Beyond Pizzas & Pies Chapters 5 & 6

1. Beyond Pizzas & PiesChapters 5 & 6 Is always bigger than ? How come .15 ?

2. Warming Up • What do you think are the big ideas from the two chapters? • What surprised you from “Classroom Scenario”, “What’s the Math”, and “What’s the Research”? • What ideas really made you think as you read chapters 5 and 6?

3. Reflections: Chapter 5 • Understanding and reasoning about mathematical contexts is critical to developing number sense. • Changing a unit size can encourage students to think more flexibly about fraction values • The unit must be considered when it is unknown in order to make comparisons.

4. Reflections: Chapter 6 • Guiding student understanding regarding notational forms for fractions is an important part of developing their fraction sense. • Students need to understand that decimals and fractions are just two different ways to name the same quantity.

5. The Unusual Baker I like to buy Red Velvet cakes for a treat. Sometimes I like a smaller piece, or I might buy one piece for two of us to share. George, a retired mathematics teacher, makes these cakes. He likes to cut the cakes differently each day of the week.

6. The Unusual Baker On the order board, he lists the fraction of the piece, and next to that, he has the cost of each piece. This week he is selling whole cakes for $10. Determine the fraction of each piece of cake and how much each piece costs if the whole cake is $10.

7. Aha! • Describe the mathematics in this problem. • What do you recall from last week’s problem and how might that fit with this problem?