Unit 1 - Integers in the World - Math - 7th Grade - GA -23

Draw

Use the number line to determine the sum.

Draw

Use the number line to determine each sum.

We are learning to use concrete
objects and visuals to understand
rational and irrational numbers.

Use models and tools to solve and explain the
sum of differences of integers in real life context.

❏ I can show that a number and its opposite have

a sum of zero using counters or a number line.

❏ I can interpret sums of rational numbers in a

scenario.

• I can show that a number and its opposite
have a sum of zero using counters or a
number line.
• I can interpret sums of rational numbers in a
scenario

2.

PJ is scuba diving in

3.

Tamia is playing a round of golf. After the first hole, Tamia is currently
4 shots under par. On the next hole she misses par by 4 strokes.

Loss of Yards

Mountain Climber

Draw

. Draw a representation using 2-color counters to represent the number sentence.

Open Ended

3. 3.b. -12 + 4

4. What is the sum? Explain your thinking.

1.What is the change in temperature a customer in a grocery store experiences when
they walk from the chilled vegetable section at 4 ºC to the frozen fish section which is
set to −18 ºC?

2.At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature
rose by 17° and then fell by 4° by night. What was the temperature at the end of the
day?

3.You park in a garage 3 floors below ground level. Then you get in the elevator and go
up 12 floors. What floor do you get off the elevator? How do you represent 3 floors
below ground level?

4.A research team aboard an underwater research vessel descends 1,200 feet beneath the
surface of the water. They then rise 255 feet and descend again 150 feet. Where are they
currently located?

5.When Jasmine woke up, her temperature was 1020 F. Two hours later it was 50 lower.
What was her temperature then?

a

1.What is the change in temperature a customer in a grocery store experiences when
they walk from the chilled vegetable section at 4 ºC to the frozen fish section which is
set to −18 ºC?

2.At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature
rose by 17° and then fell by 4° by night. What was the temperature at the end of the
day?

3.You park in a garage 3 floors below ground level. Then you get in the elevator and go
up 12 floors. What floor do you get off the elevator? How do you represent 3 floors
below ground level?

4.A research team aboard an underwater research vessel descends 1,200 feet beneath the
surface of the water. They then rise 255 feet and descend again 150 feet. Where are they
currently located?

5.When Jasmine woke up, her temperature was 1020 F. Two hours later it was 50 lower.
What was her temperature then?

How might these scenarios be represented using an equation?
How might these scenarios be represented using a visual representation?
As a group, Represent the scenarios using the number lines or
counters.
1. Marly ran the football 3 yards on 1st down. On second down he
fumbled the football and lost 5 yards.

2. PJ is scuba diving in the ocean. He spots two dolphins 4 feet
below the surface. He swims to the surface to notify his friends still
in the boat. Just then, one dolphin jumps 5 feet above the surface.

3. Tamia is playing a round of golf. After the first hole, Tamia is
currently 4 shots under par. On the next hole she over par by 3
strokes.

Multiple Choice

1. Which number sentence correctly shows the scenario?

2. Marly ran the football 4 yards on 1st down. On second down he fumbled the football and lost 4 yards.

• 4 + -4

• • -4 + 4

• 4 -1

• 1 + 4 - 4

Open Ended

Write an expression that could represent the given scenario.

2. PJ is scuba diving in the ocean. He is 4 feet below the surface when he spots two dolphins. He swims to the surface to notify his friends still in the boat.

Open Ended

Write an expression that could represent the given scenario.

3. Tamia is playing a round of golf. After the first hole, Tamia is currently 4 shots under par. On the next hole she misses par by 4 strokes.

Open Ended

1. At sunrise, the outside temperature was 1° below zero. By lunch time, the temperature rose by 17° and then fell by 4° by night. What was the temperature at the end of the day?

Open Ended

2. You Park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator? How do you represent 3 floors below ground level?

Open Ended

3. A research team aboard an underwater research vessel descends 1,200 feet beneath the surface of the water. They then rise 255 feet and descend again 150 feet. Where are they currently located?

Open Ended

4. When Jasmine woke up, her temperature was 1020 F. Two hours later it was 50 lower. What was her temperature then?

Watch
This

Open Ended

What did you notice in the video? What questions come to your mind?

Open Ended

What is the main question?

Open Ended

The Main Question has a low estimate of ________ and a high estimate of ________.

Open Ended

What information would you like to know or do you need to solve the MAIN question?

Open Ended

What was the result? How appropriate was it to your initial estimate?

​Reflect...

Multiple Choice

If you started at + 3 on your number line and go 4 places in the negative direction, what number would you land on?

• -1

• 0

• 1

• 7

Open Ended

4. When adding two integers, what will the sign of the sum be if:

a. both integers are positive?

b. both integers are negative?

c. one integer is negative, and one integer is positive?

(answer all)

Multiple Choice

If you quickly look at two-color counter model, how can you conclude the sum of the two integers will be negative?

• There is less than another

• There are more negative counters than positive counters

• There are more positive counters than negative counters

• If you are adding, it can't be negative

Multiple Choice

If you quickly look at two-color counter model, how can you conclude the sum of the two integers will be positive?

• There is less than another

• There are more negative counters than positive counters

• There are more positive counters than negative counters

• If you are adding, it can't be negative

1.Write a number sentence that has at least one negative integer. Then,
represent your number sentence with a word problem and represent it
using two-color counters or a number line.

2.

Write an addition problem that has a sum of -24. Include one positive
number and one negative number in your problem.

Draw

Write a number sentence that has at least one negative integer. Then, represent your number sentence with a word problem and represent it using two-color counters or a number line.

Open Ended

Write an addition problem that has a sum of -24. Include one positive number and one negative number in your problem.