Applications of Algebra & Geometry

This course will build on the skills learned in Algebra 1 and Geometry and apply them to real situations. Students will use functions to solve problems and make predictions. They will use trigonometry to calculate heights and distances. Students will move beyond linear and quadratic equations to model growth and decay using exponential functions, logarithmic functions, and systems of functions in 3 variables.

This is an ideal third year math course for students who may not be interested in going into college in a math related field. This course will give practical uses for Algebra and Geometry concepts as well as extending student learning into other areas of math. There will be weekly assignments between classes.

Prerequisites

Algebra 1

Lessons include

  • Functions
    • Linear and quadratic functions
    • Situations represented by linear and quadratic functions
  • Geometry
    • Review of Area, Perimeter, Surface Area, and Volume
    • Using coordinates and distance
    • Squaring the circle (and other polygons)
    • Trigonometric Ratios and Graphs
    • Polar Coordinates and Vectors
    • Introduction to Non-Euclidean Geometry
    • The Pythagorean Theorem
  • Linear Programming
    • Solving systems with 3+ variables
    • Matrix operations
    • Situations represented with 3+ variables
    • Understanding maximums, minimums, and constraints
  • Beyond Linear
    • Modeling growth and decay
    • Logarithmic functions
  • Probability & Statistics
    • Permutations & combinations
    • Normal distribution
    • Data Displays
    • Standard Deviation

The amount and pace of content coverage will depend on the prior knowledge of students enrolled as well as class interest on various topics with a desire to dive deeper into specific content.

Schedule

Lecture class is anticipated to meet 5:30 - 6:45pm on Tuesdays and Thursdays.

The ability to attend class regularly will be important for continuity of information. Students unable to attend a class should expect additional work in order to be prepared. Please arrive promptly, prepared to hit the ground running.

Masks will be not be required, except in the most extreme of circumstances. They will be optional, however.

There may be planned time off during the course of the class. These times may not be during regular public school vacations.

Cost

Tuition is paid monthly, due on the first class of the month.

Attendance

We will take attendance, but only for our own internal accountability. Spaces are limited, so only sign up if you intend to attend regularly, as you will be taking a slot that could have been occupied by somebody else.

Assignments and Grading

Involvement by parents is key, but I will not expect you to do any of the teaching. What I will expect from parents is this:

  • Respond to my emails, usually in the form of "Got it"
  • Ensure your student(s) complete the homework and reading assignments
  • Get your student(s) to class on time
  • Don't get mad if we run overtime. Feel free to come in and pull your student(s) out if you need to go, though
  • Be responsive if I ask something and abide by the written policies of the school, which will be provided to you prior to registering

Involvement by your student is even more important. What I will expect from students is this:

  • Be attentive in class
  • Do your homework
  • Ask questions

Class Materials

No textbook required.

There are no additional materials required beyond a computer, printing ability, pen, scientific calculator and typical classroom materials.

COURSE FEATURES

  • Term 9/13/22 - 7/1/23
  • Days Held Tuesday & Thursday
  • Class Time 5:30 - 6:45pm
  • Seats Available 15 Students
  • Level High School