Student Teacher: Jillian Gaglione

Topic or Concept: Ratios

Grade Level: Middle School

Curriculum Standard: (4.12) “All students will develop an understanding of statistics and probability and will use them to describe sets of data, model situations, and support appropriate inferences and arguments.”  This objective will be met because students will be analyzing certain statistics (ratios) and seeing how these ratios apply to everyday life.  The word problems in which these ratios exist relate to the life of a middle school student.  This enables the students to use data to support the arguments made and apply them to everyday life.
 

Yesterday Johnny bought 28 candies with 12 quarters.  If Johnny goes to the same store today with fifteen quarters, how many candies can he buy?

Mastery Statements: Which of these statements is true?

  1. Johnny has more money to buy candy when he goes back to the store.

Ø      Why do you think so?

 

 

  1. Johnny can buy more than 28 candies.

Ø      Why do you think so?

 

 

  1. Johnny will have more candies the second time than he did the first time.

Ø      Why do you think so?

 

 

Understanding Statements:  Which of these equations correctly shows the relationship between the amount of candies bought and the amount of quarters used?

 

  1. 12 quarters divided by 15 quarters = 28 candies divided by x candies.

Ø      Why do you thinks so?

 

 

  1. 12 quarters divided by 28 candies = 15 quarters divided by x candies.

Ø      Why do you think so?

 

 

  1. 12 quarters divided by x candies = 15 quarters divided by 28 candies. 

Ø      Why do you think so?

 

 

Synthesis Statements: Which of these problems are similar to the problem above?  Which are different?  Explain why and solve all of the problems.

 

1.      There are ten members on the team, two of whom are girls.  What is the ratio of girls to the team?  To the boys?

 

 

 

  1. There are sixteen customers eating at a restaurant.  Twelve of these customers ordered juice.  What is the ratio of juice drinkers to non-juice drinkers?

 

 

  1. The ratio of students playing basketball to those playing volleyball is 2:3.  The ratio of those playing tennis to those playing basketball is 1:3, and the ratio of those playing tennis to those playing volleyball is 2:9.  If there are 34 students playing, how many are in each sport?