L3.1 - Scale Drawings
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Comprehend the terms scale factor and dilation.[/*][*]Critique and create scaled drawings of figures (using words and other representations).[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Dilate a figure given a scale factor and center.[/*][/list]
1.1: Is That the Same Hippo?
Diego took a picture of a hippo and then edited it. Which is the distorted image? How can you tell?
Is there anything about the pictures you could measure to test whether there’s been a distortion?
1.2: Sketching Stretching
A [b]dilation [/b]with center [i]O [/i]and positive [b]scale factor[/b] [i]r [/i]takes a point [i]P [/i]along the ray [i]OP [/i]to another point whose distance is [i]r [/i]times farther away from [i]O [/i]than [i]P [/i]is. If [i]r [/i]is less than 1 then the new point is really closer to [i]O[/i], not farther away.[br][br]1. Dilate [i]H [/i]using [i]C [/i]as the center and a scale factor of 3. [i]H [/i]is 4 cm from [i]C[/i].
2. Dilate [i]K [/i]using [i]O [/i]as the center and a scale factor of ¾. [i]K [/i]is 4 cm from [i]O[/i].
1.3: Mini Me
1. Dilate the figure using center [i]P [/i]and scale factor ½.
2. What do you notice? What do you wonder?
Are you ready for more?
1. Dilate the segment [i]AB [/i]using center [i]P [/i]by scale factor of 1/2. Label the result [i]A'B'[/i].[br]2. Dilate the segment [i]AB [/i]using center [i]Q [/i]by scale factor of 1/2. Label the result [i]A'[sub]1[/sub]B'[sub]1[/sub][/i].
3. How does the length of [i]A'[/i][sub]1[/sub][i]B'[/i][sub]1[/sub] compare to [i]A'B'[/i]? How would the length of [i]A'[/i][sub]1[/sub][i]B'[/i][sub]1[/sub] change if [i]Q[/i] was infinitely far away? Explain your answer.
Learning Intentions and Success Criteria
[color=#ff0000]We are learning to:[/color][br][list][*]Comprehend the terms scale factor and dilation.[/*][*]Critique and create scaled drawings of figures (using words and other representations).[/*][/list][color=#ff0000]We are successful when we can:[/color][br][list][*]Dilate a figure given a scale factor and center.[/*][/list]
Scale Factors:[br]A. 1[br]B. 3/2[br]C. 2[br]D. 2/3[br]E. 1/2[br][br]Image 1
Image 2
Image 3
Image 4
Image 5
