Session 3

Activity 1: Pizza night!

Your group is going to Pizzeria Verona to celebrate that summer is coming! But... in pizzeria Verona, you can buy portions or whole pizzas. 1) One portion costs 1 euro. 2) One whole pizza costs 6 euros, and it has 8 portions. Question 1: Talk with your group: how many portions does each of you want to eat? Question 2: You don't want to waste any money... how should you buy the portions to make it cheap? Later you will have to present your solution to the class! Tip: Think about it... how can you express mathematically "one portion of a pizza"?

This is [b]a whole [/b]pizza[b].[/b] — This is **a whole** pizza.

Improper fractions and mixed numbers

In the previous problem: How many portions can you obtain from a whole pizza? And from two pizzas? What about five pizzas? What fraction of a pizza is 1 portion? What fraction of a pizza are 6 portions? What fraction of a pizza are 12 portions? Definition: A fraction is proper if the numerator is smaller than the denominator. A fraction is improper if the numerator is greather than the denominator. Example: Having

of pizza is the same as having 1 whole pizza and

from another one! Definition: A mixed number is a way to represent improper fractions, counting the number of units and the portions left. Example: The mixed number

represents one whole pizza and

of a pizza.

Activity 2: How much pizza is...?

1) of a pizza. 2) of a pizza. 3) of a pizza. 4) of a pizza. Tip: You can use the previous applet! BONUS: Can you find a way to find mixed numbers from improper fractions without using the applet?

Activity 3: How many portions are...?

1) pizzas. 2) pizzas. 3) pizzas. 4) pizzas. Question: Do the portions have the same size in all the previous cases? How can you tell about the size? Tip: You can use the previous applet! BONUS: Can you find a way to find mixed numbers from improper fractions without using the applet?

Use the slider "Steps" to learn how to translate a improper fractions to a mixed number!

Activity 4:

Translate the fractions to mixed numbers. Once you do it, check your solution using the applet. 1) 2) 3) 4) Free offer! The chef in pizzeria Verona offers to give you one of the previous amounts of pizza for free! Which one do you choose? Why?

Use the slider "Steps" to learn how to turn a mixed number into an improper fraction!

Activity 5

Translate the mixed numbers to fractions. When you finish, check your solutions using the applet. 1) 2) 3) 4) Free offer! The chef in pizzeria Verona offers to give you one of the previous amounts of pizza! Which one do you choose? Why?