Mathematics / Year 5 / Number and Algebra / Fractions and decimals

Curriculum content descriptions

Recognise that the place value system can be extended beyond hundredths (ACMNA104)

Elaborations
  • using knowledge of place value and division by 10 to extend the number system to thousandths and beyond
  • recognising the equivalence of one thousandths and 0.001
General capabilities
  • Numeracy Numeracy
ScOT terms

Place value,  Decimals

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Work sample Year 5 Mathematics: Who were the fastest swimmers?

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

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Work sample Year 5 Mathematics: Locating decimals

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 5 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Interactive

Wishball: hundredths

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. ...

Video

What are pixels?

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

Interactive

The foul food maker: go figure

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 ...

Interactive

The Numberline

An interactive tool that can help students explore a number line, including points representing integers, fractions and decimals

Online

TIMES Module 9: Number and Algebra: multiplication of whole numbers - teacher guide

This is a 23-page guide for teachers. This module contains a description of suitable models for multiplication, a discussion of the types of problems that require multiplication for their solution, and mental and written strategies for multiplication. The use of the commutative, associative and distributive laws is described. ...

Online

TIMES Module 8: Number and Algebra: subtraction of whole numbers - teacher guide

This is a 16-page guide for teachers. This module continues the consideration of whole numbers.

Online

TIMES Module 7: Number and Algebra: addition of whole numbers - teacher guide

This is a 16-page guide for teachers. This module introduces addition of whole numbers.

Online

TIMES Module 5: Number and Algebra: using place value to write numbers - teacher guide

This is a 16-page guide for teachers. a module that introduces place value.

Online

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

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 ...

Online

TIMES Module 14: Number and Algebra: fractions - teacher guide

This is a 16-page guide for teachers that provides an introduction to fractions. It covers ordering, the four basic arithmetic operations, cancelling, writing in simplest form, the use of the area model for multiplication and the use of the number line for ordering, adding and subtracting. A history of the development of ...

Online

TIMES Module 10: Number and Algebra: division of whole numbers - teacher guide

This is a 26-page guide for teachers. This module contains a description of suitable models for division, a discussion of the types of problems that require division for their solution, and mental and written strategies for division.

Interactive

Summing Decimals

An interactive resource in which students learn how to add and subtract numbers that have up to two decimal places.

Interactive

Sites2See – number for primary

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

Interactive

Playground percentages

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.

Online

Place value: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Place value. Students extend understanding of place value by interpreting, comparing and ordering decimal numbers including tenths, hundredths, thousandths and beyond. Students apply multiplicative thinking to explain and model the relationship between consecutive places ...

Interactive

Ordering Decimals

An animated tutorial about ordering numbers with up to 3 decimal places. An interactive quiz is included.

Downloadable

Operations: Foundation to Year 9

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.

Downloadable

Number: Foundation to Year 9

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.