Created on: September 10, 2008

Website Address: https://library.curriki.org/oer/Lesson--Rotation

TABLE OF CONTENTS

- Cluster - MA.8.CCSS.Math.Content.8.NS The Number System
- Curriki Project Based Geometry
- Cluster - MA.8.CCSS.Math.Content.8.EE Expressions and Equations
- Cluster - MA.8.CCSS.Math.Content.8.F Functions
- Cluster - MA.8.CCSS.Math.Content.8.G Geometry
- Cluster - MA.8.CCSS.Math.Content.8.SP Statistics and Probability

- Selling Geometry
- Designing a Winner
- What's Your Angle, Pythagoras?
- TED Talk: House of the Future
- The Art of Triangles
- How Random Is My Life?
- Introduction to Angles
- Lesson -- Drawing right triangles from word problems
- Accessing Curriki Geometry Projects
- Introduction to Curriki Geometry

- The Art of Triangles Resources
- Curriki Geometry Tools and Resources
- Problems -- Triangles and Congruence
- Problems -- Triangles
- The Art of Triangles Teacher Edition
- The Art of Triangles Student Edition

- Quiz - 8.SP Statistics and Probability: Investigate patterns of association in bivariate data: Standards: 8.SP.1, 8.SP.2, 8.SP.3, 8.SP.4
- 8.SP.1 Investigate patterns of association in bivariate data: Construct and interpret scatter plots
- 8.SP.2 Investigate patterns of association in bivariate data: Straight lines as models
- 8.SP.3 Investigate patterns of association in bivariate data: Use the equation of a linear model to solve problems
- 8.SP.4 Investigate patterns of association in bivariate data: Frequencies and relative frequencies

- Selling Geometry Resources
- Curriki Geometry Tools and Resources
- Lesson -- Rotation
- The World Runs on Symmetry
- Lesson -- Dilations and Isometry
- Lesson -- Composition of Transformations
- Cool Math 4 Kids: Tessellations
- Tessellations.org
- Euclid
- About Cloze Notes
- What's the point of Geometry? - Euclid
- Selling Geometry Project Teacher Edition
- Selling Geometry Project Student Packet

Lesson: Performing Rotations

Prerequisite Knowledge: Students must have prior knowledge the coordinate plane. They must have knowledge regarding right angles.

Learning Objectives: Students will be able to identify a rotation. Students will be able to visualize a rotation about the coordinate plane. Students will be able to perform regular polygon rotations of 90, 180 and 270 degrees on a coordinate plane.

Key Ideas: Rotations of (x,y) about the origin

Rotation of 90 (-y,x)

Rotation of 180(-x,-y)

Rotation of 270 (y, -x)

Motivational Problem: Have each student take two pieces of patty paper. On both of the pieces, have the students draw an x and y axis in dark marker. On one piece of patty paper, have students draw a regular polygon in the first quadrant. In their notebooks ask them to sketch the polygon as they rotate the figure 90°, 180° and 270°.

This can be modeled by teacher using a transparency on the overhead.

Important Questions: What is a center of rotation? Explain why rotating 90 degrees clockwise is the same thing as rotating 270 counter clockwise.