Fractions, Decimals and Mixed Numbers will be our focus this week! Click here for your lessons.

It's all about circles this week. Click here for your lessons.

This week our focus is Polynomials. Click here for your lessons.

This week's focus is on dividing polynomials. Click here for your lessons.

This week we will focus on Pascal's triangle and arithmetic sequences. Click here for your lessons.

Learning Goal:

I can understand and solve systems of equations in both two and three variables. I can understand and work with Quadratic functions and equations including: factoring, graphing, solving using the quadratic formula and completing the square.

Estimated Time for The Week: 2 hours 20 minutes

Learn & Practice:

1. Systems of Equations - Elimination.
   • You’ve done a wonderful job over the past few weeks. We will start this week with solving systems of equations by elimination. To review this skill, here are some problems to practice.
   • Now that you have practiced a few problems, here is an activity to practice developing and solving your own system of equations. When it asks you for a code enter: 7MDAET
2. Systems of Equations - Substitution
   • After reviewing elimination, we will go back through a few practice problems where you solve a system of equations using substitution. Click here to try 5 practice problems.
3. Systems of Equations - Matrices
   • Another method for solving a system of equations is using matrices. Try 5 practice problems here to see if you remember how to solve a system of equations using matrices. You may want to use a calculator for this.
4. Quadratic Functions - Vertex Form
   • Watch this video for notes on how to graph a quadratic function in vertex form.
   • Once you have watched the video, try these practice problems.
5. Quadratic Functions - Standard Form
   • Next we will look at a quadratic in standard form. Watch this video for notes on how to graph the function in standard form.
   • Try these practice problems.
6. Factoring Quadratics
   • Let’s review factoring. Read through the following notes and then try the practice problems at the bottom of the page.
7. Quadratic Formula
   • Let’s review the quadratic formula. Here are video notes and some practice problems for you to go through.
8. Completing the Square
   • To end the week, we will go over solving a quadratic function by completing the square. Watch these notes and try the practice problems after the notes.
   • For a little extra practice to make sure you are comfortable with the skill, here are a few more practice problems with completing the square. Your solutions should provide the answer to the riddle!

You have done a fantastic job over the last few weeks! You’re almost done! Next week is our last week and it is a short one. We will review trigonometry problems that you will see on an ACT or an SAT test. As always if you have any questions let your teachers know! We miss you and would love to hear from you!

Pre AP Precalculus Challenge Week 5

This week we are going to work with vectors and introduce parametric equations. Vectors are mostly applied in Physics. Parametric equations can help us visualize the relationship of three different variables (one independent and two dependent). Again these are things you will need for AP Calculus and Mrs. Brown continues to help us out with the videos!

1. Vector Basics & Operations
   • Geometrically, what’s a vector? What do we do with them? Well, print this page and settle in to watch this video to find out more. (FYI: there is a video link in the notes to look at as well.) When you are done, here are a couple of worksheets to help you practice your new skills. Vector Basics WS and Vector Operations WS (Filled in notes here.)
2. Vectors & Dot Products
   • In the application of vectors, we can find the measure of angles and so much more. To do this, we need what is called the dot product. So once again, print this page and watch this video, then you can practice, Dot Product WS. (Filled in notes here.) A scientific or graphing calculator will be needed!
3. Introduction to Parametrics
   • Parametrics allow us to visualize different scenarios, such as a baseball coming off the barrel of a bat at a given speed. To get an idea of what is to come and get your calculator ready, first watch this video “Fun Stuff”. Then watch this video and follow along with Mrs. Brown as she works with you through the Introduction to Parametrics WS. (Filled in version.)
4. Eliminating the Parameter
   • While parametrics have a third variable, sometimes we prefer the original rectangular (x,y) points. You will want to print the Eliminating Parametrics WS to follow along and fill in the examples as you watch the video, then finish the worksheet. When done, you can check your answers!

Whew! Just a few more days left in the school year after this. You have done an awesome job working on all of this at home! Next week, we will finish up Parametric Equations with some applications.