Exploring Slope and Rate of Change in Linear Relationships

Mrs. Huntley introduces the concept of slope in linear relationships, explaining it as a rate of change between dependent and independent variables. She describes different types of slopes, including positive, negative, zero, and undefined slopes, using relatable examples. The lesson includes methods for calculating slope from a graph, emphasizing the importance of using integer coordinates. Students are encouraged to practice identifying slopes and are given strategies to remember the differences between slope types.

What is the essential question introduced at the beginning of the lesson?

• What is slope and how do I count slope from a graph?

• What are dependent and independent variables?

• How do I identify linear relationships?

• What is the rate of change?

Which variable is considered dependent in a linear relationship?

• X

• Y

• Both X and Y

• Neither X nor Y

How is a positive slope identified on a graph?

• The line goes down from left to right

• The line is flat

• The line goes up from left to right

• The line is vertical

What does a zero slope indicate?

• A vertical line

• A line that goes up from left to right

• A flat line

• A line that goes down from left to right

What is the term used for the ratio of vertical change to horizontal change?

• Slope

• Gradient

• Intercept

• Angle

What is the Greek letter used to represent change in mathematics?

• Alpha

• Beta

• Gamma

• Delta

Why is it important to choose integer coordinates when calculating slope?

• To avoid fractions

• To make counting easier

• To ensure accuracy

• All of the above

What is the slope of a line that rises 4 units and runs 3 units?

• 3/1

• 1/3

• 4/3

• 3/4

What is the slope of a vertical line?

• Zero

• Undefined

• Positive

• Negative

What is the relationship between similar triangles and slope?

• They have different slopes

• They have the same slope

• They have undefined slopes

• They have zero slopes