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# 7th Grade Math 2016-17

## Thursday, March 16, 2017

### New Unit - Comparing and Scaling

Welcome to our new unit focusing on ratios, rates, percents and proportions.

**Investigation 1: Ways of Comparing: Ratios and Proportions**

Investigation 1 focuses on different strategies for comparing quantities—using ratios, fractions, percents. Students learn what different types of comparative statements say about data given. They are asked to write comparative statements using ratios and differences that describe data.

We have completed Investigation 1.1 -1.2 in the new Comparing and Scaling Book.We focused on the ability to make comparisons of quantitative data.

We focused on making comparisons through:

1. ratios

2. differences

3. percents

4. simplified ratios

Further we stressed the importance of making comparisons between part-to-part or part-to-whole.

## Friday, March 3, 2017

### Study Guide for Stretching and Shrinking

Study Guide for Stretching & Shrinking Unit Test

Assessment will be on Thursday March 9th

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:

- Review and redo problems from the unit Check-ins, Checks for Understanding, warm up problems, in-class practice sheets.
- 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).
- Unit Review in your book (pgs. 108-110) specifically #s 2, 3, 4, 5 & 6.

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.

## Tuesday, January 31, 2017

## Thursday, January 12, 2017

### Brain Rush

We will be practicing converting fractions, decimals, and percents.

Try this!

And this:

And this:

And this:

## Thursday, January 5, 2017

## Tuesday, January 3, 2017

### Stretching and Shrinking Unit - Introduction

__Common Core Standards for this Unit:__- 7.RP.A.2 Recognize and represent proportional relationships between quantities.
- 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

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