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Algebra 3

Ms. Robin Chandler

Riverside High School



Course Description


This course offers advanced algebra topics and trigonometric concepts at a less rigorous pace.


Course Objectives


The course consists of

·         The identification of appropriate domains and ranges of functions;

·         Solving and graphing algebraic equations/functions;

·         Simplify algebraic expressions involving exponents, radicals, fractions, higher           

degree polynomials, complex numbers, and logarithms;

·         Deriving the unit circle from right triangle values

·         Use the unit circle to solve and graph trigonometric equations/functions;

·         Verifying and using trigonometric identities.


In Algebra 3, handheld calculators are required as part of instruction and assessment. Students should use a variety of representations (e.g., concrete, numerical, algorithmic, graphical), tools, and technologies to model situations to solve meaningful problems. Technologies include, but are not limited to, powerful and accessible handheld calculators, as well as computers with graphing capabilities.


Recommended Prerequisites


Students entering this course should have successfully completed Algebra 2, mastering the state-mandated Algebra 2 standards.




Holt: Pre-Calculus





Algebra 3 CP Pacing Guide


The following is a syllabus and pacing guide for Algebra 3 College Prep.  Note that this is a tentative schedule and is subject to change due to fire drills, activities, testing, and other events.




Text Ref







Class Introduction, Course Expectations




Algebra Readiness Test




How do you simplify expressions with exponents?  What are the exponent laws?

I.C.1, I.C.3, I.C.5, III.B.1



How do you add, subtract, and multiply polynomials?


7, 8, 9, 10


What is the GCF?  How do you factor trinomials?  How do you factor by grouping?  How do you factor a difference of squares?  How do you factor a sum and difference of cubes?

I.A.2, I.B.3



Review for Test




Test on A.1-A.3


13, 14, 15, 16,17


How do you simplify rational expressions?  How do you multiply and divide rational expressions?  What is the LCD?  How do you add and subtract rational expressions?  How do you simplify complex fractions?




Review for Test




Test on A.4


20, 21, 22


What is the distance formula?  What is the midpoint formula?  How do you write the equation of a circle?  How do you graph a circle?

I.A.5, II.A.2, III.A.3


(8.1 from other text)

How do you simplify radicals? 

I.B.3, I.B.4

24, 25

(8.2 from other text)

How do you multiply and divide radicals?  How do you rationalize the denominator?

I.B.3, I.B.4

26, 27

(8.3 from other text)

How do you add and subtract radicals?

I.B.3, I.B.4

28, 29


What is a rational exponent?  How do you simplify expressions with rational exponents?

I.B.3, I.B.4



Review for Test




Test on sections listed above


32, 33, 34


How do you classify a number?  How do you plot a value on a number line?  How do you plot and describe the location of an ordered pair?  What is a scatter plot?  What is the domain and range of relation?  What is function notation and how do you find function values?

I.A.1, I.A.2, II.A.2

35, 36


What is a sequence?  How do you find the pattern of the sequence?


37, 38, 39


How do you find the slope of a line?  How do you write the equation of a line?  What is slope-intercept form?  What is point-slope form?  What is unique about parallel and perpendicular lines?  What is standard form of a line? 

I.A.1, II.A.2, II. A.4



How do you model linear data?




Review for Test




Section 1.1, 1.2, 1.4, 1.5 Test


43, 44


How do you solve an equation using graphing?  What is a zero and how does it relate to the x-intercept?

II.A.1, II.A.4

45, 46, 47


How do you solve quadratic equations?  How do you complete the square?  What is the quadratic formula?  What does the discriminant tell you about your solutions?  How do you solve polynomials in quadratic form?


48, 49, 50, 51


How do you simplify expressions with absolute value?  How do you solve absolute value equations?  How do you solve radical equations?  How do you solve fractional equations?

I.A.4, I.B.4,

II.A.1, II.A.4,

III.C.2, III.C.3



Review for Test




Section 2.1, 2.2, 2.4 Test


54, 55, 56


What is interval notation?  How do you solve linear inequalities?  How do you solve quadratic inequalities?  How do you solve rational inequalities?

II.A.1, II.A.2, II.A.3,  II.A.4

57, 58


How do you solve absolute value inequalities?

II.A.2, II.A.4



Review for Test




Section 2.5-2.5A Test


61, 62, 63, 64, 65


What is a function?  How do you evaluate functions?  What is the domain for functions?  What is a piece-wise function?  What is the greatest integer function?

I.A1, I.A.2, I.A.7, II.A. 2

66, 67, 68


How do you determine if a graph is a function?  How do you describe whether the function is increasing or decreasing?    What is a local maximum or minimum?  How do you graph a piece-wise function?  How do you graph an absolute value function?  How do you graph a step function? 

I.A.1, I.A.2, I.A.7, II.A.2

69, 70, 71


What are the parts of a quadratic graph?  What is vertex form?  What is standard form?  What is intercept form?  How do you graph parabolas? 

II.A.1, II.A.2, II.B.2, III.A.1, III.A.3, III.B.1, III.B.2

72, 73, 74


What are parent functions?  How do you shift vertically and horizontally?  How does the graph reflect?  How does the graph stretch or compress? 

I.A.1, II.A.2



Review for Test




Section 3.1-3.4 Test




Review for Exam; Catch up






91, 92, 93


What is symmetry?  How can algebraically determine the symmetry of a function?   What is an odd or even function?

I.A.1, I.A.5, I.A.6

94, 95, 96


How do you find the sum and differences of two functions?  How do you find the product and quotient of two functions?  What is the composition of two functions?  How do you describe the domain of the new function? 

I.A.2, I.B.2

97, 98, 99


What is an inverse function?  How do you find the inverse function?  How do you graph inverse functions?  What is a one-to-one function?  How do you determine if the function is one-to-one?

I.B.2, I.B.3



Review for Test




Section 3.4A – 3.6 Test


102, 103, 104, 105


What is a polynomial?  How do you classify a polynomial?  How do you divide to polynomials using synthetic division?  How do you divide two polynomials using long division?  How do you find factors and zeros of a polynomial?  How many zeros does a polynomial have?


106, 107


What is the rational zero test?  How do you solve polynomial equations?

I.A.2, I.B.3, I.B.4

108, 109, 110, 111


What are the basic graphs for polynomials?  What is the end behavior of a graph?  What are the intercepts of the graphs?  What do multiplicities of zeros do to a graph?

I.A.2, I.B.3, I.B.4



Review for Test




Section 4.1-4.3 Test


114, 115, 116, 117, 118


How do you find the domain of a rational function?  How do you find the intercepts of a rational function?  What are vertical asymptotes?  What are points of discontinuity?  What are horizontal asymptotes?  What are slant asymptotes?  How do you graph rational functions? 

I.A.2, I.A.7, II.A.1, II.A.2



Review for Test




Section 4.4 Test


121, 122, 123


What are complex numbers?  What are the powers of i?  How do you add, subtract, and multiply complex numbers?  What are complex conjugates?  How do you divide two complex numbers?  How do you simplify radicals?  How do you find complex solutions to quadratic equations? 

1.A.6, II.A.3

124, 125


What is the fundamental theorem of algebra?  How do you solve polynomial equations?

1.A.6, II.A.3



Review for Test




Section 4.5-4.6 Test


128, 129, 130


What are exponential functions?  How do you graph exponential functions?  What is the number e? 

I.A.1, II.B.1, II.B.2, II.B.4

131, 132, 133, 134


How do you find compound interest?  How do you find continuous interest?  What are some applications with exponential growth?  What are some applications with exponential decay?

II.B.4, II.B.5, II.B.6, II.B.7

135, 136, 137


What is a common logarithm?  What is a natural logarithm?

I.B.3, II.B.4

138, 139


Review for Test




Section 5.2-5.4 Test



141, 142, 143


What are the basic properties of logarithms?  What is the product law of logarithms?  What is the quotient law of logarithms?  What is the power law of logarithms?  How do you use logarithm properties to simplify expressions?

I.B.3, II.B.4

144, 145


What is the change of base formula?

I.B.3, II.B.4

146, 147, 148


How do you solve exponential equations?  How do you solve logarithmic equations?




Review for Test




Section 5.5-5.6 Test


151, 152, 153


What is a degree?  How do you convert to DMS?  What are the six trig ratios? 


154, 155, 156


How do you use the Pythagorean Theorem to find a missing side of a triangle?  What are angles of elevation and depression?

I.A.3, I.A.4, II.C.1

157, 158, 159


What are coterminal angles?  What is a radian?  What is the arc length of a circle?  How do you convert to radians and vice versa? 




Review for Test




Section 6.1-6.3 Test


162, 163, 164, 165, 166


What is the unit circle?  What are the six trig functions?    What are the exact trig values for multiples of 30°, 45°, and 60° angles? 

I.A.1, I.A.3, I.A.4

167, 168, 169


What are the quotient identities?  What are the reciprocal identities?  What are the Pythagorean identities?  What are negative angle identities?  How do you simplify using these identities?




Review for Test




Section 6.4-6.5 Test




Review for Exam; Catch up




Final Exam





Required Materials:


·        Three-ring binder

·        4 notebook dividers--Please label the following sections on your dividers.

1.      Class starters

2.      Notes and Class work

3.      Homework

4.      Quizzes

·        Pencils and paper

·        Graphing Calculator (TI – 83 Plus or TI – 84 Plus)


Discipline Expectations:


1. I expect each person to be a lady/gentleman at all times.

2. Be on time and ready to begin class when the bell rings.

3. Always bring materials to class.

4. No food or drink in class.

5. Listen and follow instructions at all times.

6. Remain in your seat at all times.

7. Cell phones must not be turned on or visible.

8. Do not play calculator games.


Consequences for breaking the rules start with a student warning.  If the problems continue then I will call home and assign my after school detention. During detention the student will work on a math assignment.  All cell phones taken are turned into the grade level administrator. If you are playing calculator games, then the calculator will be taken and not returned until the next day.  Any major problems will be dealt with by the administration. My detention will be held after school at 3:35.  Not showing up for detention will result in a referral to the office.


Grading Policy:


Your nine weeks grade will be computed as follows:

                        Tests               60%

                        Quizzes          20%

                        Homework     15%

                        Classwork        5%

The final grade will be computed as follows:

                        First nine weeks        40%                Third Nine Weeks     40%

                        Second nine weeks 40%                Fourth Nine Weeks   40%

                     Midterm                       20%             Final Exam                 20%

                 First Semester Grade                     Second Semester Grade


Final Average = The Average of first semester and second semester.


The letter grade will be assigned as follows:

                        A         93-100

                        B         85-92

                        C         77-84

                        D         70-76

                        F          Below 70


Tests will be given after each chapter.  Several quizzes could be given on each chapter to help ensure understanding; these may or may not be announced.  There will be no talking during or after a test or quiz or you will receive detention. 




Homework will be assigned everyday.  Your success in this course depends on daily completion of homework.  No late homework will be accepted.  The following are guidelines that are for everyone's benefit.

1. At the top right corner of your page, PRINT your name, course and period, and specific assignment.

2. Number each problem before you work it.

3. Show every step of your work, even when it is obvious.  If there is no work you get no credit.

4. Put a box around your answer, so that is easy to find.

5. Use a pencil, blue pen, or black pen only.  All work must be neat. 

6. If you are unsure of how to work a problem you must attempt it to get credit.


Attendance/Tardy Policy:


Students are allowed 10 days of absence per year long course.  The first ten may be for any reason.  Past the tenth absence you must have a doctor's note or administrator approval or credit may be denied for the course.  Students are allowed five tardies per semester.  On the sixth tardy and thereafter the student will receive a referral.


Make-up Policy:


If you have an excused absence, then you need to make up all quizzes and tests within five days.


Notification of student progress/communication with Parent:


I will send home two progress reports each nine weeks.  Please sign and return back by the following Monday.  I am also listing the dates that the school progress reports go home. 


First Nine Weeks:                                         Second Nine Weeks:

September 10                                               November 12

*September 18                                              *December 1

October 8                                                       December 17


Third Nine Weeks:                                        Fourth Nine Weeks:

February 4                                                     April 22

*February 19                                                  *May 4

March 11                                                        May 20


*School progress reports


The school report cards will go home on October 30, January 21, March 31, and June 8.


I will also be calling home if students are falling behind in their assignments or if grades start dropping.


If you have any questions or concerns at anytime, please feel free to call me at 355-7873 or e-mail me at  You can also view important information on my school web page  I encourage students to come and get help when needed; I will be more than happy to give them extra help.  I will offer tutoring on Tuesdays and Thursdays at 3:30.