Objective

By the end of this lesson, the student will be able to understand and apply basic math concepts related to roller coasters.

Materials and Prep

• Pen or pencil
• Blank paper

No prior knowledge is required for this lesson.

Activities

1. Design a Roller Coaster: Encourage the student to use their imagination and draw their dream roller coaster. They can include loops, drops, and twists. Once they have completed their design, ask them to label the different parts of the roller coaster, such as the highest point, the steepest drop, and the length of the track.

2. Calculating Speed: Explain to the student that speed is an important factor in roller coaster design. Ask them to choose a point on their roller coaster track and measure the distance in meters. Then, ask them to time how long it takes for a toy car or object to travel that distance. Using the formula speed = distance / time, help the student calculate the speed of their roller coaster at that point.

3. Graphing Heights: Provide the student with a set of height measurements at different points along their roller coaster track. Ask them to plot these points on a graph, with the x-axis representing the distance and the y-axis representing the height. Once the points are plotted, help them connect the dots to create a roller coaster height graph.

Talking Points

• "Did you know that roller coasters are not just fun, but they also involve a lot of math? Today, we are going to explore some math concepts related to roller coasters!"

• "When designing a roller coaster, it's important to think about different parts, like loops, drops, and twists. Let's draw our dream roller coasters and label the different parts."

• "Speed is an important factor in roller coaster design. We can calculate the speed of a roller coaster at a specific point using the formula speed = distance / time. Let's measure a distance on our roller coaster track and time how long it takes for an object to travel that distance."

• "Graphs can help us visualize data. We can create a roller coaster height graph by plotting different height measurements along the track. Then, we can connect the dots to see how the height changes."