CURRICULAR MAP

Curricular Area: MathematicsSubject: Pre-CalculusInstructor: Steve Murphy

MONTH / CONTENT / SKILLS / ASSESSMENT
August /
September / - ACT Preview/Review
- Linear Functions
- Quadratic Functions
- Polynomial Functions
- Fundamental Complex Numbers Operations
- Solving Methods for Functions
- Evaluation and Simplification Methods for Expressions and Functions / - Apply the Distance and Midpoint Formulas
- Determine Slopes and Intercepts
- Express Linear Equations in Standard, Slope-Intercept, Point-Slope, and Intercept Forms
- Determine Solutions for Linear and Quadratic Equations
- Graph Linear and Quadratic Equations
- Determine Zeros of Polynomials
- Apply Properties of Complex Numbers
- Successfully Implement Strategies of Synthetic Division and Factoring / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal
October / - Equations and Inequalities
- Absolute Value
- Graphing in Two Dimensions
- Polynomial Functions
- Review of Previous Content / - Solve Linear and Polynomial Inequalities
- Solve Equations and Inequalities involving Absolute Value
- Graph Polynomial Functions
- Determine Maximums and Minimums of Functions
- Solve Systems of Equations and Inequalities / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal

CURRICULAR MAP

Curricular Area: MathematicsSubject: Pre-CalculusInstructor: Steve Murphy

MONTH / CONTENT / SKILLS / ASSESSMENT
November / - Functions
- Inverses
- Exponentials
- Logarithms
- Natural Logarithms
- Review of Previous Content / - Accurate Develop and Utilize Operations of Functions
- Simplify Composite Functions
- Translate Graphs of Functions
- Determine Function Inverses
- Simplify and Solve Exponential Functions
- Accurately Utilize Rules of Exponents
- Solve Problems involving Natural Exponential Functions and Natural Logarithmic Functions
- Solve Exponential Equations
- Solve Problems involving Logarithms / - Quarter Final Exam
- Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal
December / - Trigonometric Functions
- Evaluating and Graphing Sine and Cosine
- Evaluating Tangent, Cotangent, Secant, and Cosecant Functions
- Inverse Trigonometric Functions
- Review of Previous Content / - Use Initial and Terminal Rays to Express Angles of a Unit Circle and Compare to Coterminal Angles
- Convert Degrees and Radians
- Compute Areas of Sectors
- Graph Sine and Cosine Functions
- Express Trigonometric Functions in Terms of Sine and Cosine
- Evaluate Expressions involving the Six Trigonometric Functions
- Solve for Angles using Inverse Trigonometric Relationships / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal

CURRICULAR MAP

Curricular Area: MathematicsSubject: Pre-CalculusInstructor: Steve Murphy

MONTH / CONTENT / SKILLS / ASSESSMENT
January / - Trigonometric Equations
- Applications of Trigonometry
- Triangle Trigonometry
- Trigonometric Identities
- Review of Previous Content / - Accurate Utilize Trigonometric Relationships and Principles to Solve Equations
- Determine Side Lengths and Angle Measures using Trigonometric Rules and Concepts
- Perform Trigonometric Proofs using Trigonometric Identities and Relationships / - Semester Final Exam
- Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal
February / - Polar Coordinates
- Advanced Complex Numbers Operations
- Vectors
- Review of Previous Content / - Convert Rectangular Coordinates and Polar Coordinates
- Graph Complex Numbers
- Successfully perform mathematical computations involving complex numbers
- Express Vectors Geometrically
- Perform Mathematical Computations involving Vectors
- Successfully Solve Application Problems utilizing Vectors / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal

CURRICULAR MAP

Curricular Area: MathematicsSubject: Pre-CalculusInstructor: Steve Murphy

MONTH / CONTENT / SKILLS / ASSESSMENT
March / - Vectors in Three Dimensions
- Determinants
- Finite and Infinite Sequences and Series
- Review of Previous Content / - Determine Magnitudes and Midpoints of Vectors in Three Dimensions
- Successfully Compute Determinant Values
- Solve Systems of Equations using Determinants
- Analyze Patterns of Sequences and Series
- Determine Various Terms of Sequences
- Compute Sums of Series
- Appropriately Apply and utilize Sigma Notation
- Develop a Sequence using Recursive Parameters / - Quarter Final Exam
- Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal
April / - Combinatorics
- Probability
- Statistics
- Review of Previous Content / - Analyze and Construct Venn Diagrams
- Successfully implement Combinatoric Rules of Multiplication, Addition, and the Complement Principal
- Perform calculations involving Permutations and Combinations
- Accurately Analyze Tables, Graphs, and Plots / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal
- Six Trait Writing Paper

CURRICULAR MAP

Curricular Area: MathematicsSubject: Pre-CalculusInstructor: Steve Murphy

MONTH / CONTENT / SKILLS / ASSESSMENT
May / June / - Conic Sections
- Review of Previous Content
- (Time Permitting) Introduction to Limits and Derivatives in Calculus / - Identify Components of Circles, Parabolas, Ellipses, and Hyperbolas using Equations and Graphs
- Strengthen Comprehension of Previously Learned Content / - Tests
- Assignments
- Quizzes
- Class Discussion
- Notebook
- Dry Erase
Problem Types: Short Answer, Sequential Solving, Multiple Choice, and Oral / Verbal