Mathematics / Year 6 / Number and Algebra / Number and place value

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Investigate everyday situations that use integers. Locate and represent these numbers on a number line (ACMNA124)

Elaborations
  • understanding that integers are ...-3, -2, -1, 0, 1, 2, 3,.....
  • solving everyday additive problems using a number line
  • investigating everyday situations that use integers, such as temperatures
  • using number lines to position and order integers around zero
General capabilities
  • Numeracy Numeracy
  • Critical and creative thinking Critical and creative thinking
ScOT terms

Number lines,  Integers

Interactive Resource

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 resource

Integer cruncher: addition

Use counters to model the addition of integers, for example (-2)+(+5)=(+3). See the calculations represented in an alternate form on a number line. This learning object is one in a series of four objects.

Interactive Resource

The Numberline

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

Interactive resource

Scale matters: negatives

Explore the use of scale on a number line. Select a ruler displaying a helpful scale such as ones. Look at a pair of numbers such as -5 and -2 marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked scale ...

Interactive resource

Scale matters: range of numbers

Explore the use of scale on a number line. Select a ruler displaying a scale such as ones, tenths or hundredths. Look at a pair of numbers marked on a number line. Identify the number corresponding to another point. Or locate another point on the number line to complete a series of three numbers. Apply a marked scale to ...

Teacher resource

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 ...

Tablet friendly (Interactive resource)

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.

Interactive resource

Wishball: tournament

Challenge your understanding of place value in whole numbers and decimal fractions, from 0.001 to 9999. Either add or subtract numbers to reach a target number. For example, receive a starting number of 39.61. Spin the number 5 and decide whether to add or subtract 0.05, 0.5, 5 or 50 to reach your target number of 70.12 ...

Interactive resource

Fraction fiddle: tool

Use a tool to explore what happens when you change the numerals in a fraction. Compare two fractions and find out which is larger. For example, decide whether 4/3 is larger than 7/5. Build the two fractions. Compare the fractions on a number line. A handy tool for use on an interactive whiteboard.

Tablet friendly (Interactive resource)

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. ...

Interactive resource

Rainforest: book a flight

Travel to a national park in Victoria. Practise using 24-hour time. Select departure and arrival locations on a map of Australia and New Zealand. Use a timetable to book the most suitable flight. As you go, look up the meaning of tricky words. This learning object is the third in a series of nine objects. Eight objects ...

Interactive resource

Design a school

Help a town planner to design a site plan for a school. Using a 10x10 grid, design areas for four regions (library, car park, lawn and canteen) based on the percentages given. Assign the area for an additional two regions, using percentages of your choice. Use a number line to indicate the equivalent fractions for two regions. ...

Interactive resource

Hopper: hundredths

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of hundredths to a starting number. For example, 1.72 + (11 x 0.07) = 2.49. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

Interactive resource

Hopper challenge: tenths

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of tenths to a starting number. For example, 29.5+(12 x 0.2) = 31.9. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

Interactive Resource

Equivalent fractions pointer

This is an interactive resource about fractions. It presents students with a fraction and its equivalent visual representations as both the shaded portion of a shape and as the location on a number line. Students are also presented with two other empty shapes, and are required to divide each blank shape into equal portions ...

Interactive resource

The difference bar: go figure

This tutorial is suitable for use with a screen reader. It explains how to split up numbers in your head when finding the difference between two numbers such as 26 and 73. Work through sample questions and instructions explaining how to use linear partitioning techniques. Find the difference between pairs of numbers. Split ...

Teacher resource

Partitioning: the missing link in building fraction knowledge and confidence

This professional article written by renowned mathematics educator Dianne Siemon focuses on students' understanding of fractions in the middle years (years 5-9). It identifies partitioning as the missing link between early years' understanding of fractions and the understandings required to work with rational numbers in ...

Collection

Mixed-Up Maths

Join our host, Ed, as he finds himself in all types of situations where only his knowledge of Maths can help him. From saving the planet from Aliens, to creating a superhero that can stop a strawberry milkshake tidal wave. From searching for buried treasure, to jumping like a daredevil, or planning the greatest circus party ...

Tablet friendly (Interactive resource)

Rainforest: make a walking track

Mark the route for a walking track on a map of a rainforest. Choose a section of track based on instructions about distances, compass directions and grid references. Keep adding sections of track to get to the rest house. As you go, look up the meaning of tricky words.

Moving Image

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 ...