Analyzing Variables and Relationships

The video tutorial addresses a problem involving comparing the sum of bananas and watermelons (B+W) to apples (A). The instructor explains the problem setup, introduces variables, and provides rules for comparison. Through three examples, the video demonstrates how to test different scenarios to determine if B+W is greater than, less than, or equal to A. The conclusion highlights that the information given is insufficient to make a definitive statement, emphasizing the importance of testing multiple cases.

What are the three variables used to represent the fruits?

• X, Y, Z

• A, B, C

• P, Q, R

• A, B, W

Which fruit did the student buy more of compared to bananas?

• Grapes

• Oranges

• Watermelons

• Apples

What is the first step in solving the problem?

• Writing an equation

• Drawing a graph

• Guessing the values

• Reading a book

Tags

CCSS.6.EE.B.6

In the first example, what values were chosen for A, B, and W?

• 3, 2, 1

• 4, 3, 2

• 5, 4, 3

• 6, 5, 4

Tags

CCSS.6.EE.A.2C

What was the result of B + W in the first example?

• 1

• 2

• 3

• 4

Tags

CCSS.8.EE.C.7B

In the second example, what value was chosen for A?

• 10

• 12

• 5

• 7

Tags

CCSS.1.OA.A.1

What was the result of B + W in the second example?

• 9

• 11

• 10

• 8

In the third example, what values were chosen for A, B, and W?

• 20, 15, 10

• 25, 15, 5

• 30, 20, 10

• 35, 25, 15

Tags

CCSS.6.EE.A.2C

What was the result of B + W in the third example?

• 30

• 20

• 15

• 25

What conclusion can be drawn from the examples?

• B + W is always greater than A

• B + W is always less than A

• B + W is always equal to A

• There is not enough information to determine a consistent relationship