##
* *Reflection: Joy
The Multiplying Game - Section 2: The Multiplying Game

My students loved playing the Smallest Product Game! There is something about using a die and competing that get my students so excited and engaged. Students were making strategic decisions, multiplying fractions, and finding ways to compare those products. At the end of the game, I asked students to share out the strategies they used to compare the products. By listening to students share their strategies and reflections it was clear that they not only enjoyed playing the game, but they also understood the fraction concepts necessary to play the game successfully.

Unit 4.10 Strategy 1.jpg Same Numerator

Students recognized that 3/20 was smaller than 3/10 because on whole was split into 20 pieces and the other into 10 pieces. 1/20 is smaller than 1/10, so 3/20 is smaller than 3/10.

Unit 4.10 Strategy 2.jpg More or less than 1

Students recognized that if one product was greater than 1 and the other less than 1, the product less than 1 was smaller.

Unit 4.10 Strategy 3.jpg Simplify and compare

Students understood that sometimes simplifying fractions can help you compare two products.

Unit 4.10 Strategy 4.jpg Create common denominators

When the previous strategies would not work, students realized that they could create common denominators to compare the two products.

# The Multiplying Game

Lesson 11 of 19

## Objective: SWBAT: • Create an estimate of a fraction multiplication problem. • Multiply fractions and mixed numbers using visual models. • Develop strategies for creating the smallest product.

## Big Idea: How can you create the smallest product in the Multiplying Game? Students apply what they know about multiplying fractions to the Multiplying Game.

*50 minutes*

#### Do Now

*15 min*

See my **Do Now** in my Strategy folder that explains my beginning of class routines.

Often, I create do nows that have problems that connect to the task that students will be working on that day. The do now is a little longer for this lesson because I want students to have time to complete the problems and share out their ideas. I walk around to ensure that students are making estimates and creating a diagram. It is okay if they are using an algorithm, but I require them to also create a diagram.

I call on students to share their ideas. I have a couple students come up to the document camera to show their diagrams and strategies. I ask, “Is there a shortcut for multiplying fractions?” and “Is there a shortcut for multiplying mixed numbers?” I remind students that knowing the algorithm is helpful, but it also is important that you are able to create a model of the problem to show that you understand what is going on.

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#### The Multiplying Game

*20 min*

Notes:

- I use the data from the ticket to go from
**Mixed Number Multiplication**to identify any students who are still struggling with multiplying fractions and mixed numbers. If there are a small group of students, I will pull them during the game and we will practice and review using whiteboards. - Each partner pair will need a die (1-6), a rule sheet and a recording sheet. I print off extra recording sheets so students can start a new game if they finish the first one.
- I also have students take out scrap paper so they can complete and check their work.

I give students thirty seconds to find a partner and sit down. I ask a volunteer to come to the front and model the game with me so everyone can learn the rules. I explain that the person with the smaller product wins that round.

Each time you roll, you write the number in one of the boxes. Once you write a number in a box, you can’t move it. When you’re done you’ll have a fraction and one extra or “reject” number. A common misunderstanding is that students have to use the same numbers. Each player rolls and writes his/her own numbers.

Once you and your partner each have a multiplication problem, you multiply your problem. You also check your partner’s work. Then you need to compare to see which answer is smaller.

My volunteer and I model the entire process, including the comparing. I ask a student to clarify the point of the game. Students start playing with their partners.

If I have a small group that needs review, I pull them at this time. Every few minutes I walk around the room to monitor how students are doing.

With a couple minutes to go, I have students return their materials and return to their seats. I ask students to quickly share any strategies they developed for creating the smallest product. Students may share that when they rolled a larger number, they put it in the denominator. Other students may share that when they rolled a smaller number, they put it in the numerator. If I have time I ask, “With your die, what do you think is the smallest product you could get? How do you know?”

I collect students’ recording sheets so I can look at their work.

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#### Closure and Ticket to Go

*15 min*

For **Closure **I ask for a few partner pairs to share two products from a round. Then the class must work to figure out who won that round. Then the presenting pair calls on students to see what they think. They share whether they agree or disagree and why. This is a great opportunity for students to engage in **MP3: Construct viable arguments and critique the reasoning of others. **

I pass out the **Ticket to Go**.

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##### Similar Lessons

Environment: Suburban

Environment: Suburban

###### King Fraction

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*Resources(19)*

Environment: Suburban

- UNIT 1: Intro to 6th Grade Math & Number Characteristics
- UNIT 2: The College Project - Working with Decimals
- UNIT 3: Integers and Rational Numbers
- UNIT 4: Fraction Operations
- UNIT 5: Proportional Reasoning: Ratios and Rates
- UNIT 6: Expressions, Equations, & Inequalities
- UNIT 7: Geometry
- UNIT 8: Geometry
- UNIT 9: Statistics
- UNIT 10: Review Unit

- LESSON 1: Pretest
- LESSON 2: Many Names for Fractions
- LESSON 3: What Fraction of the Section Does Each Person Own?
- LESSON 4: Which Fraction is Greater?
- LESSON 5: Adding and Subtracting Fractions Day 1
- LESSON 6: Adding and Subtracting Fractions Day 2
- LESSON 7: Looking for Patterns + Show What You Know
- LESSON 8: Representing Fraction Multiplication
- LESSON 9: Representing Fraction Multiplication Day 2
- LESSON 10: Mixed Number Multiplication
- LESSON 11: The Multiplying Game
- LESSON 12: Connecting Multiplication and Division
- LESSON 13: Dividing Whole Numbers by Fractions
- LESSON 14: Dividing Fractions by Fractions
- LESSON 15: Strategies for Dividing Fractions
- LESSON 16: Strategies for Dividing Fractions Day 2 + Show What You Know
- LESSON 17: Unit Review
- LESSON 18: Unit Closure
- LESSON 19: Unit Test