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Math – Algebra 2 – Week of May 18
Assignments
Note
You have an accuracy homework assignment this week on Friday, 5/22 (see below). The study guide for it is due on Thursday, 5/21. The study guide is long, so it would be best to work on it across the week rather than doing it all on Thursday.
Monday, May 18
• All: Watch video on Lesson 108 in Microsoft Teams
• All: Complete Lesson 108 class work
(below)
• CP: Complete Lesson 108 worksheet
(below)
• H and HH: Complete Lesson 108: 1-30
from textbook
Tuesday, May 19
• All: Watch video on Lesson 109 in Microsoft Teams
• All: Complete Lesson 109 class work
(below)
• CP: Complete Lesson 109 worksheet
(below)
• H and HH: Complete Lesson 109: 1-30
from textbook
Wednesday, May 20
• All: Watch video on Lesson 110 in Microsoft Teams
• All: Complete Lesson 110 class work
(below)
• CP: Complete Lesson 110 worksheet
(below)
• H and HH: Complete Lesson 110: 1-30
from textbook
Thursday, May 21
• All: Complete and submit the “Study Guide – Accuracy Assignment – Week of 5/18” (see below under the Lesson 110 worksheet).
Friday, May 22
• All: Complete the Forms assignment “Accuracy Assignment – Week of 5/18” on Microsoft Teams
Instructions
• You must submit the homework to your teacher by Turnitin by the end of the day two days after it was assigned. For example, the homework for Monday is due by the end of Wednesday. The homework for Thursday and Friday are due by the end of the following Monday. To submit, you may EITHER: o Take pictures of your work. Put all pictures into a single Word
document. Save the Word document as a PDF. Submit on Turnitin. OR, you may:
o Scan your completed work as a PDF. Upload the PDF to Turnitin.
• Write legibly.
• Each IXL assignment will be worth a participation grade of 10 points. Participation grades will be posted to Power School. Each day’s homework/worksheet assignment will be worth a homework grade of 10 points. Homework grades will be posted to Power School.
• IXL assignments are not uploaded to Turnitin. Notes copied into/taken in notebook do not need to be photographed and submitted.
• Collaboration is not allowed. Collaboration: To work jointly with others or together especially in an intellectual endeavor. When collaboration takes place, all students must demonstrate understanding of the new material.
Classwork Lesson 108 Name_________________________________________
1. Show that cos2 (θ) + sin2 (θ) = 1 for θ = 600 by using unit circle
2. Show that 1 + 𝑡𝑎𝑛2 (θ) = sec2 (θ) for θ =5𝜋
4 by using unit circle
3. Show that 1 + 𝑐𝑜𝑡2 (θ) = csc2 (θ) for θ = 2120 by using calculator.
Ms. Reynolds– Algebra 2 Homework
Name: ____________________________________________ Date: _________________________
Lesson # 108 – Using Trigonometric Identities
*In addition to the following problems, please also complete #’s {1, 2, 5, 6, 9, 12, 14, 15, 21,
27, 29} from the textbook.
(1) Show that (sin (𝜃))2 + (cos(𝜃))2 = 1 for 𝜃 = 75° (2) Show that (sin (𝜃))2 + (cos(𝜃))2 = 1 for 𝜃 = 212° (3) Show that (tan (𝜃))2 + 1 = (sec(𝜃))2 for 𝜃 = 130°
(4) Show that 1 + (cot (𝜃))2 = (csc(𝜃))2 for 𝜃 = 305°
(5) Show that (tan (𝜃))2 + 1 = (sec(𝜃))2 for 𝜃 = −40°
(6) Show that 1 + (cot(𝜃))2 = (csc(𝜃))2 for 𝜃 = 25.5°
(7) Show that (sin (𝜃))2 + (cos(𝜃))2 = 1 for 𝜃 =7𝜋
4
(8) Show that (tan (𝜃))2 + 1 = (sec(𝜃))2 for 𝜃 =11𝜋
5
*In addition to the following problems, please also complete #’s {1, 2, 5, 6, 9, 12, 14, 15, 21,
27, 29} from the textbook.
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Classwork Lesson 109
Name:____________________________________________________________________________
1. Graph 𝑥2
52 −
𝑦2
42= 1
2. Graph 𝑦2
82 −
𝑥2
62= 1
O
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
O
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
Classwork Lesson 109
Name:____________________________________________________________________________
3. Graph (𝑥−3)2
52 −
(𝑦−5)2
42= 1
4. Change 54 𝑦 − 9𝑦2 + 4𝑥2 − 32𝑥 − 53 = 0 to the equation of a hyperbola in the
standard form.
O
2 4 6 8–2–4–6–8 x
2
4
6
8
–2
–4
–6
–8
y
Ms. Reynolds – Algebra 2 Homework
Name: ____________________________________________ Date: _________________________
Lesson # 109 – Graphing Hyperbolic Functions
*In addition to the following problems, please also complete #’s {3, 4, 6, 12, 17, 19, 25, 28}
from the textbook.
(1) Graph the following hyperbolic function. Identify the values of a, b, c, and the eccentricity:
𝑥2
25−
𝑦2
9= 1
(2) Graph the following hyperbolic function. Identify the values of a, b, c, and the eccentricity:
𝑥2
16−
𝑦2
36= 1
(3) Graph the following hyperbolic function. Identify the values of a, b, c, and the eccentricity:
(𝑥 + 3)2
4−
(𝑦 − 1)2
16= 1
(4) Graph the following hyperbolic function. Identify the values of a, b, c, and the eccentricity:
(𝑥 − 2)2
25−
(𝑦 − 3)2
9= 1
*In addition to the following problems, please also complete #’s {3, 4, 6, 12, 17, 19, 25, 28} from the textbook. _____________________________________________________________________________________
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Lesson 110 Lesson Practice Name____________________________________
Graph functions of the form f(x) = 𝑎 log𝑏(𝑐𝑥)
a. y = ln x y = log (x) y = log20 𝑥
b. y = ln x y = ln (5x) y = ln (10x)
Graph functions in the form of f(x) = 𝑎 log𝑏(𝑐𝑥 − 𝑑) + 𝑒
a. y = ln(2x) y = ln(2x – 1) y = ln(2x – 3)
b. y = log (3x) y = log (3x) +1. y = log (3x) + 3
Ms. Reynolds – Algebra 2 Homework
Name: ____________________________________________ Date: _________________________
Lesson # 110 – Graphing Logarithmic Functions
*In addition to the following problems, please also complete #’s {2, 3, 4, 5, 8, 10, 17, 18, 20,
21, 26, 29} from the textbook.
(1) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = ln(𝑥) ; 𝑔(𝑥) = ln(2𝑥) ; ℎ(𝑥) = ln (5𝑥)
(2) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = 𝑙𝑜𝑔2(𝑥) ; 𝑔(𝑥) = 𝑙𝑜𝑔5(𝑥);ℎ(𝑥) = 𝑙𝑜𝑔3 (𝑥)
(3) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = 𝑙𝑜𝑔2(3𝑥) ; 𝑔(𝑥) = 𝑙𝑜𝑔2(𝑥); ℎ(𝑥) = 𝑙𝑜𝑔2 (9𝑥)
(4) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = ln(5𝑥) ; 𝑔(𝑥) = 𝑙𝑜𝑔(5𝑥); ℎ(𝑥) = 𝑙𝑜𝑔6 (5𝑥)
(5) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = 𝑙𝑜𝑔3(𝑥) ; 𝑔(𝑥) = 𝑙𝑜𝑔(𝑥); ℎ(𝑥) = 𝑙𝑜𝑔8 (𝑥)
(6) Sketch and label each of the following logarithmic functions on the same coordinate plane: 𝑓(𝑥) = 6𝑙𝑜𝑔3(𝑥) ; 𝑔(𝑥) = 5𝑙𝑜𝑔3(𝑥); ℎ(𝑥) = 7𝑙𝑜𝑔3 (𝑥)
*In addition to the following problems, please also complete #’s {2, 3, 4, 5, 8, 10, 17, 18, 20, 21, 26, 29} from the textbook. _____________________________________________________________________________________
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Student Name (Please Print):_______________________________________________________
Mystic Valley Regional Charter School
Study Guide – Accuracy Assignment – Week of 5/18
Course: Algebra II Lessons Covered: 1 – 100
Required: Define and / or explain the following topics:
Lesson 37: • When is a rational expression undefined?
Lesson 52: • What are the ratios for the sides of a 45-45-90 triangle?
Lesson 56: • What is a reference angle?
Lesson 81: • Give the 4 properties of logarithms
Lesson 91: • Equation of a Circle
• Midpoint Formula
Lesson 93: • How do you solve an equation when the variable is part of the exponent?
Lesson 94: • Explain the steps to solving a rational inequality
Lesson 96: • Formula for converting Polar Coordinates into Cartesian Coordinates
Lesson 98: • Explain how to determine if an ellipse is vertical or horizontal
• Formula to find the Foci of an Ellipse
• Formula for the Eccentricity of an Ellipse
Lesson 99: • Explain how to multiply two vectors together
Lesson 100: • Explain how to find the vertical and horizontal asymptotes of a rational function
*LESSON PRACTICE PROBLEMS*
Lesson 5:
(E)
Lesson 7:
(C)
Lesson 37:
(F)
Lesson 52:
(B)
Lesson 56:
(F)
Lesson 63:
(E)
Lesson 68:
(A)
Lesson 70:
(D)
Lesson 78:
(C)
Lesson 81:
(F)
Lesson 91:
(G)
Lesson 92:
(E)
Lesson 93:
(E)
Lesson 94:
(C)
Lesson 95:
(B)
Lesson 96:
(B)
Lesson 97:
(G)
Lesson 98:
(B)
Lesson 99:
(E)
Lesson 100:
(G)
