More Unit Rates!

More Rates and Unit Rates!

Monday/Tuesday Learning Target:

I can use a rate to find unit rates and other rates.

Wednesday/Thursday Learning Target:

I can practice solving rate, and unit rate word problems to reach mastery on an assessment.

Using rates to solve problems!

• If it costs $20.00 to purchase 5 bracelets, how much would it cost to purchase 3 bracelets?

• Find the unit rate for $ per bracelet using division

• $4.00 - This is the cost for 1 bracelet, but we want to purchase 3!

• 3 x $4.00 = $12.00

Using rates to solve problems!

• If it costs $5.00 to purchase 4 pairs of socks, how much would it cost to purchase 7 pairs of socks? 

• 1. Find the unit rate for $ per pair of socks

• $1.25 - This is the cost for 1 pair of socks, but we want to purchase 7 pairs.

• 7 x $1.25 =$8.75

Multiple Choice

A machine can pack 70 boxes of spaghetti in 5 minutes. At this rate, how many boxes can they pack in 8 minutes.

• 35 boxes
• 14 boxes
• 112 boxes
• 560 boxes

Multiple Choice

A car travels 160 miles in 4 hours.  At this rate, how far will the car travel in 7 hours?

• 280 miles
• 40 miles
• 280 miles per hour
• 240 miles

Finding Unit Rates with Fractions!

1. Watch for units
2. Remember per means division
3. When entering fractions in the calculator use parentheses 
45 / (7/3)

Whole Class Example: Fractional Unit Rate!

• Ashley needs a 3 1/2 pounds of icing to make 1/4 of a wedding cake. How many pounds are needed per cake?

• Pounds per cake

• 3 1/2 divided by 1/4 

Multiple Choice

Julio ran  $1\frac{1}{2}$  miles in 15 minutes. What is his unit rate in miles per minute?

• 10 miles per minute

•  $\frac{1}{10}$  miles per minute

• 12.5 miles per minute

•  $\frac{1}{25}$  miles per minute

Multiple Choice

Ben drinks tea at a relatively quick rate.  He drinks 1/2 liter of tea every 2/3 of an hour.  How much tea does Ben drink per hour?

• 1 and 1/3 of an hour per liter
• 3/4 of a liter per hour
• 1 and 1/3 liter per hour
• 3/4 of an hour per liter

STOP HERE FOR TODAY

Students need to:

1. Complete IXL D.4 - rounding decimals and J.6 - unit rates with fractions
2. Watch the edPuzzle Video on Unit Rates with Fractions
3. Take the quiz on Friday!

Question #1, #3, #4: What is a unit rate?

• Unit rate is used to compare quantities in which the second quantity is one

•  miles per hour

• earnings per hour

• cost per gallon

Multiple Choice

Which of these describes the unit rate?

• a unit of measure

• a fraction with a numerator of one

• a fraction with a denominator of one

• a proportion

Multiple Choice

Four pounds of bananas cost $6.  What is the cost per pound of bananas?

• $24 per pound
• $1.50 per pound
• $1 per pound
• $6 per pound

Multiple Choice

Which statement describes a unit rate?

• Sara ate 1 cookie

• Sara is driving 16 miles

• Sara is driving 30 miles per 1 hour

• Sara ate 3 crackers and 1 apple

Multiple Choice

Harry mowed eight lawns and earned $96. How much did he earn for each lawn?

• $96
• $12
• $768
• $8

#2: Equivalent rates!

• Equivalent rates are like equivalent fractions!

• We can increase fractions using multiplication

• We can decrease or reduce or simplify fractions with division.

• EXAMPLE: To make lemonade Ann used 3 lemons and 1 cup of sugar. How much sugar would she need for 9 lemons?

• Write fractions 3/1 and 9/?

• Type the answer in the chat!

Multiple Choice

To make pizza Lisa uses 5 pepperonis for 2 slices of pizza. How many pepperonis are needed for 4 slices of pizza?

• 5 pepperonis

• 2.5 pepperonis

• 15 pepperonis

• 10 pepperonis

Multiple Choice

The ratio of blue cars to red cars in the parking lot was 3 to 4. How many blue cars were at the parking lot if there were 12 red cars?

• 6 blue cars

• 9 blue cars

• 12 blue cards

• 15 blue cards

#5 Finding Unit Rates with Fractions!

1. Watch for units
2. Remember per means division
3. When entering fractions in the calculator use parentheses 
45 / (7/3)

Multiple Choice

Sasha can mow 3/8 of an acre of grass in 3/4 an hour. How many acres of grass does Sasha mow per hour?

• 2  ac./hr.
• 1/2  ac./hr.
• 9/24  ac./hr.

Multiple Choice

If a dog can eat 1/3 of a bag of food in 1/2 week, how many bags of food can the dog eat in 1 week?

• 1/6
• 2/3
• 3/2
• 5/6

#6 and #7: Which store has the most expensive price for apples?

• Wal-Mart - $8.00 for 10 apples

• Target - $9.00 for 10 apples

• Kroger - $7.00 for 5 apples

• Save A Lot - $10.00 for 10 apples

• HINT: Find the unit price for each store and compare decimals

Multiple Choice

AT&T charges $76.00 for 500 minutes or Sprint charges $54.00 for 450 minutes. Which is a better deal

• Sprint
• AT&T

Multiple Choice

Babysitting for 8 hours and making $72.00 or babysitting for 6 hours and making $57.00. Which is the better deal?

• 8 hours
• 6 hours

#8: Using rates to solve problems!

• If it costs $20.00 to purchase 5 bracelets, how much would it cost to purchase 3 bracelets?

• Find the unit rate for $ per bracelet using division

• $4.00 - This is the cost for 1 bracelet, but we want to purchase 3!

• 3 x $4.00 = $12.00

Multiple Choice

A car travels 160 miles in 4 hours.  At this rate, how far will the car travel in 7 hours?

• 280 miles
• 40 miles
• 280 miles per hour
• 240 miles

Multiple Choice

150 grams of fertilizer is required for a land area of 6 square acres.  At this rate, how many grams of fertilizer is needed for 13 square acres?

• 25 grams
• 300 grams
• 325 grams
• 310 grams

Mastery Connect!

• Please see google classroom for instructions for your test!

• 
  

• 
  

•