IM: 7.5.3: Changing Elevation (Lesson)

Posljednje ažuriranje over 1 year ago

3.1: That's the Opposite

Draw arrows on a number line to represent these situations:

3.2: Cliffs and Caves

3.3: Adding Rational Numbers

Are you ready for more?

3.4: School Supply Number Line

IM: 7.5.3: Changing Elevation (Lesson)

Posljednje ažuriranje over 1 year ago

3.1: That's the Opposite

Draw arrows on a number line to represent these situations:

The temperature was -5 degrees. Then the temperature rose 5 degrees.

A climber was 30 feet above sea level. Then she descended 30 feet.

What's the opposite of each situation?

Running 150 feet east.

Jumping down 10 steps.

Pouring 8 gallons into a fish tank.

3.2: Cliffs and Caves

Explore the applet and then answer the questions.

https://curriculum.illustrativemathematics.org/MS/students/2/5/3/index.html

[Scroll to the tool under "3.2: Cliffs and Caves"]

A mountaineer is climbing on a cliff. She is 200 feet above the ground. If she climbs up, this will be a positive change. If she climbs down, this will be a negative change.

null

Complete the table.
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

A spelunker is down in a cave next to the cliff. If she climbs down deeper into the cave, this will be a negative change. If she climbs up, whether inside the cave or out of the cave and up the cliff, this will be a positive change.

Complete the table.
Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.

What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?

3.3: Adding Rational Numbers

Find the sums.

-35 + (30 + 5)

-0.15 + (-0.85) + 12.5

\frac{1}{2}+(-\frac{3}{4})

Are you ready for more?

Find the sum without a calculator.
10 + 21 + 32 + 43 + 54 + (-54) + (-43) + (-32) + (-21) + (-10)

3.4: School Supply Number Line

Your teacher will give you a long strip of paper.

Follow these instructions to create a number line.

Fold the paper in half along its length and along its width.
Unfold the paper and draw a line along each crease.
Label the line in the middle of the paper 0. Label the right end of the paper + and the left end of the paper -.
Select two objects of different lengths, for example a pen and a gluestick. The length of the longer object is a and the length of the shorter object is b.
Use the objects to measure and label each of the following points on your number line.

a
b
2a
2b
a+b
-a
-b
a+-b
b+-a

Complete each statement using <, >, or =. Use your number line to explain your reasoning.

IM: 7.5.3: Changing Elevation (Lesson)

IM: 7.5.3: Changing Elevation (Lesson)

The temperature was -5 degrees. Then the temperature rose 5 degrees.

A climber was 30 feet above sea level. Then she descended 30 feet.

Running 150 feet east.

Jumping down 10 steps.

Pouring 8 gallons into a fish tank.

Complete the table.Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table.Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.

​What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?

-35 + (30 + 5)

-0.15 + (-0.85) + 12.5

\frac{1}{2}+(-\frac{3}{4})

Find the sum without a calculator.10 + 21 + 32 + 43 + 54 + (-54) + (-43) + (-32) + (-21) + (-10)

Find the sum without a calculator.

The temperature was -5 degrees. Then the temperature rose 5 degrees.

A climber was 30 feet above sea level. Then she descended 30 feet.

Running 150 feet east.

Jumping down 10 steps.

Pouring 8 gallons into a fish tank.

Complete the table.Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table.Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.

​What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?

-35 + (30 + 5)

-0.15 + (-0.85) + 12.5

\frac{1}{2}+(-\frac{3}{4})

Find the sum without a calculator.10 + 21 + 32 + 43 + 54 + (-54) + (-43) + (-32) + (-21) + (-10)

Find the sum without a calculator.

Complete the table.
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table.
Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.

What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?

Find the sum without a calculator.
10 + 21 + 32 + 43 + 54 + (-54) + (-43) + (-32) + (-21) + (-10)

Complete the table.
Write an addition equation and draw a number line diagram for B. Include the starting elevation, change, and final elevation in your diagram.

Complete the table.
Write an addition equation and draw a number line diagram for C and D. Include the starting elevation, change, and final elevation in your diagram.

What does the expression -45+60 tell us about the spelunker? What does the value of the expression tell us?

Find the sum without a calculator.
10 + 21 + 32 + 43 + 54 + (-54) + (-43) + (-32) + (-21) + (-10)