Introduction to Angles

Introduction to Angles

Objective

Students will be able to distinguish between the different types of angles (acute, obtuse, right, supplementary, complementary, vertical, and adjacent) and find unknown angle measures using angle properties.

Agenda

1. Warm Up: U7 Notebook Update

2. U7L1 Notes

3. Introduction to Angles

4. Group Whiteboard practice

5. Cool Down

6. U7L1 Practice

7. i-Ready TA worktime

​Warm Up: Update your U7 Table of Contents and i-Ready Log and glue it into your notebooks.

​ 7 Sophomore Geometry Prep

​Supplementary & Complementary Angles 5/6-7

less than 90°

Any angle equal to 1-89°

ACUTE angle

angle equals 90°

RIGHT angle

more than 90°

Any angle equal to 91-179°

OBTUSE angle

is equal to 180°

STRAIGHT angle

sum of angles equal 90°

∠XOZ + ∠ZOY = 90°

30° + 60° = 90°

Complementary angles

​sum of angles equal 180°

∠XOZ + ∠ZOY = 180°

120° + 60° = 180°

Supplementary angles

Multiple Choice

What type of angle is this?

• Straight angle
• Obtuse angle
• Acute angle
• Right angle

Multiple Choice

What type of angle is this?

• Straight angle
• Obtuse angle
• Acute angle
• Right angle

Multiple Choice

What type of angle is this?

• Straight angle
• Obtuse angle
• Acute angle
• Right angle

Multiple Select

Choose ALL the right angles

Poll

What type of angle do you see represented in the image?

• right angle

• supplementary angle

• complementary angle

Open Ended

With what we discussed in the previous slide. Try to solve x with your partners on your whiteboard. What does x equal?

Poll

What type of angle do you see represented in the image?

• right angle

• acute angle

• complementary angle

Open Ended

With what we discussed in the previous slide. How can we use the angle relationships we know to solve for x?

Solve for x on your whiteboard.

Let's apply what we know to the image below...

In your groups use one whiteboard to write your answers.

• What does your group notice?

• What does your group wonder? Use one whiteboard to write your answers.

• What angle relationships can your group identify? List them.

• Solve for x in your groups and raise your whiteboards to check your answers.

Categorize

Options (15)

a

d

b

c

30 + 50 = 180

45 + 135 = 180

80 + 100 = 180

25 + 155 = 180

45 + 45 = 90

40 + 140 = 180

20 + 70 = 90

35 + 55 = 90

10 + 80 = 90

5 + 85 = 90

30 + 60 = 90

COOL DOWN:

Sort the following into either complementary or supplementary angles.

complementary angles

supplementary angles