##
* *Reflection: Developing a Conceptual Understanding
Addition With Dice Dot Patterns - Section 3: Playing the Game

At this point in the year (November 11), I want my students moving to the counting on strategy and away from the counting all approach. This activity gives me a chance to see how the students are developing with this goal. Understand that some students are also using know facts and don't need to go back to the counting on strategy and others are still relying on the counting all approach. As I am circulating around the class (during this activity), I will take time to help students (who are still at the emergent level) model and practice the counting on strategy.

*Counting On*

*Developing a Conceptual Understanding: Counting On*

# Addition With Dice Dot Patterns

Lesson 5 of 11

## Objective: SWBAT use written numbers and standard notation (+,-) to the quantities and actions they represent.

### Thomas Young

## Big Idea: You down with DOT (Yeah you know me) [x3] Who's down with DOT (Every last homie) You down with DOT (Yeah you know me) [x3] Who's down with DOT (All the homies) The student are engaged with a dot addition activity that is definitely not Naughty By Nature!

*70 minutes*

### Thomas Young

#### Warm Up

*5 min*

Using the dot image cards in the section resource (make three copies), follow the quick image routine and flash the 4 & 3 cards. Then repeat with 5 & 2, and 2, 2, & 3. I am looking to see if students can relate 5&2 to the conversation with 4&3. I am looking for them to see the relationship with the 2,2,&3 as well.

#### Resources

*expand content*

Advanced Preparation: Using the resources in the section resource, you will need 3 game boards and one set of dot cards per team. To make a set of dot cards, you will have to make enough copies so that each set has 8 cards with two dots, 4 cards with three dots, 4 cards with four dots, and 4 cards with five dots. I would make one set and then photo copy the set and have each team cut out their own.

I gather the students in a circle on the carpet and lay out the cards face up.

*"I would like you to share a way that you can make 6." *

Have a few students share their combinations. When you feel everyone has the idea move forward with the explanation of the activity.

- Deal out the cards into a 4x5 array (face up).
- Ask for a volunteer to play against you.
- Each player takes a game board and leave one game board in the middle.

*"The object of the game is to move the cards onto the game board to make combinations for each number. There will be more than one answer for each number." Once you find a combination, you can write the number combination as an equation on your own board. After you record your combination, you can clear the board and put the numbers back into the array."*

There is a video clip of this introduction in the section resource.

*expand content*

#### Playing the Game

*25 min*

Students pair up and play the game that was just introduced int he previous section. You will want to have extra copies of the game board sheet as needed.

While students are working, you will want to circulate and observe how students find combinations for each number. Is it random or are they counting on from one number? Are there any known facts that students have mastered? How do students do with writing equations? The CCSS want students to make sense of problems and persevere in solving them. The expectation is that mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution (**CCSS.Math.Practice.MP1**). In this case, the students are looking for a number to start with and then counting on from that number.

*expand content*

#### Session Wrap Up

*15 min*

Gather the students in a circle and write the number 12 on the white board. This was a number from their game board.

*"I would like to know how you found combinations for the number 12."*

As a student gives you a combination, you should draw the dots for each number he/she used. Then have them explain how the found the sum. Watch the video titled Using Known Facts to see an example of a student explaining a more in depth way of finding the sum of his dots.

Do this for several different combinations. The focus should be on the students sharing the strategy he/she used to find the sum. With the implementation of Common Core, students are expected to attend to precision by communicating precisely to others their thoughts, approaches, and thinking (**CCSS.Math.Practice.MP6**). In this episode, students are explaining to their peers how they found the sum of the dots. This discussion develops the relationship of counting to addition (CCSS.Math.Content.1.OA.C.5). The students are communicating with precision because they are elaborating on the strategy used to find the sum of the dots. They are not just sating an aster but rather explaining their thinking for others to learn from.

#### Resources

*expand content*

#### Continued Practice

*5 min*

Students should complete the page Combinations. It can be found in the resource section. The Combinations Differentiated sheet should be used for those students who will still need the dots to solve three addend equations.

*expand content*

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- UNIT 1: Counting Quantities
- UNIT 2: Working with Numbers, Operations, and Story Problems
- UNIT 3: Counting & Comparing
- UNIT 4: Blending
- UNIT 5: Building Numbers
- UNIT 6: Shapes Within Shapes
- UNIT 7: Data and Analysis
- UNIT 8: Non Standard Measuring
- UNIT 9: Shapes Within Shapes
- UNIT 10: Working with Numbers, Operations, and Story Problems
- UNIT 11: The Number 10 and the Addition and Subtraction Concept
- UNIT 12: The Ten Concept: Counting On and Off the Decade and Knowing 10 More/ 10 Less
- UNIT 13: Fraction Action Lessons
- UNIT 14: Counting by Groups
- UNIT 15: Complements of 10 and 20
- UNIT 16: Money!
- UNIT 17: Shapes, Blocks, and Attributes
- UNIT 18: Reviewing Data Collecting and Graphing

- LESSON 1: Counting the Total
- LESSON 2: Finding the Hidden Addend
- LESSON 3: Combinations, Day 1
- LESSON 4: Combinations, Day 2
- LESSON 5: Addition With Dice Dot Patterns
- LESSON 6: The Addition Rendition
- LESSON 7: Counting From A Number
- LESSON 8: Story Problems Involving Addition
- LESSON 9: Addition and Subtraction Carnival
- LESSON 10: Addition and Subtraction Carnival Day 2
- LESSON 11: Assessing Counting