Genius Lab | Courses Detail

Integrated Math 1

High School

Integrated Math 1 builds foundational skills across multiple areas of mathematics. Students will explore algebraic reasoning, linear equations, inequalities, functions, transformations, geometry, probability, and statistics. The course emphasizes critical thinking, connections between concepts, and practical applications.

This course provides a balanced approach to Algebra, Geometry, and Statistics for Grade 9. Students will begin with algebra foundations and progress to solving equations, graphing functions, analyzing scatterplots, and studying transformations in geometry. They will also explore data distributions, sequences, exponential growth, and coordinate geometry. By the end of the course, students will be equipped with problem-solving strategies that prepare them for higher-level math.

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Unit 1: Algebra Foundations 2 Lessons | Total 60 min

1. 1: Introduction to Variables 30 min

2. 2: Simplifying Expressions 30 min

Unit 2: Solving Equations & Inequalities 2 Lessons | Total 60 min

1. 1: Linear Equations 30 min

2. 2: Inequalities 30 min

Unit 3: Working with Units 4 Lessons | Total 120 min

1. 1: Measurement & Conversions 30 min

2. 2: Units and Dimensional Analysis 30 min

3. 3: Converting Between Systems (Metric/US) 30 min

4. 4: Real-World Word Problems with Units 30 min

Unit 4: Linear Equations & Graphs 2 Lessons | Total 60 min

1. 1: Graphing Basics 30 min

2. 2: Applications of Linear Graphs 30 min

Unit 5: Forms of Linear Equations 4 Lessons | Total 120 min

1. 1: Different Forms 30 min

2. 2: Point-Slope Form 30 min

3. 3: Standard Form of a Linear Equation 30 min

4. 4: Converting Between Forms 30 min

Unit 6: Systems of Equations 2 Lessons | Total 60 min

1. 1: Solving Systems 30 min

2. 2: Applications 30 min

Unit 7: Inequalities (Systems & Graphs) 4 Lessons | Total 120 min

1. 1: Linear Inequalities in Two Variables 30 min

2. 2: Graphing Linear Inequalities 30 min

3. 3: Systems of Inequalities 30 min

4. 4: Real-World Applications 30 min

Unit 8: Functions 2 Lessons | Total 60 min

1. 1: Understanding Functions 30 min

2. 2: Function Operations 30 min

Unit 9: Scatterplots 4 Lessons | Total 120 min

1. 1: Data Representation 30 min

2. 2: Creating Scatterplots 30 min

3. 3: Identifying Correlation 30 min

4. 4: Best Fit and Trend Lines 30 min

Unit 10: Data Distributions 2 Lessons | Total 60 min

1. 1: Displaying Data 30 min

2. 2: Measures of Central Tendency 30 min

Unit 11: Two-Way Tables 4 Lessons | Total 120 min

1. 1: Introduction to Two-Way Tables 30 min

2. 2: Reading Two-Way Tables 30 min

3. 3: Constructing Two-Way Tables 30 min

4. 4: Relative Frequency Tables 30 min

Unit 12: Sequences 4 Lessons | Total 120 min

1. 1: Types of Sequences 30 min

2. 2: Arithmetic Sequences 30 min

3. 3: Geometric Sequences 30 min

4. 4: Recursive vs Explicit Formulas 30 min

Unit 13: Exponents & Radicals 2 Lessons | Total 60 min

1. 1: Exponent Rules 30 min

2. 2: Radical Expressions 30 min

Unit 14: Exponential Growth & Decay 2 Lessons | Total 60 min

1. 1: Exponential Functions 30 min

2. 2: Decay Models 30 min

Unit 15: Performing Transformations 2 Lessons | Total 60 min

1. 1: Rigid Motions 30 min

2. 2: Dilations 30 min

Unit 16: Transformation Properties and Proofs 2 Lessons | Total 60 min

1. 1: Transformation Properties 30 min

2. 2: Proofs 30 min

Unit 17: Congruence 4 Lessons | Total 120 min

1. 1: Defining Congruence 30 min

2. 2: What Does Congruence Mean? 30 min

3. 3: Triangle Congruence Postulates (SSS, SAS, ASA, AAS, HL) 30 min

4. 4: Proving Congruence in Polygons 30 min

Unit 18: Analytic Geometry 4 Lessons | Total 120 min

1. 1: Coordinate Geometry 30 min

2. 2: Distance and Midpoint Formulas 30 min

3. 3: Slope Criteria for Parallel & Perpendicular Lines 30 min

4. 4: Proving Geometric Theorems in the Coordinate Plane 30 min

Integrated Math 1

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