Lesson 8 ~ Recursive Routines
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1 Lesson 8 ~ Recursive Routines Find the missing values in each sequence. Identif the start value and the operation that must be performed to arrive at the net term.., 7,,, 6,,.,,,, 7,,,. 7,, 7,, 7,,.,, 6,,, 7,,., 9,,,,, 6.,,, 66,,, For each sequence below, describe the recursive routine and give the 8 th term in the sequence. 7.,, 7,, 8..9,.,.,.8, 8 th Term: 8 th Term: 9.,,,,.,, 7,, 8 th Term: 8 th Term:. 6,,, 6,.,,,, 8 th Term: 8 th Term: 8 SM C Curriculum Oregon Focus on Linear Equations
2 Lesson 9 ~ Linear Plots Describe the linear relationship given b the -coordinates on each linear plot b stating the start value and operation. Create an input-output table showing the ordered pairs on each linear plot.. Start Value: Operation:. Start Value: Operation:. Start Value: Operation:. Create a scatter plot for the recursive routine given below. Use input values from to. Start Value: 7 Operation: Subtract 8 SM C Curriculum Oregon Focus on Linear Equations
3 Lesson ~ Recursive Routine Applications. Shasta owns baseball cards. Each week she plans to add 6 cards to her collection. a. Write a recursive routine (start value and operation) that describes the total number of baseball cards Shasta will own based on the number of weeks she has been collecting cards. b. Create an input-output table that shows the number of cards in her collection over the first five weeks. c. Create a scatter plot that shows the number of cards in Shasta s collection over the first five weeks. Label both aes. Weeks Cards d. Determine how man weeks it will take before Shasta has 76 cards in her collection.. Before Henr went on a diet, he weighed 6 pounds. Each month he diets, he loses pounds. a. Write a recursive routine that describes Henr s weight based on the number of months he has been dieting. b. Create an input-output table that shows Henr s weight over the first five months. c. Create a scatter plot that shows Henr s weight over the first five months. Label both aes. Months Weight d. Henr s doctor told him a good weight for his age is pounds. How man months will it take him to reach this weight? 8 SM C Curriculum Oregon Focus on Linear Equations
4 Lesson ~ Rate of Change Each table shows five terms in a recursive routine. Determine the rate of change and start value for each table Rate of Change: Rate of Change: Rate of Change: Start Value: Start Value: Start Value: Rate of Change: Rate of Change: Rate of Change: Start Value: Start Value: Start Value: Complete each table using the rate of change and the start value for each problem Rate of Change: Rate of Change: Rate of Change:. Start Value: Start Value: Start Value:. Create our own recursive routine b choosing our own rate of change and start value. Complete a table with five pairs of values that correspond to our recursive routine. Rate of Change: Start Value: SM C Curriculum Oregon Focus on Linear Equations
5 Lesson ~ Recursive Routines to Equations Match each recursive rule with its slope-intercept equation.. Start Value: Rate of Change: A. =. Start Value: Rate of Change: B. = +. Start Value: Rate of Change: C. = +. Start Value: Rate of Change: D. =. Start Value: Rate of Change: E. = + 6. Start Value: Rate of Change: F. = + 7. Start Value: Rate of Change: G. = 8. Start Value: Rate of Change: H. = 9. Start Value: Rate of Change: I. = + Determine the rate of change and the start value for each table. Write an equation in slopeintercept form Rate of Change: Rate of Change: Rate of Change: Start Value: Start Value: Start Value: Equation: Equation: Equation: Rate of Change: Rate of Change: Rate of Change: Start Value: Start Value: Start Value: Equation: Equation: Equation: 8 SM C Curriculum Oregon Focus on Linear Equations
6 Lesson ~ Input-Output Tables from Equations Determine the slope and -intercept of the given equations.. = + 7 slope: -intercept:. = 8 + slope: -intercept:. = slope: -intercept:. = slope: -intercept: Complete the input-output tables for each equation.. = + 6. = 7. = = + = 6 9 Fill in each table with an five pairs of values that satisf the slope-intercept equation. Graph the ordered pairs on the coordinate planes below. 8. = = +. = = 8 SM C Curriculum Oregon Focus on Linear Equations
7 Lesson ~ Calculating Slope from Graphs Sketch a line that has the given slope.. Negative Slope. Zero Slope. Positive Slope. Undefined Slope Draw a slope triangle for each line (when possible) and give the slope. Remember to designate if slope is positive or negative SLOPE = SLOPE = SLOPE = SLOPE = SLOPE = SLOPE = Draw a line that has the given slope.. slope =. slope =. slope =. slope =. Will all our classmates graphs for # look eactl the same? Wh or wh not? 8 SM C Curriculum Oregon Focus on Linear Equations
8 Lesson ~ The Slope Formula Determine the slope of the line that passes through each pair of points. Write in simplest form.. (, 8) and (, ). (, 8) and (, 7). (, ) and (, 7). (, ) and (, 8). (, ) and (, ) 6. (, 7) and (, ) 7. (6, ) and (, 9) 8. (., 6) and (., ) 9. (, ) and (, ). (, ) and (, ). (, ) and (, ). (, ) and (, ) Given the -intercept and slope of a line, sketch the line. Name three ordered pairs that are on the line. Write the slope-intercept equation for the line.. -intercept =. -intercept =. -intercept = Slope = Slope = Slope = Ordered Pairs: Ordered Pairs: Ordered Pairs: Equation: Equation: Equation: 8 SM C Curriculum Oregon Focus on Linear Equations
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