year 5 angles problem solving

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

GCSE Revision Cards

5-a-day Workbooks

Primary Study Cards

Privacy Policy

Terms and Conditions

Corbettmaths © 2012 – 2024

• Home Learning
• Free Resources
• New Resources
• Free resources
• New resources
• Filter resources
• Childrens mental health
• Easter resources

Internet Explorer is out of date!

For greater security and performance, please consider updating to one of the following free browsers

Year 5 Measuring Angles in Degrees

This Year 5 Measuring Angles in Degrees lesson covers the prior learning of identifying angles, before moving onto the main skill of measuring angles in degrees.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objective

Mathematics Year 5: (5G4a)  Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles

Mathematics Year 5: (5G4b)  Identify angles at a point and one whole turn (total 360)

Mathematics Year 5: (5G4b)  Identify angles at a point on a straight line and 1/2 a turn (total 180)

Mathematics Year 5: (5G4b)  Identify other multiples of 90

Mathematics Year 5: (5G4c)  Draw given angles, and measure them in degrees

Get the most from lessons!

Resources for teachers

Interactive activities for children

2 Teaching Support

Lesson Slides

These lesson slides guide pupils through the prior learning of identifying angles, before moving onto the main skill of measuring angles in degrees. There are a number of questions to check pupils' understanding throughout.

Modelling Powerpoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

1 Prior Learning

This worksheet recaps prior learning of identifying angles, before moving onto the main skill of measuring angles in degrees.

Interactive Activity

Year 4 Identify Angles Game includes five questions designed to check pupils' understanding of acute, obtuse and right angles.

2 Varied Fluency

This worksheet includes differentiated varied fluency questions for pupils to practise adding same decimal places in context.

This Year 5 Measuring Angles in Degrees Maths Game is designed to check pupils’ understanding of measuring angles in degrees.

2 Application

This measuring angles in degrees extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the measuring angles in degrees lesson.

Mixed Practice

This worksheet includes varied fluency, reasoning and problem solving questions for pupils to practise the main skill of measuring angles in degrees.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Discussion Problem

This measuring angles in degrees Discussion Problems includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

Challenge Activity

This Year 5 Measuring Angles in Degrees Maths Challenge checks pupils’ understanding of measuring angles in degrees within a problem solving context.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Subscription

Consolidation Pack

This Properties of Shape Consolidation Year 5 resource will help your pupils consolidate their understanding of Summer Block 2: Properties of Shape.

Home Learning Pack

This Summer week 5 Maths pack contains varied fluency, reasoning and problem solving worksheets

D Download Packs

Stay in touch.

01422 419608

[email protected]

Interested in getting weekly updates from us? Then sign up to our newsletter here!

Information

• Cookie Policy
• Privacy Policy
• Terms and Conditions

Copyright: Classroom Secrets 2024

Company number: 8401067

VAT number: 248 8245 74

• Terms & Conditions

Designed by Classroom Secrets

Use the properties of rectangles to find missing lengths and angles

Distinguish between regular and irregular polygons, reflect and translate shapes, how to help at home.

There are lots of everyday ways you can help your child to understand geometry. Here are just a few ideas.

1. Use the language of shapes

You can support your child’s learning by helping them to describe shapes in terms of properties, such as:

• The number of sides/edges
• The number of faces
• The number of   vertices /corners
• Types of angles within shapes
• Lines of symmetry (if any).

Encourage them to use specific mathematical language such as  diagonal , vertical , horizontal , parallel , acute , obtuse ,   and rig h t angle too.

2. Use 3D nets

Have a go at this 3D nets worksheet. See if your child can work out the 3D shapes just from the 2D pictures.

Activity: Nets

Practise making and understanding nets.

You could help your child make the shape by drawing and cutting out copies of the nets to check their answers.

3. Make a protractor mat

Your child will be expected to draw given angles and measure them in degrees using a protractor.

You can help your child practise using a protractor accurately by making a ‘protractor mat’. Use the corner of a piece of paper to create a 90 degree mat in the shape of a quarter circle. Mark a line for each 10°. Alternatively, create a 180 degree mat in the shape of a half circle. Mark a line for each 10°. This will help them get used to what different increments of degrees look like.

4. Find the angles in your name

Your child could write their name (or even just their initials) using straight lines and then measure the angles in their name. Which letters have the most angles? Which letters have the biggest angles?

5. Play Battleships

Coordinates are numbers that determine the position of a point on a map, grid, or graph. Coordinates are recorded using brackets, with the two numbers separated by a comma, like this: (1,2). The first number in a coordinate tells us where the point is on the x -axis (or the horizontal axis ). The second number tells us where the point is on the y -axis (or the vertical axis ).

You can help your child learn by reading and plotting coordinates. In the example below, the coordinate for the plotted point would be (5,6), where 5 is the value on the x -axis and 6 is the value on the y -axis:

Games like Battleships give your child the opportunity to use coordinates. Encourage your child to make their own Battleships grids and play with you or a sibling. This will give them a chance to draw a pair of axes with equal scales and labels, as well as practise finding and describing coordinates.

6. Coordinates shape game

Your child will be using coordinates in all four quadrants at school, including the use of negative numbers. Use 1cm-squared paper for your child to draw out a four-quadrant grid like this:

Your child will need to be able to describe and record the position of simple shapes using all four quadrants. They will use positive and negative values for x and y and will plot points on a grid to draw a given polygon.

Think of a shape that covers the four quadrants and then give your child the coordinates to see if they can draw it. You could have a go using these coordinates:

A = (2,4) B = (5,3) C = (-2,1) D = (-4,4) E = (-6,-3) F = (-2,-4) G = (2,-3) H = (5,-2)

Then, see if they can do the same for you!

• Age 3–4 (Early Years)
• Age 4–5 (Reception)
• Age 5–6 (Year 1)
• Age 6–7 (Year 2)
• Age 7–8 (Year 3)
• Age 8–9 (Year 4)
• Age 9–10 (Year 5)
• Age 10–11 (Year 6)
• Year 1 (age 5–6)
• Year 2 (age 6–7)
• Year 3 (age 7–8)
• Year 4 (age 8–9)
• Year 5 (age 9–10)
• Year 6 (age 10–11)
• Help with times tables
• Ratio & proportion
• Learning to tell the time
• Numicon parent guide
• MyMaths parent guide
• Maths activity books

• International
• Schools directory
• Resources Jobs Schools directory News Search

Year 5 Maths Assessment: angles on a wonky house

Subject: Mathematics

Age range: 7-11

Resource type: Assessment and revision

Last updated

22 February 2018

• Share through email
• Share through twitter
• Share through linkedin
• Share through facebook
• Share through pinterest

Creative Commons "Sharealike"

Your rating is required to reflect your happiness.

It's good to leave some feedback.

Something went wrong, please try again later.

Empty reply does not make any sense for the end user

Thank you so much, a far better way to approach this (second time round for us), to embed skills..

This was just what I needed for my mid ability y6 class- I challenged them to find reflex angles on the house. Perfect resource

A fun resource, thank you.

Thank you for this resource. It is a great way of covering lots of the angle objectives.

Report this resource to let us know if it violates our terms and conditions. Our customer service team will review your report and will be in touch.

Not quite what you were looking for? Search by keyword to find the right resource:

Appendix B: Geometry

Using properties of angles to solve problems, learning outcomes.

• Find the supplement of an angle
• Find the complement of an angle

Are you familiar with the phrase ‘do a [latex]180[/latex]?’ It means to make a full turn so that you face the opposite direction. It comes from the fact that the measure of an angle that makes a straight line is [latex]180[/latex] degrees. See the image below.

[latex]\angle A[/latex] is the angle with vertex at [latex]\text{point }A[/latex].

We measure angles in degrees, and use the symbol [latex]^ \circ[/latex] to represent degrees. We use the abbreviation [latex]m[/latex] to for the measure of an angle. So if [latex]\angle A[/latex] is [latex]\text{27}^ \circ [/latex], we would write [latex]m\angle A=27[/latex].

If the sum of the measures of two angles is [latex]\text{180}^ \circ[/latex], then they are called supplementary angles. In the images below, each pair of angles is supplementary because their measures add to [latex]\text{180}^ \circ [/latex]. Each angle is the supplement of the other.

The sum of the measures of supplementary angles is [latex]\text{180}^ \circ [/latex].

The sum of the measures of complementary angles is [latex]\text{90}^ \circ[/latex].

Supplementary and Complementary Angles

If the sum of the measures of two angles is [latex]\text{180}^\circ [/latex], then the angles are supplementary .

If angle [latex]A[/latex] and angle [latex]B[/latex] are supplementary, then [latex]m\angle{A}+m\angle{B}=180^\circ[/latex].

If the sum of the measures of two angles is [latex]\text{90}^\circ[/latex], then the angles are complementary .

If angle [latex]A[/latex] and angle [latex]B[/latex] are complementary, then [latex]m\angle{A}+m\angle{B}=90^\circ[/latex].

In this section and the next, you will be introduced to some common geometry formulas. We will adapt our Problem Solving Strategy for Geometry Applications. The geometry formula will name the variables and give us the equation to solve.

In addition, since these applications will all involve geometric shapes, it will be helpful to draw a figure and then label it with the information from the problem. We will include this step in the Problem Solving Strategy for Geometry Applications.

Use a Problem Solving Strategy for Geometry Applications.

• Read the problem and make sure you understand all the words and ideas. Draw a figure and label it with the given information.
• Identify what you are looking for.
• Name what you are looking for and choose a variable to represent it.
• Translate into an equation by writing the appropriate formula or model for the situation. Substitute in the given information.
• Solve the equation using good algebra techniques.
• Check the answer in the problem and make sure it makes sense.
• Answer the question with a complete sentence.

The next example will show how you can use the Problem Solving Strategy for Geometry Applications to answer questions about supplementary and complementary angles.

An angle measures [latex]\text{40}^ \circ[/latex].

1. Find its supplement

2. Find its complement

Write the appropriate formula for the situation and substitute in the given information. [latex]m\angle A+m\angle B=90[/latex] Step 5. Solve the equation. [latex]c+40=90[/latex]

[latex]c=50[/latex] Step 6. Check:

[latex]50+40\stackrel{?}{=}90[/latex]

In the following video we show more examples of how to find the supplement and complement of an angle.

Did you notice that the words complementary and supplementary are in alphabetical order just like [latex]90[/latex] and [latex]180[/latex] are in numerical order?

Two angles are supplementary. The larger angle is [latex]\text{30}^ \circ[/latex] more than the smaller angle. Find the measure of both angles.

• Question ID 146497, 146496, 146495. Authored by : Lumen Learning. License : CC BY: Attribution
• Determine the Complement and Supplement of a Given Angle. Authored by : James Sousa (mathispower4u.com). Located at : https://youtu.be/ZQ_L3yJOfqM . License : CC BY: Attribution
• Prealgebra. Provided by : OpenStax. License : CC BY: Attribution . License Terms : Download for free at http://cnx.org/contents/[email protected]