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by Felix Gabathuler
| 26 Questions
1
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?

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

3
1
Which color in the video represents a positive 1?
Yellow
Umm white?
The blue square?
Red
4
1
Which color in the video represents a negative 1?
Yellow
Umm white?
The blue square?
Red
5
1
What does the term "zero pair" mean?
6
1
What is the value of two zero sum pairs added together?
4
-2
0
-4
2
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:

Didn't finish... yet.
Finished it! I'm on FIRE!

# 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
Didn't finish... yet.
Finished it! I'm on FIRE!
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

0
27
-27
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!