Adding Integers

by Felix Gabathuler

| 26 Questions1

1

Today you are going to master the skill of summing integers. First off, please write below the answer to this question:

What are the characteristics of an integer? What makes an integer an integer? Be as specific as possible.

2

1

What does it mean to "sum" numbers? Can you give an example?

You are going to learn about summing integers today by using integer counters. These are the little red and yellow circles that you saw at the top of the page. Please get 10-15 integer counters each from the high table in the back and bring them to your desk.

Once you have them, please watch the short video below.

3

1

Which color in the video represents a positive 1?

The blue square?

Yellow

Umm white?

Red

4

1

Which color in the video represents a negative 1?

The blue square?

Yellow

Umm white?

Red

5

1

What does the term "zero pair" mean?

6

1

What is the value of two zero sum pairs added together?

-2

4

-4

2

0

7

1

What is the value of the picture below?

8

1

What is the value of the picture below?

9

1

Can you write an equation that represents the picture below and the solution after summing?

10

1

You will need the integer counters and your phone to answer this question.

1. Using the integer counters, create a scenario that models -3 + (- 5). Place your integer counters on a white piece of paper and take a picture. Then upload that picture below.

2. Evaluate -3 + (-5). Write your answer in the space provided below.

11

1

You will need the integer counters and your phone to answer this question.

1. Using the integer counters, create a scenario that models 4 + (- 9). Place your integer counters on a white piece of paper and take a picture. Then upload that picture below.

2. Evaluate 4 + (- 9). Write your answer in the space provided below.

12

1

You will need the integer counters and your phone to answer this question.

1. Using the integer counters, create a scenario that models -2 + 6. Place your integer counters on a white piece of paper and take a picture. Then upload that picture below.

2. Evaluate -2 + 11. Write your answer in the space provided below.

13

1

Is the sum of two integers positive, negative, or zero? How can you tell?

14

1

You will need the integer counters and your phone to answer this question.

Create three different groupings of positive and negative numbers who's sum is -2. You cannot use the same number twice. Attach all three photos below. Get creative people!

15

1

Write one general rule each for adding (a) two integers with the same sign, (b) two integers with different signs, and (c) two integers that vary only in sign.

16

1

Use a whiteboard and marker, or pen and paper, to complete the following lesson:

Signs of Sums

Finished it! I'm getting warmed up!

Didn't finish... yet.

17

1

Use a whiteboard and marker, or pen and paper, to complete the following lesson:

Adding Negative Numbers

Finished it! I'm on FIRE!

Didn't finish... yet.

Let's incorporate the number line. It's a really useful tool when trying to picture what is happening when you sum integers. Watch the video below to get a feel for it, then continue on to the following questions.

18

1

This one's a little tricky! You're going to need to use your whole brain to answer these questions!

Missing numbers on the number line

Finished it! I'm on FIRE!

Didn't finish... yet.

19

1

Can you write an equation that represents the scenario being modeled on the number line below?

In your digital BIG IDEAS textbook, read page 10 - 11. Write in your notes the definitions to the two words highlighted in yellow. Also, make note of the KEY IDEAS.

20

1

In your own words, describe what an additive inverse is. Use an example to convince me you are correct.

21

1

What is the opposite of

14

-14

0

22

1

What is the opposite of

27

-27

0

23

1

According to legend, the Chinese Emperor Yu-Huang saw a magic square on the back of a turtle. In a magic square, the numbers in each row and in each colum, and diagonally, have the same sum. This sum is called the magic sum.

Below you can see a picture of the turtle that the Chinese Emperor saw. Complete the magic square so that each row and each column has a magic sum of 0. Use each integer from -4 to 4 exactly once.

24

1

Here is another magic square. Are you up to the challenge of completing it? Fill in the missing boxes.

25

1

Uh oh... no magic number. What will you do? Are you up to the challenge of completing it? Fill in the missing boxes.

26

1

Now comes the really tricky part. Can you come up with your own magic square? You have to use positive and negative numbers. Go ahead, earn your E and impress me!

Add to my formatives list

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