Math Algebra 2 Week of May 4 - mysticva.entest.org › Math - Grades 9_ 10...• All: Complete 15...

Math – Algebra 2 – Week of May 4

Assignments

There is not an accuracy-assessed assignment this week. However, there will be one next week. The study guide attached to the end of this packet will prepare you for it. The study guide itself will be collected next week as a non-accuracy homework the day before the accuracy assessment.

Monday, May 4

• All: Watch video on Lesson 100 in Microsoft Teams

• All: Complete 15 min. on IXL on Algebra 2

topic N.1 Rational functions: asymptotes and

excluded values (graded as class work)

• CP: Complete Lesson 100 worksheet (below)

• H and HH: Complete Lesson 100: 1-30 from

textbook

Tuesday, May 5

• All: Complete 15 min. on IXL on Algebra 2

topic K.14 Match polynomials and graphs

(graded as class work)

textbook

Wednesday, May 6

• All: Complete 15 min. on IXL on Algebra 2 topic S.8 Solve logarithmic equations II (graded as class work)

textbook

Thursday, May 7

• All: Complete Lesson 103 class work (below under Lesson 102 worksheet)

• H and HH: Complete Lesson 103: 1-30 from textbook

Friday, May 8

• All: Complete 10 min. each on IXL on Algebra 2 topics P.1 Function transformation rules and P.2 Translations of functions (graded as class work)

• H and HH: Complete Lesson 104: 1-30 from textbook

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.

Ms. Reynolds – Algebra 2 Homework

Name: ____________________________________________ Date: _________________________

Lesson # 100 – Graphing Rational Functions

*In addition to the following problems, please also complete #’s {1, 4, 8, 9, 13, 14, 19, 24,

27, 29, 30} from the textbook.

(1) Identify the vertical and horizontal asymptotes of the following rational function:

𝑓(𝑥) =5

𝑥 + 8

𝑓(𝑥) =3𝑥

𝑥2 − 16

𝑓(𝑥) =𝑥 + 4

2𝑥 − 1

𝑓(𝑥) =3𝑥 + 2

4𝑥 + 8

𝑓(𝑥) =𝑥 + 1

𝑥2 + 5𝑥 + 6

𝑓(𝑥) =9𝑥2 − 16

𝑥2 − 7𝑥 − 30

𝑓(𝑥) =𝑥 + 3

𝑥2 + 8𝑥 + 15

𝑓(𝑥) =𝑥2 + 8𝑥 + 12

𝑥2 + 𝑥 − 30

27, 29, 30} from the

textbook.____________________________________________________________________________

_____________________________________________________________________________________

Name: ____________________________________________ Date: _________________________

Lesson # 101 – End Behavior of Polynomial Functions

(1) Use the sign of the leading coefficient and the degree of the polynomial to describe the end behavior of the function 𝑃(𝑥) = 𝑥3 + 2𝑥2 − 𝑥 − 1

(2) Use the sign of the leading coefficient and the degree of the polynomial to describe the end behavior of the function

𝑃(𝑥) = −2𝑥4 + 𝑥3 + 6𝑥2 + 5𝑥 − 1

𝑃(𝑥) = −3𝑥5 − 𝑥4 + 7𝑥3 − 2𝑥2 + 5𝑥 + 4

𝑃(𝑥) = 3𝑥6 + 2𝑥5 − 𝑥4 + 3𝑥3 − 6𝑥2 + 𝑥 + 1

_____________________________________________________________________________________

Name: ____________________________________________ Date: _________________________

Lesson # 102 – Solving Logarithmic Equations

25, 26, 29, 30}from the textbook.

(1) Solve the following logarithmic equation for 𝑥 by first converting it into exponential form: 𝑙𝑜𝑔5(3𝑥) = 2

(2) Solve the following logarithmic equation for 𝑥 by first converting it into exponential form: 𝑙𝑜𝑔2(𝑥 + 7) = 6

(3) Solve the following logarithmic equation for 𝑥 by first converting it into exponential form: 𝑙𝑜𝑔𝑥(343) = 3

(4) Solve the following logarithmic equation for 𝑥 by first converting it into exponential form: 𝑙𝑜𝑔4(2𝑥 + 20) = 4

(5) Solve the following logarithmic equation for 𝑥 by first simplifying it using log properties and

then converting it into exponential form: 𝑙𝑜𝑔3(𝑥) + 𝑙𝑜𝑔3(3𝑥) = 2

(6) Solve the following logarithmic equation for 𝑥 by first simplifying it using log properties and then converting it into exponential form: 𝑙𝑜𝑔4(𝑥) − 𝑙𝑜𝑔4(2) = 3

(7) Solve the following logarithmic equation for 𝑥 by first simplifying it using log properties and then converting it into exponential form: 𝑙𝑜𝑔2(𝑥) + 𝑙𝑜𝑔2(𝑥 + 3) = 2

(8) Solve the following logarithmic equation for 𝑥 by first simplifying it using log properties and then converting it into exponential form: 𝑙𝑜𝑔10(200𝑥 + 50) − 𝑙𝑜𝑔10(𝑥) = 3

*In addition to the following problems, please also complete #’s {3, 9, 10, 13, 15, 17, 22, 23, 25, 26, 29, 30}from the textbook. _____________________________________________________________________________________

_____________________________________________________________________________________

____________________________________________________________________________________

Notes: Lesson 103 Name:_______________________ Date:______________

Lesson 103 Classwork

1. Write down the period and asymptotes of

a. y = 2 csc(x) b. y = sec (2x)

2. Graph y = 2 csc (2x)

3. Write down y = 4 sec(2x) and y =4 cos (2x) in the same set of axis.

Name: ____________________________________________ Date: _________________________

Lesson # 103 – Graphing Reciprocal Trig Functions

26, 27}from the textbook.

(1) Identify the period and amplitude of the following reciprocal trig function 𝑦 = 3csc (4𝑥)

(2) Identify the period and amplitude of the following reciprocal trig function 𝑦 = 2csc (3𝑥)

(3) Identify the period and amplitude of the following reciprocal trig function

𝑦 = 6csc (1

2𝑥)

(4) Identify the period and amplitude of the following reciprocal trig function 𝑦 = 5cot (6𝑥)

(5) Graph one cycle of the reciprocal trig function 𝑦 = 4sec (x)

(6) Graph one cycle of the reciprocal trig function 𝑦 = 2 csc(x) − 3

(7) Graph one cycle of the reciprocal trig function 𝑦 = cot(x) + 5

(8) Graph one cycle of the reciprocal trig function 𝑦 = 3csc (2x)

26, 27}from the

textbook.____________________________________________________________________________

_____________________________________________________________________________________

Name: ____________________________________________ Date: _________________________

Lesson # 104 – Graphing Transformations of Functions

25}from the textbook.

Given the following three parent graphs, please sketch a graph of the given transformation function

𝐹(𝑥) = 𝑥2 𝐺(𝑥) = √𝑥 𝐻(𝑥) = 𝑒𝑥

(1) 𝑓(𝑥) = √𝑥 + 4

(2) 𝑓(𝑥) = (𝑥 − 3)2 + 5

(3) 𝑓(𝑥) = 𝑒𝑥 − 2

(4) 𝑓(𝑥) = (𝑥 + 1)2 − 4

(5) 𝑓(𝑥) = √𝑥 + 3 + 6

(6) 𝑓(𝑥) = 𝑒−𝑥

(7) 𝑓(𝑥) = −√𝑥

(8) 𝑓(𝑥) = (𝑥 + 8)2 − 2

25}from the textbook.

_____________________________________________________________________________________

____________________________________________________________________________________

Student Name (Please Print):_______________________________________________________

Mystic Valley Regional Charter School

Assessment - Week of 5/4 Study Guide

Course: Algebra II Lessons Covered: 1 – 95

Required: Define and / or explain the following topics:

Lesson 11: • Give the classification names for a polynomial of degree 1,2,3,4,5 as well as 1 term, 2 terms, and 3 terms

Lesson 28: • What is an excluded value?

Lesson 32: • How do you find the inverse of a 2x2 matrix without using a calculator?

Lesson 57: • Explain “Half-Life”

Lesson 72: • Give the four properties of Natural Logs

Lesson 77: • Heron’s Formula for the area of a triangle

Lesson 79: • Definition of a “piecewise function”

Lesson 80: • Give the percentages that make up the “Empirical Rule” for a normal distribution

Lesson 87: • Explain the “Change of Base” property of logarithms

• What is a logarithm with a base of e called?

Lesson 89: • Formula for the Vertex of a Quadratic Function

• Explain how to graph a quadratic inequality

Lesson 90: • Where are the asymptotes located on the parent graph of the tangent function?

• Explain the transformations y = f(x+k) and y = f(x-k)

Investigation 9: • Explain the difference between the Greatest Integer Step Function and the Least Integer Step Function including

their notations

Lesson 91: • General Formula for the Equation of a Circle centered at (h,k) with a radius of r

Lesson 92: • General Formula for the Nth term of an arithmetic sequence

Lesson 94: • Explain what “critical points” of a rational expression are

*LESSON PRACTICE PROBLEMS*

Lesson 11:

Lesson 28:

Lesson 32:

Lesson 40:

Lesson 57:

Lesson 72:

Lesson 77:

Lesson 79:

Lesson 80:

Lesson 83:

Lesson 84:

Lesson 87:

Lesson 89:

Lesson 90:

(B) *Change the problem to the ” y = Tan(x-π)”

Investigation 9:

Lesson 91:

Lesson 92:

Lesson 94:

Lesson 95:

Math Algebra 2 Week of May 4 - mysticva.entest.org › Math - Grades 9_ 10...• All: Complete 15...

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