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Warm Up

Discuss Quiz

Homework Investigation 3 Page 60 A 1,2,4,15-18, 24 and 25 B 15-18, 25,44, 45, 53

Stretching and Shrinking Students will be able to use scale factor to determine distances, students will be able to find unknown heights using similar figures.

Investigation 3: Scaling Perimeter and Area Students will understand what It means to be similar. Students will recognize the relationship between scale factor and ratio in similar figures. Students will distinguish algebraic rules that produce similar figures from those that produce nonsimilar figures.

3.1 Rep-Tile Quadrilaterals What types of quadrilaterals are rep-tiles? How do rep-tiles show that a scale factors and areas of similar quadrilaterals are related?

Terms Polygons 3 or more sides, closed figures Tessellations repeated patterns of polygons that fit together Congruent Exactly the same shape and size Rep-tile if you can put together congruent copies of the shape to make a larger similar shape

Problem 3.1 pg 52 Watch Video Use Shape sets to help A and B

Warm Up

Which types of triangles are rep-tiles? Explain. 3.2 Rep-Tile Triangles Which types of triangles are rep-tiles? Explain.

Problem 3.2 page 54 A and B If time do a tessellation – maybe end of unit

Warm Up

3.3 Designing Under Constraints How can you use scale factors to draw similar figures or to find missing side lengths in similar figures?

Problem 3.3 page 56 A, B and C

Warm Up

3.4 Out of Reach How can you use similar triangles to find a distance that is difficult to measure directly?

Terms Nested Triangles One inside the other Overlapping Share a vertex

Problem 3.4 pg 59 Start of word problems A,B,C and D

Essential Questions What types of quadrilaterals are rep-tiles? How do rep-tiles show that a scale factors and areas of similar quadrilaterals are related? Which types of triangles are rep-tiles? Explain. How can you use scale factors to draw similar figures or to find missing side lengths in similar figures? How can you use similar triangles to find a distance that is difficult to measure directly?