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Course Stretching and Shrinking 6 th Grade Math HOMEWORK Page 630 #19

Course Tables and Functions Our Learning Goal Students will understand functions by creating tables and graphing translations.

Course Tables and Functions Students will understand functions by creating tables and graphing translations. Learn to use data in a table to write an equation for a function and to use the equation to find a missing value. Learn to represent linear functions using ordered pairs and graphs. Learn to use translations to change the positions of figures on a coordinate plane. Learn to use reflections to change the positions of figures on a coordinate plane. Learn to use rotations to change positions of figures on a coordinate plane. Learn to visualize and show the results of stretching or shrinking a figure.

Today’s Learning Goal Assignment Learn to visualize and show the results of stretching or shrinking a figure. Course Stretching and Shrinking

12-6 Stretching and Shrinking Course 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Problem of the Day Problem of the Day

Warm Up ABCD has vertices (–4, 1), (0, 1), (–3, 4), and (1, 4). What are the vertices of ABCD after it has been rotated clockwise 180° about the origin? (4, –1), (0, –1), (3, –4), (–1, –4) Course Stretching and Shrinking

Problem of the Day Alice was 4 feet tall. She took a bite of one side of the caterpillar’s mushroom and became 5 times as tall! Then she took a bite of the other side of the mushroom and became times as tall. She took a bite from each side two more times. How tall was Alice then? 1 4 __ 7 feet ___ Course Stretching and Shrinking

Additional Example 1A: Stretching Figures Write the dimensions of each part of the figure. Stretch the figure as stated and give the new dimensions of each part. A. Increase the horizontal dimensions of the face, eyes, and mouth by a factor of 3. Course Stretching and Shrinking

Additional Example 1A Continued Original DimensionsNew Dimensions Face Vertical 8 Horizontal 9 Vertical 8 Horizontal 27 Eyes Vertical 2 Horizontal 2 Vertical 2 Horizontal 6 Mouth Vertical 2 Horizontal 5 Vertical 2 Horizontal 15 Course Stretching and Shrinking

Try This: Example 1A Write the dimensions of each part of the figure. Stretch the figure as stated and give the new dimensions of each part. A. Increase the horizontal dimensions of the face, eyes, and mouth by a factor of 3. Course Stretching and Shrinking

Additional Example 1A Continued Original DimensionsNew Dimensions Face Vertical 5 Horizontal 6 Vertical 5 Horizontal 18 Eyes Vertical 1 Horizontal 1 Vertical 1 Horizontal 3 Mouth Vertical 1 Horizontal 2 Vertical 1 Horizontal 6 Course Stretching and Shrinking

Original Dimensions New Dimensions Face Vertical 8 Horizontal 9 Vertical 16 Horizontal 9 Eyes Vertical 2 Horizontal 2 Vertical 4 Horizontal 2 Mouth Vertical 2 Horizontal 5 Vertical 4 Horizontal 5 Additional Example 1B: Stretching Figures B. Increase the vertical dimensions of the face, eyes, and mouth by a factor of 2. Course Stretching and Shrinking

Original Dimensions New Dimensions Face Vertical 5 Horizontal 6 Vertical 10 Horizontal 6 Eyes Vertical 1 Horizontal 1 Vertical 2 Horizontal 1 Mouth Vertical 1 Horizontal 2 Vertical 2 Horizontal 2 Try This: Example 1B B. Increase the vertical dimensions of the face, eyes, and mouth by a factor of 2. Course Stretching and Shrinking

Additional Example 2A: Shrinking Figures Write the dimensions of each figure. Shrink the figure as stated and give the new dimensions. A. Decrease the vertical dimensions by multiplying by. 1 3 __ Original DimensionsNew Dimensions Vertical 12 Vertical 4 Horizontal 10 Course Stretching and Shrinking

Try This: Example 2A Write the dimensions of each figure. Shrink the figure as stated and give the new dimensions. A. Decrease the vertical dimensions by multiplying by. 1 3 __ Original DimensionsNew Dimensions Vertical 9 Vertical 3 Horizontal 6 Course Stretching and Shrinking

Additional Example 2B: Shrinking Figures B. Decrease the horizontal dimensions by multiplying by. 1 2 __ Original Dimensions New Dimensions Vertical 12 Horizontal 10 Horizontal 5 Course Stretching and Shrinking

Try This: Example 2B B. Decrease the horizontal dimensions by multiplying by. 1 2 __ Original Dimensions New Dimensions Vertical 9 Horizontal 6 Horizontal 3 Course Stretching and Shrinking

Lesson Quiz: Part 1 Determine the vertical and horizontal dimensions of the figure. Stretch the figure as stated and give the new dimensions. 1. Increase the vertical dimensions of the shaded region by a factor of 4. Vertical 12  48; horizontal 9  no change Insert Lesson Title Here Course Stretching and Shrinking

Lesson Quiz: Part 2 2. Decrease the horizontal dimensions of the shaded region by multiplying by. Vertical 12  no change; horizontal 9  3 Insert Lesson Title Here 1 3 __ Course Stretching and Shrinking