Pre-Calculus
District
2853
|
Month |
Content |
Performance Standards Addressed
Grades 9-11
Grades 11-12 |
Skills for Student Achievement |
Assessment |
September
|
·
Graphing
and Curve Fitting |
Mathematical
Reasoning - Benchmarks #1, #4 Computation
& Operation - Benchmarks #1, #2, #3, #4, #5 Patterns
and Functions - Benchmarks #1, #3, #5 Algebra - Benchmarks #1, #2, #3, #4, #11, #12 |
Algebra - Benchmarks #1, #2, #3 |
·
Graph functions on the
coordinate plane, alone and with a graphing calculator ·
Use a graphing calculator
to find curves of best fit for real world data |
·
Tests,
Quizzes and Daily Assignments |
|
October |
·
Quadratic
Power and Exponential Functions |
Computation
& Operation - Benchmarks #5, #6 Patterns
and Functions - Benchmarks #1, #5 Algebra - Benchmarks #6, #7, #8, #11, #12 |
Algebra - Benchmarks #2, #3, #4, #5, #6 |
·
Problem
solve with power and exponential functions ·
Solving
problems with complex zeros |
·
Tests,
Quizzes and Daily Assignments |
|
November |
·
Rational
Functions ·
Graphs
and Logarithmics |
Mathematical
Reasoning - Benchmarks #1, #4 Computation
& Operation - Benchmarks #5, #6 Patterns
and Functions - Benchmark #2 |
Algebra - Benchmarks #2, #3, #4, #5, #6, #7, #8, ##9, #14 |
·
Problem solve using
rational functions ·
Compute and graph a
functions inverse ·
Use natural and common
logs |
·
Tests,
Quizzes and Daily Assignments |
|
December |
·
Complex
Numbers ·
Exponential
and Logarithmic |
Patterns and Functions -
Benchmarks #2, #4 |
Algebra - Benchmarks
#5, #6,
#10, #13, #14, #15 |
·
Problem solve with
exponential and logarithmic functions ·
Write equations and graph
relationships with polar coordinate system |
·
Tests,
Quizzes and Daily Assignments |
|
January |
·
Polar
Geometry and Complex Plane |
Computation & Operation - Benchmark
#3 Geometry -
Benchmark #2 |
Trigonometry and Geometry - Benchmarks
#1, #2,
#3, #4, #5 |
·
Graph functions in the
complex planes ·
Use DeMoivre’s Theorem ·
Solve work and force
vectors ·
Calculate dot product |
·
Tests,
Quizzes and Daily Assignments |
|
February |
·
Vectors
and Conic Sections |
Geometry -
Benchmark #2 |
Algebra -
Benchmarks #11, #12 |
·
Use parametric equations
to solve real world problems ·
Write equations for and
graph conic sections ·
Use parametric equations
to describe the conic sections |
·
Tests,
Quizzes and Daily Assignments |
|
March |
·
Conic
Sections and Rotation and Translation |
Geometry -
Benchmark #6 |
Algebra -
Benchmarks #11, #12 |
·
Use trigonometry to be
able to write equations for rotation and translation of conic sections ·
Solve systems of
equations using various methods |
·
Tests,
Quizzes and Daily Assignments |
|
April |
·
Limits
and Continuity Differentiation |
|
|
·
Finding limits ·
Define and analyze
continuity ·
Compute derivatives of
functions using various methods (product rule, chain rule, etc.) ·
Write equations of
tangent lines |
·
Tests,
Quizzes and Daily Assignments |
|
May |
·
Differentiation
of Polynomial, Logarithmic & Exponential Functions |
|
|
·
Use derivatives to find
maximums and minimums ·
Compute derivatives of
natural logarithms ·
Simplify expressions that
involve the exponential function ·
Calculate integrals |
·
Tests,
Quizzes and Daily Assignments |