Identify Linear Relationships by Exploring Rectangle Perimeter

The video tutorial explores the concept of perimeter and linear relationships using rectangles. It introduces two methods to calculate the perimeter: adding all sides and using a formula. The tutorial demonstrates how the perimeter changes with additional rectangles, highlighting a constant rate of change, which is a characteristic of linear relationships. Graphs are used to visualize these relationships. The video also addresses common misunderstandings about linear functions and provides examples of non-linear relationships, emphasizing the importance of a constant rate of change in linear functions.

What is the formula for calculating the perimeter of a rectangle?

• Length * Width

• 2 * Length + 2 * Width

• 2 * (Length + Width)

• Length + Width

How does the perimeter change when a rectangle is added?

• It increases by 2

• It remains the same

• It doubles

• It decreases by 2

What does a graph of the number of rectangles versus perimeter show?

• A parabola

• A line

• A curve

• A circle

Which method is NOT used to find the perimeter of multiple rectangles?

• Using a graph

• Using a table of values

• Using a diagram

• Using a compass

What is a common misunderstanding about relationships or functions?

• All are linear

• None are linear

• All are non-linear

• None have a constant rate of change

In a non-linear relationship, how do the outputs change?

• By a constant addition

• By a constant multiplication

• By a varying pattern

• By subtraction

What must be true for a relationship to be linear?

• The rate of change must be constant

• The rate of change must vary

• The inputs must be subtracted

• The outputs must be multiplied