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Biblioteka

RCN Lesson 26: Changing Elevation

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Posljednje ažuriranje over 3 years ago
23 questions

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?

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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Pitanje 3
3.

Find the opposite:

Running 150 feet east

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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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Pitanje 6
6.

What is the final elevation if:

A climber starts at 20 m and changes 16?

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Pitanje 7
7.

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

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Pitanje 8
8.

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

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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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Pitanje 11
11.

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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Pitanje 12
12.

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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Pitanje 13
13.

Complete the final table:

Activity 2: Adding Rational Numbers - (10 min)

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Pitanje 14
14.

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Pitanje 15
15.

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Pitanje 16
16.

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Pitanje 17
17.

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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Pitanje 18
18.

What is the opposite of 5? of -8? of 1/3? of -0.6?

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Pitanje 19
19.

What is the sum of a number and its opposite?

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Pitanje 20
20.

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

Cool Down: Add Em' Up (5 min)

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Pitanje 21
21.

Find each sum:

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Pitanje 22
22.

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Pitanje 23
23.

Pitanje 1
1.

Draw arrows on a number line to represent these situations:​

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

Pitanje 2
2.

Draw arrows on a number line to represent these situations:​

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

Pitanje 4
4.

Find the opposite:

Jumping down 10 steps

Pitanje 5
5.

Find the opposite:

Pouring 8 gallons into a fish tank.

Pitanje 9
9.

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

Pitanje 10
10.

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