Precalculus Course

We are in the process of creating a completely rewritten Precalculus Course. Several units have been archived and moved to this link. Please leave any questions or comments below.

Units (select a unit)

  • Review of Fundamentals
    Topics include:
    Real Numbers
    Exponents & Radicals
    Algebraic & Rational Expressions
    Equations & Modeling
    Inequalities
    Coordinate Geometry
    Lines
    Solving Eq & Ineq Graphically
    Making Models Using Variation
  • Functions *Updated*
    Topics include:
    - What is a Function
    - Graphs of Functions
    - Getting Info from the Graph of a Function
    - Average Rate of Change
    - Transformations of Functions
    - Combining Functions
  • Polynomial and Rational Functions *Updated*
    Topics include:
    - Graphs of Polynomial Functions
    - Zeros of Polynomial Functions
    - Writing Polynomial Functions from Given Zeros
    - Polynomial Inequalities
    - Graphs of Rational Functions
    - Complex Fractions & Rational Equations
    - Rational Inequalities
  • Exponential and Logarithmic Functions *Updated*
    Topics include:
    - Rewriting Exp as Like Terms
    - Exponential Functions
    - Exp Functions with Base e
    - Introduction to Logarithms
    - Logarithmic Functions
    - Properties of Logarithms
    - Solve Exp & Log Equations
  • Conic Sections *Updated*
    Topics include:
    - Rev of Midpoint and Distance
    - Intro to Conic Sections
    - Parabolas
    - Circles
    - Ellipses
    - Hyperbolas
    - Recognizing Conic Sections from General Form
  • Trigonometric Functions *Updated*
  • Analytic Trigonometry *NEW*
  • Polar Coordinates and Parametric Equations
  • Matrices & Systems *Updated*
  • Vectors *Updated*
  • Sequences and Series *Updated*
  • End of Year Assessment - Precalculus

18 Comments

David Lakind • 2 years, 12 months agologin to reply

I noticed the Year Long plan for PreCalc mentions a unit called Transforming Parent Functions. However, I only see a unit called Parent Functions. Can you clarify this for me?

Audra Crist • 2 years, 9 months agologin to reply

Dear Mr. Lakind, Thank you for your comment. We apologize for not getting back to you sooner. The unit "Transforming Parent Functions" is not available anymore on our site. If you would like to use some topics from other courses, instead, then I would start with the Algebra II Linear and Absolute Value Functions topic titled "Transforming Functions" (final topic of the 2nd presentation). It can be found using the link below: https://njctl.org/courses/math/algebra-ii/linear-and-absolute-value-functions/ Transformations are also referenced in the Quadratic Functions presentation. I will send you an updated copy of it via email. It will be posted on our site once a few more of the supporting files get finished. Our Pre-Calculus course will be better aligned for the next school year. Kind regards, Audra

Samuel Cerritos • 2 years, 9 months agologin to reply

Presentation Table of Contents is missing from available units.

Audra Crist • 2 years, 9 months agologin to reply

Dear Mr. Cerritos, Thank you for your comment. Please specify the units that are missing a Table of Contents. We can add them in once we receive that information from you. Kind regards, Audra

Deb Yoast • 1 year, 5 months agologin to reply

So I see a lot questions on this course. Could you please specify what year exactly are you seeing as "next year"? I wish there was more done on the unit plans. Thanks!

Audra Crist • 1 year, 5 months agologin to reply

Dear Deb Yoast, Thank you for your comment. Our plan is to begin making revisions to our Pre-Calculus course in late summer 2018, in hopes that we stay ahead of the teachers for next school year (2018-2019). Kind regards, Audra

Pam Foushee • 1 year, 2 months agologin to reply

Just wondering if the revisions have started on the course. Thanks

Audra Crist • 1 year, 2 months agologin to reply

Dear Pam Foushee, Thank you for your comment. Yes, we are in the process of writing the content for this course. Right now, the first 4 units (Functions, Polynomial & Rational Functions, Exponential & Logarithmic Functions, and Trigonometric Functions) are having their presentations written. The supporting files in these units will start to be created in the next week. As the files in each unit are completed, we will be posting the updated content on our website. Kind regards, Audra

Pam Foushee • 1 year, 2 months agologin to reply

Thanks so much for the quick response.

Deb Yoast • 1 year agologin to reply

So when I clicked on "Download All" for the Functions *NEW* unit--it downloads all the old 2013 and 2015 files. Was wondering if someone could fix this. Thanks and have a good one!

Audra Crist • 1 year agologin to reply

Dear Deb Yoast, Thank you for your comment. I went through using the "Download All" button 2 times: 1) When logged into my account, it downloaded all of the files with the old dates, as you reported 2) When logged out of my account, it downloaded all of the files accessible to the public (i.e. presentation, unit plans, labs, & cw-hw files) with the updated versions (from the last few weeks, when the files were updated). The assessments did not download, due to the privileges set up on our site. You are correct, this is very bizarre, and I will be sending this information to our technology team to correct the issue. My recommendation for the time being would be to "log out" of your account, download most of the files using "Download All", then log back in & download the assessment files separately. Kind regards, Audra

Audra Crist • 10 months, 1 week agologin to reply

Dear Deb Yoast, Thank you, again, for bringing the issue w/ the Download All button to our attention. Our technology team has updated its functionality to download the most updated files. Kind regards, Audra

Deb Yoast • 11 months, 2 weeks agologin to reply

The Functions Unit does not have a Review at the end of the CWK/HWK but the Unit Plan suggests a day for the review. Will they be adding the review? Thank you and have a great day!

Audra Crist • 11 months, 2 weeks agologin to reply

Dear Deb Yoast, Thank you for your comment. Yes, we will be adding a review to the end of the CW/HW file in the future. The Math team is currently training educators in Lesotho, Africa and will not be able to get to this task until after we return at the end of October. In the meantime, I would suggest pulling a few questions from each section of the CW-HW file and change the numbers, functions, graphs, etc. Kind regards, Audra

Samuel Cerritos • 2 months, 1 week agologin to reply

Is there an update pacing/curriculum guide to "Year Long Plan- PreCalc"?

Audra Crist • 2 months, 1 week agologin to reply

Dear Samuel Cerritos, Thank you for your comment. At this time, we have not updated the "Year Long Plan" for Precalculus. As we wrap up completing the supporting files, and video recordings of the slides, this task will be completed. Kind regards, Audra

Leighann Pusateri • 3 weeks, 5 days agologin to reply

I'm trying to look at your resources, but every time I try to open a presentation it says the file is corrupt.

Audra Crist • 3 weeks, 5 days agologin to reply

Dear Leighann Pusateri, Thank you for your comment. Is an interactive software program installed on your computer? Examples include, but are not limited to, SMART Notebook, Promethean ActivInspire & If not, please follow the link below for more instructions on downloading & installing SMART Notebook for FREE: https://njctl.org/notebook/ If an interactive software program is already installed, please let me know which one. Kind regards, Audra

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