number talks. why? promotes early number sense fosters mental math develops strategies to understand...

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Number Talks

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Page 1: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Number Talks

Page 2: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

WHY?

• Promotes early number sense

• Fosters mental math

• Develops strategies to understand and solve harder math problems

• Increases math vocabulary

• Gets students EXCITED about math

Page 3: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Teacher's Role

• Facilitator of problems

•Write answers and strategies on board

• Plan for day's number talks

• Be sure Number talks only lasts 5-10 minutes ***Set a timer at first

Page 4: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Where do I start?

Using your Number Talks book, start at least one year below your grade level.

Be prepared with all manipulatives.

Be Patient!

Get ready to be AMAZED!

Page 5: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Signals

• "I have an answer":Student places thumb at chest for ONE idea, they will add a finger for each new idea.

• "I have the same answer as......":Student will put their thumb and pinky up and move their hand back and forth pointing their thumb at themselves and their pinky at the person with the same answer.

Page 7: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

4 Easy Steps to prepare

1. Find a location that allows for close proximity to your students for informal observations and interactions.

2. Provide appropriate WAIT TIME for majority of students to solve the problem.

3. ACCEPT, RESPECT, and CONSIDER all answers.

4. Encourage student communication.

Page 8: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Four Goals for K-2

1. Developing number sense

2. Developing fluency with small numbers

3. Subitizing

4. Making tens

Page 9: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Fluency Focus

Page 10: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Fluency Focus

Page 11: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Fluency Focus

Page 12: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Fluency Focus

Page 13: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 14: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 15: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 16: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 17: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 18: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 19: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 & 10 Frames

Page 20: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Grades 2-5 Category KEY

Category 1 represents introductory number talks that more readily encourage a specific strategy.

Category 2 talks are crafted for students who are successfully using the selected strategy.

Category 3 provides opportunities for students to use and extend the targeted strategy.

Page 21: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

WHAT DOES THE “K” STANDARD CALL FOR?

Page 22: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

3. Decompose numbers less than or equal to 10 into pairs in more

than one way, e.g., by using objects or drawings, and record each

decomposition by a drawing or equation (e.g., 5 = 2 + 3 and 5 = 4

+ 1).

Page 23: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

4. For any number from 1 to 9, find the number that makes 10 when

added to the given number, e.g., by using objects or drawings, and

record the answer with a drawing or equation.

Page 24: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5. Fluently add and subtract within 5.

Page 25: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 1: Two addends that make a quick ten

Making

Ten

Page 26: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

7 + 3

7 + 5 + 3

3 + 6 + 7

Page 27: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 + 5

5 + 6 + 5

5 + 9 + 5

Page 28: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

9 + 5 + 1

8 + 9 + 1

1 + 4 + 9

Page 29: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 1 : using compensation as a strategy for basic facts…

Addition:Compensation

Page 30: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

5 + 5 4 + 6 6 + 6 5 + 7

Page 31: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 2 : using compensation as a strategy for basic facts…

Addition:Compensation

Page 32: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

19 + 6 9 + 16 9 + 26 29 + 6

Page 33: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Goals for Third-Fifth Grades

1. Number sense

2. Place value

3. Fluency

4. Properties

5. Connecting mathematical ideas

Page 34: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

MULTIPLICATION

Page 35: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 1

build knowledge from one problem to the next

Making Landmark OR

Friendly Numbers

Page 36: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

2 X 25 4 X 25 6 X 25

Page 37: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

7 X 5 7 X 10 7 X 9

Page 38: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

2 X 25 4 X 20 2 X 50 4 X 50

Page 39: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Skill Focus

Page 40: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Skill Focus

Page 41: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Skill Focus

Page 42: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 2 use relationships from the sequence to solve the final 1 X 3 digit problem

Making Landmark Or

Friendly Numbers

Page 43: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Category 24 X 25

4 X 200 4 X 250 4 X 249

Page 44: Number Talks. WHY? Promotes early number sense Fosters mental math Develops strategies to understand and solve harder math problems Increases math vocabulary

Check Out the Number Talks Tab

Each K-5 Livebinder has additional resources for the classroom teacher.

Also check out these resources:

Barb Tyre's site