Genius Lab | Courses Detail

Algebra 1

High School

This Algebra I course establishes algebraic thinking needed for higher math (Algebra II, Geometry). Students learn to simplify expressions, manipulate exponents and radicals, solve linear and quadratic equations, analyze functions, and interpret data. Instruction balances symbolic work, graphical interpretation, and real-world applications.

Students begin by building algebraic foundations and progress through problem solving with units, percent, ratios and proportions, exponents, radicals, polynomials, rational expressions, and quadratics. Emphasis is placed on translating word problems to equations, choosing efficient solution methods, and using multiple representations (equations, tables, graphs, verbal). The course also introduces matrix basics, absolute value, and elementary statistics & probability.

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Unit 1: Algebraic Foundations 3 Lessons | Total 120 min

1. 1: Language of Algebra 40 min

2. 2: Order & Structure 40 min

3. 3: Algebraic Manipulation 40 min

Unit 2: Word Problems & Modeling 3 Lessons | Total 120 min

1. 1: Problem Solving Basics 40 min

2. 2: Modeling Linear Situations 40 min

3. 3: Multi-Step & Contextual Problems 40 min

Unit 3: Percent Notation 3 Lessons | Total 120 min

1. 1: Converting Notation 40 min

2. 2: Percent Applications 40 min

3. 3: Compound Percent Situations 40 min

Unit 4: Ratios, Proportions & Counting Basics 3 Lessons | Total 120 min

1. 1: Ratios & Rates 40 min

2. 2: Solving Proportions 40 min

3. 3: Counting, Permutations & Combinations (intro) 40 min

Unit 5: Real Numbers & Number Sense 3 Lessons | Total 120 min

1. 1: Types of Numbers 40 min

2. 2: Operations & Approximations 40 min

3. 3: Absolute Value (preview) & Number Properties 40 min

Unit 6: Exponents & Exponential Expressions 3 Lessons | Total 120 min

1. 1: Exponent Rules Basics 40 min

2. 2: Advanced Exponent Work 40 min

3. 3: Scientific Notation & Applications 40 min

Unit 7: Radical Expressions 3 Lessons | Total 120 min

1. 1: Roots & Radicals 40 min

2. 2: Simplifying Radical Expressions 40 min

3. 3: Operations with Radicals 40 min

Unit 8: Algebraic Expressions & Linear Equations 3 Lessons | Total 120 min

1. 1: Building & Simplifying Expressions 40 min

2. 2: Solving Linear Equations 40 min

3. 3: Applications of Linear Equations 40 min

Unit 9: Algebraic Distribution & Special Products 3 Lessons | Total 120 min

1. 1: Advanced Uses of Distributive Property 40 min

2. 2: Special Products & Shortcuts 40 min

3. 3: Practical Algebra Tools 40 min

Unit 10: Functions (concepts & notation) 3 Lessons | Total 120 min

1. 1: What is a Function? 40 min

2. 2: Linear Functions & Multiple Representations 40 min

3. 3: Function Operations & Inverse (intro) 40 min

Unit 11: Inequalities (1- & 2-variable) 3 Lessons | Total 120 min

1. 1: One-Variable Inequalities 40 min

2. 2: Absolute Value Inequalities 40 min

3. 3: Two-Variable Linear Inequalities 40 min

Unit 12: Linear Equations & Systems (graphs & algebra) 3 Lessons | Total 120 min

1. 1: Slope & Forms of a Line 40 min

2. 2: Systems of Linear Equations 40 min

3. 3: Systems Applications 40 min

Unit 13: Factoring (numbers & polynomials) 3 Lessons | Total 120 min

1. 1: Numeric Factoring & GCF 40 min

2. 2: Factoring Trinomials 40 min

3. 3: Special Factorization 40 min

Unit 14: Quadratic Functions & Equations 3 Lessons | Total 120 min

1. 1: Quadratic Graphs 40 min

2. 2: Solving Quadratics 40 min

3. 3: Quadratic Applications 40 min

Unit 15: Polynomials (operations & division) 3 Lessons | Total 120 min

1. 1: Polynomial Arithmetic 40 min

2. 2: Polynomial Division 40 min

3. 3: Polynomial Modeling 40 min

Unit 16: Rational Expressions & Equations 3 Lessons | Total 120 min

1. 1: Simplifying Rational Expressions 40 min

2. 2: Operations with Rational Expressions 40 min

3. 3: Solving Rational Equations 40 min

Unit 17: Matrices (intro) & Absolute Value Revisited 3 Lessons | Total 120 min

1. 1: Matrix Basics 40 min

2. 2: Determinants & 2×2 Systems (intro) 40 min

3. 3: Absolute Value Equations & Systems 40 min

Unit 18: Statistics & Probability (intro) 3 Lessons | Total 120 min

1. 1: Descriptive Statistics 40 min

2. 2: Probability Basics 40 min

3. 3: Interpreting Data & Displays 40 min

Algebra 1

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