Exploring Slope and Rate of Change Concepts

This video tutorial introduces the concept of slope, also known as rate of change, unit rate, or constant of proportionality. It explains how to identify the type of slope a line has from a graph, using real-life examples like babysitting wages. The tutorial covers the four types of slope: positive, negative, zero, and undefined, and provides strategies for identifying them on a graph. The video concludes with practice exercises and a review of key concepts.

What are other terms used for 'slope' in mathematics?

• Unit rate, constant of proportionality

• Gradient, tangent

• Derivative, integral

• Mean, median

In the babysitting example, how much money is earned after 4 hours?

• $30

• $40

• $50

• $20

What does the slope represent in the babysitting wages example?

• The total money earned

• The rate of change of money earned per hour

• The total hours worked

• The number of babysitters

How is slope calculated in a relationship?

• Sum of x and y

• Change in y over change in x

• Product of x and y

• Change in x over change in y

What does a positive slope indicate on a graph?

• The line is vertical

• The line is increasing from left to right

• The line is flat

• The line is decreasing from left to right

Which type of slope is represented by a flat horizontal line?

• Undefined slope

• Zero slope

• Positive slope

• Negative slope

What type of slope does a vertical line have?

• Undefined slope

• Negative slope

• Zero slope

• Positive slope

If a line on a graph is going downhill from left to right, what type of slope does it have?

• Positive slope

• Negative slope

• Undefined slope

• Zero slope

What strategy can be used to determine the type of slope on a graph?

• Count the number of points on the line

• Measure the length of the line

• Put a dirt bike on the line and see if it goes up, down, or stays flat

• Check the color of the line

What is the relationship between the steepness of a line and the rate of change?

• The steeper the line, the smaller the rate of change

• The steeper the line, the greater the rate of change

• The steepness of the line does not affect the rate of change

• The steepness of the line is inversely proportional to the rate of change