7.2.9

1

1. For each situation, explain whether you think the relationship is proportional or not.

a) The weight of a stack of standard 8.5 x 11 copier paper vs. number of sheets of paper.

1

1. For each situation, explain whether you think the relationship is proportional or not.

b) The weight of a stack of different-sized books vs. the number of books in the stack.

1

2. Every package of a certain toy also includes 2 batteries.

a) Are the number of toys and the number of batteries in a proportional relationship?

1

2a. If you answered YES above, what are the two constants of proportionality?

Hint: You answers should be reciprocals.

1

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

b=

1

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

t=

3

3. Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2.
a) Find their ages in different years by filling in the table.

1

3b. Is there a proportional relationship between Lin's age and her brother's age?

1

4. A student argues that
does not represent a proportional relationship between x and y because we need to multiply one variable by the same constant to get the other one and not divide it by a constant.

Do you agree or disagee with this student?

If you disagree, type your reasoning in the space provided below.

1

5. Quadrilateral A has side lengths 3, 4, 5, and6. Quadrilateral B is a scaled copy of Quadrilateral A with a scale factor of 2. Select ALL of the following that are side lengths of Quadrilateral B.

1. For each situation, explain whether you think the relationship is proportional or not.

a) The weight of a stack of standard 8.5 x 11 copier paper vs. number of sheets of paper.

1. For each situation, explain whether you think the relationship is proportional or not.

b) The weight of a stack of different-sized books vs. the number of books in the stack.

2. Every package of a certain toy also includes 2 batteries.

a) Are the number of toys and the number of batteries in a proportional relationship?

2a. If you answered YES above, what are the two constants of proportionality?

Hint: You answers should be reciprocals.

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

b=

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

t=

3. Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2.
a) Find their ages in different years by filling in the table.

3b. Is there a proportional relationship between Lin's age and her brother's age?

5. Quadrilateral A has side lengths 3, 4, 5, and6. Quadrilateral B is a scaled copy of Quadrilateral A with a scale factor of 2. Select ALL of the following that are side lengths of Quadrilateral B.

EXIT TICKET
A steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?

If the steel beam is 40 meters long and weighs 200 pounds.
Which equation is correct to show the relationship between length (x) and weight (y).

y=

If the steel beam is 40 meters long and weighs 200 pounds.
Which equation is correct to show the relationship between length (x) and weight (y).

x=

7.2.9

1. For each situation, explain whether you think the relationship is proportional or not. a) The weight of a stack of standard 8.5 x 11 copier paper vs. number of sheets of paper.

1. For each situation, explain whether you think the relationship is proportional or not. b) The weight of a stack of different-sized books vs. the number of books in the stack.

2. Every package of a certain toy also includes 2 batteries. a) Are the number of toys and the number of batteries in a proportional relationship?

2a. If you answered YES above, what are the two constants of proportionality? Hint: You answers should be reciprocals.

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables. b=

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables. t=

3. Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2. a) Find their ages in different years by filling in the table.

3b. Is there a proportional relationship between Lin's age and her brother's age?

5. Quadrilateral A has side lengths 3, 4, 5, and6. Quadrilateral B is a scaled copy of Quadrilateral A with a scale factor of 2. Select ALL of the following that are side lengths of Quadrilateral B.

EXIT TICKETA steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?

If the steel beam is 40 meters long and weighs 200 pounds. Which equation is correct to show the relationship between length (x) and weight (y). y=

If the steel beam is 40 meters long and weighs 200 pounds. Which equation is correct to show the relationship between length (x) and weight (y). x=

1. For each situation, explain whether you think the relationship is proportional or not.

a) The weight of a stack of standard 8.5 x 11 copier paper vs. number of sheets of paper.

1. For each situation, explain whether you think the relationship is proportional or not.

b) The weight of a stack of different-sized books vs. the number of books in the stack.

2. Every package of a certain toy also includes 2 batteries.

a) Are the number of toys and the number of batteries in a proportional relationship?

2a. If you answered YES above, what are the two constants of proportionality?

Hint: You answers should be reciprocals.

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

b=

2b. Use t for the number of toys and b for the number of batteries to write two equations relating the two variables.

t=

3. Lin and her brother were born on the same date in different years. Lin was 5 years old when her brother was 2.
a) Find their ages in different years by filling in the table.

EXIT TICKET
A steel beam can be cut to different lengths for a project. Assuming the weight of a steel beam is proportional to its length, what information would you need to know to write an equation that represents this relationship?

If the steel beam is 40 meters long and weighs 200 pounds.
Which equation is correct to show the relationship between length (x) and weight (y).

y=

If the steel beam is 40 meters long and weighs 200 pounds.
Which equation is correct to show the relationship between length (x) and weight (y).

x=