Algebra 1

  • Variables in Algebra
  • Exponents and Powers
  • Order of Operations
  • Equations and Inequalities
  • Problem solving - Plan Models
  • Tables and Graphs
  • Introduction to functions
  • Review & Test
  • The Real Number Line
  • Real Numbers - Addition
  • Read Numbers - Subtraction
  • Real Numbers - Addition & subtraction using Matrices
  • Real Numbers - Multiplication
  • Distributive Property
  • Real Numbers - Division
  • Probability and Odds
  • Review & Test
  • Solving Linear Equations Using Addition & Subtraction - Real life Examples
  • Solving Linear Equations Using Multiplication & Division - Real life Examples
  • Solving Multi-Step Equations
  • Solving Equations With Variables on Both Sides
  • Linear Equations and Problem Solving
  • Solving Decimal Equations
  • Formulas and Functions
  • Rates, Ratios, and Percents
  • Review & Test
  • Coordinates and Scatter Plots
  • Graphing Linear Equations
  • Quick Graphs Using Intercepts
  • The Slope of a Line
  • Direct Variation
  • Quick Graphs Using Slope Intercept Form
  • Solving Linear Equations Using Graphs
  • Functions and Relations
  • Review & Test
  • Writing Linear Equations in Slope-Intercept Form
  • Writing Linear Equations Given the Slope and a Point
  • Writing Linear Equations Given Two Points
  • Fitting a Line to Data
  • Point-Slope Form of a Linear Equation
  • The Standard Form of a Linear Equation
  • Predicting With Linear Models
  • Review & Test
  • Solving One-Step Linear Inequalities
  • Solving Multi-Step Linear Inequalities
  • Solving Compound Inequalities
  • Solving Absolute Value Equations and Inequalities
  • Graphing Linear Inequalities in Two Variables
  • Stem-and-Leaf Plots and Mean, Median, and Mode
  • Box-and-Whisker Plots
  • Review & Test
  • Solving Linear Systems by Graphing
  • Solving Linear Systems by Substitution
  • Solving Linear Systems by Linear Combinations
  • Applications of Linear Systems
  • Special Types of Linear Systems
  • Solving Systems of Linear Inequalities
  • Review & Test
  • Multiplication Properties of Exponents
  • Zero and Negative Exponents
  • Division Properties of Exponents
  • Scientific Notation
  • Exponential Growth Functions
  • Exponential Decay Functions
  • Review & Test
  • Solving Quadratic Equations by Finding Square Roots
  • Simplifying Radicals
  • Graphing Quadratic Functions
  • Solving Quadratic Equations by Graphing
  • Solving Quadratic Equations by the Quadratic Formula
  • Applications of the Discriminant
  • Graphing Quadratic Inequalities
  • Comparing Linear, Exponential, and Quadratic Models
  • Review & Test
  • Adding and Subtracting Polynomials
  • Multiplying Polynomials
  • Special Products of Polynomials
  • Solving Polynomial Equations in Factored Form
  • Factoring x2 + bx + c
  • Factoring ax2 + bx + c
  • Factoring Special Products
  • Factoring Using the Distributive Property
  • Review & Test
  • Ratio and Proportion
  • Percents
  • Direct and Inverse Variation
  • Simplifying Rational Expressions
  • Multiplying and Dividing Rational Expressions
  • Adding and Subtracting Rational Expressions
  • Dividing Polynomials
  • Rational Equations and Functions
  • Review & Test
  • Functions Involving Square Roots
  • Operations with Radical Expressions
  • Solving Radical Equations
  • Completing the Square
  • The Pythagorean Theorem and Its Converse
  • The Distance and Midpoint Formulas
  • Trigonometric Ratios
  • Logical Reasoning: Proof


Algebra 1 is an important course that introduces middle school students to various topics in Algebra. During this course, students will learn about variables, algebraic expressions, equations, inequalities, functions, and all their multiple representations. By exploring and solving real-world application problems, students will develop mathematical literacy that is essential for success in future math courses. Graphing calculators will be used, and students will learn to clearly communicate their mathematical ideas. 

By the end of the course, students will have developed the ability to simplify or identify equivalent algebraic expressions, represent math relationships using symbolic algebra, differentiate between linear and nonlinear functions, model and describe slope as a rate of change, identify the slope from a graph, table, or equation, evaluate variable expressions and functions, identify an equation of a line from given information, recognize the general shape and properties of functions from graphs, tables, or equations, interpret the role of coefficients and constants on graphs of linear or quadratic functions, analyze functions through investigation of domain, range, rates of change, intercepts, and zeros, model problems using functions and relations, create and connect representations that are tabular, graphic, numeric, and symbolic from a set of data, represent quantitative relationships graphically, interpret the meaning of the graph in relation to a certain situation, interpret and solve linear equations and inequalities, solve and interpret graphs of systems of equations and inequalities.

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How Refresh Kid Program works ? 

We follow the US Common Core curriculum, especially as per your School State Standards. Our goals are to 

1) Make sure Students understand the concept clearly, 

2) Get enough practice to Master the topics.

3) Talk to the Math Teacher during the sessions for any Homework/ Assignment Help. 

Parents usually pick one of these goals:

 1) Catch up to the grade level and give them enough practice so they can perform well in the class. 

2) Just align to the class and go a little ahead in the class curriculum 

3) Exceeding expectations of the grade level and preparing well for Math Competitions like Math Olympiad, Math League, Noetic Math, AMC8, Math Kangaroo, Math Counts. 

We have Monthly Competition within Refresh Kid students in the same level as your child. 

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Please Note: Refresh Kid offers after school math services to help students increase their mastery of the subject. It is important to note that our services are intended to complement and enhance the regular school curriculum, and not to replace it. As such, all students who seek extra help from Refresh Kid are expected to attend and engage in a strong school curriculum. Our services are not a substitute for regular class attendance and participation. 

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