# Summer 2019 Math Tutoring Program

**One-Time Yearly Registration: **

**Price: $20**

In addition to completing the online registration, all of our clients must submit a one-time yearly registration fee. If your child has previously registered for the year, this fee will be waived.

**Diagnostic Assessment**

**Price: $30**

We strongly recommend that each client completes the math diagnostic test in order for us to obtain information regarding prior math knowledge and misconceptions. It will also serve as a baseline for understanding how much learning has taken place after concepts are taught. The diagnostic test must be scheduled and completed prior to the first tutoring session.

**Summer 2019 Tutoring Program:**

**Price: $360, One time payment OR Weekly payment of $70 for each two-hour session**

**Weekly, 2 Hour Sessions**

**Max Number of Participants Per Course: 5 **

The 6-week summer math tutoring program is provided to clients who are entering the 7^{th} grade, 8^{th} grade, and high school math courses in Fall of 2019. Each session will focus on content that is addressed in the Common Core Math Standards.

Below you will find group sessions that are available beginning, June 16, 2019. * Full payments made by June 2nd are subject to a 10% discount.* Weekly payments are available with no discount, and must be submitted no later than the day that the session is offered.

**Course Day & Time:**

**I. 7 ^{th} Grade Math**

*Monday*,*June*17, 24;*July*1, 8, 15, 22- 5:00 pm – 7:00 pm

**II. 8 ^{th} Grade Math**

*Sunday*,*June*23, 30; July 7, 21, 28, August 4- 10:00 am – 12:00 pm

**III. Algebra I**

*Sunday*,*June*23, 30; July 7, 21, 28, August 4- 12:00 pm – 2:00 pm

**IV. Geometry**

*Tuesday*,*June*18, 25;*July*9, 16, 23, 30- 5:00 pm – 7:00 pm

**V. Algebra II**

*Sunday*,*June*23, 30;*July*7, 21, 28; August 4- 2:00 pm – 4:00 pm

**VI. Precalculus**

*Thursday*,*June*20, 27;*July*11, 25;*August*1- 5:00 pm – 7:00 pm

*****For individual tutoring sessions outside of the days and times listed, please contact Excel At Math LLC.**

## The concepts that will be covered this summer are provided below.

**7 ^{th} Grade Math:**

- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a horizontal or vertical number line diagram.
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- Solve real-world and mathematical problems involving the four operations with rational numbers
- Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related.
- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and decimals), using tools strategically. Apply properties of operations to calculate with numbers in any form; convert between forms as appropriate; and assess the reasonableness of answers using mental computation and estimation strategies.

**8 ^{th} Grade Math:**

- Know and apply the properties of integer exponents to generate equivalent numerical expressions.
- Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other.
- Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities
- Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways.
- Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation
*y*=*mx*+*b*for a line intercepting the vertical axis at*b*.

**Algebra I:**

- Interpret expressions that represent a quantity in terms of its context.
- Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Create equations and inequalities in one variable and use them to solve problems.
- Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.
- Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
- Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

**Algebra II:**

- Explore the nature of inverse operations. Given graphs of relations, determine inverse relations using symmetry. Determine connections among symbolic, graphic, and numeric representations of inverse relations.
- Given a function, determine its inverse relation.
- Graph radical functions expressed symbolically and show key features of the graph.
- Graph radical functions expressed symbolically and show key features of the graph.
- Use quadratic and radical functions to model and solve problems.

** **

**Geometry:**

- Experiment with transformations in the plane
- Reflection
- Translation
- Rotation
- Dilation

- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Use the definition of congruence to explain why two figures are congruent.
- Use the definition of congruence in terms of rigid transformations to determine if two figures are congruent.
- Explore and apply Side Side Side (SSS), Side Angle Side (SAS), Angle Side Angle (ASA) and Angle Angle Side (AAS) criteria to prove triangle congruence.
- Demonstrate why Side Side Angle (SSA) and Angle Angle (AA) are not sufficient criteria to prove triangles congruent.
- Use triangle congruence criteria to determine if there is sufficient information to classify two triangles as congruent.

- Make geometric constructions

** **

**Precalculus:**

- Add, subtract, multiply, and divide rational expressions
- Find partial fraction decompositions of rational expressions, where the denominator is a product of distinct linear factors, and identify the impact on the graph.
- Simplify complex fractions.
- Solve rational equations.
- Solve polynomial inequalities when suitable factorizations are available.
- Solve rational inequalities when suitable factorizations are available.