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REPRESENTING SUBTRACTION A NUMBER LINE Add the opposite

Representing subtraction a number line web

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Page 1: Representing subtraction a number line   web

REPRESENTING SUBTRACTION A NUMBER

LINEAdd the opposite

Page 2: Representing subtraction a number line   web

Bell Ringer

What is subtraction?

Page 3: Representing subtraction a number line   web

Where we were…

Opposites, Zero Pairs, Additive Inverse

Commutative Property of Addition

Rules for Adding Integers…

Page 4: Representing subtraction a number line   web

Where we are…

Unit Plan Students will learn to…

Discuss strategies for adding integers.

Compare and contrast subtraction and addition of integers.

Page 5: Representing subtraction a number line   web

Strategies for Adding Integers

Number Line

Context Money Football Others?

Rules Adding like signs Adding opposite signs

Page 6: Representing subtraction a number line   web

Is p – q = p + (-q)

Explain

Page 7: Representing subtraction a number line   web

Group Activity

Write down the problem assigned to your group.

Solve using a number line. Compare with others in your group.

Compare with someone in your partner group.

Discuss the questions.

Page 8: Representing subtraction a number line   web

Model on a Number Line

Group 1: 8 – 3

Group 2: 7 – 13

Group 3: -15 - 6

Group 4: 8 + (-3)

Group 5: 7 + (-13)

Group 6: -15 + (-6)

Write the problem above your number line.

Page 9: Representing subtraction a number line   web

Compare with Other Group

GROUPS 1 and 4 2 and 5 3 and 6

Discussion Questions: How are your problems

similar? How are they different? What previous vocabulary is

used?

Page 10: Representing subtraction a number line   web

Model on a Number Line

Group 1: 8 – 3

Group 2: 7 – 13

Group 3: -15 - 6

Group 4: 8 + (-3)

Group 5: 7 + (-13)

Group 6: -15 + (-6)

Page 11: Representing subtraction a number line   web

Changing Subtraction to Addition

8 – 3 8 + (-3)

7 – 13 7 + (-13)

- 15 – 6 -15 + (-6)

Page 12: Representing subtraction a number line   web

- 2 – (-9)

- 2 + 9

Add the Opposite

Page 13: Representing subtraction a number line   web

Is p – q = p + (-q)

Explain

Page 14: Representing subtraction a number line   web

Subtraction Strategies

Use a number Line

Use context Money Football Others?

“Add the Opposite” and use rules for addition

Page 15: Representing subtraction a number line   web

Homework

Check homework

Quiz

Page 16: Representing subtraction a number line   web

Homework

Integer Investigation

SHOW ALL STEPS

Pick one of the strategies and use it… Pictures Number Line Rules Context

Page 17: Representing subtraction a number line   web

Exit Ticket

When would using a number line to model addition or subtraction of integers not be an efficient strategy?

1 minute – talk with your partner

2 minutes – Power Write

Page 18: Representing subtraction a number line   web

Bell Ringer

When would using a number line to solve addition or subtraction of integers not be an efficient strategy?

Page 19: Representing subtraction a number line   web

Where we were… Addition Strategies

Number line Context Rules

Same signs – add and keep the signs Opposite signs – subtract, keep sign of # w/

largest absolute value. Subtraction strategies

Number Line Context “add the opposite” and use rules for addition

Page 20: Representing subtraction a number line   web

Where we are…

Students will learn to…

Review the strategies used for adding and subtracting integers.

Page 21: Representing subtraction a number line   web

Practice

On Jeopardy, Jill answered one question correctly for 400. She then answered two questions incorrectly, one for 100 and the other for 200.

Write an ADDITION expression to represent the situation.

Write a SUBTRACTION expression to represent the situation.

How many total points did Jill have?

Page 22: Representing subtraction a number line   web

Practice On Jeopardy, Jill answered one question

correctly for 400. She then answered two questions incorrectly, one for 100 and the other for 200.

Write an ADDITION expression to represent the situation. 400 + (-100) + (-200)

Write a SUBTRACTION expression to represent the situation. 400 – 100 - 200

How many total points did Jill have? 100

Page 23: Representing subtraction a number line   web

Practice

A deep sea diver saw his jelly fish at 12 feet below sea level. He dove down another 20 feet before he finally saw another jelly fish.

Write an ADDITION expression that shows this scenario.

Write a SUBTRACTION expression to represent the situation.

What was the total depth of the diver?

Page 24: Representing subtraction a number line   web

Practice A deep sea diver saw his jelly fish at 12

feet below sea level. He dove down another 20 feet before he finally saw another jelly fish.

Write an ADDITION expression that shows this scenario. -12 + (-20)

Write a SUBTRACTION expression to represent the situation. -12 - 20

What was the total depth of the diver? -32 ft

Page 25: Representing subtraction a number line   web

Practice

John owed his mom $40 for a new pair of shoes. He then borrowed $15 for a new DVD.

Write a SUBTRACTION expression that shows this scenario.

How much money does John owe?

Page 26: Representing subtraction a number line   web

Practice

John owed his mom $40 for a new pair of shoes. He then borrowed $15 for a new DVD.

Write a SUBTRACTION expression that shows this scenario.

-40 – 15 -40 + (-15)

How much money does John owe? -$55

Page 27: Representing subtraction a number line   web

Homework

Write an expression for each problem.

Solve any way you choose.

Label your answer.