## Tuesday, January 28, 2014

### Unit #3 - Stretching and Shrinking

Common Core Standards for this Unit:
• 7.RP.A.2 Recognize and represent proportional relationships between quantities.
• 7.RP.A.2a Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin.
• 7.RP.A.2b Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.
• 7.RP.A.3 Use proportional relationships to solve multistep ratio and percent problems.

Goals for this Unit:
• Similar Figures Understand what it means for figures to be similar

- 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
- Use algebraic rules to produce similar figures
- Recognize when a rule shrinks or enlarges a figure
• Reasoning With Similar Figures Develop strategies for using similar figures to solve problems
- Predict the ways that stretching or shrinking a figure will affect side lengths, angle measures, perimeters, and areas
- Use scale factors or ratios to find missing side lengths in a pair of similar figures
- Use similarity to solve real-world problems