Scale Drawings
Introducing Proportional Relationships
Measuring Circles
Proportional Relationships and CoP
Rational Number Arithmetic
100

True or false: A scale drawing is one that is stretched out

False, it can be bigger or smaller but not stretched

100

True or false: A proportional relationship is when one quantity or variable can always be multiplied by the same thing to get the other quantity or variable.

True

100

True or false: The radius of the circle is the length of a line that goes all the way across the circle through the center

False, that is the diameter

100

Does the graph show a proportional relationship? 

yes

100

The number 18/23 is not a rational number. True or False and why? 

False. It is a rational number because all fractions are rational numbers. 

200

Triangle 2 is scale drawing of Triangle 1. What is the length of side x?

40cm

200

Every hour that passes of the day, Kayden blinks exactly 1230 times. Is this a proportional relationship?

Yes

200

If the diameter of a circle is 18 feet, what would the length of its radius be?

9 feet

200

Garden Fresh deli sells 2 turkey sandwiches for $8.50. The total cost in dollars, y, to buy x turkey sandwiches can be modeled by what equation?

y=4.25x

200

10 - (-5)

15

300

A rectangle is 5 inches by 3 inches. Using a scale factor of 4, what would the dimensions of the new scaled rectangle be?

20 inches by 12 inches

300

Mr. Craig goes for a run and it takes 8 minutes to run a mile. The next mile takes him 10 minutes. Is this a proportional relationship?

No, because each mile does not take the same amount of time.

300

What are the two approximations of Pi that we use?

3.14 and 22/7 

300

The table below represents a proportional relationship. What is the constant of proportionality as an improper fraction? 

3/2

300

Solve the following equation

-17 + d = -25

-8

400

I make a scale drawing of our classroom using a scale of 1 to 5 (meaning the drawing is 5 times smaller than the actually size of the room)

The dimensions of the room are 20 feet by 25 feet. What would the room dimensions be in my drawing?

4 feet by 5 feet

400

Let's pretend Kyle has a job. He makes $90 from 6 hours of work. What is the constant of proportionality? (or in other words, how much does he make every hour?)

$15

400

If the length of the diameter of a circle is 10 inches, what is roughly the length of the circumference (which is the length of the outside of the circle)?

about 31.4 inches (because 10 x 3.14 = 31.4)

400

What is the equation that represents the proportional relationship graphed below? 

y=4x

400

The Blake family budgets 1/3 of their income for rent and 1/4 of their income for food. How much of their budget is left? 

5/12 of their budget is left. 

500

The area of a school desk is about 6 square feet. If I design a new giant desk whose lengths are three times longer on both sides, what would the area of this new desk be?

54 square feet

500

In the equation y = 12x, x represents the height of a student in feet and y represents their height in inches.

If Brad is 4.75 feet tall, what is y equal to?

57 inches tall

500

What is the area of a circle if its radius is 4 centimeters?

about 50.24 cm2 (because 3.14 x 4 x 4 = 50.24)

500

A printer can print 2 pages in 6 seconds. If the proportional relationship between the number of pages printed and the time, in seconds, is plotted on a graph, which point will the line pass? 

(1,1) (1,3) (3,1) (3,3)

(1,3)

500

Three students ran for president of the student council. Matt received 1/5 of the votes. Elizabeth received 4/9 of the votes. Rachel received the rest. Which student won the election and how many votes did they receive? 

Elizabeth won and received 20 out of 45 votes. 

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