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IM: 7.5.9: Multiplying Rational Numbers (Lesson)

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Last updated 11 months ago
17 questions
9.1: Before and After
Where was the girl:
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9.2: Backwards in Time
9.3: Cruising
9.4: Rational Numbers Multiplication Grid
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Question 1
1.

5 seconds after this picture was taken?

Question 2
2.

5 seconds before this picture was taken?

A traffic safety engineer was studying travel patterns along a highway. She set up a camera and recorded the speed and direction of cars and trucks that passed by the camera. Positions to the east of the camera are positive, and to the west are negative.

Here are some positions and times for one car:
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Question 3
3.

In what direction is this car traveling?

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Question 4
4.

What is the car's velocity?

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Question 5
5.

What does it mean when the time is zero?

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A traffic safety engineer was studying travel patterns along a highway. She set up a camera and recorded the speed and direction of cars and trucks that passed by the camera. Positions to the east of the camera are positive, and to the west are negative.

Here are the positions and times for a different car whose velocity is -50 feet per second:
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Question 7
7.

Complete the table with the rest of the positions.

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Question 8
8.

In what direction is this car traveling? Explain how you know.

A traffic safety engineer was studying travel patterns along a highway. She set up a camera and recorded the speed and direction of cars and trucks that passed by the camera. Positions to the east of the camera are positive, and to the west are negative.
1
Question 9
9.

Complete the table for several different cars passing the camera.

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Question 10
10.

If a car is traveling east when it passes the camera, will its position be positive or negative 60 seconds before it passes the camera?

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Around noon, a car was traveling -32 meters per second down a highway. At exactly noon (when time was 0), the position of the car was 0 meters.
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Question 14
14.

Complete the table.

Graph the relationship between the time and the car's position using the applet:

https://curriculum.illustrativemathematics.org/MS/students/2/5/9/index.html

[Scroll to the tool under "9.3: Cruising"]
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Question 15
15.

What was the position of the car at -3 seconds?

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Question 17
17.

Look at the patterns along the rows and columns and continue those patterns to complete the table in the applet. When you have filled in all the boxes you can see, click on the "More Boxes" button.

https://curriculum.illustrativemathematics.org/MS/students/2/5/9/index.html
[Scroll to the tool under "9.4: Rational Numbers Multiplication Grid"]

What does this tell you about multiplication by a negative?

Question 6
6.

What could it mean to have a negative time?

Question 11
11.

If we multiply a positive number and a negative number, is the result positive or negative?

Question 12
12.

If a car is traveling west when it passes the camera, will its position be positive or negative 60 seconds before it passes the camera?

Question 13
13.

If we multiply two negative numbers, is the result positive or negative?

Question 16
16.

What was the position of the car at 6.5 seconds?