THE PARTY PROBLEM AND OTHER PROPORTIONAL PROBLEMS

Proportional Reasoning

CCSS.6.RP.3a: Using a table to write equivalent and simplest form ratios.

At the party, there were 4 boys for every 3 girls.

Make a part to part ratio and a part to whole ratio to describe the given information.

Write three equivalent ratios for your part to part ratio.

Write three equivalent ratios for your part to whole ratio.

At the party, there were 4 boys for every 3 girls. If they continue to arrive at the party at the same rate, how many girls would there be when there are 60 boys?

At the party, there were 4 boys for every 3 girls. If there were 133 people at the social, how many of them were girls? How many were boys?

CCSS.6.RP.3a: Using a table to write equivalent and simplest form ratios.

THE CLOWN PROBLEM AND OTHER PROPORTIONAL PROBLEMS

THE CLOWN PROBLEM

Clancy the Clown walked at a rate of 10 meters in 4 seconds. If Clancy continues at the same rate, how far will he walk in 48 seconds?

THE CLOWN PROBLEM

If Clancy continues at the same rate (10 meters for every 4 seconds), how far will Clancy walk in 56 seconds?

THE CLOWN PROBLEM

If Clancy continues at the same rate (10 meters for every 4 seconds), how far will Clancy walk in 1 second?

COOKIE PROBLEMUnderstanding Proportionality

CCSS.6.RP.3a: Using a table to write equivalent and simplest form ratios.

WE ARE MAKING COOKIES!

A cookie recipe calls for 5 cups of flour and the recipe makes 24 cookies. How many cups of flour would be needed to make 72 cookies? How many cups of flour would be needed to make 60 cookies?

WE ARE MAKING COOKIES!

A cookie recipe calls for 5 cups of flour and the recipe makes 24 cookies. How many cookies can you make if you only have 2 ½ cups of flour?

WE ARE MAKING COOKIES!

A cookie recipe calls for 12 cups of flour and the recipe makes 72 cookies. How many cups of flour would you need to make 18 cookies?

VOCABULARY

A ____________________ is a ratio comparing two quantities with different kinds of units, like 10 meters in 4 sec. or

A ____________________ is a rate that is simplified so that it has a denominator of 1, like 2.5 meters per second or .

You can use a unit rate to compare prices. We call it a unit price.

RATEShttps://www.youtube.com/watch?v=kVxRByQOwf4&feature=youtube_gdata_player

THE CAT FOOD PROBLEM6.R.P.3 Developing Proportional Thinking

CAT FOOD PROBLEM

Bob’s Best Buys and Maria’s Pet Emporium are having a sale on cat food. Bob’s ad reads, “This week only: 12 cans of Kitten Gourmet for $15.00.” Maria’s ad reads: “Super Sale: 20 cans of Kitten Gourmet for $23.00.” Both stores are offering the same brand of cat food but are pricing it differently! Advertising is often confusing!!! Each store wants you to think that it has the best sale price. Which store has the better price? How do you know?

CEREAL PROBLEM

A 12 ounce box of cereal costs $3. An 18 ounce box of cereal costs $4. Which is the better buy? Prove your answer by finding the unit price for each box.