angles problem solving year 4

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Year levels.

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Expected level of development

Australian Curriculum Mathematics V9 : AC9M4M04

Numeracy Progression : Understanding geometric properties: P4

At this level, students understand that an angle is a figure formed by two rays sharing a common end point, called the vertex of the angle.

Use geoboards to explore different angles when creating a range of triangles, quadrilaterals and other polygons. Order the angles according to size: those that are more than, less than or equal to a right angle.

Students will demonstrate their learning of the types of angles through finding, drawing, making and describing angles. They will identify right angles and compare other angles to a right angle using language such as ‘greater than’, ‘larger’, ‘less than’ and ‘smaller’.

Teachers can provide photos or set tasks involving students taking photos so there is context to identifying angles, and allow students to find angles in an assortment of shapes and explain their use.

Teaching and learning summary

• Model how to describe an angle.
• Compare and order angles.
• Present simple angle-related problems and tasks that involve estimation.

• create, compare and order angles
• classify angles as equal to, greater than, or less than a right angle
• use digital tools to estimate and check the measurements of an angle (extension).

Some students may:

• believe that the length of the lines (rays) of the angle define the angle. Remind students that the angle is the space created by the lines (rays) and not the lines (rays) themselves, and explicitly differentiate between a larger turn and a larger space. Model two rays to create an angle; extend lengths of rays to show that the angle does not change.

The Learning from home activities are designed to be used flexibly by teachers, parents and carers, as well as the students themselves. They can be used in a number of ways including to consolidate and extend learning done at school or for home schooling.

Learning intention

• We are learning how to identify right angles.
• We are learning how to identify different angles compared to right angle.

Why are we learning about this?

• Angle measurements are used in construction and design.
• Find different angles around your home. Here are some suggestions to get you started: salad tongs, scissors, chairs, table or hands of a clock. You can even form angles with your body.
• Examine each angle and compare each object to a right angle.

Success criteria

• classify angles as equal to, greater than, or less than a right angle.

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Teaching strategies.

A collection of evidence-based teaching strategies applicable to this topic. Note we have not included an exhaustive list and acknowledge that some strategies such as differentiation apply to all topics. The selected teaching strategies are suggested as particularly relevant, however you may decide to include other strategies as well. 

Explicit teaching

Explicit teaching is about making the learning intentions and success criteria clear, with the teacher using examples and working though problems, setting relevant learning tasks and checking student understanding and providing feedback.

Questioning

A culture of questioning should be encouraged and students should be comfortable to ask for clarification when they do not understand.

Classroom talks

Classroom talks enable students to develop language, build mathematical thinking skills and create mathematical meaning through collaborative conversations.

Teaching resources

A range of resources to support you to build your student's understanding of these concepts, their skills and procedures. The resources incorporate a variety of teaching strategies.

A piece of cake

In this lesson, students explore ways to compare angles and recognise the names of different types of angles.

Angles: chalk designs: Part 2

In this lesson, students create their own chalk designs in the style of a stained-glass window that includes different types of angles.

Olympic turns

Teaching notes to support the use of Olympic sports photos that enable students to estimate the amount of turn (angle).

A comprehensive book containing an overview of geometry stages, as well as lesson ideas and a teaching framework for geometry. Sections 1 and 2 are most relevant to this level.

Teaching about angles

A collection of practical lessons designed to help students estimate and measure angles.

The Geometry of Letters

Use this lesson to explore right angles using the geometry of letters of the alphabet.

Relevant assessment tasks and advice related to this topic.

By the end of Year 4, students are comparing angles relative to a right angle using angle names.

Angle and line art

Use this as a formative assessment task to assess students' understanding of angles.

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Angles and Position - Year 4 Maths Planning and Resources

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

30 May 2018

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Four lessons covering a range of fluency, reasoning and problem solving skills relating to angles, types of angles and position. These lessons focus upon teaching children to identify different types of angles using what they already know about right angles and also to sort, compare and order angles based upon estimations of their size. Includes differentiated resources for all levels of ability and notebook files for modeling.

Objectives: 1: To recognise different types of angles.(Fluency) 2: To compare angles. (Fluency) 3: To order sets of angles. (Fluency) 4. To use angles to classify shapes. (Reasoning)

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Missing Angles Practice Questions

Click here for questions, click here for answers.

angle, right, straight line, point, full turn, vertically, opposite, basic, facts, triangle, quadrilateral

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Angles Teaching Resources for Year 4

• Teaching Resource 64
• Worksheets 28
• Teaching Slides 6
• Interactive Games 6
• Classroom Posters 5
• Task Cards 4
• Cut and Paste Worksheets 3
• Templates 3
• Sorting Activities 3
• Colour By Code Worksheets 2
• Word Walls 1
• Inquiry Based Learning Activities 1
• Logic Puzzles 1

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File formats.

• Printable PDF 52
• Google Slides 35
• Microsoft PowerPoint (.pptx) 13
• Teach Starter Publishing 65

Types of Angles Teaching Slides

Teach your students about the six main angle types with this teaching presentation perfect for primary school maths lessons.

Identifying and Naming Angles – Cut-and-Paste Worksheet

Identify acute, right, obtuse, straight, reflex and revolution angles with this cut-and-paste sorting worksheet.

Types of Angles Poster Pack

Remind your students about the most common types of angles with this set of six classroom posters.

Comparing and Naming Angles – Differentiated Worksheets

Assess your students’ understanding of angle types with the set of differentiated student worksheets.

Classifying Angles – Sorting Activity

Help students recognise different types of angles in everyday life with this hands-on sorting activity.

Angles in Our Environment Interactive Game

Bring an extra dimension of fun into your Year 3 maths classroom with an interactive game exploring angles in the environment.

Angles in the Environment Worksheet

Help your students identify acute, right and obtuse angles in the environment with this differentiated worksheet.

Printable Angle Maker Template

Create and classify some angles with this hands-on printable that is super fun to use.

Angles in Our Environment Teaching Slides

Explore angles in the environment using this comprehensive teaching presentation for Year 3 students.

Mini-Mystery – Which Key Opens the Door?

Use knowledge of 2-D shapes and right angles to solve the mystery in this fun, logic-based activity.

A World Without Right Angles – Worksheet

Help your students explore the vital role that right angles play in our environment with this differentiated maths worksheet.

Geometric Reasoning Worksheets - Year 4

2 geometric reasoning worksheets linked to the Australian Curriculum.

Angle Hunt – Interactive Maths Game

Review the six main angle types (acute, right, obtuse, straight, reflex and revolution) with an interactive digital learning activity.

Angles Bingo

Generate excitement about angles in your classroom by playing this whole-class types of angles bingo game.

Monster Right Angle Finder Template

Help your students identify right angles in the environment with this monster-inspired right angle finder.

Types of Angles Task Cards

Explore the six main types of angles with this set of 24 task cards.

Acute, Right and Obtuse Angles – Cut and Paste Worksheet

Identify acute, right and obtuse angles with this cut-and-paste sorting worksheet.

Understanding Angles – Word Wall Vocabulary Cards

Promote maths vocabulary development with this set of 15 vocabulary cards focusing on angles.

Christmas Angles Worksheets

Identify acute, obtuse, and right angles with a Christmas Angle Worksheet for Year 4.

Christmas Colouring By Number - 2D and 3D Shapes Worksheet

Practise classifying 2D and 3D shapes with a printable Christmas colouring-by-number worksheet.

Christmas Maths - Properties of Shapes Task Cards

Combine Christmas and maths with these 2D and 3D Shape Christmas Maths Activity Task Cards for Year 4.

• Angles for Year 3
• Angles for Year 5
• Angles for Year 6
• Angles for Year 7

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Year 4 Identify Angles Maths Challenge

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Play this Year 4 Identify Angles Maths Challenge  and put your knowledge of identifying angles to the ultimate test! Help Ron identify the acute, right and obtuse angles in his artwork. How long will it take you to solve the problem?

This Year 4 Identify Angles Maths Challenge checks your child’s understanding of identifying the different types of angles within a problem solving context. Children will identify and count the number of acute, right and obtuse angles in a piece of artwork that is made up of shapes.

If you would like to access  additional resources which link to this teaching slide show, you can purchase a subscription for only £5.31 per month on our sister site, Classroom Secrets .

Teacher Specific Information

This Year 4 Identify Angles Maths Challenge is designed to check pupils’ understanding of identifying the different types of angles within a problem solving context. Pupils will identify and count the number of acute, right and obtuse angles in a piece of artwork that is made up of shapes.

National Curriculum Objectives

Mathematics Year 4: (4G4) Identify acute and obtuse angles and compare and order angles up to two right angles by size

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Identify Angles: Reasoning and Problem Solving

Problem solving with right-angled trigonometry

I can use my knowledge of right-angled trigonometry to solve problems.

Lesson details

Key learning points.

• Sometimes an answer may be best left in an exact form
• When dealing with right-angled trigonometry, it is important to look at the information you have and can deduce
• Consider whether Pythagoras' theorem or trigonometric ratios are more efficient to use

Common misconception

Pupils may not be confident in knowing whether to apply Pythagoras' theorem or a trigonometric ratio.

Encourage pupils to label the diagram with all the information they have and then consider what they can deduce.

Trigonometric functions - Trigonometric functions are commonly defined as ratios of two sides of a right-angled triangle for a given angle.

Sine function - The sine of an angle (sin(θ°)) is the y-coordinate of point P on the triangle formed inside the unit circle.

Cosine function - The cosine of an angle (cos(θ°)) is the x-coordinate of point P on the triangle formed inside the unit circle.

Tangent function - The tangent of an angle (tan(θ°)) is the y-coordinate of point Q on the triangle which extends from the unit circle.

This content is © Oak National Academy Limited ( 2024 ), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).

Starter quiz

6 questions.

$$=\frac{16}{\tan(71.6^\circ)}$$

$$=\frac{16}{\sin(71.6^\circ)}$$

$$=HC+\frac{16}{\tan(71.6^\circ)}$$