Lesson 1 - Exploring complementary and supplementary angles

Introduction

Watch the video for an introduction to the lesson.

Overview

Duration 1:30

Angles can be named in a variety of ways.

We need to be able to name angles using the pronumerals provided so that it is clear which angle we are describing and referring to.

Types of Angles | Geometry | Maths | FuseSchool

Duration: 3:11

Naming Angles

Duration: 1:30

Move either point A or point C to create a new angle.
Write the name of the angle using both Method 1 and Method 2 into your exercise book or folder.
Use the Method 1 and 2 checkboxes to check your answer.
Repeat steps 1-3 four more times.
Rename the points using the check box.
Name five new different angles using the new names.

Now that you are confident at naming angles, lets explore how many right angles you can find.

Click on the image to open the Right-angled Request page on the NRICH maths website in a new tab.
In your exercise book or folder:
- Copy the diagram.
- Write out all the right angles you can find, using either Method 1 or 2 to name each angle.

Explore complementary angles using the embedded GeoGebra applet.
1. Drag the pink and blue dots around to see how the angles change.
2. Use the purple slider to change the size of the angle.
3. Use the black slider to move the angles over to the right angle near the yellow dot so you can see the relationship between them.
Next, use the applet to complete the questions in the interactive.
When you have answered all the questions, click the blue arrow in the bottom of the interactive.
Click the button to create a document containing your answers.
Click Export text to download a word document containing your work, which you can then share with your teacher.

Explore supplementary angles using the embedded GeoGebra applet.
1. Drag the pink slider to see how the angles change.
2. Use the black slider to move the angles down to a straight line so you can see the relationship between them.
Next, use the applet to complete the questions in the interactive.
When you have answered all the questions, click the blue arrow in the bottom of the interactive.
Click the button to create a document containing your answers.
Click Export text to download a word document containing your work, which you can then share with your teacher.

Now that you know that complementary angles add to 90° and supplementary angles add to 180°, see if you can find the missing angles in this quiz.

Complete the Angular Reflection task on the NRICH website.
- Copy the question into your exercise book or folder and then show all your working.
Complete the Robo-turn task on the NRICH website.
- Copy the question into your exercise book or folder and then write out all your thinking to answer the question. You might like to start by drawing a diagram.

Don't forget to hand in the work you completed today!

Your teacher will have told you to do one of the following:
- Upload any digital documents you created and any photos you took of your written work to your Learning Management system (MS Teams, Google Classroom for example).
- Email any digital documents you created and any photos you took of your written work to your teacher.

Make sure you keep any hand written work you did in your exercise book or folder as your teacher may need to see these when you are back in class.

Let us know how you feel about this lesson.

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