##
* *Reflection: Joy
Getting Ready to Quiz: The Greatest Product Game - Section 3: Brushing up on skills: The Greatest Product Game Begins

As you can hear those little film clips, students are having fun. The chatter, the engagement and the progress in understanding where they make their errors is so valuable to progress and mastering the standard. I love it! The game can be used with playing cards too to switch it up. I will bring it back again in future lessons involving multiplication and division because students love it. Even though they have one on one iPads, plenty of aps to practice, there are no aps other than the website IXL Math that support this kind of interaction, critique and communication between students. I hope we never completely abandon this type of learning experience for students!

This game is also great for differentiating and advancing lower level students. I realized as we played, I probably should have used it for intervention earlier in the week!

As we work to master area models, accuracy in calculations, fluency in facts and becoming proficient in understanding the concepts, this all supports later understanding of the standard algorithm. I see this clearly as I am committed to teaching lessons that support critical thinking process. This beautiful opportunity for us to teach mathematics as it should be taught is exciting. I wish it were around when I was a kid! I would have loved math sooner.

*A Great Game to Use to Review*

*Joy: A Great Game to Use to Review*

# Getting Ready to Quiz: The Greatest Product Game

Lesson 5 of 19

## Objective: SWBAT explain multiplication using an area model in preparation for a quiz.

We started out again today with the continuation of listing factor pairs 59,60,61,62,& 63. I am starting every day with reviewing factor pairs from 51-100 because that standard needs to be met before 5th grade. Practice makes perfect. After they finished listing them on their own, I encouraged them to check them with a factor pair calculator.

I am discovering that they are getting quite fluent in figuring the factor pairs using divisibility rules. They are also using factors they know, starting with 25x2 or 30x2 and working from there. This is great thinking! I think the daily practice is really paying off!

*This is the first group I have had in the transition of 3 years into CCSS in our district and I am really excited to see their willingness to master this skill! *

I had them list the numbers in their notebook in the strategic method I had taught them:

59 60 61 62 63

1x59 1x60 1x61 1x62 1x63

2 x 30 2x31 3x21

3 x 20 7 x 9

5 x 12

6 x 10

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**We have been practicing 2,3 & 4 digit by one digit multiplication using area models for the past 4 days. Students have shown me that they understand how this method of multiplication works, but I suspect there are still some issues with remembering how to multiply by groups of ten. I expect that those who are weak will have problems multiplying because of weak fact knowledge. I will not be allowing any time tables to be used on the test.*

We started our review using Review for Quiz 1 & Greatest Product Game Notebook.

The focus was on the students, because I wanted them to take responsibility for thinking about what they should remember. Each student contributed ideas to the list.

*We listed several things to remember. I reminded students to not forget that they are multiplying and they need to think in terms of "groups of" or "rows x columns", because they get caught up in the process and forget the meaning of what they are doing. *

When we finished, we made sure that the list was written in their iPad notes. That way they can review them tonight at home, easily. (They take their iPads home every night.) Below is our copy of our classroom notes.

#### Resources

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The Greatest Product Game is an awesome way to get kids to practice their multiplication. I change and modify this game to fit needs of kids very easily! Because it is done with dice, you can use this game in any way that fits your needs. Adjust the dice, adjust the limits, whatever you need to do to fit the student's needs. (The Basic Level Rules are typed up on the SB file in section 2.) I differentiated this game for my mid and high level students. Those rules are below.

**Object of the Game:** Roll dice and create a 4 digit factor that produces the largest product they can.

**Dice: **I use 4 of one color and 1 of another. That way they can remember which dice stands for the 1 digit factor. * High end students could use 2 dice for the 1 digit factor and add them together, creating factors larger than 6.

The partners decide what place value they want ( excluding 1 digit) to practice (up to thousands place).They roll as many dice as are in that place value. Then they roll the 1 die to produce the other factor.

They independently and secretly create the largest number to produce the largest product.

**Mid Level to high level rules:** Roll up to 5 dice **together.** Independently create the greatest product up to 4 digit by 1 digit from all five dice. If they choose to start at hundreds place, they still create the greatest factors they can from all 5 dice. These rules increase their thinking and reasoning to a higher level because they have to think about how to manipulate all the numbers.

The person with the greatest product wins! They are to check their work with calculators to determine accuracy. If the person is wrong, the other partner gets the point.

I partnered my students strategically. Some mid level students needed to be partnered with higher level students to just push them further. I paired one lower end student with a higher level student to help them remember to add their partial products and push them into 4 x1 digit. My extremely low students (2) I placed with one another and had our aide work with them so that they could at least feel mastery of 3x1 digit.

The game began and I heard students comment over and over again about how much fun they were having.Greatest Product Game Also, one student remarked that they could do it at home to practice and get better at multiplying. My aide thought it was a blast too! She could easily help my struggling students and noted that they were having a great time, as well as showing evidence of thinking. This film clip shows how we were adjusting how the game would be played for some students who aced the basic rules.Adjusting to needs.

Another clip shows how these boys were finding their mistakes. The enthusiasm about playing really shows here.Finding our Mistakes

I included this snippet because I love the tone and sound of them trying to explaining what they did wrong. It was fun to hear students be excited about finding mistakes when they compare each other's answer.

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- UNIT 1: Place Value and Multi-Digit Addition & Subtraction
- UNIT 2: Metric Measurement
- UNIT 3: Graphing and Data
- UNIT 4: Concepts of Multiplication
- UNIT 5: Geometry
- UNIT 6: Fractions 1: Understanding Equivalence in Fractions and Decimals
- UNIT 7: Fractions 2: Addition and Subtraction Concepts/ Mini unit
- UNIT 8: Fractions 3 Mini Unit: Multiplying Fractions by Whole Numbers
- UNIT 9: Division Unit
- UNIT 10: Addition and Subtraction: Algorithms to One Million
- UNIT 11: Place Value
- UNIT 12: Addition and Subtraction Word Problems
- UNIT 13: Multiplication Unit

- LESSON 1: Pretesting The Multiplication Unit
- LESSON 2: Introduction to Area Models
- LESSON 3: Area Models: Extension of Understanding
- LESSON 4: Area Models: 4 Digit by 1 Digit Multiplication
- LESSON 5: Getting Ready to Quiz: The Greatest Product Game
- LESSON 6: Quiz 1 in Multiplication: Area Model fluency 1x2,1x3 & 1x4 digits
- LESSON 7: Estimation of Products Using 1 Digit up to 4 Digit Equations.
- LESSON 8: Multistep Word Problems, Algebraic Concepts & Equations: Strategy Toward Mastery!
- LESSON 9: Quiz 2 : Multiplication Word Multi-Step Problems: 1x2,1x3,1x4 digit and estimation
- LESSON 10: An 1870's Classrom Meets Common Core: Drilling Math Facts & a Game of What's Wrong with This Answer?
- LESSON 11: Double Digit Multiplication and the Area Model
- LESSON 12: Powers of Ten: Review and Practice and Writing Clear Explanations
- LESSON 13: Multi-step word problems: Review and Support to Mastery
- LESSON 14: Quiz 3: Double Digit Multiplication, Estimation and Solving Word Problems
- LESSON 15: Estimating Double Digit by Double Digit Multiplication
- LESSON 16: Reviewing for Multiplication Assessment: A student jigsaw presentation.
- LESSON 17: RTI: Making Solving One Step Word Problems a Piece of Cake!
- LESSON 18: Estimation Scenarios: Writing Estimation story problems.
- LESSON 19: Assessing Multiplication