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Warm-up

Warm-up. Homework Due. Commutative vs Associative 2 terms vs 3 terms How many terms is the order changing, is it all 3 or just 2 inside the 3 There are only 5 false statements Pg 46 # 35 It is helpful to make a table and plot points Describe what is happening

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Warm-up

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  1. Warm-up

  2. Homework Due Commutative vs Associative 2 terms vs 3 terms How many terms is the order changing, is it all 3 or just 2 inside the 3 There are only 5 false statements Pg 46 # 35 It is helpful to make a table and plot points Describe what is happening Only one of then is actually being shifted right and down

  3. Quiz Directions • What does similar mean, how does it affect the original figure • Need to set up ratio of sides to find constant scale factor • Areas are related by the scale factor square –this gives you scale factor to then find new dimensions, find perim using S.F • Multiply by the same thing, just moving it • Ashely’s backwards to Ryan’s, divide by 3, Simone’s multiply by 2, do you have mouth, think of dot paper as a grid

  4. Homework Investigation 3 Page 60 A 1,2,4,15-18, 24 and 25 B 15-18, 25,44, 45, 53 Wkst on S.F. Perim and Area Due Thursday 10/11

  5. Worksheet Scale factor is a ratio of corresponding sides, keep as a fraction Ratio of Perimeters is the scale factor (what you multiply by to get new perimeter) Ratio of Areas is the scale factor squared (what you multiply by to get new area) First 2 problems and table just fill in the blanks For word problems What are you given What do you need to find Which ratio are you going to use

  6. 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.

  7. 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.

  8. This should be the title of your notes and dated 10/8 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?

  9. 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

  10. Problem 3.1 pg 52 Watch Video Use Shape sets to help A and B What types of quadrilaterals are rep-tiles? All types of parallelograms 2 pairs congruent sides How do rep-tiles show that a scale factor and areas of similar quadrilaterals are related? Number of quadrilaterals used is equal to the ratio of areas or scale factor square, when you make a similar figure

  11. Warm Up

  12. 3.2 Rep-Tile Triangles Which types of triangles are rep-tiles? Explain.

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

  14. Warm Up

  15. 3.3 Designing Under Constraints How can you use scale factors to draw similar figures or to find missing side lengths in similar figures?

  16. Problem 3.3 page 56 A, B and C

  17. Warm Up

  18. 3.4 Out of Reach How can you use similar triangles to find a distance that is difficult to measure directly?

  19. Terms Nested Triangles One inside the other Overlapping Share a vertex

  20. Problem 3.4 pg 59 Start of word problems Watch Video A,B,C and D

  21. 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?

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