§7 Understand Negatives
§8 Fluency Add Negatives
§9 Understand Subtraction
§10 Add and Subtract Integers
Random
100

Define an integer and give two examples and one non example.

What is a whole number and its opposite. 

Example : 0, -1, 1, 2, -2, ...

Non Example : 0.1, -1.4,  1/2,7/13 , ...

100

Complete the model to find - 9 + 9. Show your work.

What is zero?

100

Which situation could the expression (-19) - 4 represent?

A. A submarine was 19 meters below the surface of the ocean. Then it moved 4 meters closer to the surface of the ocean.

B. Riana owed David $19. Then she gave him $4.

C. The temperature was -19 degrees. Then it decreased 4 degrees.

D. Kevin had 19 pieces of gum. He gave 4 pieces away.

What is C?

100

Model  5 - (-3)  using integer chips.

What is 8?

100

Solve the following problem involving fractions

 1/3 + 5/3 . SImplify the fraction.

What is 

=(1+5)/3=6/3 =2 ?

200

Write an addition equation to represent the number line below.

What is  (-2)+(-3) ?

200

Jeremy says the sum of two numbers can never be negative. Explain why Jeremy’s reasoning is incorrect. Use a model. Show your work.

Ex.  -10+2 is negative. The sum is negative if the number with the negative sign is greater than the number without. 

200

Why does  -3.6-(-4) have the same result as  -3.6+4 ? Explain your reasoning.

Because subtracting numbers is the same as adding the opposite of the second number.  (a-b)=a+(-b) 

200

Model   8 + (-5)  using integer chips.

What is 3?

200

Solve the following problem involving fractions

  3/7 + 2/14 . SImplify the fraction.

What is  6/14+2/14=(6+2)/14=8/14=4/7 ?

300

Determine whether the sums are positive or negative. Explain your reasoning.

 a. 43+(-34) 

and

 b. 34+(-43) 

What is 

a. Positive

b. Negative

The larger number determines what the sign of the answer will be.

300

Complete the model to find - 10 + 12.

What is 2?

300

Rewrite the problem as an addition problem.

 -15-(-11) 

What is  -15+11=-4 

300

Model  5 - (-3)  using a number line.

What is 8?

300

Solve the following problem involving decimals

  12.56+27.49  .

What is  40.05? 

400

Decide if the sum of each expression is positive or negative.

What is

 a. Negative

b. Negative

c. Positive

d. Positive

400

The sum of -26 and -37

What is -63?

400

Rewrite the problem as an addition problem.

 3 3/8-(-6 6/8) 


What is  3 3/8 +6 6/8=9 9/8=10 1/8 

400

Model  8+(-5)  using a number line.

What is 3?

400

CALCULATOR STUDENT

Brendan throws a rock into a pond. The bottom of the pond is -12.6 ft from the surface of the pond. Brendan is on a patio that is 2.7 ft above the pond. 

How many feet apart are Brendan and the rock? 

What is  |(-12.6)-2.7|=|2.7-(-12.6)|=|15.3| or Brendan and the rock are 15.3 ft apart.

500

Determine a scenario where negative numbers apply to the real world.

What is sea level, what is height relative to a cliff, what is a height relative to any object to represent zero(water, cliff, a bird in a tree)

500

In the middle of a game, Dawn has a score of 217. At the end of the game, Dawn’s

score increases by 21. What is Dawn’s score at the end of the game?

What is 238 points?

500

Find a counter example that shows the difference of two negatives number is always negative. 

What is any value of the second number that is less than or equal to the first number.

 a+(-a)=0 or 3-(-3)=3+3=6 

500

Which value of x makes the following statement true?

 1.9-x=   a negative number

What is if  x is greater than  1.9 ?

500

An anchor 15  3/5 m below the surface of the ocean is lowered 4  1/5  m. Then it is pulled up 12  3/5 m. What is the anchor’s new position? Show your work.

What is  (-15 3/5)+(-4 1/5)+12 3/5=(-19 4/5)+12 3/5=-7 +(-1/5) 

or the anchor’s new position is  7 1/5 m below the surface of the ocean.