1. **Take out your TOC & homework.** HW #29- (Section 2.2.5) 2-90 through 2-94 Warm ups and TOCs due on Tuesday. Monday- Staff Development Day (no school for you) Warm Up- Copy: For each of the four diagrams below, write an equation that represents the darkly shaded portion and a sentence that describes that section. Correct last night’s homework. --- Week 8, Day Four

2. CW: 2-85 through 2-88 How big is part of a part?

3. You have seen how Cecil’s repeated integer-sized moves can be represented with addition or multiplication. But what if you need to calculate part of a whole? For example, if 200 people enter a competition and of them are chosen for the final round, how do you calculate how many were chosen? Sometimes you may even need to calculate a part of a part. For example, if Cameron sprinted 2/3 of the 1/4-mile track, how would you calculate how far Cameron sprinted? Today you will use different models to help you answer these kinds of questions.

4. 2-85. Cecil has just created a spectacular routine. It has two parts. The first part consists of a series of creative leaps followed by a somersault. The first part ends with Cecil’s doing an elaborate bow while balancing on one toe. Then he moves into the second part of the routine, which includes several back flips and spins. When performed perfectly, the routine moves Cecil exactly to the other end of his tightrope. The routine can be represented by the following expressions. First, Part I: 3(2) + 3(3) + (−5) + 4

5. Then he pauses to take a bow in place. And then, Part II: 5 + 3 + 4(1 + −1) + (−3) + (−5) + 3(5 + (−2)) + 1 Work with your team to draw an accurate diagram (drawn to scale) to represent Cecil’s routine. Then answer the following questions and be ready to share your reasoning. Assume that the numbers used to describe the routine represent feet. ** How long is Cecil’s tightrope? **How far from the starting point is Cecil when he takes his bow after Part I? **What portion of the tightrope length does Cecil travel in each part of the routine?

6. Cecil had only completed two-thirds of his routine when a rather violent sneeze caused him to fall. How far from the starting point was Cecil when he sneezed and fell?

7. 2-86. Garden Road Middle School is planning a field trip for students to attend a conference about careers in mathematics. Half of the students signed up to go on the field trip, but only three-fourths of those students brought back their permission slips to attend the field trip. Explore what fraction of students in the school will be able to go on the field trip.

8. Discuss this problem with your team. Do you have to know how many students go to Garden Road Middle School to be able to answer this question? Why or why not? Now, draw eight identical rectangles on a full sheet of paper. Then follow the steps below to answer the question.

9. The entire school’s enrollment—no matter what it is—can be represented with an un-shaded unit rectangle. Half of the school plans to attend. To show this, divide your rectangle into two equal pieces. Then lightly shade and label one of the halves to show the half of the school that is planning to attend. ** Label the other half with an appropriate label. **Three-fourths of the students planning to attend brought back their permission slips to go to the conference. Represent this portion on your rectangle. **What fraction of the whole school will attend the conference? If the total school population is 120 students, how many would attend? **How do you know that the total school population cannot be either 125 or 250?

10. 2-87. Howie has 5/8 of a pizza left over from last night’s dinner. He loves pizza and eats half of the remaining pizza the next day for breakfast. Draw your own diagram to determine what portion of the original pizza Howie ate for breakfast. Write an equation to show 1/2 of 5/8.

11. 2-88. Joe Dominguez has decided to plant a rectangular flower garden. Joe loves red carnations. He wants 50% of the garden to be planted with carnations, and one-third of the carnations must be red. On a unit rectangle, label and shade the fraction of the garden that must be carnations. Now label and shade the fraction of the carnations that must be red. What fraction of the whole garden must be red carnations? What fraction of the garden is not carnations? Express the number of red carnations with a number sentence.

12. Warm up-