Dividing Integers Lesson
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by Felix Gabathuler
| 33 Questions Today, you will be learning/teaching yourself how to divide integers. Please open your notebook and create a new heading "Dividing Integers Lesson" with today's date. Do that now. Like, right now! 2
1
Using the fewest words possible, define the word "quotient"? Use the internet if you need help!
3
1
Look at the picture below. It represents the integer -15.

How could you model the expression -15 ÷ 3? Draw your diagram below. Use the circles tool if needed.
4
1
The model shown best represents the answer to which expression?

- 9(- 3)
3 ⋅ 3
- 9 ÷ (- 3)
- 9 ÷ 3
5
1
Rewrite the product 3 ⋅ 4 = 12 as a quotient in two different ways. (Example, 1 ⋅ 2 = 2 can be rewritten as 2 ÷ 1 = 2.)
6
1
Is 15 ÷ 5 the same thing as 5 ÷ 15 ? (Hint - does the commutative property work for division?)
Ummm no...
Sure... I guess...
7
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A quotient can be undefined. Use whatever means possible (Big Ideas Book, internet, classmates, Mr. Felix) to explain what it means for a quotient to be undefined. Write your explanation in your notes as well. It should look like this in your notes:

Undefined Quotient - blah blah definition blah
9
1
Using the same football field:
Given that the area is 6400 yards squared and the length from end to end is 120 yards, what is the width? Round your answer to the nearest whole number. Using appropriate math practices, convince me that you are correct.
10
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The quotient of two integers with the same sign is positive. Which expressions below result in a positive number?
9 ÷ 3
−6 ÷ (−2)
2÷ (−1)
−8 ÷ (−2)
8 ÷ - 2
11
1
The quotient of two integers with different signs is negative. Which expressions below result in a negative number?
-9 ÷ 3
−6 ÷ (−2)
8 ÷ - 2
−8 ÷ (−2)
2÷ (−1)
12
1
Fill in the blanks (multiple correct answers): When you divide a __________ integer by a __________ integer, you get a _______ integer.
negative, negative, negative
positive, positive, negative
negative, negative, positive
positive, positive, positive
positive, negative, negative
negative, positive, negative
13
1
What does the word evaluate mean in math? Use whatever means possible (Big Ideas Book, internet, classmates, Mr. Felix) to explain what that means. Write your explanation in your notes as well. It should look like this in your notes:

Evaluate - blah blah definition blah
14
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Evaluate −18 ÷ (−6)
15
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Evaluate 75 ÷ (−25)
16
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Evaluate

17
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Evaluate 0 ÷ (−6)

18
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Evaluate −40 ÷ (−8)

19
1
Evaluate - 6 ÷ 0

20
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Look at the quotient.

Which of the following could be represented by the quotient?
Two friends split the cost of paying back a debt of \$8.00.
Two customers made withdrawals of \$8.00 each.
The basketball team was down by 8 points for the first two quarters in the game.
The store manager worked two hours overtime for 8 days.
21
1
Which of the following fractions is equivalent to  22
1
The order of operations determines which mathematical operation must be completed in order to correctly evaluate an expression. Put the following options in correct order of what you would do first to last when evaluating an expression. Once finished, write this in your notebook.
1. Parentheses
3. Exponents
4. Multiply/Divide
23
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The order of operations determines which mathematical operation must be completed in order to correctly evaluate an expression. For example, which operation should be completed first to evaluate this expresion:
− 6 ⋅ 5 + 8
D
− 6 + 8
− 6 ⋅ 5
5 + 8
24
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Evaluate (− 6 ⋅ 5) + 8 ÷ 2 . Convince me in your notebook! Remember your math practices! 25
1

26
1
Evaluate the expression when x = 8 and y = -4. Convince me in your notebook.

27
1
Evaluate the expression when a = -18 and b = -2. Convince me in your notebook.

28
1
Evaluate the expression when a = -18 and b = -6. Convince me in your notebook.

29
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What does calculating the "mean" of a set of numbers... mean?
30
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Find the mean of the following number set. Convince me in your notebook! Remember your math practices!

3, −10, −2, 13, 11 31
1
A snowboarder descends a 1200-foot hill in 3 minutes. What is the mean change in elevation per minute? Include units. Convince me in your notebook. Draw a diagram.
32
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The snowboarder then takes a chair lift 700 feet back up the moutain which takes 17 minutes. What is the new mean change in elevation per minute in relation to where the snowboarder first started before descending the mountain? Convince me in your notebook.
33
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The regular admission price for an amusement park is \$72. For a group of 15 or more, the admission price is reduced by \$25. How many people need to be in a group to save \$500? Convince me in your notebook. Remember your math practices!