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Professor Kitty's Epic Precalculus - Entire Course Taught Thoroughly in a Summer

Completed by 55 learners
Ages 13-18
Live Group Class
#academic - Early Bird price in the spring. Detailed function analysis, trigonometry, vectors, conics, matrices, limits. Focus on high energy interesting instruction- perfect to complete pre-calc or us for a thorough preload for school yr!
Average rating:
5.0
Number of reviews:
(416 reviews)
Popular

Live video meetings
2x per week
3-12 learners per class
75 min

What's included

2 live meetings
2 hrs 30 mins in-class hours per week
Assessment
The learner's progress is assessed by how well the learner participates in the interactions during class.

Class Experience

US Grade 9 - 12
Advanced Level
Your learner is going to love this!\

Before I show you how your learner can have a thorough instruction of a complete course of Precalculus in just 3 months, let me begin by sharing how other parents have seen their learners grow under my teaching:
Here are some reviews from classes here on Outschool to show what I mean...

From CT - 
Love this teacher! My kids are requesting more of her classes. Thank you teacher Kitty! 
Energetic and patient teacher. I accidentally signed up my younger son with his older brother and she made the class interesting for both of them and they asked to join another class of teacher Kitty.  Thank you !

From William-
Wonderful class. The class speed was just right, and our daughter was able to follow along relatively well. She benefited greatly from this opportunity to reinforce her understanding the solving quadratic equations. Thanks!!!

From Dillon-
This the second linear equation class my son took from Teacher Kitty.  My son felt he learned a lot on this subject and took very useful notes, and gained a lot more confidence than when he just started learning it.  

From Mary -
I am really pleased that our first lesson at Outschool was such a fantastic one. Kitty is really good and my son loved that he could understand her clearly (initially worried as he is not American or in America ) I observed that she really took her time to explain terminologies and she gave the class more time to really grasp the lesson. My shy son eventually came out of his shell and contributed to the class. We are looking forward to more classes with her.

Learners in this class will focus on  the following topics:

Functions
      Week 1
        1st Meeting
           Linear, Quadratic, Piecewise and Absolute Value
           Higher Degree Polynomials
        2nd Meeting
           Polynomial Sketching and Operations

Exponential and Log Functions including deep study into...
     Week2
        1st Meeting
                 Exponentials
                    Plotting
                    Transforming
         2nd Meeting
                 Logs
                     Solving
                     Applying

Radical Functions
       Week 3
         1st Meeting
                 Exponentials
                    Plotting
                    Transforming
                     Solving
                     Applying
         2nd Meeting
                 Review of 1st 3 Weeks

Rational Functions
       Week 4
         1st Meeting
                 Operations and Simplifying
                 Plotting
         2nd Meeting
                 Advance Graphing
                 Transforming     
       Week 5   
         1st Meeting     
                 Partial Fractions
         2nd Meeting
                 Solving Rational Functions

Composite Functions
       Week 6
         1st Meeting     
                 Plotting
                 Transforming
                 Solving
                 Applying   
         2nd Meeting
                 Review of Weeks 4-6

Trigonometry 
       Week 6
          1st Meeting     
            Unit Circle
             Applications
               Trig Identities  
         2nd Meeting  
              Trig Curves
              Transformation of Trig Functions
     Week 7
         1st Meeting   
              Fluency in Unit Circle
              Fluency in Trig Identities
              Fluency in Trig Curves
              Fluency in Transformation of Trig Functions  
         2nd Meeting  
              Mid-term Exam Prep

Advanced Trigonometry
       Week 8
         1st Meeting     
             Law of Sines and Cosines
              Angle  Addition Identities
              Angle Subtraction Identities
         2nd Meeting  
               Trig Double Angle Identities
               Advance Trig Identity Verification

Conics
      Week 9
         1st Meeting     
             Hyperbolas, Ellipses
         2nd Meeting  
             Circles and building fluency
       
Vectors
      Week 10
         1st Meeting  
              Component and Polar
              Complex numbers as vectors
         2nd Meeting  
              Polar Graphs
              Polar to Coordinate and vice versa

Matrices
      Week 11
         1st Meeting
              Systems of Equations
              Linear Algebra     
         2nd Meeting  
              Intro to Matrices
              Manipulating and Applying Matrices



Series and Sequences
      Week 12
         1st Meeting     
         2nd Meeting  

      Week 13
         1st Meeting   
               Final Exam Review  
         2nd Meeting
              What is Calculus
              What is a Limit

Learning Goals

At the end of this course, your learner will be able to say, "I am ready for Calculus because I can fully describe , graph, analyze, transform and explain functions including trig functions and log functions."

Other Details

Parental Guidance
Parents should make sure their learners are ready to dig deep into advanced concepts, so that Algebra 2 function skills and geometry should already be mastered. The course assumes they have strong foundational skills in the following: 1) Function graphing, solving and transforming 2) Exponentials and logarithms 3) Rational Functions 4) Sine, Cosine, Tangent 5) Right Triangle geometry 6) Algebraic manipulation of advanced equations
Pre-Requisites
Algebra 1, Algebra 2, Geometry
Supply List
Students should also have a pencil,  and graph paper.  I would prefer that no calculator is used for this class.
It is not required, but if your student would like to collaborate with the class by writing on the screen, it might be worth your while to invest in a stylus pad. These used to be expensive but are quickly becoming more affordable. I have students work through problems together. Usually the student dictates to me what they are thinking and I write their solutions on the screen real time so that the class is working together. If you student would like to do his/her own writing on the screen, these stylus pen/pad sets are a great idea!
 1 file available upon enrollment
External Resources
Learners will not need to use any apps or websites beyond the standard Outschool tools.
Sources
No additional sources are needed for this class. I will sometimes use problems from Khan Academy's and College Board's resource pages for Algebra.

Meet the teacher

5.0
416reviews
Popular
Profile
Teacher expertise and credentials
South Carolina Teaching Certificate in Mathematics
South Carolina Teaching Certificate in Science
South Carolina Teaching Certificate
Master's Degree from Case Western Reserve University
Bachelor's Degree in Science from University of Virginia
I've been certified in the public schools for teaching math in middle and high schools. I received additional certified training for gifted and talented learners. I taught math for sixteen years and I've been a personal SAT tutor for seven years. My students have typically raised their scores between 100 and 300 points.  As a chemical engineer and project management professional in the world of business consulting and information technology consulting, I've completed over five levels of college calculus and applied mathematics and used these math and computing skills throughout my career.  

The students I have taught had varying learning abilities that ranged from one with pronounced learning disabilities to gifted and talented. When it came to PSAT's and SAT's, each of them with impressive improvements in their scores. 

It can be done!  I used a focused approach. We honed in on trouble areas, really understood the underlying math concept, and drilled for mastery.  

Reviews

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