Lesson 9 Linear Equations Linear Scatter Plots

Warm-Up Write the first five terms of each recursive sequence. Start Value = 10 Operation = Add 6 Start Value = 44 Operation = Subtract 5 Start Value = 0 Operation = Add

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

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

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

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

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

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