1. Lesson 9
Linear Equations
Linear Scatter Plots

2. Warm-Up Write the first five terms of each recursive sequence.
Start Value = Operation = Add 6
Start Value = Operation = Subtract 5
Start Value = Operation = Add

3. Target: Create scatter plots for recursive sequences.
Linear Scatter Plots
Target:
Create scatter plots for recursive sequences.

4. Example 1a
Describe the linear relationship given by the y-coordinates on the graph by stating the recursive routine and the first 10 numbers in the recursive sequence.
y-coordinates: 1, 4, 7, 10, 13…
Start Value: 1
Operation: Add 3
First 10 coordinates: 1, 4, 7, 10, 13, 16, 19, 22, 25, 28

5. Example 1b
Describe the linear relationship given by the y-coordinates on the graph by stating the recursive routine and the first 10 numbers in the recursive sequence.
y-coordinates: 7, 2, −3, −8, …
Start Value: 7
Operation: Subtract 5
First 10 coordinates: 7, 2, −3, −8, −13, −18, −23, −28, −33, −38

6. Example 2 Jerome throws the shot put for
Newbridge High School. Coming into the season his personal best was 42 feet. Each week his shot put throws increase by 0.5 feet. Create a scatter plot that represents the situation. Write a recursive routine to describe it.
Start Value: 42 feet
Operation: Add 0.5 feet

7. Exit Problems
Describe the linear relationship given by the y-coordinates on each graph.

8. Communication Prompt
Why might you want to show a recursive routine using
different displays (input-output table, graphs, etc)?