Hello Everyone,
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Here is the plan for the week:
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Monday - 12.1 #3, 5, 15-55 odd
Tuesday - 12.2 1-25 odd and 12.3 1-33 odd
Wednesday - 12.4 5-22 all, 33-37 odd
Thursday - Chapter 12 Review
Friday - Chapter 12 Summative Quiz
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Sketch a graph of a polynomial – know when the graph passes through an intercept vs.
bounces off
Know how many roots there will be based on the degree of the function
Graphing Rational functions – domain, vertical asymptotes, horizontal asymptotes, slant
asymptotes, intercepts, holes, and how to graph
Condensing and expanding logs
Solving logarithmic equations using the one to one property
Solving logarithmic equations by rewriting in exponential form
Using the strategy of condensing to solve logarithmic equations
Solve exponential equations using the one to one property
Solve exponential equations using logs on both sides.
Basic operations on matrices – add, subtract, multiply by a scalar, multiply two matrices
Find a determinant of a 2x2 and 3x3
Set up augmented matrices from a system of equations
Compute partial fractions (7-4)
The answers for the chapter 12 homework can be found on my website,
Chapter 4
because they are not in the textbook. This is also the last week of retakes. If
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Convert a degree measurement to radians
your student has to retake any assessments, they need to get them finished by
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Convert a radian measurement to degrees
this Thursday after school. Students also received a copy of the concepts that
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Memorize the unit circle – know how to use it to find sin, cos, csc, sec, tan, and cot
will be assessed on the final today in class, but we will not spend time
values. Know when these values are undefined.
reviewing for the final in class until next week. If you have any questions please
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Find exact values for inverse trig functions (like arcsin or sin-1)
let me know.
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Thanks,
Phil Leonhardt
Vista del Lago high School
Final Exam Review Topics
Part 1: Free Response – 45 minutes –Wednesday –No Calculator
Part 2: Multiple Choice – 1 hour 45 minutes – Thursday/Friday – No Calculator
First Semester Topics
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Simplify expressions with exponents or radicals
Know all the parent functions and how to graph them with shifts
Evaluate difference quotients (section 1.4)
Evaluate a function for a value like f(2) or f(2x-1)
Inverses –proving two functions are inverses, finding an inverse given an equation,
finding an inverse given a graph, provide the domain of an inverse
Know how to find f(g(x)) and its domain
Long/Synthetic Division
Find the zeros (real and imaginary) of a function by factoring, using quadratic formula,
looking at a graph, or looking at a factored polynomial
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Given information about one or two trig functions: 1) find the value of another trig
function or 2) identify the quadrant an angle lies in.
Graph all six types of trig functions and identify the amplitude, period, translations
left/right or up/down, and asymptotes when applicable.
Chapter 5
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Use trig formulas to simplify expressions or verify an identity
Use different formulas to rewrite/simplify expressions
Given information about a trig function find the double angle of another trig function
Solve trig equations (on an interval as well as all solutions)
Chapter 6
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Use the law of sines and law of cosines to solve word problems
Chapter 9
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Write the rule for the nth term of a sequence
Find a term in a recursive sequence
Find the nth term in an arithmetic or geometric sequence
Find the sum of n terms in an arithmetic or geometric sequence
Find the sum of an infinite geometric series
Find the sum of a sequence written in summation notation
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Chapter 10
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Eliminate the parameter in parametric equations
Convert polar coordinates to rectangular form
Convert rectangular coordinates to polar form
Convert polar equations to rectangular equations
Convert rectangular equations to polar equations
Chapter 12 (Limits – not in textbook)
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Find a limit using direct substitution
Using the strategies of factoring and dividing out, rationalizing, or simplifying complex
fractions to find a limit
Finding a limit at infinity
Know the three situations where a limit DNE
Extra Practice:
Chapters 1-3: Page 276 #10, 20, 22, 23, 26, 36, 38, 40
Chapters 4-6: Page 487 #3, 4, 6, 10, 14, 15, 17, 19 (use factoring), 20, 24, 28, 42
Chapters 7-9: Page 720 #10, 12-16, 22, 24, 34, 36
Chapter 10: Page 802 #55, 57, 65, 69, 73, 77, 85