Unit Title / Grade Level Start Week / End Week Standard(s) Stretching and Shrinking/ 7th August 20 through September 12 MII3.1-­‐Student identifies, describes, and applies similarity relationships to find measures of corresponding parts in similar figures and applies scales to measurements in drawings and maps. MII1.4 Student reasons with ratios, rates, percents, and proportional relationships to solve problems and interpret results. Essential Question(s) How can proportions be used in daily life to find unknown quantities? How would you identify similar figures by using corresponding parts? How does stretching or shrinking a figure affect its measurements? Knowledge Skills Scholars will know… Scholars will be skilled at… What is a ratio? Using ratios and proportions to solve What is a proportion? problems How do you solve a proportion? Using ratios and proportions to determine When would you use a ratio? if figures are similar How do you determine if two figures are Solving problems involving scale drawings similar? Writing a ratio to represent a problem What are corresponding parts of figures? Determining corresponding parts of similar What is a scale factor? figures How do you know if your answer is Solving problems involving congruent or reasonable? similar figures Estimating to determine the reasonableness of a solution Performance Assessment 1. The square above is subdivided into six triangles and four parallelograms. Some of the shapes are similar. a. List all the pairs of similar triangles in the figure. For each pair, give the scale factor from one figure to the other. b. Pick a pair of similar triangles. Explain how their perimeters are related and their areas are related. c. List several pairs of triangles in the figure that are not similar. Optional (must chose one): d. List all pairs of similar parallelograms in the figure. For each pair, give the scale factor from one figure to the other. e. Pick a pair of similar parallelograms. Explain how their perimeters are related and how their areas are related. f. List several pairs of parallelograms in the figure that are not similar. Scoring Rubric See attachment