Honors Precalculus Fall 2012
Test #1 Review:
Section
Key Skills
3.1
 Evaluate and graph exponential functions
 Solve exponential equations with like bases
3.2
 Use the periodic compounding interest formula
 Use the continuous compounding interest formula
3.3
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3.4
 Use the product, quotient, and power rules for logarithms
 Use the change-of-base formula
 Expand or condense logarithmic expressions
3.5
 Solve exponential equations
 Solve logarithmic equations
Write expressions in exponential and logarithmic form
Evaluate and graph logarithmic functions
Use the basic properties of logarithms
Use common and natural logarithms
Test #2 Review:
Section
Key Skills
2.1
 Identify and graph quadratic functions
 Write quadratic functions in standard or general form
 Find the vertex, axis of symmetry, and intercepts
2.2
 Identify and graph polynomial functions
 Determine end behavior
 Find zeros and their multiplicities
2.3
 Divide polynomials using long or synthetic division
 Use the Remainder and Factor Theorems
 Use the Rational Zeros Test
2.4
 Use Descartes’ Rule of Signs
 Use the Upper and Lower Bound Tests
 Use the Conjugate Pairs Theorem
2.5
 Identify and graph rational functions
 Identify and calculate vertical and horizontal asymptotes
7.5
 Decompose rational expressions into partial fractions
Test #3 Review:
Section
Key Skills
4.1
 Convert between degree and radian measure
 Calculate arc length, sector area, and linear and angular speed
4.2
 Find trig functions of common arcs
 Find trig functions given a point in the coordinate plane
4.3
 Find trig functions given one trig function and a quadrant
 Understand and use the basic trig identities
-- Pythagorean, quotient, reciprocal, negative, and cofunction
4.4
 Graph transformed sine and cosine functions
 Identify the amplitude, period, phase shift, and vertical shift
4.5
 Graph transformed tangent, cotangent, secant, and cosecant functions
 Identify the vertical stretch, period, phase shift, and vertical shift
4.6
 Find inverse trig functions for common values
 Calculate composite functions containing inverse trig functions
6.1
 Express trig functions using a right triangle
 Solve right triangles and applications of right triangles
6.4
 Calculate the magnitude and direction of a vector
 Add vectors and multiply a vector by a scalar
 Use position vector and standard unit vector notation
6.5
 Calculate the dot product or the angle between two vectors
 Calculate vector and scalar projections and work
Test #4 Review:
Section
Key Skills
5.1
 Simplify trig expressions and prove trig identities using the quotient,
reciprocal, Pythagorean, even/odd, and cofunction identities along
with algebraic techniques
5.2
 Solve trig equations using trig formulas, basic trig identities, algebra,
and inverse trig functions
5.3
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Simplify trig expressions using the sum and difference formulas
Evaluate trig functions using the sum and difference formulas
Evaluate trig functions for angles in the  12 family
Prove trig identities using the sum and difference formulas
Simplify trig expressions using the addition of sine and cosine formula
5.4
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Simplify trig expressions using the double or half angle formulas
Evaluate trig functions using the double or half angle formulas
Evaluate trig functions for angles in the  8 family
Prove trig identities using the double- or half-angle formulas
Rewrite trig expressions using the power-reducing formulas
5.5
 Rewrite trig expressions using the product-to-sum or
sum-to-product formulas
 Prove trig identities using the product-to-sum or
sum-to-product formulas