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Name: ________________________ Date: ____________ Per: _______
IM 1 5. 1. 3 Patterns: DLT: By the end of the lesson, students will be able to represent exponential decay on a table and a graph as evidenced by completing a classroom experiment.
Bouncing Ball Experiment: Instructions:
- We are going to drop a ball and see what happens.
- The goal is to see how the height of the ball changes as it continues to bounce.
- One student will get to drop the ball and we’ll record the heights of the rebound.
- We will fill out this table together based on the results.
a. Based on our graph, answer the following questions:
● What is the Domain and Range of the graph?
● Is it continuous (points are connected) or is it discrete (points are not connected)?
● Is it a function? How do you know?
● What is the meaning ofh(4)?
b. How is this pattern different from exponential growth?
c. What do you think would happen if we dropped the ball from 100cm? Using our experiment, predict the height of 4 bounces?
Bounce 0 1 2 3 4
Prediction (cm) 100
● What is helping us make an accurate prediction?
Closure:
If we continued to let the ball bounce uninterrupted, would the ball ever stop bouncing? Explain your answer using complete sentences.
Practice 2 :
Below are some sequences. Find how each sequence is growing.
● Complete these tables for sequences C, D, E, and F.
● Now, graph each sequence.
a. Describe the difference between thegrowth of the tables of sequences C & D compared to sequences E & F.
The pattern between C & D grows…
The pattern between E & F grows…
b. Describe the difference between theshape of the graph of C & D compared to E & F.
The shape of the graph of C & D…
The shape of the graph of E & F…
