Summer 2020 Math Workshop

We are offering four different math workshops that will help students brush up on their math skills or transition into a new year of math. All workshops are online and will meet for 6 weeks (18 hours total) either individually or in small groups of 2 or 3. Pricing for these options can be found below, followed by a more detailed description of each option.

• 1-on-1 | \$900 per student | \$75/hr
• 2-on-1 | \$660 per student | \$55/hr
• 3-on-1 | \$540 per student | \$45/hr

#### Prepare for Algebra I

This course will prepare students for Algebra I by ensuring that they have mastered all prerequisites and then may subsequently introduce them to ideas they will cover during Algebra I. Students will meet three times per week for one hour and will complete a short diagnostic test (about 20 minutes) prior to the beginning of the course, so that they may be accurately placed.

Throughout the class, we anticipate covering topics from pre-algebra that students either did not cover or covered during online classes due to the COVID-19 pandemic. We will emphasize skills necessary for success in Algebra I.

We will cover:

• Fractions on the Number Line
• Fractions: Reducing and Expanding
• Fractions: Adding, Subtracting, Multiplying, and Dividing
• Fractions as Ratios
• Ratios and Proportions
• Decimals on the Number Line
• Rounding Decimals
• Converting Decimals to Fractions (and vice versa)
• Negative Numbers
• Absolute Value
• Intro to Percents
• Percents to Decimals
• Percents to Fractions
• Percentages Word Problems
• Introduction to Variables
• Writing basic algebraic equations/inequalities
• Writing and solving one-step equations/inequalities
• Writing and solving multi-step equations/inequalities
• Intro to linear equations

#### Prepare for Algebra II

This course will prepare students for Algebra II by ensuring that they have mastered all prerequisites and then may subsequently introduce them to ideas they will cover during Algebra II.

Students will meet twice per week for 90 minutes and will complete a short diagnostic test (about 25 minutes) prior to the beginning of the course, so that they may be accurately placed.

Throughout the class, we anticipate covering topics from Algebra I that students either have not covered in more than a year or covered during online classes due to the COVID-19 pandemic.

We will cover:

• Solving Linear Equations and Inequalities
• Definition and Representations of a Function
• Inputs and Outputs of Functions
• Evaluating Functions
• Domain and Range of a Function
• Linear Functions and Graphs
• Slope-Intercept Form
• Point-Slope Form
• Interpreting Slope and y-intercept
• Addition, Subtraction, and Multiplication of Polynomials
• Special Products of Polynomials

#### Prepare for Precalculus

This course will prepare students for precalculus by ensuring that they have mastered all prerequisites and then may subsequently introduce them to ideas they will cover during precalculus. Students will meet twice per week for 90 minutes and will complete a short diagnostic test (about 25 minutes) prior to the beginning of the course, so that they may be accurately placed.

Throughout the class, we anticipate covering topics from Algebra II that students either did not cover or covered during online classes due to the COVID-19 pandemic. We will emphasize skills necessary for success in Precalculus and Calculus.

We will cover:

• Polynomial operations (addition, subtraction, multiplication)
• Polynomial factoring
• Polynomial division (synthetic and long division)
• Polynomial Identities
• Polynomial Graphs
• Quadratic Equations and Complex Numbers
• Exponential Models
• Transformations of Functions
• Trigonometry (Unit Circle Introduction)
• Rational Functions

#### Prepare for Calculus (or AP Calculus AB)

This course will prepare students for AP Calculus by ensuring that they have mastered all prerequisites and then will subsequently introduce them to basic ideas of calculus. Students will meet twice per week for 90 minutes and will complete three short diagnostic tests (about 15 minutes each) prior to beginning the course, so that they may be accurately placed.

Throughout the class, we anticipate covering topics from Algebra II and/or Precalculus that students either did not cover or covered during online classes due to the COVID-19 pandemic. We will emphasize skills necessary for success in Calculus.

We will cover:

• Definitions and Representations of Functions
• Different Types of Basic Functions (aka "Parent" Functions)
• Shifts, Stretches, and Reflections
• Exponential Functions
• Logarithmic Functions
• Trigonometric Functions
• Inverse Functions

Time dependent, we may also cover selected topics covered during Units 1 and 2 of AP Calculus AB

Limits and Continuity

• How limits help us to handle change at an instant
• Definition and properties of limits in various representations
• Definitions of continuity of a function at a point and over a domain
• Asymptotes and limits at infinity
• Reasoning using the Squeeze theorem and the Intermediate Value Theorem

Derivatives: Definition and Fundamental Principles

• Defining the derivative of a function at a point and as a function
• Connecting differentiability and continuity
• Determining derivatives for elementary functions
• Applying differentiation rules