1. Scaling up and Shrinking
Launch:
The purpose of this lesson is to allow students to experiment with proportions. During their lifetime students will have many opportunities to create scale models, convert a recipe, read a scale drawing, interpret a map, or do something that requires them to understand proportions.
Read If you could hop like a frog to your class and discuss the concepts contained in the book. (Animals and insect perform some interesting feats which if proportioned to human sizes would be…) Students should be able to offer their own ideas about stretching and shrinking. Help them that understand that you can use proportions to both stretch and shrink things.
Materials:
Book: If You Could Hop Like a Frog
Worksheets for the lesson or lessons listed below
Student project description, grading rubric, response paper
Explore:
To explore this concept introduce an exploration activity from the following:
What would a classroom for a Gummy Bear look like? What would the proportions be?
How much did the mouse grow to become a horse in Cinderella?
“Duke’s dog house”
How much would you weigh on each of the planets? (perhaps next year)
Student project:: Students are assigned to do their project in small groups, or as individuals; to create an object or drawing that has been properly scaled. (Examples of objects are available to be shown to students.) Each student or group will bring their project and present it to the class on a particular day. During the presentation each student will fill out a response paper.
Summarize:
Scaling is a part of everyday life. People look at pictures, use scale drawings, create scale models, convert recipes, read maps, and do many other things where it is easier to communicate something to another person than to have the exact object present. Make two lists of objects that are scaled down from their original size and up from their original size.

2. Name: ____________________
Class Period: _______________
Show your work!
If a mouse is approximately 1 inch tall at the shoulder how much did Cinderella's Fairy Godmother need to scale the mouse to turn it into a Clydesdale horse which is about 6 feet tall (at the shoulder) to pull her carriage?
If the same mouse weighs 40 grams (1.4 ounces) how much did Cinderella’s Fairy Godmother need to scale the weight of the mouse to turn it into a Clydesdale weighing 2000 pounds? (Remember that there are 16 ounces in a pound.)

3. If a mouse is approximately 1 inch tall at the shoulder how much did Cinderella's Fairy Godmother need to scale the mouse to turn it into a Clydesdale horse which is about 6 feet tall (at the shoulder) to pull her carriage?
If the same mouse weighs 40 grams (1.4 ounces) how much did Cinderella’s Fairy Godmother need to scale the weight of the mouse to turn it into a Clydesdale weighing 2000 pounds? (Remember that there are 16 ounces in a pound.)
6 feet is 72 inches the mouse is 1 inch tall
So the mouse was scaled 72 times in height.
2000 pounds * 16 ounces/pound is ounces.
The mouse weighs 1.4 ounces so the mouse is scaled ounces / 1.4 ounces or times its weight.

4. Duke's Doghouse Show your work!
Name: ____________________
Class Period: _______________
Show your work!
Duke's Doghouse
Here is a drawing of Duke. The scale factor from Duke to the drawing is 6¼% (6.25%). Using this information:
By using a ruler and the scale factor derived from the information above, figure out how long Duke is from his nose to the tip of his tail?
To build a doghouse for Duke, you would need to know his height so you could make a doorway to accommodate him. How tall is Duke?
What would the size of a dog house need to be? Height? Width? Length? Door height? Door width? Explain each of these measurements telling why they were chosen.

5. Duke's Doghouse
Here is a drawing of Duke. The scale factor from Duke to the drawing is 6¼% (6.25%). Using this information:
Duke is inches from his nose to his tail. He is scaled down to 6.25% of his original height. So he is / = 70 inches long. (Alternatively, * 16 = 70.)
By using a ruler and the scale factor derived from the information above, figure out how long Duke is from his nose to the tip of his tail?
To build a doghouse for Duke, you would need to know his height so you could make a doorway to accommodate him. How tall is Duke?
What would the size of a dog house need to be? Height? Width? Length? Door height? Door width? Explain each of these measurements telling why they were chosen.
From the bottom of Duke’s feet to the top of his head Duke is 2.5 inches tall.
2.5 / or 40 inches tall (feet to head). Alternatively, 2.5 * 16 = 40.
At the shoulder Duke is inches tall or / or 30 inches at the shoulder. (Alternatively * 16 = 30
The answer to this question can be different for each student. Watch for their explanation. A dog 30 inches at the shoulder can easily make it through a doorway only 28 inches tall. They will curl up to sleep and be only 36 to 42 inches long (remember the length includes the tail).

6. Stretching and Shrinking
Grading Rubric
Or the way to get an “A”
Your assignment is to find an object (or objects) to scale (stretch or shrink) and then create it.
Your project is due on the day you make your presentation.
Presentations will be made on February 26 and 27!
“The on time factor!”
25%
It must be completed by the due date.
Information showing the amount the object was scaled will accompany your object
You must make a presentation to the class and show your object and explain: why you chose it; how much it was scaled; how you measured the original dimensions; how you calculated the new dimensions; and how the new dimensions appear in the object.
You will be given more credit for a difficult object than for a trivial object (examples will be shown)
You are required to respond in writing to other student’s projects and part of your grade will be based on your response
“The documentation factor!”
15%
“The I can explain to others factor!”
15%
“The wow factor!”
35%
“The involved and polite factor!”
10%