Mathematics / Year 6 / Number

Curriculum content descriptions

recognise situations, including financial contexts, that use integers; locate and represent integers on a number line and as coordinates on the Cartesian plane (AC9M6N01)

Elaborations
  • extending the number line in the negative direction to locate and represent integers, recognising the difference in location between (-\(2\)) and (+\(2\)) and their relationship to zero as -\(2< 0< 2\)
  • using integers to represent quantities in financial contexts, including the concept of profit and loss for a planned event
  • using horizontal and vertical number lines to represent and find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators, above and below sea level; distinguishing a location by referencing to the \(4\) quadrants of the Cartesian plane
  • recognising that the sign (positive or negative) indicates a direction in relation to zero; for example, \(30\) metres left of the admin block is (-\(30\)) and \(20\) metres right of the admin block is (+\(20\)); programming robots to move along a number line which is either horizontal or vertical but not both at the same time
  • representing the temperatures of the different planets in the solar system, using a diagram of a thermometer that models a vertical number line
General capabilities
  • Numeracy Numeracy
ScOT terms

Cartesian coordinates,  Integers,  Number lines,  Minus sign

Interactive

The Numberline

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

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.

Downloadable

First steps in mathematics: Number – Book 2

The content of this book is organised into topics including understanding operations, calculating, and reasoning about number patterns.

Online

reSolve: Directed number

This sequence of two lessons explores directed numbers in real world situations and games, abstracting understanding to applications using the number line. In the first lesson, students develop their understanding of directed numbers by engaging in a game involving hotel elevator floors, in the second lesson students represent ...

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.

Downloadable

Ups and downs

Students position positive and negative whole numbers on a number line.

Online

Number sequence: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Number sequence. Students use horizontal and vertical number lines to find solutions to everyday problems involving locating and ordering integers around zero; for example, elevators above and below sea level. They explore integers in financial contexts, such as the ...

Downloadable

First steps in mathematics: Number – Book 1

The content of this book is organised into topics including understanding whole and decimal numbers, and understanding fractional numbers.

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.

Text

Work sample Year 6 Mathematics: Interpreting and comparing data

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 6 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 ...

Video

AERO Ochre Maths Year 6 Unit 1 - Integers and decimals

This sequence of 10 lessons will enable students to understand seven-digit numbers as well as integers and decimals.

Online

Introducing the Cartesian coordinate system

This is a website designed for both teachers and students that refers to the Cartesian coordinate system from the Australian Curriculum for year 6 students. It contains material on the Cartesian plane and includes plotting points and determining coordinates of points shown on a grid. There are pages for both teachers and ...

Interactive

Simple coordinates game

This is an interactive resource about plotting and identifying points on the Cartesian plane. The resource can be used in one of two modes. In the View mode, the student can enter the coordinates, and the corresponding point is identified on the coordinate plane when the 'Plot' button is selected. In the Guess mode, the ...

Interactive

Laptop wrap: Horology hiccup

A laptop-friendly resource focussed on the concept of time. Features guided technology-based activities.

Interactive

Syllabus bites – Cartesian coordinate system

This Bite is an introduction to the history, terminology, components and use of the Cartesian coordinate system. After completing the resource, students can proceed to six related Syllabus bites modules focusing on transformations on the Cartesian plane.

Interactive

Arithmetic four

This is an interactive game for two students in which they solve arithmetic problems, similar to 'Connect four'. The players can choose to work with whole number and integer addition, subtraction, multiplication and division. The length of time each player will have and the level of difficulty of the problems can also be ...

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 ...

Interactive

Cartesian planes

This resource is designed to support student learning in Stage 3 Mathematics. It provides an interactive introduction to the Cartesian plane, its components and the use of Cartesian coordinates.

Text

Fractions

This is a website designed for both teachers and students that addresses components of the arithmetic of fractions. It is particularly relevant for comparison and addition and subtraction of fractions with related denominators. It also contains material on finding a fraction of a quantity where the result is a whole number. ...

Interactive

Sites2See – measurement for primary

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