# Algebra 1 Proficiency Program

## Overview

The Catchup Math Algebra 1 Proficiency Program reviews the course content covered in Algebra 1 textbooks and is divided into six sequential sections. Pre-tests (quizzes) are given for each section, and students are assigned lessons based on incorrect answers. Re-teaching includes text lessons (in both English and Spanish), videos, activities, and practice problems with tutorial solutions. A student takes repeat quizzes and receives lesson-prescriptions until passing each section. Teachers can review student work written on our online whiteboard. Material from earlier courses and sections is often included and even repeated.

## Section 1

Adding and Subtracting Fractions, Cross Products, Functions, Greatest Common Factors, Mixed Numbers, Multiplying a Fraction by an Integer, Percent, Point-Slope Form, Prime Factorization, Reciprocals, Rectangle, Reducing Fractions, Slope, Slope-Intercept Form, Solving Linear Equations, Solving Multi-Step Linear Equations with Fractions, Solving One-Step Linear Equations with Mixed Numbers, Solving Two-Step Linear Equations, Word Problems.

## Section 2

Absolute Value, Adding and Subtracting Polynomials, Combining Like Terms, Cross Products, Distributive Property, Graphing Inequalities in One Variable, Graphing Linear Inequalities in Two Variables, Multiplying Polynomials, Number Line, Percent Increase and Decrease, Scientific Notation, Solving One-Step Linear Equations, Solving One-Step Linear Inequalities, Solving Systems of Linear Equations using Substitution, Systems of Linear Inequalities, Writing Systems of Linear Equations from Word Problems.

## Section 3

Arithmetic Sequences, Difference of Squares, Direct Variation, Distributive Property, Factoring, Greatest Common Factor of Monomials, Inverse Variation, Parallel and Perpendicular Lines, Parallelogram, Perpendicular Lines and Slopes, Simplifying Radical Expressions, Solving Rational Expressions, Slope-Intercept Form, Solving Radical Equations

## Section 4

Combinations, Compound Inequalities, Discriminant, Graphing Linear Equations, Graphing Quadratic Equations, Midpoint Formula, Parallel and Perpendicular Lines, Permutations, Quadratic Formula, Simplifying Rational Expressions, Slope.

## Section 5

Cross Products, Distance Formula, Distributive Property, Dividing by a Fraction, Exponential Functions, Exponents, Functions, Principal Value of a Square Root, Quotient of Powers Property, Reciprocals, Simplifying Radical Expressions, Simplifying Rational Expressions, Solving Linear Equations, Solving Multi-Step Linear Equations, Solving Quadratic Equations using Factoring, Solving Radical Equations, Solving Rational Equations, Vertical Line Test.

## Section 6

Axis of Symmetry of a Parabola, Box and Whisker Plots, Combinations, Combining Like Terms, Graphing Quadratic Equations, Interquartile, Mean, Median and Mode, Parabolas, Permutations, Principal Value of a Square Root, Probability, Pythagorean Theorem, Quadratic Formula, Quartiles, Reducing Fractions, Scatter Plots, Solving Quadratic Equations using Factoring, Vertex of a Parabola, X-Intercepts of a Parabola.