Analyzing Square Relationships in Diagrams

The video tutorial explores linear relationships through a pattern-based activity involving diagrams with red, blue, and yellow squares. Each color follows a distinct pattern: red squares increase linearly, blue squares increase proportionally, and yellow squares increase quadratically. The tutorial guides students in predicting the number of squares in larger diagrams and visualizing the relationships. It concludes with a discussion on linear and non-linear relationships, emphasizing the mathematical concepts of proportionality and quadratic growth.

What is the main task in the 'Growing Diagrams' activity?

• To draw new diagrams

• To count the number of diagrams

• To determine the pattern of growth in the diagrams

• To identify the color of the squares

How do the red squares relate to the diagram number?

• They are double the diagram number

• They are equal to the diagram number

• They are half the diagram number

• They are triple the diagram number

If the diagram number is 4, how many red squares are there?

• 12

• 8

• 16

• 4

What is the relationship between the blue squares and the diagram number?

• They are quadruple the diagram number

• They are triple the diagram number

• They are double the diagram number

• They are equal to the diagram number

For the 5th diagram, how many blue squares would you expect?

• 20

• 5

• 10

• 15

How is the number of yellow squares determined?

• By squaring the diagram number

• By tripling the diagram number

• By adding five to the diagram number

• By doubling the diagram number

What is the number of yellow squares in the 3rd diagram?

• 12

• 3

• 9

• 6

What is the formula for calculating the total number of squares in a diagram?

• Sum of red, blue, and yellow squares

• Difference between yellow and blue squares

• Product of red and blue squares

• Sum of red and blue squares

Which type of relationship do the red and blue squares have?

• Non-linear

• Proportional

• Quadratic

• Exponential

Why is the relationship of yellow squares not considered linear?

• Because it increases by the square of the diagram number

• Because it remains constant

• Because it decreases with the diagram number

• Because it is proportional