Unit 8- Transformations

Each day, Scholars will be expected to complete the following:

1. Complete the Problem of the Day & take notes

2. Begin working on the Task Card

3. Complete the Mid-Task Discussion/ Checkpoint

4. Self-assess on your WINK Sheet

5. Visit the Support Center for extra help materials and to check the answer keys.

Lesson #1: Rigid Motion Transformations

Learning Objective: Scholars will be able to analyze rigid motion transformations to discover their properties by looking for and making use of structure.

Jigsaw:

• Geogebra: Trends of Translations

• Geogebra: Trends of Reflections

• Geogebra: Trends of Rotations

Lesson 2: Performing Rigid Motions

Station #1: Translations

Problem of the Day:

Complete the following question on a white board or piece of graph paper. Use your video notes to help you!!

• • Perform a translation of the following figure that is four units right and four units down

Station #2: Reflections

Problem of the Day:

Complete the following question on a white board or piece of graph paper. Use your video notes to help you!!

• • Reflect the image below over the y-axis. Label it M’W’D’A’. Describe the relationship between the line of reflection and AA', the line formed by connecting point A and point A’.

Station #3: Rotations

Problem of the Day:

Complete the following question on a white board or piece of graph paper. Use your video notes to help you!!

• • Given triangle ABC with coordinates A(4, 5), B(2, 2), and C(1,5), determine the coordinates of the image of triangle ABC after a rotation 90º clockwise.

Lesson #3: Advanced Reflections and Rotations

Learning Objective: Scholars will be able to perform rotations and reflections on geometric figures and analyze their affect on the pre-image.

POD: What information would you want to know in order to prove that your reflection is the best reflection?

• Lengths

• Angles

Lesson #4: Constructing Dilations

Learning Objective: Scholars will be able to construct similar triangles using dilations by looking for and making use of structure.

Lesson #5: Dilating Geometric Figures

Learning Objective: Scholars will be able to dilate geometric figures based on different centers of dilation by looking for and making use of structure

Problem of the Day: Geogebra: Dilations

Lesson #6: Dilating Lines

Learning Objective: Scholars will be able to perform dilations centered at a point on lines and determine the relationships between the center of dilation, pre-image and image.

Lesson #7: Composition of Transformations

Learning Objective: Scholars will be able to perform compositions of transformations on geometric figures by relating them to functions and analyze their affect on the pre-image.

Problem of the Day:

Considering ΔABC with vertices A(0,-4), B(-4,2), C(-4,-4) and ΔA'B'C' with vertices A’(4,3), B’(1,1), and C’(4,1). Which composition of transformations will map ΔABC onto ΔA'B'C' ? (Dilations and rotations are centered at the origin.)

Lesson #8: Symmetry

Learning Objective: Scholars will be able to determine the various types of symmetries in a geometric figure and describe the reflections and/or rotations that maps the figure onto itself.