Unit Rate and Ratio Reasoning
A recipe uses 3 cups of flour to make 18 cookies.
How many cookies can be made per cup of flour?
If you have 5 cups of flour, how many cookies can you make?
6 cookies per cup
30 cookies
What is an exponent and what is another way to write them?
Exponents are small number that that tell you how often to multiply the base. You can also right them in expanded form as repeated multiplication.
Tony has 3/4 of a pound of cheese. Each serving uses 1/8 of a pound.
How many servings can she make?
3/4 ÷ 1/8 = 6 servings
A student buys school supplies costing $4.75, $2.60, and $8.95.
What is the total cost?
$16.30
A rectangular garden is 3 1/4 feet long and 2 2/3 feet wide.
What is the area of the garden?
8 2/3 ft2
A car travels 156 miles in 4 hours at a constant speed.
a) What is the unit rate in miles per hour?
b) How far will the car travel in 7 hours?
39 miles per hour
273 miles
A 2/3-mile walking trail is divided into sections that are each 1/6 mile long.
How many sections are there?
2/3 ÷ 1/6 = 4 sections
A rope is 15.6 meters long and is cut into 3 equal pieces.
How long is each piece?
5.2 meters
A triangular sail has a base of 5 2/3 feet and a height of 2 1/5 feet.
What is the area of the sail?
6 7/30 ft2
At a grocery store, 8 cans of soup cost $6.40.
a) What is the cost per can?
b) How much would 15 cans cost?
$0.80 per can
$12.00
Jamal buys 4 packs of pencils with 6 pencils in each pack and 2 boxes of markers with 5 markers in each box.
a) Write a numerical expression to represent the total number of writing tools.
b) Evaluate the expression.
Expression: (4 × 6) + (2 × 5)
Answer: 24 + 10 = 34 tools
A recipe calls for 5/6 cup of sugar. If you use a 1/12-cup scoop, how many scoops will you need?
5/6 ÷ 1/12 = 10 scoops
A runner jogs 2.75 miles each day for 6 days.
How many total miles does the runner jog?
16.5 miles
A rectangular patio is 6.4 meters long and 3.75 meters wide.
What is the area of the patio?
24 ft2
What is a ratio?
When you compare or show the relationship between 2 or more quantities.
A cube has a side length of 3 cm.
a) Write an expression to find its volume.
b) Evaluate the expression.
Expression: 3³
Answer: 27 cubic centimeters
3 1/2 ÷ 1 3/4
2
23.456÷0.064
366.5
A triangular playground has a base of 7.8 meters and a height of 4.5 meters.
What is the area of the playground?
17.55 square meters
What is unit rate?
A video game awards 2³ bonus points on Monday and 5 × 4 bonus points on Tuesday.
a) Write a numerical expression for the total points earned.
b) Evaluate the expression.
Expression: 2³ + (5 × 4)
Answer: 8 + 20 = 28 points
Raina is making punch for a party. Each batch of punch uses 1 2/5 gallons of juice. She has 4 1/2 gallons of juice total.
How many batches of punch can Raina make?
6 3/10 batches
18.432÷0.048
384
A rectangular prism has a length of 8.5 cm, a width of 4.2 cm, and a volume of 178.5 cm³.
What is the height of the prism?
5 cm