1. Math Journal 8-18 I you deposit $255 into an account that earns 4.2%, compounded twice a year, how much money will you have in your account after 3 years? !!

2. UNIT 1 DAY 6: APPLICATIONS WITH FRACTIONS Essential Questions: How are fractions useful in real life situations? What is necessary to add or subtract fractions? How is this different from multiplying or dividing fractions?

3. Reciprocal: two numbers are reciprocals if their product is 1. Numerator: the number ABOVE the division line in a fraction. Shows how many parts of the denominator are taken. Denominator: the number BELOW the division line in a fraction. Shows the total number of “pieces” that make up a fraction. Vocabulary

4. Adding/Subtracting Fractions You must get a common denominator in order to add or subtract fractions! This does not apply when we are multiplying or dividing fractions.

5. Example 1 In the state of Arizona you need 22 credits to graduate high school. At the end of your sophomore year, you have half of your credits completed. Each year you will earn credits. How many total credits will you have at the end of junior year? 6 22 Get a common denominator 11 + 6 22 1 2 + 6 11 22 17 22 = You will have 17 credits out of the 22 total that you need at the end of the semester.

6. Example 2 Get a common denominator 2 2 - 1 8 3 4 - 1 8 6 8 5 8 = You need 5/8 teaspoon more black pepper than red pepper.

7. Multiplying Fractions Line up the top of a fraction with the top of the other fraction. Cancel out common factors. Multiply across.

8. You own your own lawn cutting business and charge $80 for every acre of grass cut. How much would you charge for a yard that is acre? Example 3 = = 20 1 You would charge $20 to cut a yard that is 1/4 acre. 1 4

9. Dividing Fractions Line up the top of a fraction with the top of the other fraction just like before. Flip the second fraction to its reciprocal and change from division to multiplication. Cancel out common factors. Multiply across. Original NumberReciprocal 4/55/4 3/44/3 45/8383/45 21/2 241/24

10. Multiply by the reciprocal! Example 4 == Each person gets 1/5 of the pie.

11. Fractions Games http://www.math-play.com/Multiplying-Fractions- Millionaire/Multiplying-Fractions-Millionaire.html http://www.math-play.com/math-basketball- dividing-fractions-game/math-basketball-dividing- fractions-game.html

12. Summary Essential Questions: How are fractions useful in real life situations? What is necessary to add or subtract fractions? How is this different from multiplying or dividing fractions? Use 1 minute to write 2 sentences answering the essential questions.