Fractions+&+Decimals+Yr+5

**Fractions and Decimals** Sub Strand of Number and AlgebraYear 5 Analysis

In Year 5 students move beyond what they have learnt in previous years and recognise that decimals can be extended further to involve thousandths and the equivalence of one thousandth and 0.001. Students will begin to solve addition and subtraction problems involving fractions that have the same denominator using visual representations and represent them in order on a number line along with decimals. According to Booker et al (2004, p. 220, 223) adding like common fractions is a very simple extension of the addition algorithm which is brought about by the use of a similar meaningful language starting with the understanding of establishing the process with tenths. Educators will continue to build vocabulary of terminology through using it explicitly when teaching learning experiences. In order to help this process along Siemon et al (2011) suggests to help make connection when introducing g the concepts of addition and subtraction to use other forms of identifying the unit rather than the explicit formation of fractions i.e  2 sixth  + 3 sixths  -  5 sixths
 * Background **

**T****he Australian Curriculum** Outlined below are the content description and elaborations for fractions and decimals at a year five level.
 * instead of **
 * 2/6 **
 * + 3/6 **
 * 5/6 **
 * 5/6 **
 * Content descriptors: **
 * 1) Compare and order common unit fractions and locate and represent them on a number line [|(ACMNA102)]
 * 2) Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator [|(ACMNA103)]
 * 3) Recognise that the place value system can be extended beyond hundredths [|(ACMNA104)]
 * 4) Compare, order and represent decimals [|(ACMNA105)]

<span style="font-family: 'Euphemia','sans-serif'; font-size: 16px;">recognising the equivalence of one thousandths and 0.001 <span style="font-family: 'Euphemia','sans-serif'; font-size: 16px;"> 4. locating decimals on a number line.
 * <span style="color: black; font-family: 'Euphemia','sans-serif'; font-size: 16px;">Elaborations **
 * 1) <span style="font-family: 'Euphemia','sans-serif'; font-size: 16px;">recognising the connection between the order of unit fractions and their denominators.
 * 2) <span style="font-family: 'Euphemia','sans-serif'; font-size: 16px;">modelling and solving addition and subtraction problems involving fractions by using jumps on a number line, or making diagrams of fractions as parts of shapes.
 * 3) <span style="font-family: 'Euphemia','sans-serif'; font-size: 16px;">using knowledge of place value and division by 10 to extend the number system to thousandths and beyond,

The Australain Curriculum (ACARA) (2012). Retrieved from: [| http://www.australiancurriculum.edu.au/Mathematics/Curriculum/F-10?y=4&y=5&s=NA&layout=2]