Question Packet Suggested Questions and Study Guide

Click here to link to the Study Guide for the Stretching and Shrinking Unit Test.  The answers accompany the documents.

The Reflection on page 104 #1 a,b; 2a,b and 3 is helpful to clarify your understanding.

Looking Back on p. 108-110

# 1a-f, 2 a,b and 5.

Study Guide for Stretching & Shrinking Unit Test

Study Guide for Stretching & Shrinking Unit Test

Assessment will be on Wednesday, March 2nd

Essential Learnings:

• Apply coordinate rules to stretch or shrink shapes and then plot them.
• Understand ways that stretching or shrinking a figure affects lengths, angle measures, perimeter and area.

Specific Skills:

• Draw shapes on coordinate grids and use coordinate rules to stretch (x, y), shrink and move the shapes.
• Determine the way that stretching and shrinking a figure affects lengths, angle measures, perimeters, and areas.

• Identify similar polygons and use scale factor and side length ratios to prove similarity between polygons.

• Calculate scale factor of two similar shapes and find measures of angles in similar polygons.
• Apply relationship of scale factor to perimeter and area.
• Use the properties of similarity to find distances and heights that you can’t measure.
• Use specific vocabulary appropriately, use the terms we have learned and discussed in class - specific vocabulary is posted in the classrooms as well as on the Math Blog.

Material to Review:

1. Review and redo problems from the unit Check-ins, Checks for Understanding, warm up problems, in-class practice sheets.
2. Problems from the text: Problem 2.2 (pages 30 & 31), page 32 the definition of similar (the two bullet points under the bold word), Problem 2.3 (pages 34 & 35), Problem 3.1 (page 52), Problem 41. B (page 83), Problem 4.2 (page 84), Problem 4.4 D (page 89).  
3. Unit Review in your book (pgs. 108-110) specifically #s 2, 3, 4, 5 & 6.

Study Sessions:

Study sessions will be held on Monday, February 29th in room 210, Tuesday, March 1st in room 207 and Wednesday, March 2nd in room 214, all starting at 7:10 a.m.  Come with questions or to work through some final problems that will solidify your knowledge and increase your confidence. Teachers will also be available during study halls each day and after school by appointment.

Stretching and Shrinking Unit Project 2016- Google Sketch-up

Examples of past projects...

Click here to access the Unit Project - Google Sketch-up

Students Learning about Scaling with a rubber band activity.

New Unit - 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