Scope and Sequence:
Mathematics
Course/Grade _Precalculus_
| Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 | |
| Unit Titles | Linear Algebra and Matrices Polynomial and Rational Functions |
Exponential and Logarithmic Functions Trig Functions |
Sequences and Series Analytica Geometry |
Limits Derivatives |
| Learning Outcomes
(grade level expectations or standards) |
Solving Systems Linear (with 3 or more variables) Augmented Matrices Matrices on Calculators Applications – Real world Area of Triangle Test Points to see if Collinear Decoding Domain and Range Real Value vs. Discrete Functions Graph and model Find maximum and minimum values Find zeros Increasing vs. Decreasing Concavity Inverse and Direct Variation Limits of functions Composition of Functions Composition of Inverse functions |
Describe the behavior Find Domain and Range Simplify exponential and logarithmic expressions Find the inverse of an exponential equation Properties of the logarithmic expressions Solve exponential and logarithmic equations Change the bases of a logarithmic expression Solve real world problems Base e and the natural logarithm Analyzing Trig functions Circular functions Identities Graphing Increasing and decreasing Transformations Solving trig equations Trigonometric formulas Sum and difference Multiple angle Product to Sum Laws of Sines and Cosines Solving problems using laws of trigonometry Inverse trig functions Applications of trigonometry to real world situations |
Sequences Define and graph sequences and series Calculate the nth term of a sequence and series Recursive Formulas Explicit Formulas Sum of sequences Limits (lower and upper bound) The Binomial theorem Analytical Geometry Points and lines in Space Conic sections Parabola Ellipse Hyperbola Vectors:
Three dimensional coordinates Lines and Planes in space Transformation of Geometric figures in the coordinate plane |
Continuity Tangent lines and slopes Riemann Sum Area under the curve |
| Significant Task
(names only) |
Solving Systems of Multiple Equations Linear Programing Analysis of Parabolas Asymptotes and End Behavior |
Financial Planning Exponential growth and decay Proving Identities Analysis of sinusoids |
|
Continuous Functions Limits of Rational Functions Max/min problems Definition of derivative |
| Content
Supporting Materials (text, calcs, manips) |
Student text
Supporting software Graphing calculators Web-based applications |
Student text
Supporting software Graphing calculators Web-based applications |
Student text
Supporting software Graphing calculators Web-based applications |
Student text
Supporting software Graphing calculators Web-based applications |
