Sergio Hudson & the Slope Intercept Formula

Introduction (10 minutes)

Discuss the concept of slope in everyday life.
Explain that slope is a measure of how steep a line is.
Relate slope to real-world examples, such as the steepness of a hill or the rate of change in temperature. Introduce students to Sergio Hudson (see slide 2 in resources tab).
 

Exploration (20 minutes)

Introduce the slope-intercept form of a linear equation: y = mx + b.
Explain that m represents the slope and b represents the y-intercept.
Provide examples of linear equations in slope-intercept form and identify the slope and y-intercept.
 

Explanation (15 minutes)

Relate the slope-intercept form to fashion purchases. Pull up slide 3 on the Sergio Hudson & Slope activity (linked in the resources tab).
Explain that y represents the total cost, m represents the number of articles of clothing purchased, x represents the cost of each article, and b represents the delivery fee.
Provide examples of fashion purchase scenarios and write the corresponding linear equations in slope-intercept form.
 

Elaboration (20 minutes)

Divide students into small groups.
Provide each group with the activity link and ask them to write the corresponding linear equation in slope-intercept form in carts 1 & 2.
Have students graph the linear equation and interpret the slope and y-intercept in the context of the scenario.
 

Evaluation (5 minutes)

Have students complete the "RING UP" & "REAL WORLD APPLICATIONS" portions of the interactive activity linked in the resource tab on slope and the slope-intercept form.

differentiation: Provide several examples of slope-intercept form as used in the real world with accompanying graphs and explanations. Ex: an Uber Eats purchase of 2 $8 cheeseburgers and a $7 delivery fee would eb represented as y = 2(8) + 7.

extension: Explore different real-world applications of linear equations (e.g., distance-time, cost-benefit analysis).

Use the performance task (located in the resources tab) to assess student learning outcomes.