Graphing and Describing 90° and 270° Rotations about the ...

Lesson:

Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Day 6 ? Supplement Lesson Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Teacher Lesson Plan

CC Standards 8.G.3 Describe the effect of dilations, translations, rotations, and reflections on two-dimensional

figures using coordinates.

Objective TSW... Graph and Describe 90? and 270? rotations about the origin.

Mathematical Practices #1 Make sense of problems and persevere in solving them. #6 Attend to precision. #7 Look for and make use of structure. #8 Look for and express regularity in repeated reasoning.

Note to teachers:

Be sure to teach this lesson from the PowerPoint, not the student notes. You will be missing part of the lesson otherwise.

Teacher Input

Bellwork: Review bellwork.

Homework: Review important problems assigned the previous night.

Introduction: Introduce as directed on the PowerPoint.

Lesson:

Teach as directed in the PowerPoint. Be sure to look at the notes on each slide for additional

instruction and answers.

Practice Classwork Homework

Click on each link below to watch a YouTube video that explains how to graph using rules (around origin).

180 degree rotations (3:58)



90 degree clockwise rotations (13:33)

90 degree CCW rotations (12:57)



Note... The above videos are included in the PowerPoint so that you can show them to your students if you are able to. The last two videos are longer. There is a portion at the end of the video that you can skip if necessary.

All 3 rotations:



Note...This video can be shown on a Review Day.

1|Page

Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Section 1: Rotating 90? about the Origin

Student Notes

Guided Practice #1

You Try #2

Rotate EFG 90? clockwise.

Rotate QRS 90? clockwise.

Pre-image

Image

Guided Practice #2 Rotate Figure EFGH 90? counter-clockwise.

Pre-image

Image

You Try #2 Rotate Figure EFGH 90? counter-clockwise.

Pre-image

Image

Pre-image

Image

2|Page

Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Using RULES to Rotate 90? about the Origin. 90 ? CLOCKWISE

RULE:

Swap the x and y values; Change the sign of the 2nd coordinate

to the opposite.

(x, y) (y, -x)

EXAMPLE:

Pre-image Image

A(3, 5)

A'(5, -3)

B(4, 1)

B'(1, -4)

C(2, 1)

C'(1, -2)

90? COUNTER-Clockwise

RULE:

Swap the x and y values;

Change the sign of the 1st coordinate

to the opposite.

(x, y) (-y, x)

EXAMPLE:

Pre-image

Image

A(1, 2)

A'(-2, 1)

B(2, 3)

B'(-3, 2)

C(3, 1)

C'(-1, 3)

Rules for Rotating 270? If asked to rotate 270? clockwise... use the rule for 90? CCW. If asked to rotate 270? counter-clockwise... use the rule for 90? clockwise.

3|Page

Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Guided Practice #3 Rotate EFG 90? clockwise.

You Try #3 Rotate QRS 90? clockwise.

Pre-image

Image

Pre-image

Image

Guided Practice #4 Rotate Figure EFGH 90? counter-clockwise.

You Try #4 Rotate Figure EFGH 90? counter-clockwise.

Pre-image

Image

Pre-image

Image 4|Page

Graphing and Describing 90? and 270? Rotations about the Origin (0, 0)

Name______________________________________ Date________ Period ____

Classwork

90? Rotations

1)

2)

3)

4)

5|Page

 ................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download