Proportional Relationships
Proportional Relationships are growing at a constant rate. What is this constant rate called and how can you find it? Hint- it's an amount per one unit.
Unit Rate = y/x
Create a model for the expression. Make sure to include a key.
3m=9
3m=9
Find the product of 2 1/4 and 1/3.
3/4
What is the definition of a regular polygon?
Congruent sides and congruent angles.
Show the inequality on a number line.
2 < x
2 < x
Ava walked 36 dogs and earned $72. The relationship between the number of dogs walking and the amount of money earned is proportional. What is the unit rate that represents this relationship?
$2 per 1 dog.
Choose the sign to make the equation true.
-6 __ -8
-6 > -8
Create a number line to show 1 1/2 divided by 1/4.
6
Find the perimeter of a square with a side length of 6 meters.
24 meters
Create an inequality and number line for the following situation.
Mina has less than 7 dollars in her bank account.
d < 7
Nicole plotted y, the amount of minutes spent on the phone with x, the cost (in cents) of the phone call. Her plotted points were (5, 15), (8, 24), (12, 36), (24, 72). Does a proportional relationship exist between the time on the phone and the cost of the phone call?
Yes, it is increasing at a consistent rate of 3 cents for every one minute on the phone.
Model the expression using integer chips.
(-6) + 4
(-6) + 4 = -2
1/3 ÷ 2/7
1 1/6
Find the area of the rectangle. The base is 3ft, and the height is 7ft.
21ft
Create an inequality and number line for the following situation:
Luna bought at least 4 watermelons for the summer party.
w ≥ 4
Jackson and Carlos were running laps around the track. When Jackson ran 9 laps, Carlos ran 3. When Jackson ran 18 laps, Carlos ran 6. When Jackson ran 27 laps, Carlos ran 9. Does a proportional relationship exist between them? Explain your reasoning.
Yes, it is increasing at a constant rate.
Use integer chips to model the following expression.
(-4) – 12
(-4)-12=-16
Describe whether the product of 3 and 2/3 will be greater than or less than 3. Explain how you know
Less than 3 because the dividend is less than the divisor.
Find the area of a triangle. The base is 7in and the height is 8in.
28in
List three values for y that would make the inequality true. 3 < y. Explain how you know.
Mr. Sweet's bakery sells a box of 30 mini cupcakes for $4.80 or a box of 84 mini cupcakes for $13.44. Mr. Jim's Bakery sells a box of 24 mini cupcakes for $4.08 or a box of 96 mini cupcakes for $16.32.
What bakery has the better deal?
Mr. Sweet's bakery sells each cupcake for $0.16 and Mr. Jim's bakery sells each cupcake for $0.17.
Mr. Sweet's bakery is the better deal.
Plot the value of |−48| / -4 on a number line.
-12
Draw a model to represent 3 1/4 ÷ 2/3
2 ÷ 1/6 = 12
Find the area and perimeter of a parallelogram. The base is 5 meters, the side length is 7 meters, and the height is 8 meters.
The perimeter is 24 meters. The area is 40 meters.
Use a number line to justify whether -2 makes 𝑥 ≥ −5 true.
-2 ≥ -5 is true