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

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

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.

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 ...

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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.

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

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 ...

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Ups and downs

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

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.

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

The Numberline

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

Interactive

Sustainable transport – sustainability action process (Years 3–6)

This sustainable transport learning resource will guide students through an extended school based investigation. Students will develop and implement a chosen sustainability action and then evaluate and reflect on their success and their learning.

Video

MathXplosion, Ep 33: On the grid

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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MathXplosion, Ep 6: Zero the hero

What is the role of zero as a placeholder for large numbers such as 1 million, 1 billion and 1 trillion? Find out about the notion of place value and powers of ten through the act of bead counting.

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MathXplosion, Ep 1: Magic 9s

Follow these simple calculations to illustrate the special properties of the number 9. Pick your favourite number between 1 and 9 and multiply that number by 3. Add 3 to your answer. Multiply the result by 3. Treat your two-digit answer as two separate numbers and add them together. No matter what number you pick to start ...

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Mixed Up Maths, Ep 4: Late again!

Ever missed an appointment because you misread a timetable? Well it is easily done if you don't know how to read 24 hour time. In this clip, see how to read 24 hour time and find out where it is commonly used. Look at the other time system used -12 hour time. Find out what those letters 'am' and 'pm' really mean! Compare ...

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

Time and duration: Year 6 – planning tool

This planning resource for Year 6 is for the topic of Time and duration. Students develop fluency in reading and interpreting a timetable or schedule.

Downloadable

How many in the queue?

Students use visualising and movement activities to develop an understanding of the relationship between variables.

Interactive

Sites2See – measurement for primary

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