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Mathematics / Year 5 / Measurement and Geometry / Geometric reasoning

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

Estimate, measure and compare angles using degrees. Construct angles using a protractor (ACMMG112)

Elaborations
  • measuring and constructing angles using both 180° and 360° protractors
  • recognising that angles have arms and a vertex, and that size is the amount of turn required for one arm to coincide with the other
General capabilities
  • Numeracy Numeracy
ScOT terms

Angles,  Degrees (Angles),  Accuracy and precision

Video

Daredevil geometry

What does a daredevil jumps rider need to know about geometry? Find out as we discover angles for take off and for landing. But before we do that sit down for some angles basics! A good place to start is angles of turn through a circle from a 1/4, 1/2, 3/4, all the way to one full turn. See how many each represents as an angle.

Online

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 ...

Online

Angles - measurement, construction, estimation

This is a website designed for teachers and students in year 5, and addresses the topic of angles. It contains material on the vocabulary used when dealing with angles, and introduces the measurement and construction of angles using a protractor. There are pages for both teachers and students. The student pages contain ...

Interactive

Wishball challenge: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, 7664. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. Be careful not to overshoot ...

Audio

Andy Thomas describes his first flight into space, 2008

This is an edited sound recording of Australian astronaut Andy Thomas talking about his first flight into space in May 1996. Thomas describes the experience of taking off aboard the US space shuttle Endeavour, and how he was able to look down from space on the city of his birth, Adelaide, at night. He also describes how ...

Online

Primary mathematics: games, simulations and modelling

These seven learning activities, which focus on 'games, simulations and modelling' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use games, ...

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

Wishball: hundreds

Test your understanding of place value with three-digit numbers. Start with a three-digit whole number such as 507. A spinner provides a randomly generated digit. Choose its place value and add it to (or subtract it from) your starting number. Work towards a given target number, say 539, using other digits. You can choose ...

Online

Comparing fractions: strategies: assessment: teacher guide

Use this resource with 'Comparing fractions: strategies: assessment' (L9771). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to comparing fractions and deciding which pair of fractions is larger, ...

Interactive

Wishball challenge: hundreds

Challenge your understanding of place value in whole numbers up to 999. Receive a starting number, such as 328, and work towards turning it into a target number, such as 177, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting ...

Interactive

Cassowary ecology quiz

Explore facts about the life of cassowaries: physical characteristics; diet; habitat; life cycles; and locations. Interact with graphs to see how much people can help cassowaries. Work through ecology notes and resources. Answer questions as you go; express your answers as fractions. This learning object is one in a series ...

Audio

Bob Brown recalls the launch of the Blue Streak, 2006

This is an edited sound recording of Bob Brown recalling the excitement in Woomera in South Australia at the intended first launch of a Europa Blue Streak rocket from the nearby rocket range in June 1964. He tells how hundreds of families gathered to watch, only to be let down when the launch was cancelled with just seconds ...

Audio

Ian Ritchie describes the launch of the Blue Streak, 2006

This is an edited sound recording of Ian Ritchie recalling the first launch of a Europa Blue Streak rocket from the Woomera rocket range in South Australia on 5 June 1964. Ritchie, an engine technician at the range, tells of the noise at lift-off and how the first flight of the rocket was cut short. The recording was made ...

Online

Comparing fractions: assessment: teacher guide

Use this resource with 'Comparing fractions: assessment' (L7736). First, see a profile of that assessment object, which gives you some helpful background information. Then follow clear guidelines on the interpretation of student input related to comparing fractions and deciding which pair of fractions is larger, or if they ...

Interactive

Wishball challenge: tens

Challenge your understanding of place value in whole numbers up to 99. Receive a starting number, such as 86, and work towards turning it into a target number, such as 18, within 20 turns. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Video

Rounding whole numbers: 2

This is a video demonstration of rounding a whole number to the nearest thousand. In the commentary, the presenter explains the thinking behind the process of rounding such numbers and presents a visual representation of rounding whole numbers using a number line. Practice questions with answers are included, and hints ...

Text

Tessellating tiles

In this teaching resource students learn how to construct shapes that will tessellate (or tile) a plane area. Starting with a regular shape known to tessellate (square, equilateral triangle, hexagon), students apply geometrical transformations to the sides of the shape to create new shapes that tessellate. There are links ...

Online

MoneySmart: Hey! Let's have a big day out!

This is a year 5 mathematics unit of work about costing and budgeting for various types of family outings. The unit is intended to take about 7.5 hours of teaching and learning time, and is recommended for near the end of the school year. It consists of an introduction, five sets of student activities, and teacher notes ...

Interactive

Angle Types

An animated tutorial about types of angles followed by an interactive quiz.

Interactive

Wishball: whole numbers

Test your understanding of decimal place value with whole numbers. Receive a starting number, such as 3786, and work towards turning it into a target number, such as 7664. Spin a random digit, choose its decimal place value and decide whether to add or subtract the random digit from your starting number. You can use a 'Wishball' ...