Stretching and Shrinking by Stephanie Doran on PreziIn Stretching and Shrinking , your child will learn the mathematical meaning of similarity, explore the properties of similar figures, and use similarity to solve problems. Your student will learn how to:. When your child encounters a new problem, it is a good idea to ask questions such as:. Your student will learn how to: Identify similar figures by comparing corresponding sides and angles Use scale factors and ratios to describe relationships among the side lengths, perimeters, and areas of similar figures Construct similar figures scale drawings using informal methods, scale factors, and geometric tools Use algebraic rules to produce similar figures and recognize when a rule shrinks or enlarges a figure Predict the ways that stretching or shrinking a figure will affect side lengths, angle measures, perimeters, and areas Use the properties of similarity to find distances and heights that cannot be measured directly Use scale factors or ratios to find missing side lengths in a pair of similar figures When your child encounters a new problem, it is a good idea to ask questions such as: What determines whether two shapes are similar? What is the same and what is different about two similar figures? When figures are similar, how are the side lengths, areas, and scale factors related?
Connected Mathematics 2 Answer Key Grade 7
Answers Investigation 1 In some sense the two measurement b. Take a small unit of length or angle spread and find how many copies of that unit will fit into the segment or larger angle to be measured. Both students have given reasonable answers. Click your Connected Mathematics: Grade 7 textbook below for homework help. Our answers explain actual Connected Mathematics: Grade 7 textbook.
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Similarity, corresponding angles, corresponding sides, scale factor, ratio, Rep-Tiles, triangles, parallelograms. It also promotes algebraic thinking with the use of algebraic rules to produce similar or non-similar figures. In the CCSS, the word similarity is not mentioned. Instead, CCSS ask students to create scale drawings and use these drawings to investigate the relationship between lengths, perimeter, and area of two scaled drawings. In this unit we use the words similar figures and scale drawings interchangeably. Very little change has been made to the original content of this unit.
Two figures are similar if: 1 the measures of their corresponding angles are equal and 2 the lengths of their corresponding sides increase by the same factor, called the scale factor. So, the scale factor from Figure A to Figure B is 1.
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