math algebra 2 week of april 13 - mysticva.entest.org - grades 9_ 10_ and 11 algebra 2... · math...

Math – Algebra 2 – Week of April 13

Assignments

Monday, April 13

• All: Watch video lesson on Lesson 90 in Microsoft Teams

• All: Complete Lesson 90 class work (below)

• CP: Complete Lesson 90 worksheet (below)

• H and HH: Complete Lesson 90: 1-30 from textbook

Tuesday, April 14

• All: Watch video on Investigation 9 in Microsoft Teams

• All: Complete Investigation 9 class work (below)

Wednesday, April 15

• All: Watch video on Lesson 91 in Microsoft Teams

• All: Complete 10 min. each on IXL on Algebra 2 topics U.4 and U.7



Thursday, April 16


• All: Complete 10 min. each on IXL on Algebra 2 topics BB.3 and BB.6



Friday, April 17


• All: Complete 20 min. total on IXL on Algebra 2 topic S.7



Instructions

• You must submit the homework to your teacher through 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 day’s 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 Name:_______________________

Lesson 90

For problems 1- 4, Write down the domain, range and period and then graph the functions

1. 𝑦 = tan(1

2𝑥)

2. 𝑦 =1

2 𝑡𝑎𝑛𝑥 + 5

3. 𝑦 = 3 tan(𝑥) + 2

4. 𝑦 = tan(1

4𝑥)

Ms. Reynolds – Algebra 2 Homework

Name: ____________________________________________ Date: _________________________

Lesson # 90 – Graphing the Tangent Function

*In addition to the following problems, please also complete #’s {4, 5, 6, 8, 10, 13, 23, 26,

29, 30} from the textbook.

(1) Determine the period of the function 𝑦 = tan (2𝑥)

(2) Determine the period of the function 𝑦 = tan (1

3𝑥)

(3) Determine the period of the function 𝑦 = tan (4𝜋𝑥)

(4) Graph two full cycles of the function 𝑦 = tan(𝑥) + 3

(5) Graph two full cycles of the function 𝑦 = tan(𝑥) − 4

(6) Graph two full cycles of the function 𝑦 = tan(3𝑥) + 2

(7) Graph two full cycles of the function 𝑦 = tan(6𝑥) − 1

(8) Graph two full cycles of the function 𝑦 = tan (1

2𝑥) + 5


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Investigation 9 Name: ------------------------

Step Functions

A cell phone company charges customers for each phone call they make. A call costs $0.50 for a

connection fee plus $0.10 for each minute of the call. The company rounds the time of the call down to

the nearest whole minute.

1. Find the cost of each phone call

a. a 5 minute call

b. a 5 ¼ minute call

c. a ¼ minute call

2. If the phone call lasts for 30 seconds would the customer be charged for the phone call?

Explain.

3. Consider the cost of a 5 minute and 5 ¼ minute phone call. Would a phone call that lasts

51/4 minutes costs more than a 5 minute call? Explain.

Investigation 9 Name: ------------------------

4. Complete the table below. Then graph the function as a piecewise function.

x f(x)

0 < x < 1 $0.50

1 ≤ x < 2

2 ≤ x < 3

3 ≤ x < 4

4 ≤ x < 5

5 ≤ x < 6

5. Suppose a company uses the exact number of minutes, x, to calculate the total cost of a

phone call. Write a linear function to represent the cost, f(x) , of a phone call.

6. Customers are charged by the hour to park in a lot. The length of time that a car is parked is

rounded up to the nearest hour. The function for the cost for parking is f(x) = 6[x] where x is

the time in hours and f(x) is the cost of parking in dollars.

a. Complete the table by filling in the intervals of time, x, and the cost f(x) and also

graph the information.

x f(x)

0 < x ≤ 1 $6

1 < x ≤ 2

5 < x ≤ 6 $36

b. Use the table to find the cost of parking in the lot for 2 hours? 1.5 hours? Less than

1 hour?


Name: ____________________________________________ Date: _________________________

Lesson # 91 – Writing and Graphing Equations of Circles

*In addition to the following problems, please also complete #’s {1, 5, 6, 8, 9, 10, 15, 22, 25,


(1) Sketch a graph of the circle with the equation

(𝑥 − 3)2 + (𝑦 − 1)2 = 25


(𝑥 + 6)2 + (𝑦 − 3)2 = 4


(𝑥 − 7)2 + (𝑦 + 4)2 = 9

(4) Write an equation for a circle with a center of (−4,6) and a radius of 7

(5) Write an equation for a circle with a center of (3, −9) and a radius of 10

(6) Write an equation for a circle with a center of (3, −9) and a diameter of 8

(7) Write an equation for a circle with a center of (1, 6) and another point on the circle of (5,12)

(8) Write an equation for a circle with a center of (7, −2) and another point on the circle of (−4, 2)

(9) Write an equation for a circle with a center of (−5, 4) and another point on the circle of (1, 3)

*In addition to the following problems, please also complete #’s {1, 5, 6, 8, 9, 10, 15, 22, 25,

26, 29} from the

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Name: ____________________________________________ Date: _________________________

Lesson # 92 – Arithmetic Sequences



(1) An arithmetic sequences begins as {3, 7, 11, 15, … . . } Identify the common difference and find the next three terms in the sequence

(2) An arithmetic sequences begins as {10.75, 11.50, 12.25, 13, … . . } Identify the common difference and find the next three terms in the sequence

(3) An arithmetic sequences begins as {63, 56, 49, 42, … . . } Identify the common difference and find the next three terms in the sequence

(4) An arithmetic sequences begins as {6, 7.5, 8, 9.5, … . . } Identify the common difference and find the 23rd term in the sequence

(5) An arithmetic sequences begins as {101, 95, 89, 83, … . . }

Identify the common difference and find the 37th term in the sequence

(6) An arithmetic sequences begins as {9.2, 10, 10.8, 11.6, … . . } Identify the common difference and find the 50th term in the sequence

(7) An arithmetic sequences begins as {93, 92.4, 91.8, 91.2, … . . } Identify the common difference and find the 75th term in the sequence

(8) An employee’s salary is structured such that it increases by the exact same amount every single year. The first year, the employee earned $66,700. The second year, the employee earned $68,150. Calculate the amount of money the employee will be earning during his 10th year.

(9) A runner is training for a marathon and decides to increase their mileage by the same amount each day. She runs 5 miles on day 1 and 6.25 miles on day 2. Calculate the number of miles she will run on day 7.


27, 29} from the

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Name: ____________________________________________ Date: _________________________

Lesson # 93 – Solving Compound Interest Problems Using Logarithms


30} from the textbook.

(1) $6,000 is invested into a savings account with an interest rate of 3.5%, compounded monthly. How long will it take for the money to increase to $7,000?

Use the Compound Interest Formula: 𝐴 = 𝑃(1 +𝑟

𝑛) 𝑛𝑡 and solve for t

(2) $8,500 is invested into a savings account with an interest rate of 4.4%, compounded weekly. How long will it take for the money to increase to $12,000?



(3) $4,600 is invested into a savings account with an interest rate of 1.9%, compounded continuously. How long will it take for the money to increase to $6,000?

Use the Compound Interest Formula: 𝐴 = 𝑃(𝑒)𝑟𝑡 and solve for t

(4) $9,200 is invested into a savings account with an interest rate of 2.75%, compounded continuously. How long will it take for the money to increase to $15,000?

Use the Compound Interest Formula: 𝐴 = 𝑃(𝑒)𝑟𝑡 and solve for t

(5) $7,300 is invested into a savings account with an interest rate of 6.1%, compounded quarterly. How long will it take for the money to increase to $10,000?



(6) $15,750 is invested into a savings account with an interest rate of 3.4%, compounded semi-annually. How long will it take for the money to increase to $20,000?




30} from the

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math algebra 2 week of april 13 - mysticva.entest.org - grades 9_ 10_ and 11 algebra 2... · math...

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