Algebra 2 S1 Syllabus - Plano Independent School District · Syllabus for Algebra 2 – Semester 1 Course Number: 154001 Course Title: Algebra 2 Semester 1 Communications All communication

Syllabus for Algebra 2 – Semester 1

Course Number: 154001 Course Title: Algebra 2 Semester 1 Communications All communication with your teacher will be through the utilization of electronic tools such as email and discussion boards. Your assignments will be submitted directly into the Blackboard Learning Management System. You will receive a Welcome email from your teacher when your course is ready for you. You may email your teacher at any time with questions that you might have.

Course Description In this course students will use their prior knowledge from previous courses to learn and apply Algebra II skills. This course will include topics such as functions, radical functions, rational functions, exponential and logarithmic functions, trigonometry, geometry, conic sections, systems of equations, probability, and statistics. Students will apply the skills that they learn in this course to real world situations.

Course Objectives and Student Learning Outcomes 1. Understand the major topics in Algebra II2. Identify how the major topics in Algebra II relate to real world situations.3. Apply the topics in Algebra II to various problems.4. Explain how the topics in Algebra II relate to the greater context of mathematics.

Prerequisites Successful completion of Algebra 1 is a prerequisite for the Algebra 2 course. Technical Requirements Browsers: Internet Explorer 8 or 9 (Windows) (Must not be in compatibility mode) Safari 4 or higher (Mac OSX) Firefox Extended Support Release (ESR) is recommended for stability, but both the ESR and final release channel are supported (both Mac and Windows) Google Chrome stable channel (Windows only - not supported on Mac at this time due to Java incompatibility)

The following requirements must also be met:

Course Materials All course materials are available within the Learning Management System (Blackboard) or on websites specified within the course.

Course Management Policies The instructor adapts to the district IEP whenever instructionally and technically possible.

As a first step in collecting all of the information that is needed to work with each student effectively, we ask that the student, or the receiving district site coordinator on the student’s behalf, log onto the website and complete the online registration process. Please complete this registration process as soon as possible to allow time to set up the course and send the student the information to access it and begin working.

Academic Integrity/Copyright Policy Academic integrity violations, plagiarism, and copyright violations will not be tolerated. The Introductory Unit of your course will teach you the details of PISD’s expectations on such topics. Your teacher will utilize plagiarism check tools throughout the course.

Online Etiquette (“Netiquette”) Netiquette is meant to help you communicate professionally and effectively in an online collaborative setting. Students will follow all guidelines relating to internet etiquette and will communicate respectfully with all people. The Introductory Unit of your course will teach you the details of PISD’s expectations on such topics. Your course will contain discussion boards, journals, blogs, and/or wikis where your “netiquette” is important.

Privacy Policy Plano ISD’s FERPA policy may be found at http://pol.tasb.org/Policy/Code/312?filter=FL

Popup blocking must be disabled JavaScript must be enabled

Operating Systems:

Microsoft Windows XP or higher (Vista, 7) Macintosh OS X 10.5 or higher (10.6, 10.7)

RAM: 512MB or higher

Resolution: 1024 X 576 or higher

Media: Soundcard and Speakers/Headphones Microphone required for certain courses

Plugins: Sun Java 7 Flash Player Version 10 or higher QuickTime Version 7 or higher Real Player required for certain courses Jaws 11 or higher (for accessibility)

Grading and Evaluation The Algebra 2 course has a total of 1668 possible points. The student’s grade will be calculated by dividing the total number of points that he/she earns, divided by 1668. Example: if the student accumulates 1522 points throughout the course, his/her grade will be:

1522 ÷ 1668 = 0.912; this yields a grade of 91%.

Assessments All courses contain a number of self-assessments (allowing the student to gauge his/her understanding of the material before proceeding to a graded assessment). Graded assessments include quizzes as well as exams.

Class Participation Every student will have a specific schedule for completing and submitting assignments and tests. Students are required to adhere to their schedule. Students must maintain consistent email communication with their teacher. Students must complete the discussion assignments and collaborative activities throughout the course. Students who are not adhering to their course schedule, or students who are not maintaining the basic requirements of participation, such as maintaining email communication with their teacher, may be dropped from the course.

Grading Scale 90 – 100 = A 80 – 89 = B 70 – 79 = C Below 70 – Not Passing Drop Policy Students may choose to drop the course within 15 days from their start date without penalty. Notify your school’s/district’s site coordinator to have him/her indicate such a drop situation to TxVSN.

Unit Course Content and Assignments

Unit 1 Linear and Quadratic Functions

Unit Objectives

1. Define and analyze functions, relations, and inverse functions andrelations.

2. Determine domain and range of functions and relations.

3. Solve and graph linear equations and inequalities.

4. Find and apply slope of a line.

5. Write and graph the equation of a line.

6. Graph the function f(x) = x2.

7. Investigate the effects of changes each of the three values (a, h, k)make on the parent function.

8. Solve quadratic equations.

9. Analyze the discriminant.

10. Graph quadratic functions including zeros, minimum and maximumvalues.

11. Determine quadratic equations given specific information.

Assignments

Section A: Functions and Relations

Section Warm-Up

Think & Click: Function vs. Relation Examples

Think & Click: Relations vs. Functions

Multiple Choice: Inverse and Function Notation

Self-Check: Domain and Range

Think & Click: Operations With and Composition of Functions

Section B: Solving Linear Equations and Inequalities

Section Warm-Up

Example: Solving Linear Equations

Think & Click: Solving Linear Equations

Think & Click: Compound Inequalities

Flashcards: Absolute Values

Section C: Writing and Graphing Linear Functions

Section Warm-Up


Matching: Review of Slope Activity

Think & Click: Writing Equations

Think & Click: Graphing Equations and Inequalities

Writing Assignment: Graphing Linear Functions

Section D: Graphing Quadratic Functions

Section Warm-Up

Tutorial: Graphing f(x) = a(x – h)2 + k

Flashcards: Graphing Quadratic Functions

Section E: Solving Quadratic Functions

Section Warm-Up

Multiple Choice: Solving Quadratic Equations by Factoring

Think & Click: The Discriminant

Tutorial:

Solving Quadratic Equations Using

Completing the Square

Think & Click: Completing the Square

Section F: Graphing Zeros and Min/Max Values

Section Warm-Up

Matching: Zeros of Quadratic Functions

Example: Finding the Vertex of a Function

Think & Click: Graphing Quadratic Equations Using Zeros and the Vertex

Think & Click: Maximum and Minimum Problems

Section G: Determining a Quadratic Function

Section Warm-Up

Tutorial: Writing Quadratic Functions Using Roots and the Vertex

Think & Click: Writing Quadratic Equations Using Roots and the Vertex

Think & Click: Real World Applications of Quadratic Functions

Assessments

Functions and Relations Quiz (24)

Solving Linear Equations and Inequalities Quiz (25)


Writing Assignment: Graphing Linear Functions (50)

Writing and Graphing Linear Functions Quiz (40)

Graphing Quadratic Functions Quiz (20)

Solving Quadratic Functions Quiz (24)

Graphing Zeros and Min/Max Values Quiz (27)

Determining a Quadratic Function Quiz (26)

Linear and Quadratic Functions Unit Exam (100)

Discussion

Math Tutoring Lab – The Math Tutoring Lab is a discussion that can be found in each unit. Visit the Math Tutoring Lab and post any content related questions for your teacher or for the other students in the course. Please monitor the discussion on a daily basis and answer questions when you can. Use this tool as often as possible and work together to understand the content.

Unit 2 Radical Functions

Unit Objectives

1. Apply the Laws of Exponents.

2. Apply rational exponents.

3. Graph the parent functions ( )f x x and 3( )f x x .

4. Investigate how transformations affect these parent functions.

5. Determine the domain and range of radical functions.

6. Solve radical equations and inequalities.

Assignments

Section A: Roots and Properties of Exponents

Section Warm-up

Think and Click: Analyze Laws of Exponents

Example 1: Laws of Exponents

Example 2: Laws of Exponents

Think and Click: Laws of Exponents

Tutorial: Rational Exponents

Section B: Graphing Radical Functions and Domain and Range

Section Warm-up

Avatar: Graphing Radical Functions

Multiple Choice: Graphing Square and Cube Roots

Think and Click: Domain and Range of Square Root and Cube Root Functions

Writing Assignment: Graphing Radical Functions and Domain and Range

Section C: Solving Radical Equations and Inequalities

Section Warm-up

Think and Click: Solutions to Radical Equations

Tutorial: Solving Radical Equations Algebraically

Example: Solving Radical Equations

Writing Assignment: Solving Radical Functions

Flashcards: Solving Radical Equations

Think and Click: Solving Radical Inequalities

Assessments

Roots and Properties of Exponents Quiz (20)

Writing Assignment: Graphing Radical Functions and Domain and Range (50)

Graphing Radical Functions and Domain and Range Quiz (20)

Writing Assignment: Solving Radical Functions (50)

Solving Radical Equations and Inequalities Quiz (20)

Radical Functions Unit Exam (100)

Discussion


Unit 3 Rational Functions

Unit Objectives

1. Determine if a given set of data is directly or inversely related.

2. Determine the constant of variation.

3. Represent direct and inverse variations algebraically.

4. Represent direct and inverse variations graphically.

5. Make predictions about values based on the equation found for inverse or direct variation.

6. Recognize and graph the parent function 1( )f xx

.

7. Investigate the effects of changes each of the three values (a, h, k) make on the parent function.

8. Based on the investigation, describe the changes that are made.

9. Predict what a graph will look like given various values of a, h, and k.

10. Determine the domain and range of a given rational function.

11. Determine if a given value is a solution to a rational equation.

12. Solve a rational equation algebraically.

13. Estimate the value of the solution to a rational equation using a graph.

14. Determine the solution set for a rational inequality using a graph, table, or algebraic methods.

Assignments

Section A: Direct and Inverse Variation

Section Warm-up

Bucket Game: Direct and Inverse Variation

Tutorial: Finding the Constant of Variation

Example: Finding Direct Variation Equations

Think and Click: Predicting Values

Section B: Graphing Rational Functions and Domain and Range

Section Warm-up

Bucket Game: Rational Functions

Example: Transformations of Rational Functions

Multiple Choice: Transformations of Rational Functions

Avatar: Domain and Range of Rational Functions

Think and Click: Domain and Range of Rational Functions

Tutorial: Polynomial Long Division

Think and Click: Polynomial Long Division

Writing Assignment: Graphing Rational Functions and Domain and Range

Section C: Solving Rational Functions and Inequalities

Section Warm-up

Think and Click: Solutions to Rational Equations

Tutorial: Solving Rational Equations

Think and Click: Solving Rational Equations

Writing Assignment: Solving Rational Functions

Example: Solving Rational Inequalities

Flashcards: Solving Rational Inequalities

Assessments

Direct and Inverse Variation Quiz (20)

Writing Assignment: Graphing Rational Functions and Domain and Range (50)

Graphing Rational Functions and Domain and Range Quiz (22)

Writing Assignment: Solving Rational Functions (50)

Solving Rational Equations and Inequalities Quiz (26)

Rational Functions Unit Exam (100)

Discussion


Unit 4 Exponential and Logarithmic Functions

Unit Objectives

1. Explore exponential functions and their inverses.

2. Define logarithmic functions based on the comparison of exponential and logarithmic functions.

3. Translate an exponential function into its corresponding logarithmic function.

4. Understand properties of logarithms as they relate to exponents.

5. Simplify logarithmic expressions using properties of logarithms.

6. Identify and sketch the parent function y = bx.

7. Investigate the effects of changes each of the four values (a, c, h, and k) make on the parent function.

8. Based on the investigation, describe the changes that are made.

9. Predict what a graph will look like given various values of a, c, h, and k.

10. Determine the domain and range of an exponential function.

11. Interpret real life exponential growth/decay problems.

12. Graph exponential growth/decay.

13. Identify and sketch the parent function y = log(x).

14. Investigate the effects of changes each of the three values (a, h, k) make on the parent function.

15. Predict what a graph will look like given various values of a, h, and k.

16. Determine the domain and range of a logarithmic function.

17. Determine if a value is a solution to an exponential or logarithmic equation.

18. Solve exponential and logarithmic equations algebraically.

19. Estimate the value of the solution to an exponential or logarithmic equation using a graph.

Assignments

Section A: Comparing Logarithmic and Exponential Functions

Section Warm-up

Bucket Game: Exponential and Logarithmic Functions

Tutorial: Equivalent Exponential and Logarithmic Forms

Think and Click: Equivalent Exponential and Logarithmic Forms

Example: Properties of Logarithms

Think and Click: Properties of Logarithms

Section B: Graphing Exponential Functions and Domain and Range

Section Warm-up

Example: Transformations of Exponential Functions

Think and Click: Transformations of Exponential Functions

Flashcards: Domain and Range of Exponential Functions

Section C: Exponential Growth and Decay

Section Warm-up

Multiple Choice: Population Growth and Decay

Tutorial: Compound Interest

Think and Click: Compound Interest

Example: Continuous Compounding Formula

Flashcards: Continuous Compounding Formula

Section D: Graphing Logarithmic Functions and Domain and Range

Section Warm-up

Example: Transformations of Logarithmic Functions

E-Writing Assignment: Graphing Exponential and Logarithmic Functions

Think and Click: Domain and Range of Logarithmic Functions

Section E: Solving Exponential and Logarithmic Equations

Section Warm-up

Think and Click: Solutions to Exponential and Logarithmic Functions

Tutorial: Solving Exponential Equations

Flashcards: Solving Exponential Equations

Example: Solving Logarithmic Equations

Think and Click: Solving Logarithmic Equations

E-Writing Assignment: Solving Exponential and Logarithmic Functions

Assessments

Comparing Logarithmic and Exponential Functions Quiz (20)

Graphing Exponential Functions and Domain and Range Quiz (20)

Exponential Growth and Decay Quiz (26)

Writing Assignment: Graphing Exponential and Logarithmic Functions

(30)

Graphing Logarithmic Functions and Domain and Range Quiz (20)

Writing Assignment: Solving Exponential and Logarithmic Functions (50)

Solving Exponential and Logarithmic Equations Quiz (20)

Exponential and Logarithmic Functions Exam (100)

Discussion


Unit 5 Trigonometric Functions

Unit Objectives

1. Name the six trigonometric ratios of a given right triangle.

2. Solve problems using the six trigonometric functions

3. Understand the relationship between degree and radian measures.

4. Convert from degrees to radians.

5. Convert from radians to degrees.

6. Learn all basic angles in radian measure.

7. Identify and name values of three trig ratios of all basic angles in the first quadrant of the unit circle.

8. Relate the values in Quadrant 1 of the unit circle to angles in quadrants II-IV.

9. Find angles given trigonometric ratios.

10. Solve for all missing parts in a given right triangle.

11. Solve problems using right triangle trigonometry.

12. Using a graphing calculator and paper and pencil methods, generate graphs of the sine, cosine, and tangent functions.

13. Recognize the graphs of the sine, cosine, and tangent functions.

14. Define the domain and range of the sine, cosine and tangent functions.

Assignments

Section A: Right Triangle Trigonometry

Section Warm-up

Example: Identifying Trigonometric Ratios

Example: Solving Right Triangles Using Trigonometric Ratios

Flashcards: Solving Right Triangles Using Trigonometric Ratios

Section B: Basic Angles and Radian Measure

Section Warm-up

Tutorial: Converting Between Degrees and Radians

Multiple Choice: Converting Between Degrees and Radians

Think and Click: Introduction to the Unit Circle

Section C: Trigonometric Values in all Four Quadrants

Section Warm-up

Example: Finding Cosine and Sine in Quadrant I

Think and Click: Finding Cosine and Sine in Quadrant I

Example: Finding Cosine and Sine in Quadrants II-IV

Writing Assignment: The Unit Circle

Section D: Inverse Trigonometric Values

Section Warm-up

Tutorial: Finding Angles Given Trigonometric Ratios

Think and Click: Finding Angles Given Trigonometric Ratios

Example: Solving Right Triangles

Think and Click: Solving Right Triangles

Think and Click: Problems Using Right Triangle Trigonometry

Section E: Graphing Trigonometric Functions

Section Warm-up

Tutorial: Graphing the Sine Function

Example: Graphing Transformations of Trigonometric Functions

Example: Graphing a Phase Shift

Flashcards: Graphing Transformations of Trigonometric Functions

T-Writing Assignment: Graphing Trigonometric Functions

Think and Click: Domain of Trigonometric Functions

Assessments

Right Triangle Trigonometry Quiz (20)

Basic Angles and Radian Measures Quiz (20)

Writing Assignment: The Unit Circle (64)

Trigonometric Values in All Four Quadrants Quiz (24)

Inverse Trigonometric Values Quiz (20)

Writing Assignment: Graphing Trigonometric Functions (50)

Graphing Trigonometric Functions Quiz (20)

Trigonometric Functions Exam (100)

Discussion


Exam Semester 1 Exam (200)

Alignment Completed:

August 12 2016

Strand/Topic Standards Coverage Course/Units/Lessons Comments

1.A apply mathematics to problems arising in everyday life, society, and the

workplace;Full

MTH302A: Unit: Numbers, Expressions, and Equations

Evaluating Expressions

Applications: Formulas

MTH302A: Unit: Linear Equations and Systems

Applications: Linear Equations

MTH302A: Unit: Quadratic Functions

Applications: Quadratic Functions

1.B use a problem-solving model that incorporates analyzing given information,

formulating a plan or strategy, determining a solution, justifying the solution, and

evaluating the problem-solving process and the reasonableness of the solution;

Full


Solving Equations

Applications: Formulas

1.C select tools, including real objects, manipulatives, paper and pencil, and

technology as appropriate, and techniques, including mental math, estimation,

and number sense as appropriate, to solve problems;

Full


Foundations

Sets of Numbers


Graphs of Lines

MTH302A: Unit: Polynomials and Power Functions

Multiplying Polynomials

MTH302A: Unit: Rational Equations

Operations with Rational Expressions, Part 1

MTH302A: Unit: Radicals and Complex Numbers

Simplifying Radical Expressions

1.D communicate mathematical ideas, reasoning, and their implications using

multiple representations, including symbols, diagrams, graphs, and language as

appropriate;

Full


Graphs of Lines

Writing Equations of Lines


Fractional Exponents and Higher Roots

MTH302B: Unit: Statistics

Lines of Best Fit

1. The student uses mathematical processes to acquire and demonstrate mathematical understanding.

The student is expected to:

Mathematical

Process

Standards

Texas Essential Knowledge and Skills for Mathematics Algebra II

Compared to TX MTH302: Algebra II TX

TX Algebra II

1.E create and use representations to organize, record, and communicate

mathematical ideas;Full

MTH302B: Unit: Solving and Graphing Polynomials

The Polynomial Remainder Theorem

MTH302B: Unit: Exponents and Logarithms

Discuss: Exponential Functions in the Real World

MTH302B: Sequences and Series

Discussion: Sequences in the Real World

1.F analyze mathematical relationships to connect and communicate

mathematical ideas; andFull

MTH302B: Unit: Counting and Probability

Independent and Dependent Events

Mutually Exclusive Events

Binomial Probability


Discuss: Statistics in the Real World

1.G display, explain, or justify mathematical ideas and arguments using precise

mathematical language in written or oral communication.Full


Frequency Distributions

The Normal Distribution

Lines of Best Fit

MTH302B: Vectors and Matrices

Discuss: Matrices and Vectors in the Real World

2.A graph the functions f(x)=√x, f(x)= 1/x, f(x)=x 3, f(x)= 3 √x, f(x)=b x , f(x)=|x|, and

f(x)=log b (x) where b is 2, 10, and e , and, when applicable, analyze the key

attributes such as domain, range, intercepts, symmetries, asymptotic behavior,

and maximum and minimum given an interval;

Full

MTH302A: Unit: Functions

Function Equations

Absolute Value Functions


Power Functions


Graphing Rational Functions


Graphing Logarithmic Functions

2.B graph and write the inverse of a function using notation such as f -1 (x) ; FullMTH302A: Unit: Functions

Function Inverses

2.C describe and analyze the relationship between a function and its inverse

(quadratic and square root, logarithmic and exponential), including the

restriction(s) on domain, which will restrict its range; and

Partial



MTH302B: Unit: Appendix

Inverse Variation

Teachers will supplement the curriculum to

provide students opportunities to describe

and analyze the relationship between a

function and its inverse (quadratic and

square root), including the restriction(s) on

domain, which will restrict its range.

2.D use the composition of two functions, including the necessary restrictions on

the domain, to determine if the functions are inverses of each other.Full


Function Inverses


Inverse Variation

Attributes of

Functions and

Their Inverses

2. The student applies mathematical processes to understand that functions have distinct key attributes and understand the relationship between a function and its inverse.


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TX Algebra II

3.A formulate systems of equations, including systems consisting of three linear

equations in three variables and systems consisting of two equations, the first

linear and the second quadratic;

Full


Systems of Linear Equations

Applications: Linear Systems


Linear/Quadratic Systems

3.B solve systems of three linear equations in three variables by using Gaussian

elimination, technology with matrices, and substitution;Partial


Systems of Linear Equations

Applications: Linear Systems




provide students opportunities to solve

systems of three linear equations in three

variables by using Gaussian elimination and

technology with matrices.

3.C solve, algebraically, systems of two equations in two variables consisting of a

linear equation and a quadratic equation;Full



3.D determine the reasonableness of solutions to systems of a linear equation

and a quadratic equation in two variables;Full



3.E formulate systems of at least two linear inequalities in two variables; FullMTH302A: Unit: Inequalities

Inequalities in Two Variables

3.F solve systems of two or more linear inequalities in two variables; and FullMTH302A: Unit: Inequalities

Systems of Linear Inequalities

3.G determine possible solutions in the solution set of systems of two or more

linear inequalities in two variables.Full

MTH302A: Unit: Inequalities

Systems of Linear Inequalities

4.A write the quadratic function given three specified points in the plane; FullMTH302A: Unit: Quadratic Functions

Properties of Quadratic Functions

4.B write the equation of a parabola using given attributes, including vertex, focus,

directrix, axis of symmetry, and direction of opening;Full


Properties of Quadratic Functions


4.C determine the effect on the graph of f(x) = √x when f(x) is replaced by af(x), f(x) + d, f(bx), and f(x - c) for specific positive and negative values of a, b, c, and

d ;

FullMTH302A: Unit: Rational Equations


4.D transform a quadratic function f(x) = ax 2 + bx + c to the form f(x) = a(x - h) 2

+ k to identify the different attributes of f(x) ;Full


Graphing Quadratic Functions


4.E formulate quadratic and square root equations using technology given a table

of data;Full


Solving Radical Equations



4.F solve quadratic and square root equations; Full





Systems of

Equations and

Inequalities

Quadratic and

Square Root

Functions,

Equations, and

Inequalities

The student applies mathematical processes to formulate systems of equations and inequalities, use a variety of methods to solve, and analyze reasonableness of solutions.


4. The student applies mathematical processes to understand that quadratic and square root functions, equations, and quadratic inequalities can be used to model situations, solve problems,

and make predictions. The student is expected to:

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TX Algebra II

4.G identify extraneous solutions of square root equations; and FullMTH302A: Unit: Radicals and Complex Numbers


4.H solve quadratic inequalities. None



quadratic inequalities

5.A determine the effects on the key attributes on the graphs of f(x) = b x and f(x) = logb (x) where b is 2, 10, and e when f(x) is replaced by af(x), f(x) + d, and f(x - c) for specific positive and negative real values of a, c , and d ;

Full


Function Equations



Power Functions





5.B formulate exponential and logarithmic equations that model real-world

situations, including exponential relationships written in recursive notation;Full


Applications: Growth and Decay

Using Logs to Solve Exponential Equations

Applications: Logarithms

MTH302B: Unit: Sequences and Series

Geometric Series

5.C rewrite exponential equations as their corresponding logarithmic equations

and logarithmic equations as their corresponding exponential equations;Full


Logarithms

5.D solve exponential equations of the form y = ab x where a is a nonzero real

number and b is greater than zero and not equal to one and single logarithmic

equations having real solutions; and

Full


Exponential Expressions and Equations, Part 1

Solving Logarithmic Equations

5.E determine the reasonableness of a solution to a logarithmic equation. FullMTH302B: Unit: Exponents and Logarithms

Solving Logarithmic Equations

6.A analyze the effect on the graphs of f(x) = x 3 and f(x) = 3 √x when f(x) is

replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real

values of a, b, c , and d ;



6.B solve cube root equations that have real roots; FullMTH302A: Unit: Radicals and Complex Numbers


6.C analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c ,

and d ;

FullMTH302A: Unit: Functions


6. The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model situations, solve

problems, and make predictions.


Exponential and

Logarithmic

Functions and

Equations

5. The student applies mathematical processes to understand that exponential and logarithmic functions can be used to model situations and solve problems.


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TX Algebra II

6.D formulate absolute value linear equations; FullMTH302A: Unit: Numbers, Expressions, and Equations

Solving Absolute Value Equations

6.E solve absolute value linear equations; FullMTH302A: Unit: Numbers, Expressions, and Equations

Solving Absolute Value Equations

6.F solve absolute value linear inequalities; FullMTH302A: Unit: Inequalities

Absolute Value Inequalities6.G analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c ,

and d ;



6.H formulate rational equations that model real-world situations; FullMTH302A: Unit: Rational Equations

Solving Rational Equations

6.I solve rational equations that have real solutions; FullMTH302A: Unit: Rational Equations

Solving Rational Equations

6.J determine the reasonableness of a solution to a rational equation; FullMTH302A: Unit: Rational Equations

Solving Rational Equations6.K determine the asymptotic restrictions on the domain of a rational function and

represent domain and range using interval notation, inequalities, and set notation;

and



6.L formulate and solve equations involving inverse variation. Partial


Reciprocal Power Functions




equations involving inverse variation.

7.A add, subtract, and multiply complex numbers; PartialMTH302A: Unit: Radicals and Complex Numbers

Complex Numbers


provide students opportunities to multiply

complex numbers.

7.B add, subtract, and multiply polynomials; Full


Working with Polynomials

Multiplying Polynomials

7.C determine the quotient of a polynomial of degree three and of degree four

when divided by a polynomial of degree one and of degree two;Partial


Polynomial Long Division

Synthetic Division


provide students opportunities to determine

the quotient of a polynomial of degree three

and of degree four when divided by a

polynomial of degree two.

7.D determine the linear factors of a polynomial function of degree three and of

degree four using algebraic methods;Full


Factoring Polynomials Completely

7.E determine linear and quadratic factors of a polynomial expression of degree

three and of degree four, including factoring the sum and difference of two cubes

and factoring by grouping;

Full


Factoring Patterns


Factors and Rational Roots

Factoring Polynomials Completely

7.F determine the sum, difference, product, and quotient of rational expressions

with integral exponents of degree one and of degree two;Full




7.G rewrite radical expressions that contain variables to equivalent forms; FullMTH302A: Unit: Radicals and Complex Numbers

Fractional Exponents and Higher Roots

Cubic, Cube

Root, Absolute

Value and

Rational

Functions,

Equations, and

Inequalities

Number and

Algebraic

Methods

7. The student applies mathematical processes to simplify and perform operations on expressions and to solve equations.


Page 5 of 6

TX Algebra II

7.H solve equations involving rational exponents; and FullMTH302A: Unit: Radicals and Complex Numbers


7.I write the domain and range of a function in interval notation, inequalities, and

set notation.Full


Function Basics



8.A analyze data to select the appropriate model from among linear, quadratic,

and exponential models;Full


Lines of Best Fit


Least Squares Regression Line

8.B use regression methods available through technology to write a linear

function, a quadratic function, and an exponential function from a given set of

data; and

PartialMTH302B: Unit: Appendix

Least Squares Regression Line


provide students opportunities to use

regression methods available through

technology to write a quadratic function and

an exponential function from a given set of

data.

8.C predict and make decisions and critical judgments from a given set of data

using linear, quadratic, and exponential models.Full


Applications: Linear Equations

Discuss: Linear Equations in the Real World




Applications: Growth and Decay

Discuss: Exponential Functions in the Real World

Data

8. The student applies mathematical processes to analyze data, select appropriate models, write corresponding functions, and make predictions.


Page 6 of 6

Documents

Algebra 2 S1 Syllabus - Plano Independent School District · Syllabus for Algebra 2 – Semester 1 Course Number: 154001 Course Title: Algebra 2 Semester 1 Communications All communication