Advanced Algebra and Trigonometry -â First N

Advanced Algebra and Trigonometry -‐ First Nine Weeks 2013-‐2014 

Textbook: Pearson Prentice Hall Algebra and Trigonometry, 4 th edition by Robert F. Blitzer 

Curriculum Coverage in Mathematics for the 2013-14 School Year as Outlined by TNCore (TN transition to Common Core) 

NOTE from the Tennessee Mathematics Standards: This course is designed as an alternative to the Pre-Calculus course 

and it is not intended for students to take both courses while in high school due to the overlap in content. Students choosing 

this course would be less likely to enroll in a STEM Calculus course upon entering college. However, this course will 

provide a foundation for students entering a business application Calculus course or below. 

From the Common Core State Standards for Mathematics: 

The high school standards specify the mathematics that all students should study in order to be college and career ready. 

Additional mathematics that students should learn in order to take advanced courses such as calculus, advanced statistics, or 

discrete mathematics is indicated by (+), as in this example: 

(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary 

numbers). 

All standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students. 

Standards with a (+) symbol may also appear in courses intended for all students. 

The Standards for Mathematical Practice 

MP1. Make sense of problems MP2. Reason abstractly and 

and persevere in solving them. quantitatively. 

MP5. Use appropriate tools 

strategically. 

MP6. Attend to precision. 

MP3. Construct viable 

arguments and critique the 

reasoning of others. 

MP7. Look for and make use of 

structure. 

MP4. Model with mathematics. 

MP8. Look for and express 

regularity in repeated 

reasoning. 

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Common Core State Standards Course Level Expectations (CLE’s) Content & TASKs 

Chapter 1 – Equations and Inequalities 

(Allow 3 weeks for instruction, review, and assessment) 

N-CN Perform Arithmetic Operations with 

Complex Numbers 

N-Q Reason Quantitatively and Use Units 

to Solve Problems 

A-REI Solve Equations and Inequalities in 

One Variable 

F-LE Construct and Compare Linear, 

Quadratic, and Exponential Models and 

Solve Problems 

CLE 3124.1.1 Use mathematical language, symbols, 

definitions, proofs and counterexamples correctly and 

precisely in mathematical reasoning. 

CLE 3124.1.3 Develop inductive and deductive reasoning 

to independently make and evaluate mathematical 

arguments and construct appropriate proofs; include 

various types of reasoning, logic, and intuition. 

CLE 3124.3.4 Solve nonlinear inequalities (quadratic, 

trigonometric, conic, exponential, and logarithmic). 

CLE 3124.3.5 Solve problems by converting the given 

verbal information into an appropriate mathematical model 

involving equations or systems of equations; apply 

appropriate techniques to analyze these mathematical 

models; and interpret the solution obtained in written form 

using appropriate units of measurement. 

CLE 3124.1.6 Employ reading and writing to recognize the 

major themes of mathematical processes, the historical 

development of mathematics, and the connections between 

mathematics and the real world. 

CLE 3124.1.7 Use technologies appropriately to develop 

understanding of abstract mathematical ideas, to facilitate 

problem solving, and to produce accurate and reliable 

models. 

CLE 3124.2.3 Develop the arithmetic and properties of the 

complex numbers 

1.1 Graphs and Graphing Utilities 

1.2 Linear and Rational Equations 

1.3 Models and Applications (Optional) 

1.4 Complex Numbers 

1.5 Quadratic Equations 

1.6 Other Equations 

1.7 Linear and Absolute Value 

Inequalities 

Algebra Lab - Solving Linear 

Equations 

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F-IF Understand the Concept of a Function 

and Use Function Notation 

F-BF Build a Function that Models the 

Relationship Between Two Quantities 

S-ID Interpret Linear Models 

Chapter 2 – Functions and Graphs 


CLE 3124.1.1 Use mathematical language, symbols, 

definitions, proofs and counterexamples correctly and 

precisely in mathematical reasoning. 

CLE 3124.3.2 Identify or analyze the distinguishing 

properties of exponential, polynomial, logarithmic, 

trigonometric, and rational functions from tables, graphs, 

and equations. 

CLE 3124.1.7 Use technologies appropriately to develop 

understanding of abstract mathematical ideas, to facilitate 

problem solving, and to produce accurate and reliable 

models. 

CLE 3124.5.1 Create scatter plots, analyze patterns and 

describe relationships that exist in a set of linear and nonlinear 

paired data to make predictions. 

CLE 3124.5.3 Examine all aspects of using regression 

equations to act as a model for a real world situation, 

including interpolation, extrapolation and validity of 

model. 

CLE 3124.2.1 Understand the capabilities and the 

limitations of calculators and computers in solving 

problems. 

2.1 Functions and Their Graphs 

Domain and Range of Common 

Functions 

2.2 More Functions 

TI-84 Activity: Functions & Graphs 

2.3 Linear Functions and Slope 

TI-84 Activity: Slope 

2.4 More on Slope 

2.5 Transformations of Functions 

2.6 Composite Functions 

Video Tutorial Using TI-84 

2.7 Inverse Functions 

2.8 Distance/Midpoint Formulas 

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F-LE Construct and Compare Linear, 

Quadratic, and Exponential Models and 

Solve Problems 

A-APR Understand the Relationship 

Between Zeros and Factors of Polynomials 

Chapter 3 – Polynomial and Rational Functions 


CLE 3124.1.3 Develop inductive and deductive reasoning 

to independently make and evaluate mathematical 

arguments and construct appropriate proofs; include 

various types of reasoning, logic, and intuition. 

CLE 3124.1.2 Apply and adapt a variety of appropriate 

strategies to problem solving, including testing cases, 

estimation, and then checking induced errors and the 

reasonableness of the solution. 

CLE 3124.1.4 Move flexibly between multiple 

representations (contextual, physical, written, verbal, 

iconic/pictorial, graphical, tabular, and symbolic), to solve 

problems, to model mathematical ideas, and to 

communicate solution strategies. 

3.1 Quadratic Functions 

3.2 Polynomial Functions & Graphs 

TI-84 Activity Lesson 3.2 

TASK - Polynomial Graphs 

3.3 Dividing Polynomials – 

Remainder & Factor Theorems 

3.4 Zeros of Polynomial Functions 

TI-84 Activity Lesson 3.4 

3.5 Rational Functions and Graphs 

Sketching Graphs 

TASK – Asymptotes and Rational 

Functions 

3.6 Polynomial and Rational Inequalities 

• Solving Non-linear Inequalities 

• Polynomial and Rational Inequalities 

3.7 Modeling Variation (Optional) 

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Resource Toolbox: 

Formative Assessment 

http://discoveryeducation.com 

Pearson 

Create a free account to access PowerPoints and assessment resources 

for the Blitzer Algebra and Trigonometry, 4 th edition Textbook: 

http://www.pearsonhighered.com/educator/product/Algebra-and- 

Trigonometry/9780321559852.page 

Create a free account for online access to textbook: 

http://instructors.coursesmart.com/login 

Textbook with problems worked out (register for free): 

http://www.slader.com/textbook/9780321559852-blitzer-algebra-andtrigonometry-4th-edition/ 

Common Core 

Common Core Standards - Mathematics 

Common Core Standards - Mathematics Appendix A 

TN Core 

PARCC 

Achieve 

http://www.ccsstoolbox.org/ 

Technology-Graphing Calculators 

http://mathbits.com/MathBits/TISection/Openpage.htm 

http://www.ti-mathnspired.com 

http://education.ti.com/educationportal/activityexchange/activity 

http://www.casioeducation.com/educators 

http://www.atomiclearning.com/ti_84 

ACT Practice 

http://www.actstudent.org/sampletest/index.html 

Tennessee Electronic Library – Click on Test Prep: www.tntel.tnsos.org 

Additional On-Line Resources 

http://www.teachertube.com/ 

https://www.teachingchannel.org/videos?default=1 

http://www.kutasoftware.com/free.html 

http://illuminations.nctm.org/ 

http://www.thefutureschannel.com/index.php 

http://www.stemresources.com/ 

http://jc-schools.net/dynamic/math/math12.html 

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