Math III NC Final Exam Review Guide Fall 2015
NC FINAL EXAM FORMAT: This is a standardized test and is NOT teacher-made.
Standard and Honors Math III Students will take the same exam
Total Test Time: 120 MINUTES
 No extra time unless you have a documented accommodation you should know this)
Question Type: All Multiple Choice Questions with Four answer options
 All questions are calculator active.
Make sure you remember to bring a working graphing calculator on the day of the exam
Number of Questions: 37 Total Questions (Only 33 questions will be grade, and 4 select
problems are will are just field test items )
GRADING NOTES: This final exam is worth 20% of your overall grade.
1st Quarter and 2nd Quarter Grades are worth 40% each of your overall grade.
ATTEDANCE REMINDER: Attendance (absences and tardies) will be taken during every
exam period and afternoon review session. Students who do not follow proper sign in or sign
out procedures are subject to discipline referrals for skipping.
Reminder of Athletic Attendance: Athletes must be present at least half a school day to
participate in their sport that day. Absences during exam week still count toward you
athletic attendance for eligibility.
Math 3 Hon - 1st Period Exam Date: MONDAY JANUARY 11 (8:55 am)
This exam review guide is a list of major topics covered in Honors Math III.
UNIT 1: GEOMETRY
Angles, Line Segments, Parallel Lines, Quadrilaterals, Similarity, Points of Concurrency of a
Triangle, Triangle Proportionality, Midsegments
UNIT 2: ALGEBRAIC COMPETENCY
Functions, Domain and Range, Function Notation, Function Operations, Compositions,
Inverses, Laws of Exponents, Polynomial Operations (Add, Subtract, Distribute, FOIL), Radical
Equations, Simplifying Radical Expressions, Rational Exponents, Real Number Classifications,
Literal Equations, Extraneous Solutions, Factoring Polynomials, Polynomial Long Division,
Simplifying Rationals Expressions (Add, Subtract, Multiple, Divide, Complex Fractions)
UNIT 3: QUADRATICS
Complex Numbers, Discriminant, Quadratic Formula, Completing the Square, Vertex Form and
Standard Form, Axis of Symmetry, Focus, Directrix, Quadratic Inequalities, Graphing
Parabolas and Transformations
UNIT 4: POLYNOMIAL and RATIONAL FUNCTIONS
Graphing Polynomial Functions (Odd or Even Degree, End Behavior, Extrema, Leading
Coefficient, Increasing/Decreasing, Roots <Zeroes>), Synthetic Division, U-Substitution,
Rational Root Theorem, Factor Theorem, Remainder Theorem, Solving Rational Equations and
Inequalities, Graphing Rational Functions (Holes and Asymptotes)
UNIT 5: EXPONENTIAL and LOGARITHMIC FUNCTIONS
Graphing Exponential and Logarithmic Functions (Transformations), Inverse Functions,
Exponential Growth/Decay, Properties of Logarithms, Common Log, Natural Log, Solving
Exponential and Logarithmic Equations/Inequalities
UNIT 6: SEQUENCES, SERIES, SYSTEMS (Modeling with Functions)
Recursive Sequences, Arithmetic and Geometric Sequence/Series, Common Ratio, Common
Difference, Infinite Geometric Series, Systems of Linear Equations, Quadratic Systems,
Substitution, Elimination, Linear Programming, Systems of Inequalities, Odd and Even
Function, Regression Modeling
UNIT 7: CIRCLES and TRIGONOMETRY
Equation of Circle, Arcs, Chords, Angles, Inscribed and Circumscribed Polygons, Arc Lengths,
Sector Areas, Unit Circle, Graphing Sine or Cosine, Radians and Degrees, Angle Measure,
Right Triangle Trig, Pythagorean Identity
UNIT 8: STATISTICS (We will complete Unit 8 this week!)
Z-Score, Normal Distribution, Population, Bias, Sampling, Margin of Error, Mean, Standard
Deviation
BREAKDOWN OF TOPICS
Test Specification Weights for the Math III NC Final Exam
Math Standard Domain
UNITS in our
Curriculum
The Real Number System (RN)
The Complex Number System (CN)
Seeing Structure in Expressions (SSE)
Arithmetic with Polynomials and Rational Expressions (APR)
Creating Equations (CED)
Reasoning with Equations & Inequalities (REI)
Interpreting Functions (IF)
Building Functions (BF)
Linear and Exponential Models (LE)
Trigonometric Functions (TF)
Congruence (CO)
Similarity, Right Triangles, & Trigonometry (SRT)
Circles (C)
Expressing Geometric Properties with Equations (GPE)
Modeling with Geometry (MG)
Interpreting Categorical and Quantitative Data (ID)
Unit 2
Unit 3
Unit 2, 3, 4, 6
Unit 2, 4
Unit 3 - 7
Unit 3 - 6
Unit 3 – 7
Unit 3 – 7
Unit 5
Unit 7
Unit 1 and 7
Unit 1
Unit 7
Unit 7
Unit 7
Unit 8
Making Inferences and Justifying Conclusions (IC)
Unit 8
Percent of Total
Score Points
4% to 7%
26% to
34%
28% to
36%
24% to
32%
4% to 7%
Number of Operational Items by Standard
Reminder: While these specific topics are released by the start as test items, we do
not the exact type of problem you will be asked to solve. More importantly, math is
interconnected and requires using other topics (not specifically listed) to assist in
solving a problem. Consider the number of times we have referenced previous
strategies or units to solve problem throughout this course.
Math III Specific Standard
Number of
Operational Items
The Real Number System
N-RN.3 – Unit
2 Rational vs. Irrational Numbers
1
The Complex Number System
N-CN.2 - Unit
3 Complex Numbers and Operations
1
Seeing Structure in Expressions
A-SSE.4 Unit
6 Geometric Series
1
Arithmetic with Polynomials & Rational Expressions
A-APR.2 Unit
4 Polynomial Remainder Theorem
A-APR.3 Unit 4 Zeroes of Polynomial
A-APR.6 Unit 2 and 4 Simplify Rational Expressions and
2
1
1
Long Division
Creating Equations
A-CED.3 Unit
6 Linear Programming
1
Reasoning with Equations & Inequalities
A-REI.2 Unit
4 and 6 Solve Radical and Rational
A-REI.4.a Unit 3 Completing the Square
A-REI.4.b Unit 3 Solving Quadratic Equation
A-REI.11 Unit 4, 5, 6 Graphing Functions
1
1
1
1
Interpreting Functions
F-IF.4 Unit 3 – 7 Analyze Graphs (extremas, intercepts,
increase/decrease, end behavior, positive/negative, period,
symmetry, etc)
2
Building Functions
F-BF.3 Unit
3–7
Graphing Functions and
2
Transformations, Even/Odd Function
F-BF.4.a Unit
3–7
Inverse Functions
2
Linear and Exponential Models
F-LE.3 Unit
5
Exponential Functions grow faster than
1
other functions (Compare and Contrast)
Trigonometric Functions
F.TF.1 Unit
7 Radian Measure of Angle
F.TF.2 Unit 7 Unit Circle
F.TF.5 Unit 7 Modeling Periodic Behavior with Trig (Sine
1
1
1
and Cosine)
Congruence
G-CO.10 Unit
G-CO.11 Unit
1 Triangle Theorems
1 Parallelogram Theorems
1
1
Similarity, Right Triangles, & Trigonometry
G-SRT.5 Unit
1 Congruent and Similar Triangles
2
Circles
G-C.5 Unit
7 Arc Lengths and Sector Area
2
Expressing Geometric Properties with Equations
G-GPE.1 Unit
7 Equation of Circle
2
Modeling with Geometry
G-MG.3 Unit
7 Designing an object or structure
1
Interpreting Categorical and Quantitative Data
S-ID.4 Unit
8 Normal Distribution
1
Making Inferences and Justifying Conclusions
S-IC.4 Unit
8 Analyze Survey Data
1
* Some standards not designated with tested items (i.e., “–”) may be a prerequisite standard,
may be tested within the context of another standard or may be included as an embedded field
test item.