# Prove Your Thinking! — Adding Strategies

#### 1 Hook — "When not knowing Math can cost you $15,000..."

- Show the You Tube video "When not knowing Math can cost you $15,000. http://youtu.be/BbX44YSsQ2I
- Use the Think-Pair-Share strategy and have the students partner up, discussing why knowing math is important.

- Use the Think-Pair-Share strategy. Pair up and discuss why knowing math is important. Partner A goes first and then Partner B afterwards. Have students paraphrase what they hear.

#### 2 Direct Instruction

### Common Core Standard:

Use place value understanding and properties of operations to perform multi-digit arithmetic.

- 4. Fluently add and subtract multi-digit whole numbers using the standard algorithm.

### Learning Target:

How can I use one or more of the six common strategies for Addition?

#### Problem:

Provide students with the math problem 117 + 114 and have them mentally add the numbers. Ask students to show you if they have an answer by showing one thumb for one way of solving a problem. Instruct students to add a finger if they can think of another way to solve the problem...and so on.

Instruct students to write down how they solved the problem.

#### Use Notability, Virtual Manipulatives, or Front Row to demonstrate, review, or teach the Addition strategies with the problem 117 + 114:

- Breaking Each Number into Its Place Value
- Making Landmark or Friendly Numbers
- Doubles/Near Doubles
- Making Tens
- Compensation
- Addding Up in Chunks

Tell the students that it isn't really that important to assign a name to a particular strategy, but instead it is better to be able to think of a variety of ways to prove their thinking and get to the answer. Think of this as knowing more than one way to get home.

Problem:

- Mentally solve the math problem 117 + 114. Show your teacher one thumb if you can think of one way to solve a problem. Add a finger if you can think of another way to solve the problem...etc.
- Write down how you solved the problem. (aka Prove it!)

#### 3 Guided Practice

- Model the Cooperative Learning technique called Rally Coach.
- Partner students up and assign "the student" and "the coach" for each group.
- Provide students with at least two math problems to add. (Have a few additional problems for fast finishers.)
- Have "the coach" watch and assist as their partner, "the student," completes one math problem in Doceri. Be sure to have the student record their written work, as well as their verbal explanation in Doceri. Another option is to have the coach video the student over their shoulder as they work.
- Have students review the product and offer suggestions for other strategies.
- Switch partners and repeat the process.

- Be sure you understand the Cooperative Learning technique called Rally Coach.
- Per your teacher's instructions, partner up. Determine "the student" and "the coach" for your group, if your teacher hasn't alread assigned the roles.
- Look to the board for two math problems to add. (There are a few additional problems to solve if you are fast finishers.)
- Complete one math problem using the Doceri app.
- Have "the coach" watch and assist you only if needed.
- Be sure to "Prove" your thinking by recording your written work, as well as your verbal explanation in Doceri. Another option is to have the coach video you over your shoulder, as you work.
- Review your finished product and discuss other strategies you could have used.
- Save your video to your camera roll.
- Switch partners and repeat the process with the next problem.

#### 4 Independent Practice

- Independently, have students use the Doceri app to "Prove" their thinking of a problem (ie. 128 + 116).
- Put up a few additional problems if more practice is necessary.
- Have students work on Front Row when finished.

- Independently, use the Doceri app to "Prove" your thinking of a problem (ie. 128 + 116).
- Practice few additional problems if necessary.
- Work on Front Row when finished.

#### 5 Closure

- Have students post a sample of their work in My Big Campus (MBC) in their Blog or under a teacher created discussion.

- Post a sample of you work in your My Big Campus (MBC) blog or under a teacher created discussion.