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

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 ...

Interactive Resource

Angle estimator

This is an interactive resource containing two activities about estimating and measuring angles. In the angle estimation activity, users can select acute, obtuse or reflex angles, or any angle between zero and 360 degrees. In the angle drag activity, one arm of the angle can be dragged to rotate around the vertex, creating ...

Interactive Resource

Angles (estimating angle size)

This is a six-page HTML resource about solving problems involving estimating angle size. It contains one video and three questions, two of which are interactive. The resource discusses and explains solving problems to reinforce students' understanding.

Teacher resource

Measuring angles

Use these resources to develop your students' skills in measuring and constructing different angles, classifying angles in relation to a right angle and understanding of properties of angles. Students apply their understanding of how to use a protractor through fun and familiar contexts.

Moving Image

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.

Interactive Resource

Free protractor

This iPad app is a digital 180-degree protractor. Angles can read from the right or left of the perpendicular, and acute and obtuse angles are shown in different colours. Angles can be set by moving the pointer or using the keyboard to enter the required degree of angle. The angle can also be locked when taking readings.

Interactive resource

HOTmaths: exploring bearings

Use a map of New South Wales and a virtual compass to calculate the bearing of one town to another.

Teacher resource

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 ...

Text

BBC Bitesize: angles - revision

This set of illustrated information sheets summarises facts related to angle types, measuring and estimating the size of angles, and the angle sum of triangles and quadrilaterals. Students are given the opportunity to try examples. Worked solutions are available. This resource is one of a series of online resources from ...

Interactive resource

Hopper: whole numbers

Help a frog to jump along a number line. Estimate the finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 255+(10 x 4) = 295. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing spots' ...

Interactive resource

Hopper: tenths

Help a frog to jump along a number line. Estimate the 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 spots' ...

Interactive resource

Wishball challenge: tenths

Test your understanding of decimal place value with numbers that include tenths. Receive a starting number, such as 128.9, and work towards turning it into a target number, such as 845.6. Spin a random digit, choose its decimal place value and use the given operation (either addition or subtraction) on your starting number. ...

Interactive resource

Hopper challenge: whole numbers

Help a frog to jump along a number line. Estimate the exact finishing point on a number line, after adding or subtracting multiples of whole numbers to a starting number. For example, 1+ (5 x 2) = 11. Explore the patterns made on a counting grid and number line. Identify counting rules that match the pattern of 'landing ...

Interactive resource

Wishball challenge: 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 use the given operation (either addition or subtraction) on your starting ...

Tablet friendly (Interactive resource)

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 ...

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 ...

Teacher resource

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 resource

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 ...

Teacher resource

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, ...