**House Problems that use Proportional Reasoning.**

**Assigned Monday January 29th**

**Due Monday February 5th.**

**1.)** What would the length of the actual building be if the measurement in the scale drawing is 3 inches and the scale is 1/4 inch equals 1 foot?

**2.)**Show 2 different ways to determine this answer.

**3.)**Define

**
**

**4.)**Suppose you have a photograph that is 15 cm wide and 25 cm long. If you double the width to 30 cm and you want it to be similar what is the new length?

What are some common mistakes that students will make? **Explain why they are not correct?**

**5.)**Define

** proportional reasoning**
**ratio**

**6.)** What is thebetter buy?

**Laminate wood flooring cousts $70 a 5-foot-by-4-foot area.**
**Carpeting costs $93.50 for an 11foot-by-2 foot section.**
**Ceramic tile costs $171 for a box of 45 tiles each measuring 1-foot-by-1-foot.**

**Using the three types of material listed above, determine the cost of flooring vor a 12-foot-by-18-foot room. Describe how you determined your answer for each floor covering. **

7.)How do we use the following?

- f
**inding the unit rate**
**equivalent fractions**
**cross products**

Show examples using words and diagrams from the previous question.

8.)What is the missing measure? Can you use a **ratio table** or a** x k y chart****? **

A.)

**B.)**

9.) **Changing the Size.**

Sometimes a person who is having a house built wants to increase the size of different parts of the house. For example, Billy wants to double the size of his garage.

**A typical garage floor is 12 feet by 22 feet. Determine the perimeter and the area of the floor of a typical garage.**
**To double the area of of Billy's garage, the builder decides to double each of the garage's dimensions. What happens to the perimeter and the area of the garage floor when each of the dimensions is doubled? Did the builder double the size of Billy's garage? Explain.**

10.)** Create 3 problems that can be solved using proportional reasoning. Show how they can be solved.

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