represent addition and discover the rules web

When finding the sum of two negative numbers, will the answer be negative, positive or sometimes negative/sometimes positive?

Aaron – The answer will always be negative.

Betty – The answer will always be positive.

Clint – It depends on the numbers, sometimes it will be positive but sometimes it will be negative.

I agree with Aaron/Betty/Clint because…

Opposites

Absolute value

Additive Inverse

Integers

Commutative Property

Unit Plan

Students will learn to…

Determine the signs when adding and subtracting integers..

Represent addition of positive and negative numbers using a number line.

What are the possible combinations of addition problems?

Positive + Positive

Positive + Negative

Negative + Positive

Negative + Negative

Fold your notecard in half.

Write the following problems in the designated area of your notecard.

Front Left

4 + 3

2 + 8

3 + 5

Front Right 4 + (-3)

2 +(- 8)

3 + (-5)

Back Left

-4 + 3

-2 + 8

-3 + 5

Back Right -4 + (-3)

-2 + (-8)

-3 + (-5)

Bring your note card and notebook

Bring a pencil

We will model each problem together.

Write the answers on your notecard.

Make sure to get your negative sign, if needed.

Stay to the right

Walk in a line

Respect other classes by being quiet.

When finding the sum of two negative numbers, will the answer be negative, positive or sometimes negative/sometimes positive?

Who do you agree with now? Explain

Anytime you add negatives, your answer is always negative.

Write the following prompts…

A positive + positive means my answer is…

A positive + negative means my answer is…

A negative + positive means my answer is…

A negative + negative means my answer is…

In order to get a first down in football, the offensive team must gain 10 yards. On their first two plays, the Bears gained 5 yards and then lost 5 yards. How many yards do they need to gain on the third play to get a first down?

Write the math sentence that describes this situation.

Justify your response using math terminology.

Normal Temperatures for January(F)

1) Order the High temperatures from least to greatest.

2) Order the Low temperatures from least to greatest.

3) Which city has the highest average temperature?

City High Low

Barrow, Alaska -8 -20

Bismarck, N. Dakota 21 -1

Caribou, Maine 19 0

Duluth, Minn. 18 -1

Omaha, Nebraska 32 13

Opposites, Zero Pairs, Additive Inverse

Represent addition on a number line

Football field

Homework

Commutative Property of Addition

Students will learn to…

Demonstrate understanding of Opposites, zero pairs and additive inverse.

Discover the rules for adding integers.

Blue whales swim to different areas of the ocean depending on the water temperature. One whale that was being tracked was swimming at 100 feet below sea level. As the water he was swimming in began to heat up, he moved down another 50 feet below sea level.

1) Write a math sentence that represents this scenario.

2) What is the blue whale’s depth?

3) The whale decided to return to sea level. Write a math sentence that shows the entire journey.

1) -100 + (-50 )

2) -150 ft.

3) -100 + (-50) + 150 = 0

Opposites, Zero Pairs, Additive Inverse

Representing addition on a number line.

Commutative Property

Quiz

Students will learn to…

Discover the rules for adding integers.

Discuss strategies for solving integers.

Your Goal:

Discover the rules for adding integers

The Process:

Analyze your notecards

Determine the rules for:

Adding integers with the same sign

Adding integers with the opposite sign

Which prompts are similar to each other?

1. A positive + positive means my answer is…

2. A positive + negative means my answer is…

3. A negative + positive means my answer is…

4. A negative + negative means my answer is…

4 + 3 = 7 4 + (-3) = 1 -4 + 3 = -1 -4 + (-3) = -7

2 + 8 = 10 2 + (-8) = -6 -2 + 8 = 6 -2 + (-8) = -10

3 + 5 = 8 3 + (-5) = -2 -3 + 5 = 2 -3 + (-5) = -8

Analyze the answers to the expressions.

1. When signs are the same…

2. When signs are opposite…

43

Rule: To find the value of 43 , multiple 4 x 4 x 4

When your group has finished, stand up.

Meet with another group that has stood up.

Groups should take turns reading their rules to each other.

If you agree, you may sit back down.

If you disagree, discuss and try to come to a consensus.

When adding integers with the same sign…

When adding integers with the opposite sign…

When adding integers with the same sign…

Add and keep the sign

When adding integers with the opposite sign…

Subtract, keep sign of number with largest absolute value (largest digit)

Number Line

Context Money

Football

Others?

Rules for adding integers

Which strategy works best for you? Why?

At least 1 paragraph…