Tutoring Curriculum

Hey there! Are you ready to dive into our exciting Pre-Algebra course at Gwinnett Math Tutoring? This course is perfectly tailored to help you build a strong foundation in math before you jump into high school-level Algebra 1. Here’s the topics you will explore:

• Topic 1 – Integers and Expressions

  • Expressions; Variables; Powers and Exponents; Add, Subtract, Multiply and Divide Integers; The Coordinate Plane

• Topic 2 – Solving Equations

  • Properties and Operations; Variables and Equations; Solving by Adding, Subtraction, Multiplication and Division; Solving Decimal Equations

• Topic 3 – Multi-Step Equations and Inequalities

  • Two-Step Equations; Like Terms and Parentheses; Solving Inequalities

• Topic 4 – Factors, Fractions, and Exponents

  • Factors and Prime Factorization; Greatest Common Factor; Equivalent Fractions; Least Common Multiple; Exponents; Scientific Notation

• Topic 5 – Rational Numbers and Equations

  • Rational Numbers; Fraction and Fractional Equations; Inequalities and Rational Numbers

• Topic 6 – Ratio, Proportion and Probability

  • Ratios and Rates; Writing and Solving Proportions; Similarities; Scale Drawings; Probability and Odds; The Counting Principle

• Topic 7 – Percents

  • Percents and Fractions; Proportions; Percents and Decimals; Percent Applications; Simple and Compound Interest

• Topic 8 – Linear Functions

  • Relations and Functions; Two Variables; Slope of a Line; Slope Intercept form of a Line; Writing Linear Equations; Function Notation; Systems of Linear Equations; Graphs of Inequalities

• Topic 9 – Real Numbers and Right Triangles

  • Square Roots; The Pythagorean Theorem; Distance Formula and MidPoints; Special Right Triangles; Basic Trigonometry

• Topic 10 – Measurement; Area; and Volume

  • Triangles; Polygons and Quadrilaterals; Parallelograms; Trapezoids; Circle Circumference and Area; Surface Area; Volume of Pyramids and Cones

• Topic 11 – Data Analysis and Probability

  • Stem and Leaf Plots; Histograms; Box and Whisker Plots; Collecting and Interpreting Data; Permutations and Combinations; Independent and Dependent Events

• Topic 12 – Polynomials and Nonlinear Functions

  • Polynomials; Adding, Subtracting, Multiplying and Dividing Polynomials; Exponents; Quadratic Functions; Exponential Growth and Decay Functions; Sequences

Each topic includes engaging lectures, lots of practice problems, group activities, and a quiz to check your understanding. We’ll also have homework to reinforce what we learn in class, and I’ll be here to offer extra help whenever you need it. Plus, for those who want a bit more challenge, there are plenty of additional resources to explore.

So, are you ready to get started and make your math skills stronger than ever? Let’s do this together!