algebra 2 s1 syllabus - plano independent school district · syllabus for algebra 2 – semester 1...
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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
Unit Course Content and Assignments
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)
Unit Course Content and Assignments
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
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 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
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 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
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 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
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.
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
MTH302A: Unit: Numbers, Expressions, and Equations
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
MTH302A: Unit: Numbers, Expressions, and Equations
Foundations
Sets of Numbers
MTH302A: Unit: Linear Equations and Systems
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
MTH302A: Unit: Linear Equations and Systems
Graphs of Lines
Writing Equations of Lines
MTH302A: Unit: Radicals and Complex Numbers
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
MTH302B: Unit: Statistics
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
MTH302B: Unit: Statistics
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
MTH302A: Unit: Polynomials and Power Functions
Power Functions
MTH302A: Unit: Rational Equations
Graphing Rational Functions
MTH302B: Unit: Exponents and Logarithms
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: Exponents and Logarithms
Graphing Logarithmic Functions
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
MTH302A: Unit: Functions
Function Inverses
MTH302B: Unit: Appendix
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.
The student is expected to:
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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
MTH302A: Unit: Linear Equations and Systems
Systems of Linear Equations
Applications: Linear Systems
MTH302B: Unit: Appendix
Linear/Quadratic Systems
3.B solve systems of three linear equations in three variables by using Gaussian
elimination, technology with matrices, and substitution;Partial
MTH302A: Unit: Linear Equations and Systems
Systems of Linear Equations
Applications: Linear Systems
MTH302B: Unit: Appendix
Linear/Quadratic Systems
Teachers will supplement the curriculum to
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
MTH302B: Unit: Appendix
Linear/Quadratic Systems
3.D determine the reasonableness of solutions to systems of a linear equation
and a quadratic equation in two variables;Full
MTH302B: Unit: Appendix
Linear/Quadratic Systems
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
MTH302A: Unit: Quadratic Functions
Properties of Quadratic Functions
Applications: 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
Graphing Rational Functions
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
MTH302A: Unit: Quadratic Functions
Graphing Quadratic Functions
Applications: Quadratic Functions
4.E formulate quadratic and square root equations using technology given a table
of data;Full
MTH302A: Unit: Radicals and Complex Numbers
Solving Radical Equations
MTH302A: Unit: Quadratic Functions
Applications: Quadratic Functions
4.F solve quadratic and square root equations; Full
MTH302A: Unit: Radicals and Complex Numbers
Solving Radical Equations
MTH302A: Unit: Quadratic Functions
Applications: Quadratic Functions
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.
The student is expected to:
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:
Page 3 of 6
TX Algebra II
4.G identify extraneous solutions of square root equations; and FullMTH302A: Unit: Radicals and Complex Numbers
Solving Radical Equations
4.H solve quadratic inequalities. None
Teachers will supplement the curriculum to
provide students opportunities to solve
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
MTH302A: Unit: Functions
Function Equations
Absolute Value Functions
MTH302A: Unit: Polynomials and Power Functions
Power Functions
MTH302A: Unit: Rational Equations
Graphing Rational Functions
MTH302B: Unit: Exponents and Logarithms
Graphing Logarithmic Functions
5.B formulate exponential and logarithmic equations that model real-world
situations, including exponential relationships written in recursive notation;Full
MTH302B: Unit: Exponents and Logarithms
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
MTH302B: Unit: Exponents and Logarithms
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
MTH302B: Unit: Exponents and Logarithms
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 ;
FullMTH302A: Unit: Rational Equations
Graphing Rational Functions
6.B solve cube root equations that have real roots; FullMTH302A: Unit: Radicals and Complex Numbers
Solving Radical Equations
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
Absolute Value 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.
The student is expected to:
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.
The student is expected to:
Page 4 of 6
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 ;
FullMTH302A: Unit: Rational Equations
Graphing Rational Functions
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
FullMTH302A: Unit: Rational Equations
Graphing Rational Functions
6.L formulate and solve equations involving inverse variation. Partial
MTH302A: Unit: Rational Equations
Reciprocal Power Functions
Graphing Rational Functions
Teachers will supplement the curriculum to
provide students opportunities to solve
equations involving inverse variation.
7.A add, subtract, and multiply complex numbers; PartialMTH302A: Unit: Radicals and Complex Numbers
Complex Numbers
Teachers will supplement the curriculum to
provide students opportunities to multiply
complex numbers.
7.B add, subtract, and multiply polynomials; Full
MTH302A: Unit: Polynomials and Power Functions
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
MTH302B: Unit: Solving and Graphing Polynomials
Polynomial Long Division
Synthetic Division
Teachers will supplement the curriculum to
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
MTH302B: Unit: Solving and Graphing Polynomials
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
MTH302A: Unit: Polynomials and Power Functions
Factoring Patterns
MTH302B: Unit: Solving and Graphing Polynomials
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
MTH302A: Unit: Rational Equations
Operations with Rational Expressions, Part 1
Operations with Rational Expressions, Part 2
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.
The student is expected to:
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TX Algebra II
7.H solve equations involving rational exponents; and FullMTH302A: Unit: Radicals and Complex Numbers
Solving Radical Equations
7.I write the domain and range of a function in interval notation, inequalities, and
set notation.Full
MTH302A: Unit: Functions
Function Basics
MTH302A: Unit: Rational Equations
Graphing Rational Functions
8.A analyze data to select the appropriate model from among linear, quadratic,
and exponential models;Full
MTH302B: Unit: Statistics
Lines of Best Fit
MTH302B: Unit: Appendix
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
Teachers will supplement the curriculum to
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
MTH302A: Unit: Linear Equations and Systems
Applications: Linear Equations
Discuss: Linear Equations in the Real World
MTH302A: Unit: Quadratic Functions
Applications: Quadratic Functions
MTH302B: Unit: Exponents and Logarithms
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.
The student is expected to:
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