Day 2- 3
Day 4-5
Day 6-7
Day 8-9
Day 10+ Vocab
100
A pizza has 8 slices and sells for $12. At this rate, how much would 15 slices cost?
$ 22.50 for 15 slides
100
Recipe 2, Recipe 3 Recipe 1
100
The distance and time traveled for 4 toy cars is shown in the table below.
Which two cars are traveling at the same speed? Show or explain how you determined your answer.
A: 4:10/4= 1:2.5 - 2.5 meters per 1 second
C: 9:22.5/9= 1:2.5 - 2.5 meters per 1 second
100
Determine if y is proportional to x. Explain why it is proportional or non-proportional
Y is proportional to X
100
a variable (often denoted by x ) whose variation does not depend on that of another.
Independent Variable
200
A turtle can swim 20 meters in 4 seconds. At this rate, how many meters can the turtle swim in 10 seconds?
50 Meters
200
At a daycare, there are toddlers who attend part-time and toddlers who attend full-time. The ratio of part-time toddlers to full-time toddlers is 2:7. If there are 36 toddlers at the daycare, how many are there full-time?
Part-time Full time Total
2 7 9
4 14 18
6 21 27
8 28 36
200
The table below relates the number of gallons to the number of quarts.
A. Describe the relationship between gallons and quarts. Is the relationship proportional? Why or why not?
B.What is the constant of proportionality for this relationship?
A. Yes the number of quarts is always the number of gallons times 4
B. 4 times the number of gallons
200
Alana is traveling around on a summer college tour. Each time she stops for gas, she records the number of gallons it takes to fill the tank and the amount of miles driven since the last fill up. This data is shown in the table below.
A. Find the constant of proportionality, and explain what it represents in this situation.
B. Write an equation that relates the miles driven, y, to the number of gallons of gas, x.
A. 24- How many miles you can travel per gallon
B. y=24x
200
whose value depends on that of another.
Dependent Variable
300
Is 4:6 equivalent to 36:54? If yes, then explain how you know. If no, then change one or more of the values to make the ratios equivalent
Yes
4X9= 36
6x9= 54
300
Kwan loves extra chocolatey, chocolate milk. His friends make the following two recipes.
Recipe #1 Recipe #2
1 cup milk 4 cups milk
2 tbsp chocolate syrup 5 tbsp chocolate syrup
A. Which recipe will Kwan like best? (i.e. which recipe is the “most chocolatey”)
Recipe 2
300
Jason sent 35 texts and watched 14 YouTube videos. Natasha sent 62 texts and watched 25 YouTube videos. For each person, write a ratio to represent the number of texts they sent to the number of videos they watched. Are the ratios equivalent? Explain.
Ratios are not equivalent
Jason: 35:14
Natasha: 90:25
300
Syd -Syd's dad is taking them to the Candy Superstore for thems birthday! Syd-Syd made observations about the selling price of candy (weighed in pounds) and recorded what they noticed in the table below.
A. Is the price proportional to the amount of candy? Why or why not
B. Syd- Syd's Dad says “you can spend up to 20 dollars for your birthday”. How much candy can Syd-Syd buy, in pounds?
A. The price is proportional to the amount of candy because there is constant proportionality
B 2.4Lbs
300
relationships between two variables where their ratios are equivalent.
proportional relationship
400
You are making a mixed bag of walnuts and cashews. The ratio of the number of walnuts to the number of cashews you want to use is 5:6. You have 54 cashews to include in the mix. How many walnuts should you add? Justify your answer by showing that the new ratio you created of the number of walnuts to cashews is equivalent to 5:6.
45:54
54/6=9
9X5=45
400
A trail mix is made by mixing peanuts and raisins together in a ratio of 4:5. How many total cups of trail mix will you have if you use 28 cups of peanuts?
Peanuts Raisins Total
4 5 9
28 35 63
400
A family took a road trip down the East coast. On average, they traveled at a constant speed, represented in miles and hours in the table below.
A.Describe the relationship between hours and miles.
B.How fast is the family driving?
C. What is the constant of proportionality? Explain what it means in this situation.
A. Proportional because we can find the constant proportionality
B. 60 Times the number of hours
C. 60 MPH
400
Lidya has been selling pieces of gum at lunch for a while. The table below models the relationship between pieces of gum sold and cost.
A. Write an equation that represents the relationships between number of pieces sold, x, to the cost, y.
y=1/4X
400
quantity that may change within the context of a mathematical problem or experiment.
Variable
500
Tyler has dimes and quarters in a ratio of 2:6. His sister, Jen, has dimes and quarters in a ratio of 12:36. Jen says their ratios of dimes to quarters are the same.
A. Is Jen correct? Explain or show your reasoning B. Does this mean that Tyler and Jen have the same amount of money? Explain your reasoning
A. Yes Jen is correct
2X 6= 12 6X=36
B. No Tyler and Jen DO NOT have the same amount of money
500
Mr. Henriquez is making Sparkling Fruit Punch. The recipe is below:
Sparkling Fruit Punch
Makes one serving
1 cup Sprite
½ cup Hawaiian Punch
¼ cup Pineapple Juice
Ms. Yang wants to make this recipe and has 6 cups of pineapple juice. How much of the other ingredients will she need to make a fruit punch that tastes exactly like the recipe?
24 cups of Sprite
1X24
12 cups of Hawaiian Punch
.5 X 24
500
A runner ran 20 miles in 150 minutes. If she runs at that speed,
A. How long would it take her to run 6 miles?
B. How far could she run in 15 minutes?
C. How fast is she running in miles per hour?
D. What is her pace in minutes per mile?
A. 45 Mins
B. 2 Miles
C. 7.8:60
D. 75 Mins
500
Kayleigh’s aunt is a taxi driver. The table below shows the relationship between miles driven and money earned.
A. Is the relationship between miles and money earned proportional? Explain why or why not.
B. Kayleigh’s aunt wants to predict how much money she will make if she drives 500 miles next week. If it is possible to make a prediction, show your work. If it is not possible to make a prediction, explain why.
A. No because there is no constant proportionality
B. No its not possible
500
Anna and Beulah are making sweet tea for a cookout. Anna made 15 cups of tea and added 2 ½ cups of sugar. Beulah made 9 cups of tea and added 1 ½ cups of sugar. At the cookout they tasted each other’s tea and found that they tasted the same. “That’s weird,” said Anna. “I put more sugar in mine- shouldn’t it be sweeter?”
A.Explain why Anna and Beulah’s teas taste the same.
B. Which of the following expressions, where s is cups of sugar and t is cups of tea, could represent the recipes Anna and Beulah used? Choose all that apply.
A. s=1/6t
B. s= 6t
C. t=1/6s
D. t= 2 1/2s
E. t=6s
A. 15/2.5=6. 9/1.5=6. Because even though they made different amounts of cups, they put in different amounts of sugar too that are actually the same rate for each cup. They both put in 1 cup of sugar for every 6 cups of tea.
B.Both A and E are correct