Honors Calculus

Unit 8 – Integral Applications 11/18 – 12/9

Notes:

Unit 8 – Applications of Integration Notes

Worksheets:

Unit 8 – Applications of Integration Homework Answers

Unit 7 – Integral Rules 11/9 – 11/17

Integration Rules Unit Plan

Worksheets:

Unit 7A – Worksheet Answers

Unit 6 – Meaning of Integrals 10/30-11/8

Meaning of Integration Unit Plan-

Notes:

Keepers 38 – 41

Worksheets:

Unit 6 – Worksheet Answers

Unit 5 – Applications of Derivatives 10/16 – 10/27

Meaning of Derivatives Unit Plan

Notes:

Keeper 32 – Curve Sketching

Keeper 33 – Interpreting Graphs

Keeper 34 – Graphing Functions Using Derivatives

Keeper 35 – Optimization

Keeper 36 – Implicit Differentiation

Keeper 37 – Related Rates

Worksheets:

Unit 5 Homework Answer Keys

Graphing f and f’’ from f’ Extra Practice

Curve Sketching Extra Practice Key

Midterm – October 13

Unit 4 – Derivative Rules 9/18 – 10/10

Derivative Rules Unit Plan Part A

Notes:

Keeper 24 – The Power Rule

Keeper 25 – Product and Quotient Rules

Keeper 26 – the Derivative of Trig Functions

Keeper 27 – Chain Rule

Keepers 28 – 31

Worksheets:

Unit 4 Worksheets and Answers

Unit 4 Worksheet Answers 2

Unit 4 Worksheet Answers 3

 

Unit 3 – The Meaning of the Derivative 9/5 – 9/13

Notes:

Keeper 20 – Introduction to Derivatives

Keeper 21 – More Derivatives

Keeper 22 – Curve Sketching

Keeper 23 – Interpreting the Derivative

Worksheets:

Unit 3 – Worksheets

Unit 3 – Worksheets Answer keys

Unit 2- Limits 8/21/17 – 9/1/17

Limits Unit Plan

Notes: 

Keeper 12 – Finding Limit from Graphs

Keeper 13 – Graphs from Limits

Keeper 14 – One-Sided Limits

Keeper 15 – Algebraic Limits

Keeper 16 – Continuous Functions

Keeper 17 – Intermediate Value Theorem

Keeper 18 – Asymptotes and End Behavior

Keeper 19 – Infinite Limits

Worksheets:

Keeper 12 Worksheet – Limits from Graphs

Keeper 13 Worksheet – Graphs from Limits

Keeper 14 Worksheet – One-Sided Limits

Keeper 15 Worksheet – Algebraic Limits

Keeper 16 Worksheet Continuous Functions

Keeper 17 Worksheet – Intermediate Value Theorem

Keeper 18 Worksheet – Vertical and Horizontal Asymptotes

Keeper 19 Worksheet – Infinite Limits Unit 2 – Limits Review

Unit 1 – Pre-Calculus 7/31/17 – 8/18/17

Pre-Calculus Unit Plan

Notes:

Keeper 1 – Factoring

Keeper 2 – Slope, Rate of Change, and Equations of Lines

Keeper 3 – Properties of Exponents

Keeper 4 – Inequalities and Interval Notation

Keeper 5 – Domain, Range, Symmetry, and Even and Odd Functions

Keeper 6 – Piecewise Functions

Keeper 7 – Composition of Functions

Keeper 8 – Solving Exponential and Logarithmic Equations

Keeper 9 – Inverse Functions

Keeper 10 – Graphing Transformed Sine and Cosine

Keeper 11 – Evaluating Trigonometric Functions

Worksheets:

Keeper 1 – Factoring Worksheet

Keeper 1 – Factoring 5 in a Row

Keeper 2 – Rate of Change and Equations of Lines

Keeper 3 – Properties of Exponents

Keeper 4 – Inequalities and Interval Notation

Keeper 5 – Domain, Range, Symmetry, Even Odd

Keeper 6 – Piecewise Functions

Keeper 7 – Function Compositions

Keeper 8 – Solving Exponentials and Logs

Keeper 9 – Inverse Functions

Keeper 10 – Graphing Sine and Cosine Functions

Keeper 11 – Exact Value of Trig Functions

Welcome to Honors Calculus!

Honors Calculus Syllabus

There are some websites that do a great job with extra practice and/or if you need added reinforcement of concepts.  Paul’s Online Notes,  and Kahn Academy  all offer tutorials for many concepts.

Helpful websites:

https://www.khanacademy.org/math/algebra/algebra-functions/domain-and-range/e/domain_and_range_0.5

https://www.khanacademy.org/math/algebra/algebra-functions/determining-the-domain-of-a-function/v/domain-of-a-radical-function

http://www.mesacc.edu/~scotz47781/mat120/notes/rational/domain/domain_of_rational_practice.html

http://www.beatthegmat.com/critical-points-method-for-inequalities-explained-useful-t110450.html

http://www.sosmath.com/algebra/solve/solve0/solvtrig.html:

https://www.mcckc.edu/tutoring/docs/bt/exp_rad_log/Logarithms_and_Their_Properties.pdf

http://dl.uncw.edu/digilib/mathematics/algebra/mat111hb/eandl/equations/equations.html