Cars

Scatter Plots and Equations

Curriculum Connection: Mathematics

Background

This lesson provides a practical example of the use of scatter plots and equations in the automotive repair and service industry.

Student Learning Outcomes

Students will:

Solve multi-step problems involving applications of percent, ratio and rate,
Use a scientific calculator effectively,
Substitute into and evaluate algebraic expressions,
Construct tables of values, graphs and formulae to represent linear relations derived from descriptions of realistic situations,
Determine values of a linear relation by using the formula and by interpolating or extrapolating.

Materials Needed

Scientific calculators and graph paper.
Assignment handouts and an overhead transparency made from the Scatter Plots and Equations Assignment Sheet (PDF).
Copies of the Service Manager, Collision Estimator and Shop Owner profiles from the For Youth section.

Time Needed

Suggested Procedure

Review percent, rate and linear relations, with discussion and examples. (15 minutes)
Present the problem and chart, using the overhead. Have students work in pairs to complete the chart. Take up the chart by having the pairs present their answer on the board. (15 minutes)
Give students the individual assignment. Provide time in class, but allow students to finish the assignment at home. (15 minutes)
- Individual assignment: Use the data chart from the problem to create a line graph. From the graph, answer the following questions:
  - What is the equation for the line of best fit?
  - Using the equation, predict how much it will cost to fix Bob's car if 2.75 hours are spent on it?
Have students read the profiles of Service Manager, Collision Estimator and Shop Owner.
Wrap up. Questions and answers. Have students write the due date at the top of the assignment sheet. (5 minutes)