Thursday, April 21, 2016  Journal  Pencil  Homework *Turned in or on your desk Area of Base x H = Sloth? Are you ready?

Warm-Up: Please answer the problem in your math journals SIMPLE INTEREST: Warm-Up: Please answer the problem in your math journals SIMPLE INTEREST: Interest =(Principal)(Rate/Percent)(Time) Mr. Taylor is willing to loan you $ to throw your class a party. He charges 12.5% simple interest each day until the loan is paid back. The amount of the loan ($475) is called the principal amount. Until the loan is paid back, 12.5% (called the daily interest rate) of the principal amount will be added each day to the amount owed. 1. How much money in interest will be charged each week? I = P R TInterest = ($475) (.125) (1)= $ ($59.38) 2. How much will we owe after 1 week? 3. After 3 weeks? 4. Would you accept the terms of the loan? Why or why not? $ $ (In decimal form!)

Today’s Objective: Today we will be developing methods for finding volume of non-rectangular prisms. To do so, we will be applying what we have learned over the past 3 days! Reasoning together in team discussions will be critical today. Encourage your team mates to construct viable arguments for their conclusions and to clarify the reasoning of others in your team.

Keep These Strategies In Mind… How can the shape be broken down into simpler shapes? Can you break the shape into equal layers or slices?

The Candy Collection Problem You keep your collection of candy in a small box that is shaped like a rectangular prism with a base of 4"by 3"and height of 5" (see diagram at right). You want to make a bigger box for your candies, and you have found a pattern that you like. The pattern has two sides that are pentagons, and the finished box will look like a miniature house (see picture at right). Use the provided net to construct a paper model of your new box.

Calculate the volume of your original small box. What method did you use? You were trying to figure out the volume of the new box. One of your friends said, “Why don’t you find the volume of one layer and then figure out how many layers there would be?” Another friend said, “What if you separated the pentagon into two parts, so that you have a rectangular prism and a prism with a triangle base? Then you could find the volume of the two parts separately and put them back together.” Talk about each of these strategies with your team. Then work with your team to calculate the volume of your new box. Show your thinking clearly and be prepared to share your method with the class.