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RCN Lesson 26: Changing Elevation

Last updated over 2 years ago
23 questions
Develop Understanding
Today's Learning Goal: (G7, U5, L3)
  • Comprehend the term “opposite” (in spoken and written language) refers to numbers with the same magnitude but different signs.
  • Create and interpret equations and diagrams that represent adding signed numbers in the context of elevation.
  • Generalize (orally) a method for determining the sum of two signed numbers.
Today's Materials:
  • Laptop
  • Laptop charger
  • Pen/Pencil/Paper (optional)
Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.
Reminders:
1. Ready for class
2. No cellphones
3. Volume must be low.
4. Read and follow all directions
5.) Take your bag off and immediately begin the Activator.

Jump Start: That's The Opposite - (5 min)

Please do silently and independently.
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Draw arrows on a number line to represent these situations:​
The temperature was -5 degrees. Then the temperature rose 5 degrees.

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Draw arrows on a number line to represent these situations:​
A climber was 30 feet above sea level. Then she descended 30 feet

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Find the opposite:
Running 150 feet east

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Find the opposite:
Jumping down 10 steps

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Find the opposite:
Pouring 8 gallons into a fish tank.

Launch: Mini lesson (10 min)

I'll Try (Question 6 and 7)

We'll Try (Question 8)

You Try! (Question 9 and 10)

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What is the final elevation if:
A climber starts at 20 m and changes 16?

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A butterfly starts at 20 m and changes -16 m?

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A diver starts at 5 m and changes -16 m?

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A whale starts at -9 m and changes 11?m?

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A fish starts at -9 meters and changes -11 meters?

Activity 1: Cliffs and Caves - (15 min)

Applet: https://access.openupresources.org/curricula/our6-8math/en/supporting-material/7553/index.html

Work in your group (optional)

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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.
Complete the table:

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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 2nd table:

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1

Complete the final table:

Activity 2: Adding Rational Numbers - (10 min)

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Lesson Synthesis: (10 min)

What did we Learn today?

  • To add two numbers with the same sign, we add their magnitudes (because the arrows point in the same direction) and keep the same sign for the sum.
  • To add two numbers with different signs, we subtract their magnitudes (because the arrows point in the opposite direction) and use the sign of the number with the larger magnitude for the sum.
  • When we add a number and its opposite, the sum is zero. These are called additive inverses.
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What is the opposite of 5? of -8? of 1/3? of -0.6?

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What is the sum of a number and its opposite?

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Explain how to add two numbers with the same sign. With different signs

Cool Down: Add Em' Up (5 min)

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4

Find each sum:

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4

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4

Closure Questions:

  • What is an additive inverse?
  • Inverse of addition is?
  • Inverse of subtraction is?
  • The opposite of a positive number is?
  • The opposite of a negative number is?