**High School & **

**College Math**

## Start your classes today and get the results tomorrow.

- –Algebra 1,2
- –Integrated Math 1, 2 and 3
- –Geometry
- –Trigonometry
- –Pre-Calculus / Calculus

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## High School Math

We are proud to offer top-quality math classes conducted by experienced professionals. Our students will not only learn math formulae, but also will take on word problem solving. All high school and college math classes correspond to the educational standards of California and are conducted one-on-one or in small group settings. With this approach, the instructors are able to assess each student’s level and tailor the classes to fit everyone’s needs. Some of our classes focus primarily on homework help, others – on test preparation or on challenging advanced students to think in creative ways.

## Algebra 1, 2

Our classes give students a solid understanding of the main algebraic concepts and prepare them for high school math. This course includes standards from the categories of Number and Quantity, Algebra, Functions, Statistics and Probability, Properties of Rational and Irrational Numbers. . Whether a student is struggling at the bottom of the class or trying to bump** **that A− up to an A+, LMLC takes a customized approach to making sure the class is the right fit for the student.

**Topics:**

- Linear equations with one and multiple variables
- Systems of linear equations & inequalities
- Exponential and Logarithmic Functions
- Integer exponents
- Exponential relationships
- Simple exponential equations
- Laws of exponents
- Quadratic functions; analysis and solution
- Complex Numbers
- Absolute value, step and precise-defined functions
- Domain and range
- Graphical, numerical, symbolic, and verbal interpretation of functions
- Linear models
- Polynomials
- Reasoning
- Application of algebraic expressions to solve math and real-life problems
- Statistics and Probability

## Geometry

These classes cover the school program, formalize and extend students’ geometric experiences from the previous grades, spatial sense and abstract thinking and teach them construct viable arguments and apply logic and proofs to solve various problems. This course includes standards from the conceptual categories of Geometry, Statistics, and Probability.

**Topics:**

- Basic geometric definitions and postulates
- Transformations in the plane
- Congruence in terms of rigid motions
- Geometric constructions
- Geometric theorems
- Similarity. Criteria for similarity of triangles
- Types of triangles
- Trigonometric ratios and problems involving right triangles
- Circles. Circumference, area, and volume formulas;
- Arc length and area of circle sectors.
- Pythagorean Theorem and its application to the coordinate plan
- Expression of geometric properties with algebraic equations
- Geometric measurement and dimension. Two and three-dimensional objects
- Modeling with Geometry
- Statistics and Probability. Conditional Probability and the Rules of Probability

## Trigonometry

This course will help students to succeed at school, by gaining deep understanding of the relationships between side lengths and angles of triangles and learning six basic trigonometric ratios: sine, cosine, tangent, co secant, secant and cotangent.

**Topics:**

- Definitions of Basic Trigonometric Functions
- Pythagorean Identities
- Quotient Identities
- Numerical Values of Sine, Cosine, and Tangent for the Key Angles in Degrees and Radians
- Amplitude, Period, and Phase Shift
- Arc Length Formula
- Double-angle Formulas
- Half-angle Formulas
- Sum and Difference Formulas
- Graph of Six Basic Trigonometric Functions
- Law of Sines
- Law of Cosines
- Vectors
- Polar Graphs
- Linear and Angular Velocity
- Area of triangles
- DeMoire’s Theorem
- Finding the nth Root of a Complex Number
- Conic Sections
- Inverse Trigonometric Functions
- Small Angle Approximations

## Pre-Calculus

These classes will systematize the knowledge and skills gained at algebra and trigonometry courses and get the students ready for the study of calculus.

**Topics:**

- Rational and Irrational Numbers
- Completing the Square to Solve Polynomials
- Synthetic Division
- Points of Inflection and Concavity
- Reflections of a Graph about the X-axis, Y-axis, and the Origin
- Symmetry of a Graph
- Odd and Even Functions
- Translations of a Graph
- Singularities
- Reciprocal Functions
- Horizontal and Vertical Asymptotes, and Slant
- Sigma Notation for Sums
- Factorials & Factorial Representations
- Permutations and Combinations
- Fundamental Principle of Counting
- Binary and Hexadecimal Numbers
- The Binomial Theorem
- Pascal’s Triangle
- Multiplication of Sums
- Mathematical Induction
- Logarithms
- Piece-wise Functions
- Slope of Lines and Polynomials, Functions, etc.
- Functions: Domain, Range, and Composition
- Roots and Rational Exponents
- Equations with Logarithms and Exponential
- Exponential Growth and Decay
- Sequences and Series
- Introduction to Calculus (Limits, Derivations, Riemann Sums)

**What Makes LMLC Right for you?**

# What can we provide for you?

• New skills

• Challenging programs for advanced students

• Homework assistance

• Grade improvement

• Test preparation

**Affordable Prices**

## AWARDS AND TESTIMONIALS

### Best Test prep center in 2020

### Best Test prep center in 2016

### Best Test prep center in 2018

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