MidSchoolMath 1

Using coordinates to find lengths is an important skill in geometry, and it is present in many areas of life, like architecture, design, and engineering. In Fuel Factor, sisters Renee and Ada Akira are Team Akira, participating in the 801st Galactic Speedway Championships. They are set to race against The Arccos, when all of a sudden the announcers state that there will be 9 checkpoints. Renee had thought there would only be 8 checkpoints, so she only partially charged the fuel core, in hopes of making the ship faster. The sisters quickly try to figure out if they have enough fuel to complete the course. That data provided is an image of their fuel gauge showing the amount of fuel in the ship. There is also a map of the racecourse, along with the coordinates of all the checkpoints.

LESSON: FUEL FACTORWill they make it to the finish line?

Fuel Factor

Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.

The Math SimulatorTM

ImmersionPlay Fuel Factor Immersion video, whole-class. Restate the question: Will they make it to the finish line?Facilitate classroom discussion; ask students: "What do we need to know?"

•

••

1

2 Data & ComputationPrint the Data Artifact, cut into halves, 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.

•

•

•

•

Download the Detailed Lesson PlanAvailable on the Teacher Dashboard

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

••

+ 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.

•

•

••

(Use student headphones.)

6.G.A.3Geometry

MidSchoolMath 2Fuel Factor

6.G.A.3Geometry

Clicker QuizLaunch the Clicker Quiz, whole-class.

Gladys: Students will only be finding dis-tances between horizontal or vertical lines (those with the same first coordinate or the same second coordinate).

Kevin: Consider projecting a grid back-ground, available on many interactive whiteboard or tablet apps, for students to see and use.

Megan: As students don't formally know subtraction of negative numbers, they may need to find the distance between two coordinates by determining the distance between both coordinates and the x- or y-axis and then combine the two distances.

KevinSimpson

GladysGraham

MeganLeBleu

Ex. Clicker Quiz #3Standard Math Procedures

Instruction at a Glance

1 Determine length of the figure.

Find the distance between x-coordinates.

Find the distance between y-coordinates.

C: 5 x 3

2

3

Determine the width of the figure.

Select the option with the correct length and width represented.

6.G

Sta

ndar

ds &

Les

sons

6.G

Ass

essm

ents

6.G

Dom

ain

Revi

ew

FUEL FACTORWill they make it to the fi nish line?

The Akira sisters are preparing to race in another speedway challenge, The Interstellar Summit 5000. The course map, along with the checkpoint coordinates are given below. Renee and Ada have charged the Galaxy Cruiser’s fuel core enough so they can travel 33 megaspans.

Will they make it to the fi nish line?

6.G.A.3

Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to fi nd the length of a side joining points with the same fi rst coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.

About this standard

Date PeriodName

MidSchoolMath Fuel Factor 1 of 2

Will they make it to the fi nish line?

APPLYING THE STANDARD

MidSchoolMath 2 of 2

Date PeriodName

How might this standard appear on a test?

Fuel Factor

The following shapes are all parallelograms. In the coordinate plane, draw each fi gure and identify the missing vertex to complete the shape. Then calculate the area of each shape.

Shape A: (-5, 3), (-2, 3), (-2, 5), __________Area: ____________ square units

Shape C: (-1, -1), (-1, -3), (1, -3), __________Area: ____________ square units

Shape B: (-6, -4), (-1, -4), (0, -5), __________Area: ____________ square units

Shape D: (2, 2), (4, 2), (5, 4), __________Area: ____________ square units

Shape E: (3, -2), (4, -2), (4, -5), __________Area: ____________ square units

1)

Consider the parallelogram below. Write whether or not each statement is true or false.2)

Ronan is drawing plans on the coordinate plane for a rectangular sandbox for a mini-horseshoe pit. She knows she wants vertices at (1, 1) (1, 2), and (7, 1).

3)

The length of the shorter side is b – 3.a)

Where should she put the fourth vertex?a)

b = 3b)

What is the length of the horseshoe pit?b)

b < 10c)

What will be its area?c)

The area of the fi gure is 35 square units.d)

c > be)

c = 1f)

Check out my worked example #1(shape d)

6.G

Sta

ndar

ds &

Les

sons

6.G

Ass

essm

ents

6.G

Dom

ain

Revi

ew