1. Week 30 Powerpoints
Nowak Alg 1 Week 30

2. Day 1
Nowak Alg 1 Week 30

3. #134 Do Now continued (Week 30 Day 1) Welcome Back! 
3 – 2 – 1 Reflection
Write 3 words to describe your spring break
Write 2 ideas/concepts you remember about exponents
1. Write 1 goal for yourself today

4. #134 Do Now continued (Week 30 Day 1) Welcome back! 
1. Consider the following two jobs:
JOB A: You get paid $100 per day
JOB B: You get paid 1 penny on the first day, and your paycheck doubles each day (so it is 1 penny on
the first day, 2 pennies on the second day, 4 pennies on the third day, etc.)

5. #135 Stations Investigations
1. 8 minutes per station – 4 minutes to do the lab, 4 minutes to answer the questions together
2. Record your answers in the tables on the half-sheet in your notebook

6. #135 Stations Investigations (Summary)
What do all these situations have in common?

7. #135 Stations Investigations (Summary) In your notes, write the formula for each situation
Paper Folding
Folding a sheet of paper repeatedly & counting the number of layers
Fractal Tree
Each round, drawing 3 new branches from the previous seeds
Penny Lab
Each round, mixing the pennies up and counting only the ones that are heads up
Paper Folding Fractal Tree Penny Lab

8. Exit Ticket 1. Consider the following two jobs:
JOB A: You get paid $100 per day
JOB B: You get paid 1 penny on the first day, and your paycheck doubles each day (so it is 1 penny on
the first day, 2 pennies on the second day, 4 pennies on the third day, etc.)

9. Day 2
Nowak Alg 1 Week 30

10. #136 Do Now (Week 30 Day 2) Paper Folding (doubling layers)
1. Look at the graphs to the right. Which one matches…
Paper Folding (doubling layers)
Fractal Trees (tripling branches)
Penny Lab (half as many pennies)
2. Describe the shape of each graph. How are they all similar?
Graph Graph Graph 3

11. #137 – grab a calculator

12. #137

13. #137

14. #137

17. Graph

18. Graph
Equation x
y = a(b)
y = 1 x 1 4 1 4
a = 1 and base b =

19. Graph

20. Graph
Equation x
y = a(b)
y = 1 x 1 5 1 5
a = 1 and base b =

21. Graph

22. Graph
Equation x
y = a(b)
y = 2(2) x 4 2
a = 2 and base b = = 2

23. Graph

24. Graph
Equation x
y = a(b)
y = 1 x 1 5 1 5
a = 1 and base b =

25. Graph

26. Graph
Equation x
y = a(b)
y = 8 x 1 4
a = 8 and base b = =

27. Graph

28. Graph
Equation x
y = a(b)
y = 6 x 1 3
a = 6 and base b = =

29. Graph

30. Graph
Equation x
y = a(b)
y = 2 x 1 4
a = 2 and base b = =

31. Graph

32. Graph
Equation x
y = a(b)
y = 2(4) x 8 2
a = 2 and base b = = 4

33. Graph

34. Graph
Equation x
y = a(b)
y = 2 x 1 5
a = 2 and base b = =

35. Graph

36. Graph
Equation x
y = a(b)
y = 1(3) x 3 1
a = 1 and base b = = 3

37. Graph

38. Graph
Equation x
y = a(b)
y = 5(2) x 10 5
a = 5 and base b = = 2

39. Day 3
Nowak Alg 1 Week 30

40. #138 Do Now 3/16 or 3/17
1. Determine the multiplier (growth factor) for each situation below. A. B. C. 2. Write an equation for A, B, and C. (___initial value___ * __multiplier___n) X Y 1 5 2 25 3
125 4
625 X Y
0.4 1
0.12 2
0.36 3
1.08 4
3.24

41. Yonkers Story – See other powerpoint

42. Exponential Scenarios

43. Day 4
Nowak Alg 1 Week 30

44. Percentages as Multipliers
Algebra 1 Week 30 Day 1

45. #139 Do Now (Week 30 Day 4) *Turn in homework to inbox*
1. Rewrite each percentage as a decimal 2. Rewrite each decimal as a percentage 3. A shirt has an original price of $10. If it is on sale for 25% off, how much does it cost now?

46. #139 Do Now (Week 30 Day 4)
1. Rewrite each percentage as a decimal 2. Rewrite each decimal as a percentage
A shirt has an original price of $10. If it is on sale for 25% off, how much does it cost now?
“25% off” is the same as “you pay 75% of the original price”, so $10 * 0.75 = $7.50

47. #140 Exponential Growth & Decay

48. #140 Exponential Growth & Decay
Want 100% of starting value and more
Multiplier is greater than one
The shirt’s price is increased by 50%
Want 150% of the original price
$12 x 1.5 = $18 is the new price
Increase, appreciate, grow, enlarge, gain
Beginning amount
Y - intercept
No change
Want 100% of starting value exactly
Multiplier is one
“The shirt originally costs $12”
$12 x 1 = $12 is exactly the original price
Decrease, depreciate, shrink, lower, lose
Want less than 100% of the starting value
Multiplier is less than one
The shirt is on sale for 25% off
(The shirt costs 75% the original price)
$12 x 0.75 = $9

49. 100 people x _____ = 150 people total
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A theme park employs 100 people. They want to hire 50% more people by the end of the year”
100 people x _____ = 150 people total

50. 100 people x _1.50__ = 150 people total
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A theme park employs 100 people. They want to hire 50% more people by the end of the year”
100 people x _1.50__ = 150 people total

51. $2 x _____ = $2 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it at exactly the same price you paid”
$2 x _____ = $2 for the new price

52. $2 x __1.00___ = $2 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it at exactly the same price you paid”
$2 x __1.00___ = $2 for the new price

53. $2 x _____ = $3.50 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it for 75% more than what you paid”
$2 x _____ = $3.50 for the new price

54. $2 x __1.75___ = $3.50 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it for 75% more than what you paid”
$2 x __1.75___ = $3.50 for the new price

55. $500 x _____ = $505 after one month
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You earn 1% monthly interest on a savings account you open. You started with a deposit of $500”
$500 x _____ = $505 after one month

56. $500 x ___1.01__ = $505 after one month
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You earn 1% monthly interest on a savings account you open. You started with a deposit of $500”
$500 x ___1.01__ = $505 after one month

57. Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A $60,000 car depreciates (loses value) at 10% each year”
$60,000 x _____ = $54,000 after one year
$60,000 x ____ x _____ x _____ = $_______ after three years

58. Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A $60,000 car depreciates (loses value) at 10% each year”
$60,000 x __.90___ = $54,000 after one year
$60,000 x __.90__ x __.90___ x __.90___ = $43,740 after three years

63. Extra Slides
Nowak Alg 1 Week 30

64. Alg 1 Week 28 Powerpoints

65. Intro to Exponentials
Algebra 1 Week 28 Day 1

66. #132 – Start of Week 27 Updates *Turn in HW 27 at overhead*
1. Consider the following two jobs:
JOB A: You get paid $100 per day
JOB B: You get paid 1 penny on the first day, and your paycheck doubles each day (so it is 1 penny on
the first day, 2 pennies on the second day, 4 pennies on the third day, etc.)
Last Week’s Notebook
#125 Week 27 Updates
#126 Fill in the Face Practice
#127 Do Now 3/1
#128 Sequences Scavenger Hunt
#129 Do Now 3/2
#130 Sequences: Applying Formulas
#131 Do Now 3/3 or 3/4 (ppt slide)
Record in planner or notebook:
HW Wk 28 due Monday March 14th / Tues March 15th by 5pm. Complete 3 options.
Late work due by 5pm Thursday March 10

68. #133 Stations Investigations
1. 8 minutes per station – 4 minutes to do the lab, 4 minutes to answer the questions together
2. Record your answers in the tables on the half-sheet in your notebook

69. #133 Stations Investigations (Summary)
What do all these situations have in common?

70. Do Now Revisit 1. Consider the following two jobs:
JOB A: You get paid $100 per day
JOB B: You get paid 1 penny on the first day, and your paycheck doubles each day (so it is 1 penny on
the first day, 2 pennies on the second day, 4 pennies on the third day, etc.)

71. Exponents 101
Algebra 1 Week 28 Day 2

72. #134 Do Now 3/9 Graph 1 Graph 2 Graph 3
1. Which situation from yesterday involved tripling (multiplying by 3) each time?
Paper Folding Fractal Trees Penny Lab
2. Which situation from yesterday involved halving (multiplying by ½) each time?
3. Which graph to the right correctly shows the number of layers of paper after folding a sheet in half repeatedly?
Graph 1 Graph 2 Graph 3
BONUS: Write a recursive formula for each situation from yesterday.

73. #134 Do Now 3/9
Graph 1 Graph 2 Graph 3
1. Which situation from yesterday involved tripling (multiplying by 3) each time?
Paper Folding Fractal Trees Penny Lab
2. Which situation from yesterday involved halving (multiplying by ½) each time?
3. Which graph to the right correctly shows the number of layers of paper after folding a sheet in half repeatedly?
Graph 1 Graph 2 Graph 3

74. #135 Exponents Review

75. #135 Exponents Review 5*5 = 25 2*2*2*2 = 16 3*3*3 = 27 7*7 = 49
4*4*4*4 = 256
12*12 = 144

76. #135 Exponents Review cont’d
/2 3
(-2) 6
(7 ∙ 8) 5
(-1/3) 2
(3/5) 2

77. #135 Exponents Review cont’d
10 ∙ 10 ∙ 10 = 1000 11
1*1*1*1*1*1 = 1
20*20 = 400
6 * 6 * 6 = 216
7 * 7 * 7 = 343
0*0*0*0*0 = 0
½ * ½ * ½ = 1/8
-2*-2*-2*-2*-2*-2 = 64
(7*8)(7*8)(7*8) =
-1/3 * -1/3 * -1/3 = -1/27
3/5 * 3/5 = 9/25
/2 3
(-2) 6
(7 ∙ 8) 3
(-1/3) 2
(3/5) 2

78. Do Now Revisit 1. Consider the following two jobs:
JOB A: You get paid $100 per day
JOB B: You get paid 1 penny on the first day, and your paycheck doubles each day (so it is 1 penny on
the first day, 2 pennies on the second day, 4 pennies on the third day, etc.)

79. 16 8 4 2

80. #121 Cont’d

81. #136 Explicit Geometric Formula Examples Write the explicit formula for each situation
Paper Folding
Folding a sheet of paper repeatedly & counting the number of layers
Fractal Tree
Each round, drawing 3 new branches from the previous seeds
Penny Lab
Each round, mixing the pennies up and counting only the ones that are heads up
Paper Folding Fractal Tree Penny Lab

82. Homework / Make Up Time Your choices: 1. Work on this week’s homework
2. Start any quizzes/tests you need to make up
3. Work on previous homework

83. Exponential Word Problems
Algebra 1 Week 28 Day 3

84. #136 Do Now 3/10 or 3/11

86. Exponents Review 5*5 = 25 2*2*2*2 = 16 3*3*3 = 27 7*7 = 49
4*4*4*4 = 256
12*12 = 144

87. #137 Exponential Scenarios

88. Alg 1 Week 29 Powerpoints

89. Test Corrections Revisit
Algebra 1 Week 29 Day 1

90. Do Now – No # *Turn HW in at overhead
Read the directions on the “test corrections” reflective form. Then, in your notebook, answer the questions below.
1. Do you need to rewrite all the correct steps on this form?
2. How many questions will you write reflections for using this form?
3. Where do you list who & what helped you? Where do those people sign?
4. Will you get points back if it seems you still don’t understand the problem?

91. Practice
Would the following responses earn credit based on the test corrections rubric?
1. “My answer is wrong because I graphed it wrong. I had to draw the line correctly”
2. “The answer from the key is right because you need to shade below the line when the symbol is less than”
3. “The answer from the key is right because first you subtract 2 from both sides, then you divide by -3, and then you get x > 5”
4. “My answer was wrong because I forgot to flip the sign when dividing by zero”

92. Quiz Corrections
Use the template to complete quiz corrections for this past week’s quiz.
This is due at the end of class.

93. Multiple Representations of Exponential Functions
Algebra 1 Week 29 Day 2

94. #138 Do Now 3/16 or 3/17
1. Determine the multiplier (growth factor) for each situation below.
A. B C.
2. Write an equation for A, B, and C. (___initial value___ * __multiplier___n) X Y 1 5 2 25 3
125 4
625 X Y
0.4 1
0.12 2
0.36 3
1.08 4
3.24

95. #139 Writing Exponential Equations Using a Graph

97. Test Corrections Cont’d
Algebra 1 Week 29 Day 3

98. #140 Do Now 3/18
Vocabulary: In an exponential expression, the base is the number that is repeatedly multiplied & the exponent tells you how many times it repeats.
1. Identify the base and the exponent:
A) 35 B) C) (6+2)7
2. Identify the zero term and the multiplier:
A) 2.1 ∙ 5x B) 0.5n ∙ 7 C) 3n
3. Is the following exponential function increasing or decreasing: -2n ∙ 1

99. #139 Writing Exponential Equations Using a Graph

101. Your Tasks - Finish quiz corrections (due at end of class)
- Redo Unit 4 test corrections
- Redo any quarter 3 hw you’d like to resubmit
- Work on Week 29 HW (due next Wed)

102. Percentages as Multipliers
Algebra 1 Week 30 Day 1

103. #141 Do Now 3/21
1. Rewrite each percentage as a decimal 2. Rewrite each decimal as a percentage
3. A shirt has an original price of $10. If it is on sale for 25% off, how much does it cost now?

104. #141 Do Now 3/21
1. Rewrite each percentage as a decimal 2. Rewrite each decimal as a percentage
3. A shirt has an original price of $10. If it is on sale for 25% off, how much does it cost now?
“25% off” is the same as “you pay 75% of the original price”, so $10 * 0.75 = $7.50

105. #142 Exponential Growth & Decay

106. 100 people x _____ = 150 people total
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A theme park employs 100 people. They want to hire 50% more people by the end of the year”
100 people x _____ = 150 people total

107. 100 people x _1.50__ = 150 people total
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A theme park employs 100 people. They want to hire 50% more people by the end of the year”
100 people x _1.50__ = 150 people total

108. $2 x _____ = $2 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it at exactly the same price you paid”
$2 x _____ = $2 for the new price

109. $2 x __1.00___ = $2 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it at exactly the same price you paid”
$2 x __1.00___ = $2 for the new price

110. $2 x _____ = $3.50 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it for 75% more than what you paid”
$2 x _____ = $3.50 for the new price

111. $2 x __1.75___ = $3.50 for the new price
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You buy a candy bar for $2. You want to resell it for 75% more than what you paid”
$2 x __1.75___ = $3.50 for the new price

112. $500 x _____ = $505 after one month
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You earn 1% monthly interest on a savings account you open. You started with a deposit of $500”
$500 x _____ = $505 after one month

113. $500 x ___1.01__ = $505 after one month
Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“You earn 1% monthly interest on a savings account you open. You started with a deposit of $500”
$500 x ___1.01__ = $505 after one month

114. Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A $60,000 car depreciates (loses value) at 10% each year”
$60,000 x _____ = $54,000 after one year
$60,000 x ____ x _____ x _____ = $_______ after three years

115. Whiteboard practice
From each situation below, figure out what the multiplier is to finish the calculation.
“A $60,000 car depreciates (loses value) at 10% each year”
$60,000 x __.90___ = $54,000 after one year
$60,000 x __.90__ x __.90___ x __.90___ = $43,740 after three years

117. Yonkers, NY
Algebra 1 Week 30 Day 2

118. #143 Do Now 3/22
1. Decide whether the equation shows exponential growth (increasing) or decay (decreasing). Write the multiplier as a percentage.
77 * 1.05
77 * 0.9
77 * 2.50
d) 77 * 0.85
2. Alexis needs to take out student loans to pay for college and is doing some research. The average college students needs about $28,000 to cover all four years, and interest is charged at 6.41% per month after college.
Write an exponential equation that shows how much Alexis will owe if no loan payments are made.

119. #143 Do Now 3/22
1. Decide whether the equation shows exponential growth (increasing) or decay (decreasing). Write the multiplier as a percentage.
77 * Exponential growth, 105% (Increase by 5%)
77 * Exponential decay, 90% (Decrease by 10%)
77 * Exponential growth, 250% (Increase by 150%)
d) 77 * Exponential decay, 85% (Decrease by 15%)
2. Alexis needs to take out student loans to pay for college and is doing some research. The average college students needs about $28,000 to cover all four years, and interest is charged at 6.41% per month after college.
Write an exponential equation that shows how much Alexis will owe if no loan payments are made ,000 * x

120. Yonkers, New York

121. US Dept. of Justice & NAACP 1968 Fair Housing Act
Housing and segregation

122. Judge Leonard Sand

129. $100

131. August 2nd - August 9th

132. By the end of the week, they owed $12,700
August 2nd - August 9th
By the end of the week, they owed 
$12,700

134. August 9th - September 2nd

135. Are these fines constitutional?
The fines were ruled
UNCONSTITUTIONAL
Are these fines constitutional?
Due Process Clause of 
the Fifth Amendment
Excessive Fines Clause of 
the Eighth Amendment

136. The fines were ruled UNCONSTITUTIONAL
Due Process Clause of 
the Fifth Amendment
Excessive Fines Clause of 
the Eighth Amendment

137. UNTIL THEY REACH $1 MILLION -
THEN JUST 
KEEP ADDING 
$1 MILLION 
EACH DAY

139. September 10th

140. Passed the amendment to build 1,000 new units throughout the city
^_^
Passed the amendment 
to build 1,000 new units 
throughout the city

141. UNTIL THEY REACH $1 MILLION -
September 2nd - 
September 10th
UNTIL THEY 
REACH $1 
MILLION -
THEN JUST 
KEEP ADDING 
$1 MILLION 
EACH DAY

144. Algebra 1 Week 30 Day 3 Exponential Functions Numbered Heads Together

145. #145 Do Now 3/24 & 3/25
1. Which equation below represents the situation: a population of 112 birds is increasing by 20% each month. 2. Which equation below represents the situation: a population of 112 birds is decreasing by 20% each month. 3. Write an equation for the situation: a sapling with 25 leaves on it is quadrupling (x4) the number of leaves each month.
a) 112 ∙ 0.2x b) 112x ∙ c) 112 ∙ 1.2x d) 112 ∙ 0.8x
a) 112 ∙ 0.2x b) 112x ∙ c) 112 ∙ 1.2x d) 112 ∙ 0.8x

146. #145 Do Now 3/24 & 3/25
1. Which equation below represents the situation: a population of 112 birds is increasing by 20% each month. 2. Which equation below represents the situation: a population of 112 birds is decreasing by 20% each month. 3. Write an equation for the situation: a sapling with 25 leaves on it is quadrupling (x4) the number of leaves each month. 25 ∙ 4x
a) 112 ∙ 0.2x b) 112x ∙ c) 112 ∙ 1.2x d) 112 ∙ 0.8x
a) 112 ∙ 0.2x b) 112x ∙ c) 112 ∙ 1.2x d) 112 ∙ 0.8x

147. Problem 6
Evaluate the function
when x = 6 :
f(x) = –3(2)x
2 minutes

148. Solution 6
When x = 6 :
f(6) = –3(2)6
f(6) = –3(64)
f(6) = –192

149. Problem 8 Use the table to write the equation for the function: x f(x)
2 minutes x
f(x)
– 1
2/3 2 1 6 18 3 54

150. Solution 8
The equation for the function
from the table:
f (x) = 2(3)x

151. Bonus 1
Write the equation of the function:
2 minutes

152. Solution Bonus 1
f (x) = -3(2)x

153. BONUS 2
Write the equation of the function:
3 minutes

154. BONUS solution 2
f (x) = -5(0.2)x

155. BONUS 3
Write the equation of the function:
3 minutes

156. BONUS solution 3
f (x) = 10(0.4)x

157. Quiz Show all work You may use your notes & a calculator
You may NOT use your phone, electronics, someone else’s notes, someone else’s work
Cover your quiz with your notebook or a piece of paper when finished
Raise your hand if you have a question

158. Extra Credit Options There is no homework over spring break
However, if you’d like extra credit:
Every 30 minutes of Khan Academy will count as one homework square (3 pts for every 30 mins)
The SAT practice sheet counts as one homework problem set (9 pts)