MidSchoolMath 1

The ability to interpret sums of rational numbers and understand where they are located on a number line will be a skill that students will use as they continue their education in higher level math and sciences. In Space Selfie, Commander K-8 and Lucy are on the ARCCOS ship traveling to pick up supplies. Commander K-8 explains to Lucy the importance of the Trackometer and asks her to watch it while she takes a break. Lucy takes a selfie with her phone and the flash causes the ship to shut down. They must use the photo on Lucy’s phone to determine how far away they are from base in order to reboot the ship. The data provided is Lucy’s selfie in front of the console with the Trackometer behind her.

LESSON: SPACE SELFIEHow far away are they from home base?

Space Selfie

Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real world contexts.

The Math SimulatorTM

ImmersionPlay Space Selfie Immersion video, whole-class. Restate the question: How far away are they from home base?Facilitate classroom discussion; ask students: "What are your ideas?"

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2 Data & ComputationPrint the Data Artifact and distribute to students. Allow students work time. Ask students: "Does your answer make sense?"Consider using a sharing protocol leading to mathematical insights and/or highlighting misconceptions. Allow students to revise their work.

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3 ResolutionPlay Space Selfie Resolution video, whole-class. Prepare and give brief lecture (Teacher Instruction).

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Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

+ Simulation TrainerAssign the Simulation Trainer.Use protocols that encourage students to help each other.Use Progress Monitoring to access real-time data for the classroom.Provide individual help for students who are not making progress.

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(Use student headphones.)

7.NS.A.1bThe Number System

MidSchoolMath Space Selfie

Clicker QuizLaunch the Clicker Quiz, whole-class.

7.NS.A.1bThe Number System

2

Gladys: Use both vertical and horizontal number lines frequently to illustrate addition of integers, attending to both distance and direction. Use them even for problems with context.

Kevin: Help students realize that just a sketch of a number line may be useful, and that zero does not always have to be in the middle or even visible.

Megan: Watch for common errors when students use number lines for addition of rational numbers: miscounting units, misaligning arrows, and starting subsequent arrows at zero.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #4Standard Math Procedures

Instruction at a Glance

1

3

Draw a diagram, one step at a time.

Interpret the sum.

-3 + 1 + (-2 ) = -3

D: 3 feet below the surface

2 Write the equation to represent the diagram. Indicate distance and direction.

12

14

34

34

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SPACE SELFIEHow far away are they from home base?

Commander K-8 and Lucy are once again on the ARCCOS ship traveling through space to pick up supplies. Lucy has the urge to take a selfi e, even though the fl ash has previously resulted in shutdown of the ship. Apparently, Lucy has not learned her lesson and decides to take another selfi e while the Commander isn’t looking. This stops the ship and they must determine their distance from home base before rebooting the ship. Luckily, Lucy got the Trackometer in her selfi e shot.

Use Lucy’s selfi e to determine their distance from home base.

7.NS.A.1b

Understand p + q as the number located a distance |q| from p, in the positive or negative direction, depending on whether q is positive or negative. Show that a number and its opposite have a sum of 0 (are additive inverses). Interpret sums of rational numbers by describing real-world contexts.

About this standard

Date PeriodName

MidSchoolMath Space Selfi e 1 of 2

Lucy and Commander K-8 are _________________ parsecs from home base.

APPLYING THE STANDARD

MidSchoolMath 2 of 2

Date PeriodName

How might this standard appear on a test?

Space Selfi e

The temperature at 6 a.m. was 38°F. Throughout the day until 10 p.m., the temperature rose 26°F and then fell 23°F. What was the temperature at 10 p.m.? Write an equation to represent your solution.

1)

A hiker starts hiking on a trail that has a starting point 28 feet below sea level. During the hike, his elevation increased by 212 feet, then decreased by 105 feet, and increased again 94 feet. What was his fi nal elevation? Write an equation to represent your solution.

2)

Complete the table below:3)

Complete the table below:4) Drew drives 5 miles north, 12 miles south, and then 3 miles north.

5)

Write an equation to represent his travels in relation to his starting point.

a)

How far is he from his starting point, and in which direction?

b)

What is the total distance that he traveled?c)

Explain why the values from parts b) and c) vary.d)

Additive Inverse

Rational Number

-45

12

-2349

4

-1.5

Check out my worked example #3(fi rst row only)

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