We're Planning a Party! In our last lesson, "Arrange a Party," we used problem solving steps to help us plan what to eat. Click on the picture to review the questions we tried to answer.
 Problem Solving Steps Step 1 Understand the Problem *Step 2 Decide On a Plan Step 3 Carry Out the Plan Step 4 Look Back and Review *We are on Step 2 right now!

In order to plan an awesome party, I decided to ask my friends for their ideas.

They gave me LOTS of different answers!  I didn't want to leave out anyone's idea, so I had to look at the total range of their responses. The next page will show you the predictions we made based on this data. |

 Questions I Asked Range of Answers What types of pizza should we order? cheese to supreme How many slices of pizza will you eat? 1 slice to 5 slices How many pizzas should we order? 2 pizzas to 13 pizzas

 Questions Asked Predictions We Made What types of pizza should we order? We will order cheese, pepperoni, and supreme pizzas to include everyone's ideas. How many slices of pizza will each friend eat? We had a hard time predicting the second and third answers because we had such a wide range of choices.  We'll answer these questions (and a few others) in this lesson. But first, I want to know your ideas!    | How many pizzas should we order?

 Questions Your Predictions How many slices of pizza will each friend eat? Type in the number of slices of pizza that you think each of my friends will eat.  Click "Check Me!" when you are done. How many pizzas should we order? Type in the number of pizzas you think we should order.*   Click "Check Me!" when you are done. *REMEMBER: There will be 13 people at the party and each large pizza comes with 12 slices.  |

 When I asked my friends, "How many slices of pizza will you eat?", I got the following answers: 1,2,2,2,2,3,3,4,4,4,5,5. The range of this data is four slices of pizza! I know that most of my friends will not eat four slices of pizza! I wonder what would happen if I just looked at the more popular answers?  In math, we call this the mode of the data.
 Let's get in the "Party Mode" and give it a try! |

 Look at the data again, but this time look for the mode, or the answer listed the most often. Question: "How many slices of pizza will you eat?" Answers Given: 1, 2, 2, 2, 2, 3, 3, 4, 4, 4, 5, 5. The mode for this data    would be: 1 slice 2 slices 3 slices 4 slices 5 slices Let's try another one! Question: "How many pizzas should we order?" Answers Given: 2, 2, 3, 3, 4, 5, 5, 6, 6, 10, 13, 13. Place a check mark by the most popular answers. 2   3   4    5     6    10    13 Click the picture to check the mode for this data. |

 The second question had five modes! There can be more than one mode for a set of data, but several modes sometimes confuse or clutter the situation. Question Mode(s) How many slices of pizza will you eat? 2 slices of pizza How many pizzas should we order? 2,3,5,6,13 pizzas

Which mode would help us best answer "How many pizzas should we order?"
2 slices of pizza or
2, 3, 5, 6, 13 pizzas
Why would this mode help us make a better decision?
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 Let's use the mode from the first question to help us make a decision about the second question... If each of the 13 people at my party eat at least two slices of pizza, how many slices of pizza will I need? 15 slices 24 slices 26 slices 36 slices If each large pizza comes with 12 slices, how many pizzas do I need to order based on this data? 1 large pizza 2 large pizzas 3 large pizzas 4 large pizzas
 Math is so awesome! We answered the second question by using the mode from the first question! |

 If I use the mode of 2 slices per person, then I will need 26 slices of pizza.  To make sure I have enough, I will order 3 large pizzas.  Now, let's see if we can use the mode to help us answer the question "How many of each kind of pizza should we order?" Look at the chart.  These are the types of pizza my friends want to order.
 Types of Pizza Answers Given Cheese Pepperoni Supreme What is the mode of this data? cheese pepperoni supreme  |

 Types of Pizza # of Slices Needed Cheese 4 people x 2 slices = 8 slices Pepperoni 5 people x 2 slices = 10 slices Supreme 3 people x 2 slices = 6 slices

How would you divide 3 large pizzas to best represent your friends' choices? Remember, you can order a topping on 1/2 of a pizza.  |

 The three large pizzas will be divided as follows: CHEESE   PEPPERONI   SUPREME The one final question that we need to answer before we place the pizza order is "Who should we order the pizza from?" Look at the chart.  These are the answers my friends gave when I asked them that question.
 Pizza Places Domino's Hungry Howie's Little Caesar's Pizza Hut Type in the mode of the data.   |

Let's review how the mode of the data helped us answer our questions.

 Questions We Asked Decisions We Made How many pizzas should we order? Three large pizzas will give us 36 slices which will be enough to feed my friends (with some left over!) How many of each kind of pizza should we order? 1          Cheese 1 1/2   Pepperoni 1/2      Supreme Who should we order the pizzas from? Pizza Hut                |

 Now that I have decided "WHO to invite" and "WHAT to eat", I am ready to have my awesome birthday party!

Join my friends and me in "The Party Comedian" as we take the third problem solving step and "Carry Out the Plan!"