Lesson 8T ~ Recursive Routines
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1 Lesson 8T ~ Recursive Routines Name Period Date 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,, Start Value: Operation:., 5,, 5,,,, Start Value: Operation:., 7,,, 9,, Start Value: Operation:. 6,, 8,,, 6,, Start Value: Operation: 5. 9,,,,, 6, Start Value: Operation: 6.,,,,,, 6 Start Value: Operation: 7.,, 8,,,, Start Value: Operation:
2 For each sequence below, describe the recursive routine and give the 8 th term in the sequence. 8., 8, 5,, 9.,, 8, 5, Start Value: Start Value: Operation: Operation: 8 th Term: 8 th Term:.,.,.8,.,.,, 9,, Start Value: Start Value: Operation: Operation: 8 th Term: 8 th Term:. 6, 6,,,.,, 8,, Start Value: Start Value: 8 Operation: Operation: 8 th Term: 8 th Term:
3 Lesson 9T ~ Linear Plots Name Period Date 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: The Start Value is the value when is. Start Value. Start Value: Operation:
4 Describe the linear relationship given b the -coordinates on each linear scatter plot b stating the start value and operation. Create an input-output table showing the ordered pairs on each linear scatter plot.. Start Value: Operation:. Fill in a table and create a scatter plot for the recursive routine given below. Use input values from to. Start Value: 5 Operation: Subtract
5 Lesson T ~ Recursive Routine Applications Name Period Date. Seth owns 8 baseball cards. Each week he plans to add cards to his collection. a. Write a recursive routine (start value and operation) that describes the total number of baseball cards Seth will own based on the number of weeks he has been collecting cards. Start Value: Operation: b. Create an input-output table that shows the number of cards in his collection over the first five weeks. c. Create a scatter plot that shows the number of cards in Seth s collection over the first five weeks. Label both aes. Weeks Cards -ais 5 -ais d. Determine how man weeks it will take before Seth has 6 cards in his collection. 8,, Start Value Week Use a recursive routine and our calculator to find the week where Seth has 6 cards. Answer:
6 . Hector had 8 tets per month on his cell-phone plan. Each da, Hector sent tets. a. Write a recursive routine that describes how man tets Hector has left based on the number of das he has been teting. b. Create an input-output table that shows the tets Hector has left over the first five das. c. Create a scatter plot that shows how man tets Hector has left over the first five das. Label both aes. Das Tets Left 5 d. Hector wants to make sure he has 5 tets left for the da of his birthda part. After how man das will Hector have 5 tets left?
7 Lesson T ~ Rate of Change Name Period Date 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: Start Value: Start Value: Rate of Change: Rate of Change: This table moves two steps at a time. Divide b two to find the rate of change for one step. Start Value: Start Value: Rate of Change: Rate of Change: The start value is not shown. Work backwards or forwards to find when =. Start Value: Start Value:
8 Complete each table using the rate of change and the start value for each problem Rate of Change: Rate of Change: Start Value: Start Value: Rate of Change: Rate of Change:.5 Start Value: Start Value: 5. 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:
9 Lesson T ~ Recursive Routines to Equations Name Period Date WRITING EQUATIONS FROM RECURSIVE ROUTINES = ± Start Value Rate of Change Match each recursive rule with its slope-intercept equation.. Start Value: 5 Rate of Change: 7 A. = 5 +. Start Value: 8 Rate of Change: B. = 8 +. Start Value: 7 Rate of Change: 5 C. =. Start Value: 8 Rate of Change: D. = 5. Start Value: Rate of Change: E. = Start Value: Rate of Change: F. = + 7. Start Value: Rate of Change: G. = 8. Start Value: Rate of Change: H. = Start Value: 5 Rate of Change: I. = 8. Start Value: Rate of Change: 6 J. = Start Value: 9 Rate of Change:.5 K. = + 6
10 Determine the rate of change and the start value for each table. Write an equation in slopeintercept form Rate of Change: Start Value: Equation: Rate of Change: Start Value: Equation: Rate of Change: Start Value: Equation: Rate of Change: Start Value: Equation: Rate of Change: Start Value: Equation: Rate of Change: Start Value: Equation:
11 Lesson T ~ Input-Output Tables from Equations Name Period Date Determine the slope and -intercept of the given equations.. = + slope: -intercept: Slope = Rate of Change -intercept = Start Value. = 6 slope: -intercept:. = 7 slope: -intercept:. = 9 slope: -intercept: Complete the input-output tables for each equation. 5. = + 6. = = + = () + () () + 7. = 7 8. = + = 7 5 = + 8
12 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. 9. =. = + = Ordered Pair (, ) = + Ordered Pair (, )
13 Lesson T ~ Calculating Slope from Graphs Name Period Date Sketch a line that has the given slope.. Positive Slope. Negative Slope. Zero 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 Remember that slope is rise over run. SLOPE = SLOPE = SLOPE = SLOPE =
14 Draw a line that has the given slope. 9. slope =. slope = Pick an point to start from.. slope =. slope = undefined. Will all our classmates graphs for #9-# look eactl the same? Wh or wh not?
15 Lesson 5T ~ The Slope Formula Name Period Date Determine the slope of the line that passes through each pair of points. Write in simplest form.. (, 5) and (7, 8) Label the ordered pairs first. Then substitute into the slope formula and solve. Slope Formula =. (, ) and (, 6). (, ) and (5, 7) = =. (, ) and (, 8) 5. (, 5) and (8, ) 6. (, ) and (, ) 7. (6, ) and (, ) 8. (, 6) and (, 8) 9. (5, ) and ( 5, )
16 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 = Slope = Slope = Start at the -intercept. Ordered Pairs: Ordered Pairs: Equation: Equation:
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