Quiz Keys

As you work on studying tonight, please take the time to look over these quiz keys while you look over your own copies of the Check-In and Partner Quizzes.

Stretching and Shrinking Quiz Keys

Come to tomorrow morning's study session (starts at 7:10am) with any questions you may have. Work hard and be ready!

Study Packet Answers

Click here to access the Study Packet- Question Bank Answers.

Get ready for next Wednesday's Unit Test!

As we prepare for our first math test if Term 3, here is the study guide for the Stretching and Shrinking Unit:

https://docs.google.com/a/yarmouthschools.org/document/d/1sgo88DXsl13ITTgZbw99bOI5CnY0F8mZXBE5pnfunp0/edit

...and here is a Quizlet to help you review the key vocabulary from the unit:

http://quizlet.com/38110969/stretching-and-shrinking-vocabulary-flash-cards/

Be prepared! Take a little time each day to study - do practice problems, review vocabulary, look over check-in an partner quizzes.

Scale Factor and Area Comparisons- Inv 3

Reviewing some notes....

Consider a rectangle 5cm by 2cm.

The area of the rectangle is 5cm × 2cm = 10cm², but what happens if the rectangle is enlarged?
We will start by multiplying the lengths by scale factor 2.
The rectangle is now 10cm by 4cm and the area is 40 cm².
The lengths were multiplied by 2, but the area has been multiplied by a scale factor of 4.

Now we will multiply the lengths in the original rectangle by scale factor 3.
The rectangle is now 15cm by 6cm and the area is 90 cm².
The lengths were multiplied by 3, but the area has been multiplied by a scale factor of 9.

Finally, we will try multiplying the lengths by scale factor 5.
The rectangle is now 25cm by 10cm and the area is 250 cm².
The lengths were multiplied by 5, but the area has been multiplied by a scale factor of 25.

See a pattern!?
When all the lengths are multiplied by x (the scale factor) , the areas are multiplied by x² (the scale factor squared).

Stretching and Shrinking - Investigation 3.1 - Rep-tiles

We will be investigating reptiles in the next investigation.  In the geometry of tessellations, a rep-tile or reptile is a shape that can be dissected into smaller copies of the same shape

Here are some helpful links to some interactive tool sites.  

Pearson - Pattern Blocks Link

More information on Rep-tiles found here.

Help with plotting points on a coordinate graph

Use the following link to help you in plotting points on a coordinate graph.

Click here to access.

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