Showing posts with label Precalculus. Show all posts
Showing posts with label Precalculus. Show all posts

Monday, March 1, 2021

Precalculus - part I - Test Bank

 


Includes Precalculus Test - part I (Test #1 - 6):

1.  Test #1 - Linear Functions

  • Points and Lines
  • Slopes of Lines
  • Finding Equations of Lines 
  • The Complex Numbers
  • The Quadratic Functions - Graphs, Models

2.  Test #2 - Polynomial Functions

  • Polynomial functions
  • Polynomial equations and their roots
  • Dividing polynomials - Finding Quotients and Remainders.
  • Word problems involving polynomial functions

3.  Test #3 - Inequalities

  • Absolute Value Inequalities
  • Inequalities
  • Polynomial inequalities
  • Inequalities of the form:  P(x)/Q(x)<0, where P(x) and Q(x) are polynomial expressions

4.  Test #4 - Functions - part I

  • Inverse Functions
  • Logarithmic Functions
  • Exponential Functions
  • Rational Functions

5.  Test #5 - Functions - part II

  • Exponential Functions - Exponential Growth and Decay Functions
  • Logarithmic Functions
  • Word problems - Half-life, compound interest, depreciations
  • Laws of Exponents

6.  Test #6 - The Conic Section

  • Circles
  • Ellipses
  • Parabolas
  • Hyperbolas

Note:  i) The test bank consists of free response tests I created through the years.  It also involves some multiple choice problems mixed in with free response questions. The tests were created specifically for my class and for the students in my district. The topics in Precalculus covered at your school and district may have some differences to the topics covered at my school.

ii) Test #6 - The Conic Section has multiple choice and free response questions. All other Test #1 - 5, are free response questions.

Copyright @2020
Don Sabado, Author
Mr. D Math Class
All rights reserved by author
Permission to copy for single classroom use only.
Not for public display

https://www.teacherspayteachers.com/Store/Mr-D-Math-Class

Thursday, February 25, 2021

Dividing Polynomials - Long Division

 


Dividing Polynomials - Long Division

Includes:

1. Guided Practice

2. Your turn problem (Student)

3. Practice Worksheet

4. Answer Key

5. Terms of use page

Copyright @2020
Don Sabado, Author
Mr. D Math Class
All rights reserved by author
Permission to copy for single classroom use only.
Not for public display
https://www.teacherspayteachers.com/Store/Mr-D-Math-Class

Sunday, December 20, 2020

Precalculus Lessons

 


This is a summary of graphing polynomial functions (Curve Sketching in AP Calculus).

Included:

1. Examples are given for linear, quadratic, cubic, quartic functions.

2. For the cubic and quartic functions, the first derivative test and the use of the derivative of the function are used to explain the curve of the function. (curve sketching in AP Calculus AB)

3. Desmos graphing and the TI - 84 plus are used for pictorial reference. Instructions for desmos and TI-84 Plus calculator are given to help students verify graphing. But, this could be a paper pencil curve sketching activity for the students.

4. Worksheet - Practice problems to help students with curve sketching.

5. Notes given on how to make your own polynomial functions by taking the product of two or more binomials. You could make many more polynomial functions on your own by creating your own functions.

Other Products:

The Rational Root Theorem

Precalculus - Bundled

Dividing Polynomials - Long Division (Distance Learning)

Partial Fraction Decomposition - Part I

Polynomial Inequalities Lesson + Google Forms Test (Distance Learning)

Absolute Value Equations/Inequalities - Lesson Plan 2 (Distance Learning)


Don S

TpT Author

Mr D Math Class