Precalculus - Partial Fractions Decomposition - Part I (Free Digital Interactive Notebook)

Partial Fraction Decomposition - Part I

https://www.teacherspayteachers.com/Product/Partial-Fraction-Decomposition-Part-I-Free-Digital-Interactive-Notebook-5355105

Includes:

1. Guided Practice - 2 problems

2. Your turn problems (students)

3. Class Exercise - with answer key

Rational expressions of the form: (ax + b)/(cx^2 + dx + e)

Write the rational expression as the sum of two rational expressions

Free Copy: Student Digital Interactive Notebook for the class exercise (click the link to make a copy to your Google Drive) - 5 slides:

Answer Key is not included with the student digital interactive notebook

https://docs.google.com/presentation/d/1uU8HpJcJSdAMfrzeTUQKsR-1lXzOtYMDdDMFe1KIydE/copy

Copyright @2020
Don Sabado, Author
Mr. D Math Class

 

Precalculus - Graphing Polynomial Functions - Curve Sketching

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

Included:

https://www.teacherspayteachers.com/Product/Graphing-Polynomial-Functions-Curve-Sketching-4888884

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

The first several pages are shown for preview purposes only.

Copyright © 2019

Don Sabado, Author
Mr D Math Class
All rights reserved by author.

 

Precalculus: Tests on Polynomial Functions

Includes:

1. Two Test - Test (form A), Test (Form B) with detailed solution to both test

Content covered:

• Given a polynomial function, find the roots of the polynomial equation P(x) = 0
• Given a polynomial function, find the value of P(a) using synthetic division.
• Given a polynomial P(x) in degree 3, find P(x) divided by x - a. Write the answer in the form of Quotient + (remainder/divisor). Use synthetic division or long division.
• Sketch a polynomial function P(x). Find the x-intercepts, y-intercept. Use the Rational Root Theorem, Remainder Theorem and Factor Theorem to find the roots of P(x) = 0 (x-intercept of the graph)
• Word problems: From the given word problems, write the quadratic function and cubic function and answer the given questions.

https://www.teacherspayteachers.com/Product/Polynomial-Functions-and-Equations-Assessments-2-Test-5299861

Other products:

Lesson on Rational Root Theorem

Copyright © 2019, 2020 (revised)
Don Sabado, Author
Mr D Math Class

 

Precalculus: Venn Diagrams in Set Theory - Word Problems

Venn diagram in Set Theory - this is a set of notes designed to familiarize students with Venn diagrams in set theory.

Includes:

1. 1 - word problem on Venn diagram with a detailed solution set to the word problem.

2. Template for teachers to create their own word problems based on the template provided. Create your own word problems and create a story to match the numbers you choose in the Venn diagram.

https://draft.blogger.com/blog/post/edit/728566379599189036/3207774868020124739

Included is a free digital interactive worksheet (google slide) that can be shared with students.

1. Share the link with your students.

2. Click on the link to make a copy to your google drive.

3. A Copy of the Google Slide will be in your Google Drive.

Google Slide link: https://docs.google.com/presentation/d/1FT52e7_KZqJS1mUnZFkPYzdMkbLMIIXiilWSxNTuUm4/copy

Copyright © 2020
Don Sabado, Author
Mr D Math Class

 

Precalculus: Bundled Product; All lessons from precalculus

Precalculus - Bundled

Includes ALL pdf downloadable products in Precalculus:

For closer look, please preview the individual products.

https://www.teacherspayteachers.com/Product/Precalculus-Bundled-5367164

Copyright @2020
Don Sabado, Author
Mr. D Math Class

 

Precalculus: Polynomial Inequalities in One Variable Plus Google Forms Test

Polynomial Inequalities Lesson

Includes:

1. Guided Practice Examples

2. Your turn examples (for students)

3. Practice Exercises (Answer Key included)

4. Google Forms Assessment - 10 question Test (scores will be given immediately after the students submit their test)

Google Forms Assessment - 10 questions

https://www.teacherspayteachers.com/Product/Polynomial-Inequalities-Lesson-Google-Forms-Test-Distance-Learning-5347161

Copyright @2020
Don Sabado, Author
Mr. D Math Class

 

FREE MATH LESSON - The Parabola (The Conic Section)

https://www.teacherspayteachers.com/Product/Parabolas-The-Conic-Section-4817610

This product includes the equation of the parabola from the conic sections.

Parabola

(x - h)^(2) = 4p(y - k)

(y - k)^(2) = 4p(x - h)

Finding vertex, focus, directrix and graphing curve of the parabola.

• Vertex
• Focus
• Directrix
• Graph is concave up, down, left or right
  • p > 0, concave up or right
  • p < 0 concave down or left

YouTube: Mr D Math Class on TpT on Parabola (The Conic Section)

Copyright © 2019, 2020

Don Sabado, Author
Mr D Math Class
https://www.teacherspayteachers.com/Store/Mr-D-Math-Class

 

Dividing Polynomials

https://www.teacherspayteachers.com/Product/Dividing-Polynomials-Long-Division-Distance-Learning-5363157

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

 

Precalculus - part I - Test Bank

 

https://www.teacherspayteachers.com/Product/Precalculus-part-I-Test-Bank-5378409

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

MATH LESSON - Polynomial Inequalities in One Variable

Polynomial Inequalities Lesson + Google Forms Test

Polynomial Inequalities Lesson

Includes:

1. Guided Practice Examples

2. Your turn examples (for students)

3. Practice Exercises (Answer Key included)

4. Google Forms Assessment - 10 question Test (scores will be given immediately after the students submit their test)

Google Forms Assessment - 10 questions

Copyright @2020
Mr. D Math Class

Email:  donsmathtutoring@gmail.com