebra
The purpose of this activity is to support students in recognising when parts of a whole are equal and when the correct number of parts is shown in reference to a given unit fraction. A strip is used as an easy length model and fraction representation for students to work with, although other area...
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Fair Shares

Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties
  • Shading a fraction of an object that has been partitioned into equal pieces
  • Shading a fraction of a set of objects
  • Completing a shape (or set of objects) if only part of it is given
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Folding fractions

Level Two
Number and Algebra

The purpose of this activity is to support students in equally partitioning a whole length into a given number of parts. Students learn to meet the three criteria for partitioning a whole: parts are equal in size the correct number of parts are formed the one whole (the strip) is completely used...

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Fraction Circles

Level Two
Number and Algebra
Numeracy activities

Order fractions with the same denominator.

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Fractions on a number line

Level Two
Number and Algebra

The purpose of this activity is to support students in creating a mental number line for fractions, particularly non-unit fractions with the same denominators.

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Fraction wafers

Level Two
Number and Algebra
Secondary activities
These exercises and activities are for students to use independently of the teacher to practice number properties.
  • Divide items into equal pieces
  • Share by dealing pieces
  • Use the symbols for the mixed numbers and improper fractions
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Hot Stuff!

Level Two
Number and Algebra
Figure It Out activities
This is a level 2 number activity from the Figure It Out series. It relates to Stage 5 of the Number Framework. A PDF of the student activity is included.

explore fractions over 1

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How Full is the Jar?

Level Two
Integrated
Rich learning activities
The purpose of this activity is to engage the students to use proportional reasoning and their knowledge of volume to solve a problem involving fractions.
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Matching unit-fraction words, symbols, and amounts

Level Two
Number and Algebra
The purpose of this activity is to support students connecting the words and symbols for unit fractions with visual amounts. In this lesson the one whole is presented as a single strip.
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My Map Book

Level Two
Integrated
Picture book activities
This is an activity based on the picture book My Map Book

Students will be able to communicate a proportional relationship and the connections between elements using the conventions of simple mapping.

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My Savings

Level Two
Number and Algebra
Rich learning activities
The purpose of this activity is to engage the students to use their knowledge of fractions to complete a whole.
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Non-unit fractions

Level Two
Number and Algebra

The purpose of this activity is to support students understanding that non-unit fractions are counts of unit fractions. For example, 3/4 = 1/4 + 1/4 + 1/4, meaning three quarters is three counts of one quarter.

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Symbols and sets

Level Two
Level Three
Number and Algebra
Units of Work
This unit builds upon the students’ experiences of making, naming and recognising common fractions using different physical representations. Its purpose is to develop understanding of fractions of sets, and the formal language and symbols associated with simple fractions and their representations.
  • Read and write words and symbols for fractions.
  • Introduce the terms ‘unit fraction’ and ‘proper fraction’, numerator and denominator.
  • Make and understand different ways to represent 1 (whole).  
  • Use regional representations to find fractions of sets.
  • Solve problems that involve finding the whole from a300
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Th numbers

Level Two
Number and Algebra
Numeracy activities
In this activity students learn that the code in English for fraction is that the words end in -“th”

realise that the meaning of fraction words one "x-th" is that it is the name for a share when one whole object or number is split into "x" equal pieces.