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MATH II (Plus H)

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  • Taught by Dr. Ahn

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  • This course contains a heavy load of Geometry.

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  • Math II or Math II Plus H is taken by majority of 9th graders in the ABC Unified School District.

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  • Advanced students take Math II Plus Honor course which covers some Math III materials.

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  • Materials combine Algebra with Trigonometry, Geometry and Statistics.

Picture above: Dr. Ahn is doing the final exam review for Whitney High students (Math II Plus H). After Covid, Dr. Ahn is teaching Zoom online one-on-one private. - Images are blurred for privacy.

Number and Quantity

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  • Open Intervals and Closed Intervals

  • Simplifying Polynomials by Arithmetic Operations

  • Introduction to Complex Numbers

  • Factoring Trinomials

  • Calculation of Powers of i

  • Conjugates of Imaginary Numbers

  • Arithmetic Operations of Imaginary Numbers

  • Rationalizing the Denominator using Conjugates

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Algebra

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  • Quadratic Formula and Discriminant

  • Solving Quadratic Equations by using Factoring, Completing Square, and Quadratic Formula

  • Solving Quadratic Inequalities

  • Solving Quadratic Equations with Complex Roots

  • Linear Piecewise Functions

  • Step Functions

  • Linear Functions: Slope-Intercept Formula, Point-Slope Formula

  • Perpendicular Slopes

  • Equation of a Circle - Center, Radius

  • Equation of a Parabola - Vertex, Axis of Symmetry, Focus, Directrix

  • Rewrite Equations of Circle, Parabola in Standard Form

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Functions

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  • Introduction to Quadratic Functions

  • Standard Form and Vertex Form and Intersect (Factored) Form of Quadratic Functions

  • Vertex, Axis of Symmetry, x-Intercepts, y-Intercepts

  • Vertical and Horizontal Dilation

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Statistics and Probability

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  • Counting Principle

  • Disjoint Sets and Intersecting Sets

  • Independent and Conditional Probability

  • Compound Events in a Uniform Probability Model

  • Permutation and Combination

  • Expected Values and use Probability to Evaluate the Outcomes

Geometry

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  • Collinear Points, Coplanar Lines, Skew Lines

  • Line Segments, Rays

  • Distance Formula, Midpoint Formula

  • Geometric Transformation on x-, y- Coordinates

  • Midsegment Bisector, Angle Bisector, Perpendicular Bisector

  • Circumcenter, Incenter, Median, Centroid, Orthocenter

  • Induction and Deduction

  • Conditional Statements and Counterexamples

  • Theorems related to Supplementary Angles, Complementary Angles, Vertical Angles, Corresponding Angles, Alternate Interior Angles, Exterior Angles, etc

  • Column Proofs and Paragraph Proofs

  • Reflexive, Transitive Properties and others

  • Special Right Triangle Theorems

  • Triangle Remote Interior Angle Theorem and Others

  • Triangle Congruence Theorems

  • Triangle Similarity Theorems

  • Triangle Midsegment Theorem, Proportional Segment Theorem, Angle Bisector Theorem

  • Geometric Mean

  • Theorems related to Isosceles Triangles

  • Properties and Theorems related to Quadrilaterals (Square, Rectangle, Parallelogram, Rhombus, Trapezoid, Isosceles Trapezoid, Kite)

  • Properties of Polygons - Sum of Interior Angles, Each Angle in Regular Polygons

  • Trigonometry - Definitions of Sine, Cosine, Tangent, Cosine, Secant and Cotangent

  • Circles - Central Angles, Inscribed Angles, Major Arc, Minor Arc, Degree Measure of an Arc

  • Various Theorems related to Circles

  • Problems related to Sector of a Circle

  • Linear Velocity and Angular Velocity

  • Inscribed Polygon or Circumscribed Polygon inside a Circle

  • Volumes of Circle, Cylinder and Prism​

OVERVIEW - California Standards
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