Union Mathematics Curriculum Guide
2010 - 2011
10th - 12th PreCalculus / Trigonometry
Textbook: PreCalculus With Limits A Graphing Approach, Larson 5th Edition, Houghton Mifflin 2008
Estimated Time/Dates / Textbook Correlation / Lesson Objectives / Resources/Activities1st Quarter
Welcome – 1 day
August / Sept
10 days / 1.1 – 1.6 / · Lines in the Plane
· Functions
· Graphs of functions
· Transformations
· Combinations of functions
· Inverse functions / · Koosh Ball Review
Sept
6 days / 4.1 – 4.3 / · Radian and degree measure
· Unit Circle
· Right Triangle Trig
Sept / Oct
12 days / 4.4 – 4.6 / · Trig Functions of any angle
· Graphs of Sine and Cosine
· Graphs of Other Trig Functions / · Unit Circle Quizzes
· Trig Art project
Oct
6 days / 4.7 – 4.8 / · Inverse Trig Functions
· Applications and Models
Oct
5 days / 5.1 – 5.2 / · Using Fundamental Identities
· Verifying Trig identities
1st 9 weeks Replacement Exam (2 days)
Oct / Nov
7 days / 5.3 / · Solving Trig Functions / · Identity Quizzes
Nov
5 days / 5.4 – 5.5 / · Sum and Difference Formulas
· Multiple Angle Formulas
Nov / Dec
10 days / 6.1 – 6.3 / · Law of Sines
· Law of Cosines
· Vectors in the Plane
Dec
13 days / 6.4 – 6.5 / · Vectors and Dot Products
· Trig Form of a Complex Number
2nd 9 weeks Replacement Exam (2 days)
1st Semester Final (5 days)
Jan
10 days / 9.5 – 9.7 / · Parametric Equations
· Polar Coordinates
· Graphs of Polar Equations / · Polar Graph Art
1 revised 5/26/10
Union Mathematics Curriculum Guide
2010 - 2011
10th - 12th PreCalculus / Trigonometry
1 revised 5/26/10
Union Mathematics Curriculum Guide
2010 - 2011
10th - 12th PreCalculus / Trigonometry
Jan6 days / 2.6 – 2.7 / · Rational Functions and Asymptotes
· Graphs of Rational Functions
Jan / Feb
8 days / 2.1 – 2.5 / · Quadratic Functions
· Polynomial Functions of Higher Degree
· Real Zeros
· Complex Numbers
· Fundamental Theorem of Algebra
Feb
4 days / 3.1 – 3.3 / · Exponential Functions
· Logarithmic Functions
· Log Properties
Feb
5 days / 3.4-3.6 / · Solving Exponential and Log Equations
· Exponential and Log Models
· Non-Linear Models
Feb / Mar
9 days / 11.1 – 11.3 / · Intro to Limits
· Evaluating Limits
· Tangent Line / · APSI Worksheet
Mar
4 / 11.4-11.5 / · Limits at Infinity
· Area Under a Curve / · Riemann worksheet for 11.5
3rd 9 weeks Replacement Exam (2 days)
Mar
9 days / 7.3-7.8 / · Multivariable Linear Systems
· Operations with Matricies
· Matrix Inverse and Determinant
Apr
9 days / 8.1-8.3 / · Sequences and Series
· Arithmetic Sequences and Partial Sums
· Geometric Sequence / · APSI Candace Smalley Worksheets
Apr
4 days / 8.5 / · Binomial Theorem / ·
Apr / May
10 days / 9.1-9.3 / · Conics
May
7 days / Intro to Calc / · Limits, Area, Tangent Line, Position – Velocity - Acceleration / · Getting Ready for Calculus Worksheet
4th Weeks Replacement Exam (2 days)
2nd Semester Final (5 days)
1 revised 5/26/10