ENGAGEMENT MARCH 16-18, 2015 6.G.1, 6.NS.1, 6.G.2 Why would you need to find the area of anything? GROUP QUESTION: Find the area if x = 19 Use the formula h x b . 2 Blue group: We will compute the Pythagorean Theorem using a calculator. EXIT SLIP WHAT IS THE VOLUME OF A FIGURE IF: sⁿ; where n= 3 and s= 7.2 Thor has 2/3 of a bag of dog food left. If he eats ½ cup each day, how many days will the bag last? ENGAGEMENT MARCH 19-23, 2015 When would you use surface area in real life? GROUP QUESTION Find the surface area of the triangular prism. EXIT SLIP WHAT IS THE MIRROR COORDINATE FOR (3, 6)? 6.EE.2c, 6.G.3, 6.NS.8 ENGAGEMENT MARCH 24-26, 2015 6.G.4, 6.NS.2, 6.NS.3 Give an example of when you would find the surface area and regular area in real life. GROUP QUESTION: How many tiles does Michael need if the length of the wall is 105.5 inches by 19 inches and the tiles are 12 inches by 12 inches? EXIT SLIP: There are 30 sixth graders. The entire trip to North Bay costs $2,575.93. How much does each sixth grader have to pay? HOMEWORK MARCH 16, 2015 6.G.2 Miguel and Kayla decide to work part time for a cereal box making company. They want to make extra money so they can buy a shiny unicorn and name it Princess. The boxes are rectangular prisms and have the following dimensions: 12 inches high 8 inches wide 2 inches deep Victoria Baden is the hard core manager. She is cracking the whip and demands a new size for the cereal boxes. The new boxes have to be rectangular prisms. Miguel and Kayla are a bit flustered. They call in Juan to help because if they can’t figure it out, someone is getting kicked and Miguel and Kayla voted it would be Juan. 1. Calculate the volume of the current cereal box. 2. Determine the surface area of the box. HOMEWORK TUESDAY MARCH 17, 2015 6.EE.2c Hope joins the project management team with Victoria. Hope decides she will kick anyone that calculates the wrong answer. To keep from getting kicked, figure out this problem: -the new boxes have to use less cardboard than the original boxes. -the new boxes have to hold the same or greater volume of cereal as the original boxes Carl Brown and Dante think that a shorter box might be the answer. They would be easier to store and transport. They proposed these measurements: -10.5 inches high -7.5 inches wide -4 inches deep Determine if the new box meets the new requirements. Explain using volume and surface area. Will Carl and Dante be kicked by Hope? (Draw diagrams explaining the surface area and dimensions) (remember, the old box is 12 inches high by 8 inches wide, and 2 inches deep) HOMEWORK WEDNESDAY MARCH 18, 2015 6.G.3 Amaya joins the management team and decides to require ALL employees must design a new box that meets the requirements or everyone will BE FIRED! Hope still wants to kick everyone, but Victoria Baden thinks Amaya is onto something. Keep from getting fired (or kicked) and design a new box for this company. -give the dimensions of your cereal box -explain how it meets the requirements to use less packaging than the old box uses by getting the volume and surface area of the box and comparing it to the volume and surface area of the old box (remember, the old box is 12 inches high by 8 inches wide, and 2 inches deep) BLUE: (Design two boxes that will meet these requirements) HOMEWORK THURSDAY MARCH 19, 2015 6.G.3 Cyrus and Sean and going to be in the talent show because they taught their donkey how to eat a donut with a fork and knife. They want to showcase this amazing talent. So Brian and Kevin get to work building two stages. They look like this: 1. What shapes makes up each stage? (polygons) 2. Amber and Febe think the donkey trick is fun HOWEVER, they taught their Guinea Pig how to use a Nutri Ninja and make a mango smoothie! (Impressive). Therefore they demand the stage with more floor space to showcase their talent. Which stage should Amber and Febe demand? HOMEWORK MARCH 20, 2015 6.NS.8/6b Alexis, Tony, and Ashley are volunteered to create sandboxes for the Pre-K class at Baden. Malachi thinks it’s pointless to have a sandbox outside because it becomes a giant kitty litter box and the 4 year olds will be digging up more than sand……. Anyway: Draw the locations the boxes with the given vertices IN ORDER: then name the shape Alexis: (-3.2, 4)---(1.8,4)---(3.4,1)---(-4.6,1)---(-3.2,4) SHAPE: ________________________________ Tony: (2.2, -8)---(5.9, -8)---(5.9, -2)---(4.8, 0)---(3.2, 0)---(2.2, -2)---(2.2, -8) SHAPE:___________________ Ashley: (-5.6, -7)---(-3.1, -7)---(-2, -1)---(-4.5, -1)---(-5.6, -7) SHAPE:__________________________ HOMEWORK MONDAY MARCH 23, 2015 6.NS.2 Chris, Kierra, and Andrea volunteer to go to Home Depot to buy sand. Erik, Jihrian, and Andre are forced to pull them behind their bicycles because their parents won’t drive them. They need to know how much sand to buy so they need to get the area of each shape. 1. Which sandbox holds the most sand? How much? ____________ 2. Which sandbox holds the least amount of sand? How much?____________________ Use this diagram and your journal notes to help you. HOMEWORK TUESDAY MARCH 24, 2015 6.NS.3/ 6.NS.G4 Tori, Dallany, Stefie, and Sapphira decide to sell Smurf figurines. They just received an order for a large amount of Papa Smurf figurines from KJ, who demands his beloved Smurfs be packaged as indicated: -His Smurfs must come packaged together in ONE large box -each Smurf must be in its own box: 3.5” x 3.5” x 3.5” Tori starts to panic because there are only 2 boxes to choose from. Stefie and Sapphira start to calculate, and Dallany slaps Tori to ‘snap her out of it’. Box A: 21’ long, 14” wide, and 24.5” high Box B: 21” long, 21” wide, and 17.5” high Which box should they choose if they want to fit the most Smurf figurines? Explain how you know which one they should choose. (Draw out the boxes and calculate the dimensions)