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Integrated Math 2

High School

This is the second course in the Integrated Math pathway. Students will strengthen their algebra skills by exploring quadratics, radicals, and exponents while also expanding their knowledge of geometry with similarity, trigonometry, circles, and conic sections. Probability and data will also be introduced to build analytical skills.

Math 2 blends concepts from Algebra 2, Geometry, and Probability into a unified study. By the end of the course, students will:

Solve and graph absolute value, piecewise, quadratic, exponential, and trigonometric functions.
Explore irrational and complex numbers.
Apply properties of similarity, right triangles, circles, and conic sections.
Model exponential growth and solve probability problems.
Develop problem-solving strategies that connect algebra and geometry.

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Unit 1: Absolute Value & Piecewise Functions 4 Lessons | Total 120 min

1. 1: Introduction to Absolute Value 30 min

2. 2: Graphing Absolute Value Functions 30 min

3. 3: Defining Piecewise Functions 30 min

4. 4: Graphing Piecewise Functions 30 min

Unit 2: Quadratics – Multiplying & Factoring 4 Lessons | Total 120 min

1. 1: Multiplying Monomials by Polynomials 30 min

2. 2: Multiplying Binomials (FOIL) 30 min

3. 3: Factoring Quadratics (x² + bx + c) 30 min

4. 4: Special Products & Perfect Squares 30 min

Unit 3: Quadratic Functions & Equations 5 Lessons | Total 150 min

1. 1: Graphing Quadratic Functions (Parabolas) 30 min

2. 2: Solving Quadratics by Factoring 30 min

3. 3: Solving by Completing the Square 30 min

4. 4: Solving with the Quadratic Formula 30 min

5. 5: Comparing & Transforming Quadratics 30 min

Unit 4: Irrational Numbers 3 Lessons | Total 90 min

1. 1: Introduction to Irrational Numbers 30 min

2. 2: Operations with Irrationals 30 min

3. 3: Proofs Involving Irrational Numbers 30 min

Unit 5: Complex Numbers 5 Lessons | Total 150 min

1. 1: The Imaginary Unit 30 min

2. 2: Adding & Subtracting Complex Numbers 30 min

3. 3: Multiplying Complex Numbers 30 min

4. 4: Solving Quadratics with Complex Roots 30 min

5. 5: The Complex Plane 30 min

Unit 6: Rational Exponents & Radicals 4 Lessons | Total 120 min

1. 1: Properties of Rational Exponents 30 min

2. 2: Simplifying Radical Expressions 30 min

3. 3: Converting Between Radical and Exponential Form 30 min

4. 4: Solving Radical & Exponential Equations 30 min

Unit 7: Exponential Models 4 Lessons | Total 120 min

1. 1: Exponential Growth & Decay 30 min

2. 2: Writing Exponential Models 30 min

3. 3: Rate of Change in Exponential Functions 30 min

4. 4: Applications of Exponential Models 30 min

Unit 8: Similarity 4 Lessons | Total 120 min

1. 1: Similar Figures & Scale Factors 30 min

2. 2: Similar & Congruent Triangles 30 min

3. 3: Angle Bisector Theorem 30 min

4. 4: Proofs Using Similarity 30 min

Unit 9: Right Triangles & Trigonometry 5 Lessons | Total 150 min

1. 1: The Pythagorean Theorem 30 min

2. 2: Special Right Triangles (30-60-90, 45-45-90) 30 min

3. 3: Introduction to Trigonometric Ratios (sine, cosine, tangent) 30 min

4. 4: Solving Right Triangles with Trigonometry 30 min

5. 5: Distance & Midpoint in the Coordinate Plane 30 min

Unit 10: Solid Geometry 4 Lessons | Total 120 min

1. 1: 3D Figures & Cross Sections 30 min

2. 2: Cavalieri’s Principle 30 min

3. 3: Volume & Surface Area of Solids 30 min

4. 4: Density & Applications 30 min

Unit 11: Circles 6 Lessons | Total 180 min

1. 1: Circle Basics (Radius, Diameter, Chords, Tangents) 30 min

2. 2: Arcs & Arc Measures 30 min

3. 3: Radians vs Degrees 30 min

4. 4: Inscribed Angles & Polygons in Circles 30 min

5. 5: Tangents & Secants 30 min

6. 6: Circumcircle & Incircle Constructions 30 min

Unit 12: Conic Sections 4 Lessons | Total 120 min

1. 1: Introduction to Conic Sections 30 min

2. 2: Circles & Their Equations 30 min

3. 3: Parabolas – Focus & Directrix 30 min

4. 4: Applications of Conics 30 min

Unit 13: Probability 4 Lessons | Total 120 min

1. 1: Basics of Probability & Counting Principles 30 min

2. 2: Independent & Dependent Events 30 min

3. 3: Conditional Probability 30 min

4. 4: Probability Simulations & Real-World Models 30 min

Integrated Math 2

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