Stretching and Shrinking Unit Assessment

Study Guide for Stretching & Shrinking Unit Test

Assessment will be on Thursday, February 15th.

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.

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.

Pattern Block Site

Pattern Blocks - 

Click here

Some new Math Games

Chomp

Chomp - UCLA Math

Othello- Online
http://www.othelloonline.org/reversi.php

Cram

Cram is a visual game played on a grid of squares. 4×4 or 6×6 are common, but encourage your students to try other (even irregular) board sizes. Two players compete, placing 2×1 rectangles onto the grid. The last player to successfully place a piece wins.

Here is a sample Cram game played on a 4×4 grid. Eventually, red cannot make a move.

Sprouts

Sprouts is a dot and line game played with just paper and pencil. Students draw a small set of dots to begin (even two dots is enough). The object is to continue connecting those dots with lines.

1. Connect two dots with a line (curvy is fine).
2. Put a new dot somewhere on that line.
3. Repeat.
4. Each dot can only have three lines connected to it.
5. Lines may never cross each other.
6. You lose when you can’t draw another line.

In this sample, there is only one dot remaining in the end with fewer than three connections, so the player cannot make a new line.

Stretching and Shrinking Unit Project

Examples of past projects...

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

Starting a 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.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

ATN - Study Guide and Packet

Your Unit Assessment will be on Thursday, December 21st.

Here is the Study Packet

Click here to access

Here are the answers to the study packet.

Click here to access.

Have fun reviewing!

Inv 3 - Multiplying and Dividing Integers

Problem 3.1 -

Focus Question: How is the multiplication of two integers represented on a number line and a chip board?

Problem 3.2

Focus Question: What algorithm can you use for multiplying integers?

Problem 3.3

Focus Questions: What algorithm can you use for dividing integers?How are multiplication and division of integers related?

Click here to access the online Integer Product Game.

Brain Rush

Click here to access a multiplication game

Click here to access a positive/negative game with integers

multiply with negatives

multiply with positive and negative