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