(8) Inquiry Lab - Transformations
- 1. WHAT are some rigid motions of the plane? Course 3, Inquiry Lab before Lesson 6-1 Geometry
- 2. • 8.G.1 Verify experimentally the properties of rotations, reflections, and translations: • 8.G.1a Lines are taken to lines, and line segments to line segments of the same length. • 8.G.1b Angles are taken to angles of the same measure. • 8.G.1c Parallel lines are taken to parallel lines. Mathematical Practices 1 Make sense of problems and persevere in solving them. 3 Construct viable arguments and critique the reasoning of others. Course 3, Inquiry Lab before Lesson 6-1 Common Core State Standards © Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved. Geometry
- 3. Course 3, Inquiry Lab before Lesson 6-1 Activity 1 continued Geometry Animated movies are created using frames. Each frame changes slightly from the previous one to create the impression of movement. In this Activity, you will make animation frames using index cards. Arrange ten index cards in a pile. On the top card, draw a circle at the top right hand corner.
- 4. Course 3, Inquiry Lab before Lesson 6-1 Activity 1 continued Geometry Animated movies are created using frames. Each frame changes slightly from the previous one to create the impression of movement. In this Activity, you will make animation frames using index cards. On the next card, draw the same circle slightly down and to the left.
- 5. Course 3, Inquiry Lab before Lesson 6-1 Activity 1 continued Geometry Animated movies are created using frames. Each frame changes slightly from the previous one to create the impression of movement. In this Activity, you will make animation frames using index cards. Repeat this for three of four more cards until your circle is at the bottom of the card. Use the remainder of the cards to draw the circle up and to the left
- 6. Course 3, Inquiry Lab before Lesson 6-1 Geometry Animated movies are created using frames. Each frame changes slightly from the previous one to create the impression of movement. In this Activity, you will make animation frames using index cards. Place a rubber band around the stack, hold the stack at the rubber band, and flip the cards from front to back. Describe what you see when you flip the cards from front to back. ___________________________________________________________ Look at the circles on the first and second cards and then the second and third cards. How would you describe the change in the position of the circle from one card to the next?______________________________________ ___________________________________________________________ Did the shape or size of the circle change when you moved it? If yes, describe the change.___________________________________________
- 7. Course 3, Inquiry Lab before Lesson 6-1 Activity 2 continued Geometry Draw right angle XYZ on a piece of tracing paper. Place a dashed line on the paper as shown.
- 8. Course 3, Inquiry Lab before Lesson 6-1 Geometry Fold the paper along the dashed line. Trace the angle onto the folded portion of the paper. Unfold and label the angle ABC so that A matches up with X, B matches up with Y, and C matches up with Z. tape the paper to your book. andXYZ ABC Use a protractor to find the measure of . Did the measure of the angle change after the flip? _____________________ Use a centimeter ruler to measure the shortest distance from X and A to the dashed line. Repeat for Y and B and for Z and C. What do you notice? ___________________________________________________ _________________________________________________________ _________________________________________________________
- 9. Course 3, Inquiry Lab before Lesson 6-1 Activity 3 continued Geometry Place a piece of tracing paper over the trapezoid shown. Copy the trapezoid. Draw points A, B, and C. Draw .AB
- 10. Course 3, Inquiry Lab before Lesson 6-1 Geometry Place the eraser end of your pencil on A. Turn the tracing paper until passes through C. Tape the paper to your book. Did the shape of the trapezoid change when you moved it? If yes, describe the change._________________________ ________________________________ AB Did the size of the trapezoid change when you moved it? If yes, describe the change. _______________________________________
- 11. Course 3, Inquiry Lab before Lesson 6-1 WHAT are some rigid motions of the plane? Geometry