Unit Rates

Learning Intention Understand the concept of a unit rate a/b associated with a ratio a:b.

Success Criteria Students will be able to write a unit rate. Students will be able to explain the relationship between ratios, rates, and unit rates.

How do you write a division problems as a fraction? What do you know? 1. How do you write a division problems as a fraction?

Ratios, rates, and unit rates are all comparisons Ratios, rates, and unit rates are all comparisons. They compare one quantity to another.

A ratio compares two different quantities.

Look at the tape diagram below Look at the tape diagram below. What is the ratio of Nuts to Dried Fruit?

How much more Nuts are there then Dried Fruit?

A rate is an equivalent ratio that compares the first quantity in a ratio to only one of the second quantity.

Think 4:2 is the same as __:1. What would be the first quanitity?

Unit Rate is always compared to 1 using division. 3:1 3/1 3 to 1

Marcos earned $85 for 10 hours of work. Write the ratio.

Marcos earned $85 for 10 hours of work. How could we find the unit rate. The amount of money he earned per hour.

There are 3 bags of popcorn to divide equally among 2 students There are 3 bags of popcorn to divide equally among 2 students. How much popcorn will each student get? How would you write this to be able to solve?

There are 3 bags of popcorn to divide equally among 2 students There are 3 bags of popcorn to divide equally among 2 students. How much popcorn will each student get? Divide 3 by 2 to find how much popcorn each student will get.

Nine yards of ribbon are cut into 8 equal pieces Nine yards of ribbon are cut into 8 equal pieces. What is the length of each piece of ribbon? Write a division expression to represent the problem. Then solve.

How could you model 5 students sharing 4 bags of popcorn equally?

How could you model 5 students sharing 4 bags of popcorn equally How could you model 5 students sharing 4 bags of popcorn equally? How much will each student get?

Emilio bakes 2 pies. He shared them equally among 3 friends Emilio bakes 2 pies. He shared them equally among 3 friends. How much pie does each person get? Express your answer as a fraction.

What is the difference between a ratio and a unit rate?

Find Unit Rates

Learning Intention Solve Unit Rate problems including those involving unit pricing and constant speed.

Success Criteria Students will be able to solve unit rate problems involving unit pricing. Students will be able to solve unit rate problems using a double number line.

What is the difference between a ratio and a unit rate? What do you know? 1. What is the difference between a ratio and a unit rate?

The double number line below shows the relationship between the numbers of hours and weeks Linda works. Linda worked 320 hours in 8 weeks.

Write each one as a ratio.

Which one is the only unit rate?

The double number line shows the relationship between dollars earned and cars washed at a school fundraiser. Students earned 48 dollars washing 8 cars. The ratio of dollars earned to cars washed is 48:8.

What pattern do you see in the dollars earned?

Complete the top number line.

What pattern do you see in the number of cars washed?

Complete the bottom number line.

The unit rate comparing dollars earned to cars washed is 6 The unit rate comparing dollars earned to cars washed is 6. If the fundraiser earned $318, how many cars were washed?

You buy 3 tickets for $48 total for the jazz concert Friday night You buy 3 tickets for $48 total for the jazz concert Friday night. Your friend buys 2 tickets for $36 total for the jazz concert on Saturday night. Your brother collected $96 from his friends to buy 6 tickets. Which night can they go to the concert? Did they buy the less expensive ticket?

You buy 3 tickets for $48 total for the jazz concert Friday night You buy 3 tickets for $48 total for the jazz concert Friday night. Your friend buys 2 tickets for $36 total for the jazz concert on Saturday night. Your brother collected $96 from his friends to buy 6 tickets. Complete the two double number lines based on the information above. One for Friday and one for Saturday to be able to answer the questions.

You buy 3 tickets for $48 total for the jazz concert Friday night You buy 3 tickets for $48 total for the jazz concert Friday night. Your friend buys 2 tickets for $36 total for the jazz concert on Saturday night. Your brother collected $96 from his friends to buy 6 tickets. Which night can they go to the concert? Did they buy the less expensive ticket?

Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins. Grandma’s muffin recipe uses 12 ounces of berries for 3 dozen muffins. Which recipe has more berries per dozen muffins? How many ounces of berries would you need to make 60 muffins of this recipe? (1 dozen = 12 muffins)

Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins. Grandma’s muffin recipe uses 12 ounces of berries for 3 dozen muffins. Use two double number lines to help answer the question. One for moms and one for Grandma’s.

Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins. Grandma’s muffin recipe uses 12 ounces of berries for 3 dozen muffins. Which recipe has more berries per dozen muffins? How many ounces of berries would you need to make 60 muffins of this recipe? (1 dozen = 12 muffins)

How can you use a double number line to help find a unit rate and solve unit rate problems?

Quotations are commonly printed as a means of inspiration and to invoke philosophical thoughts from the reader.

BIG CONCEPT Bring the attention of your audience over a key concept using icons or illustrations

You can also split your content White Is the color of milk and fresh snow, the color produced by the combination of all the colors of the visible spectrum. Black Is the color of coal, ebony, and of outer space. It is the darkest color, the result of the absence of or complete absorption of light.

In two or three columns Yellow Is the color of gold, butter and ripe lemons. In the spectrum of visible light, yellow is found between green and orange. Blue Is the colour of the clear sky and the deep sea. It is located between violet and green on the optical spectrum. Red Is the color of blood, and because of this it has historically been associated with sacrifice, danger and courage.

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