Session I: Algebra II Review

  • Review all Algebra II, Trigonometry concepts such as: graphing functions, manipulating equations, solving complex (xy) equations, systems of equations.
  • Trig functions’ concepts, graphs of parent functions (sin, cos, tan) special right triangles, unit circle values,
  • Converting between radian and degrees,
  • Properties of logs and exponential functions.

Session II: Trig functions and Identities

  • Begin trig identities. Cover all the identities of the 6 main trig functions, verify identities with equations
  • Teach how to graph all trig functions with adjustments, amplitude, period, asymptotes, ect.

Ex) Graph: 2sin(3x+ pi)

Session III: Solving Trig Functions and Identities

  • Teach solving trig functions for values of x/q using unit circle
  • Find exact values of trig functions
  • Use sum and difference and product to sum formulas to solve for exact values

Ex) cos(x+p) = ?
Ex)  sin(195°) = ?
Ex) 2sin2(x) +sqrt(3) = sinx

Session IV: PFD

  • Teach Partial Fraction Decomposition. *Needs a whole lesson due to complexity of topic.

Session V: Mid-Summer Review

  • Review Partial Fraction Decomp. with many examples, review or introduce long division of polynomials (should be review because the material should have been taught in Algebra II)
  • Review all properties and rules of Logarithmic and exponential functions and do many algebraic examples,
  • Finally, if there is time remaining, introduce the topic of Sequences, Series, and Summations.

Session VI: Sequences, Series, and Summations

  • Introduce Sequences, Series and Summations:
  • Distinguish arithmetic and geometric, provide formulas, express notation (extremely important to correctly understand and use notation)

Arithmetic: An = a1 + (n-1)d

Where An is the nth term in the sequence, a1 is the first term, n is the term to be found and d is the difference between consecutive terms

Geometric: An = a1(rn-1)

Where An is the nth term in the sequence, a1 is the first term, n is the term to be found and r is the multiple difference between consecutive terms.

Summation Notation: S1n Areads: Summation from 1 to n of the series, An

Session VII: Limits

  • Begin the concept of Limits. What a limit is, how it works, why it is useful.
  • Explain the concept of continuity, asymptotes, holes and how a limit ties in with those less abstract concepts.
  • Introduce how to evaluate a limit of a function and discuss methods for different functions, proper and improper.

Session VIII: Derivatives and Review

  • Introduce the Derivatives of functions.
  • Provide physics background, position, velocity, acceleration as a explanation of a derivative and what it does/how it works.
  • Relate to rates of change previously learned, tangent lines.
  • Explain basic rules: chain rule, product, quotient.
  • Give known derivatives of functions that have already been taught: sin, cos, tan, ex, ln(x) ect.
  • *Stress notation here as-well:
  • With time remaining, briefly review all material covered


Tutor Zone Methodology

Many tutoring organizations can claim to have individualized instruction, but Tutor Zone is one tutoring center that promises one full hour of one-on-one tutoring. This gives the opportunity for the student and tutor to work on concepts they are struggling with. Furthermore, your child will work with the same tutor every single time which allows them to build a solid relationship with one another.

Why Tutor Zone

Tutor Zone has been a place that has helped solidify skills for students for more than 10 years. We understand students may not want to go to tutoring. However, our methods and our approach towards education make learning enjoyable. This is one place we assure parents their children will love coming to. Each individualized lessons breaks down concepts in step by step making sure students grasp the concept and don't just memorize.