OAT Lesson 19: Two Related Quantities (II)

Last updated almost 3 years ago

17 Nsɛmmisa

Develop Understanding

Today's Learning Goal: (G6, U6, L16)

Create tables and graphs to represent the relationship between distance and time for something moving at a constant speed.
Write an equation with variables to represent the relationship between distance and time for something moving at a constant speed.

Today's Materials:

Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (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: Walking to the Library - (5min)

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OAT Lesson 19: Two Related Quantities (II)

Last updated almost 3 years ago

17 Nsɛmmisa

Develop Understanding

Today's Learning Goal: (G6, U6, L16)

Create tables and graphs to represent the relationship between distance and time for something moving at a constant speed.
Write an equation with variables to represent the relationship between distance and time for something moving at a constant speed.

Today's Materials:

Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (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: Walking to the Library - (5min)

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Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 PM and walk
miles to the library. What time do they each arrive?

Launch: Practice Problem - (10 min)

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I do (question

We do (question

You do (question)

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A car is traveling down a road at a constant speed of 50 miles per hour.
Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

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Write an equation that represents the distance traveled by the car, d, for an amount of time, t.

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In your equation, which is the dependent variable, and which is the independent variable?

Activity 1: The Walk-a-thon

(20 min)

Work in your groups.

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Lesson Synthesis - (5 min)

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Mr. Batista leaves from his home at 6:00AM to go to work at DHS. At this time, he realizes that there is no traffic on the road. He then decides to drive his car on cruise control at 55mph on 1-91S. His workplace is about 82.5 miles from his home.
At what time does Mr. Batista arrive to DHS?
What kind of equation is?

Cool Down: Interpret the Point - (5 min)

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During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation:
Graph the equation that includes the point (12,4).

Akwankyerɛ

Klik Graph tab (Graph 1, Graph 2, ne nea ɛkeka ho) so ma graph biara a ɛsɛ sɛ wobɔ.
Klik graph no akyi na fa asɛm bi ka ho. Fa nsɛntitiriw abien ka ho na yɛ graph. Twe asɛm bi anaa kyerɛw x ne y coordinates na sesa ne gyinabea. Klik asɛm bi so na popa.
Sɛ wobɔ wo graph no wie a, wubetumi ahyɛ dashed line box no mu.

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What does the point (12,4) represent in this situation?

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Closure Questions:

What is a constant?
What is the unit (of measurement) for distance? How about Time?
If you want to calculate the distance over a course of time, what would you let be your independent and dependent variables be.

OAT Lesson 19: Two Related Quantities (II)

JUMP START: Walking to the Library - (5min)

OAT Lesson 19: Two Related Quantities (II)

JUMP START: Walking to the Library - (5min)

Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 PM and walk miles to the library. What time do they each arrive?

Launch: Practice Problem - (10 min)

A car is traveling down a road at a constant speed of 50 miles per hour.Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

Write an equation that represents the distance traveled by the car, d, for an amount of time, t.

In your equation, which is the dependent variable, and which is the independent variable?

Activity 1: The Walk-a-thon

(20 min)

Work in your groups.

Lesson Synthesis - (5 min)

Cool Down: Interpret the Point - (5 min)

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation: Graph the equation that includes the point (12,4).

What does the point (12,4) represent in this situation?

Closure Questions:

Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 PM and walk miles to the library. What time do they each arrive?

Launch: Practice Problem - (10 min)

A car is traveling down a road at a constant speed of 50 miles per hour.Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

Write an equation that represents the distance traveled by the car, d, for an amount of time, t.

In your equation, which is the dependent variable, and which is the independent variable?

Activity 1: The Walk-a-thon

(20 min)

Work in your groups.

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different.Complete the table to show how far each participant walked during the walk-a-thon.

How fast was each participant walking in miles per hour?

How long did it take each participant to walk one mile?

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Diego says that d=3t represents his walk, where d is the distance walked in miles and t is the time in hours.Explain why d=3t relates the distance Diego walked to the time it took.Write two equations that relate distance and time: one for Elena and one for Andre.

Use the equations you wrote to predict how far each participant (Diego, Andre, and Elena) would walk, at their same rate, in 8 hours.

For Diego’s equation and the equations you wrote, which is the dependent variable and which is the independent variable?

Lesson Synthesis - (5 min)

Cool Down: Interpret the Point - (5 min)

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation: Graph the equation that includes the point (12,4).

What does the point (12,4) represent in this situation?

What point would represent the time, t it took to walk 7.5 miles?

Closure Questions:

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different.Complete the table to show how far each participant walked during the walk-a-thon.

How fast was each participant walking in miles per hour?

How long did it take each participant to walk one mile?

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Graph the progress of each person in the coordinate plane. Use a different color for each participant.

Diego says that d=3t represents his walk, where d is the distance walked in miles and t is the time in hours.Explain why d=3t relates the distance Diego walked to the time it took.Write two equations that relate distance and time: one for Elena and one for Andre.

Use the equations you wrote to predict how far each participant (Diego, Andre, and Elena) would walk, at their same rate, in 8 hours.

For Diego’s equation and the equations you wrote, which is the dependent variable and which is the independent variable?

What point would represent the time, t it took to walk 7.5 miles?

Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 PM and walk
miles to the library. What time do they each arrive?

A car is traveling down a road at a constant speed of 50 miles per hour.
Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation:
Graph the equation that includes the point (12,4).

Lin and Jada each walk at a steady rate from school to the library. Lin can walk 13 miles in 5 hours, and Jada can walk 25 miles in 10 hours. They each leave school at 3:00 PM and walk
miles to the library. What time do they each arrive?

A car is traveling down a road at a constant speed of 50 miles per hour.
Complete the table with the amounts of time it takes the car to travel certain distances, or the distances traveled for certain amounts of time.

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different.
Complete the table to show how far each participant walked during the walk-a-thon.

Diego says that d=3t represents his walk, where d is the distance walked in miles and t is the time in hours.
Explain why d=3t relates the distance Diego walked to the time it took.
Write two equations that relate distance and time: one for Elena and one for Andre.

During a walk-a-thon, Noah's time in hours, t, and distance in miles, d, are related by the equation:
Graph the equation that includes the point (12,4).

Diego, Elena, and Andre participated in a walk-a-thon to raise money for cancer research. They each walked at a constant rate, but their rates were different.
Complete the table to show how far each participant walked during the walk-a-thon.

Diego says that d=3t represents his walk, where d is the distance walked in miles and t is the time in hours.
Explain why d=3t relates the distance Diego walked to the time it took.
Write two equations that relate distance and time: one for Elena and one for Andre.