Mathematics / Year 5 / Measurement and Geometry / Geometric reasoning

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

Interactive

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 ...

Video

Mixed Up Maths, Ep 7: 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

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 ...

Downloadable

Skateboard skills

Students identify the components and properties of angles.

Text

Stellar navigation and mathematics

Before GPS, there were many ways to navigate, including using the stars. In this resource, students and teachers will learn about celestial positions, the azimuth and altitude to shape their understanding of traditional navigational techniques.

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 ...

Interactive

Invictus Games Sydney 2018 – Stage 3 – Adaptivity and Invictus

This Stage 3 unit explores the idea of ‘adaptivity’ and identity across a number of KLAs. Students will answer the question ‘What is adaptivity?’ and will develop an understanding of how adaptivity serves inclusivity, especially in relation to adaptive sport. Students will explore the history and future of prosthetics. ...

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

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.

Interactive

Waste and materials – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on waste and materials using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate ...

Interactive

Kitchen gardens – sustainability action process (Years 3–6)

This resource guides students through an extended school-based or local investigation focussed on kitchen gardens using the five-step sustainability action process. The resource supports the investigation of a real-world issue or problem. Students develop and implement a chosen sustainability action and then evaluate and ...

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 ...

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 ...

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, ...

Online

Home energy use

Reducing carbon dioxide emissions and sustainable energy use and are two of the major issues facing the world today. This project explores energy use in homes, and compares individual energy use with the class average and calculate and graph CO2 emissions.

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 ...

Interactive

Sites2See: Space and Geometry for Primary

Selected links to online resources that can support the teaching and learning of geometry for primary-aged students.

Online

Angles and parallel lines: Year 5 – planning tool

This planning resource for Year 5 is for the topic of Angles and parallel lines. Students when working with angles, describe the amount of turn or rotation and develop their estimation and measurement skills.

Downloadable

Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

Text

The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.