Download Printable Map for: January January

Printable Map for: January
January
AP Precalculus
P Rogers
G Rogers
STANDARDS
8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic,and
trigonometric to describe numerical relationships
ESSENTIAL QUESTIONS
Rewrite the equation to the basic form, analyze it and graph it (include major vertices, center, foci,
directrix)
CONTENT
Graph & analyze conic sections, polar conics, parametric equations, including rotations of conic
sections
SKILLS
To graph & analyze conic sections, polar conics, parametric equations, graph & analyze rotations of
conic sections, completing the square
ASSESSMENT
Homework checks, board work by students, group work, quizzes, tests
February
AP Precalculus
P Rogers
G Rogers
STANDARDS
8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic,and
trigonometric to describe numerical relationships; 8.C.4a Analyze and report the effects of changing
coefficients, exponents & other parameters on functions & their graphs.
ESSENTIAL QUESTIONS
What are the common functions? Desribe and apply the transformation rules to their graphs. Find an
inverse function and describe its relationship to its function.
CONTENT
Factoring, Solving different types of quadratic equations, solving and graphing absolute value
inequalities and equations, functions, domain, range, increasing, decreasing or constant functions,
relative minimum & maximum values, piece-wise functions, step functions, even &odd functions,
shifts, reflections, nonrigid transformations of graphs, common functions, operations of functions,
compositions of functions, combinations of functions, inverse functions, one-to-one functions
SKILLS
Graph common functions and varaitions of them. Solve quadratic equations, absolute value
inequalities & equations and graph them. Analyze graphs of various common functions and
variations of them.
ASSESSMENT
Homework, group work, board work, quizzes, tests
Printable Map for: March
March
AP Precalculus
P Rogers
G Rogers
STANDARDS
8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic,and
trigonometric to describe numerical relationships; 8.C.4a Analyze and report the effects of changing
coefficients, exponents & other parameters on functions & their graphs, 8.D.4 Formaulate and solve
linear and quadratic equations & linear inequalities algebraically & investsigate nonlinear inequalities
using graphs, tables, calculators 8.C.5 Use polynomial exponential, logarithmic & trigonometric
functions to model situations, .6.A.5 Perform addition, subtraction, and multiplication of complex
numbers & graph the results in the complex plane
ESSENTIAL QUESTIONS
Rewrite quadratic equations in standard form; graph & analyze quadratic equations and polynomial
functions of higher order, find zeros of polynomial functions, divide polynomials by other
polynomials, using long division and then synthetic division
CONTENT
Quadratic Functions, Polynomial functions of higher degree, real zeros of polynomial functions,
complex numbers, the fundamental theorem of algebra, rational functions and asymptotes, DeMoivre's
Theorem and related theorems, Leading Coefficient Test, Intermediate Value Theorem. Rational Zero
Test
SKILLS
Sketch & analyze graphs of quadratic & Polynomial functions; use long division & synthetic division
to divide polynomials by other polynomials; determine the number of rational & real zeros of
polynomial functions, & find them; perform operations with complex numbers; plot complex numbers
in the complex plane; determine the domain, find asymptotes and sketch the graphs of rational
functions
ASSESSMENT
Homework, group work, board work, quizzes, tests
Printable Map for: April
April
AP Precalculus
P Rogers
G Rogers
STANDARDS
8.B.5 Use functions including exponential, polynomial, rational, parametric, logarithmic,and
trigonometric to describe numerical relationships; 8.C.4a Analyze and report the effects of changing
coefficients, exponents & other parameters on functions & their graphs, 8.C.5 Use polynomial
exponential, logarithmic & trigonometric functions to model situations, 6.D.4 Solve problems
involving recipes or mixtures, financial calculations & geometric similarity using ratios, proportions &
percents, 6.B.5 Identify, prefresent & apply numbers expressed in exponential, logarithmic &
scientific notation using contemporary technology, 7.A.5 Apply nonlinear scales to solve practical
problems, 8.D.5 Formaulate and solve nonlinear equations & systems including problems involving
inverse variation & exponential & logarithmic growth & decay.,
ESSENTIAL QUESTIONS
Sketch graphs of logarithmic and exponential functions, determine the unknown amount given other
parameters for growth & decay formulas, solve logarithmic & exonential equations, prove the laws of
logarithms, expand or simplify expressions with logarithms using the laws of logarithms
CONTENT
Exponential Functions, Logarithmic functions, rules for logarithms, rules for exponents, solve
exponential & logarithmic equations, matrices and systems of equations, operations with matrices,
inverses of square matrices, determinants of square matrices, Cramer's Rule
SKILLS
Wrtie matrices, identify their order, perform elementary row operations, use Gaussian elimination &
Gauss-Jordan elimination with matrices to solve systems of linear equations, add, subtract, multiply
two matrices, multiply a matrix by a real number, find inverses of matrices, find determinants of
matrices, use Cramer's Rule to solve systems of linear equations
ASSESSMENT
Homework, group work, board work, quizzes, tests
Printable Map for: May
May
AP Precalculus
P Rogers
G Rogers
STANDARDS
8.C.4a Apply algebraic properties and procedures with matrices, vectors, functions & sequences
using data found in business, industry & consumer situations, 8.A.4b Represent mathematical
patterns and describe their properties using variables and mathematical symbols, 8.A.5 Solve
mathematical problems involving recursive patterns and use models that employ such relationships,
8.A.4b Represent mathematical patterns and describe their properties using variables and
mathematical symbols
ESSENTIAL QUESTIONS
Use your graphing calculator to estimate the limit, find the limit by direct substitution, find the limit
using properties and operations of limits, write designated terms for the given sequence, evaluate the
factorial expression, use sigma notation to write the sum, find the sum of the given series
CONTENT
matrices and systems of equations, operations with matrices, inverses of square matrices,
determinants of square matrices, Cramer's Rule, sequences & series, arithmetic sequences and
series, geometric sequences and series, mathematical induction, partial sums, basic introduction to
limits and evaluating limits for sequences and functions
SKILLS
Write sequence notation, factorial and summation notation, find sums of infinite series, find nth terms
of arithmetic and geometric sequences, find partial sums of arithmetic and geometric sequences, find
sums of infinite geometric series, use the defintion of a limit to estimate limits, find limits of
sequences and functions using properties and operations of limits
ASSESSMENT
Homework, group work, board work, quizzes, tests