Castle Learning Online

Math B

Castle Learning Online's Math B is the second of two courses in a series that also includes Math A. Hundreds of multiple choice questions are worked out in full detail, with links to hints, reasons, and vocabulary definitions. Reference tables included.

Units: (click to view Sections)

Number Systems
Sections:
1. Real Numbers
2. Properties of Finite Number Systems
3. Exponents and Logarithms
Intermediate Algebra
Sections:
1. Adding & Subtracting Algebraic Fractions
2. Solving Linear Equations with Algebraic Fractions
3. Simplifying Algebraic Expressions by Factoring
4. The Quadratic Formula
5. Algebraic Fractions & Linear Equations
6. Radical Equations
7. Exponential Equations
8. Logarithms
9. Roots of Quadratic Equations
10. Absolute Value
11. Inverse Variation
12. Relations and Functions
13. Summations
Geometry
Sections:
1. Geometric Proofs
2. Inscribed and Central Angles
3. Chords in a Circle
4. Tangents and Secants to a Circle
5. Geometry of a Circle
Trigonometry
Sections:
1. Trigonometric Ratios of Acute Angles
2. Angle Measurement: Degrees and Radians
3. Extended Definitions of Trigonometric Ratios
4. Pythagorean and Quotient Identities
5. The Law of Cosines
6. The Law of Sines
7. The Area of a Triangle
8. The Sum and Difference of Two Angles
9. Double and Half Angle Identities
10. Trigonometric Equations
Graphing and Transformations
Sections:
1. The Basic Equation of a Parabola
2. Coordinate Geometry Proofs
3. Inequalities
4. Composition of Transformations
5. Ellipses & Hyperbolas
6. Exponentials and Logarithms
7. Trigonometric Functions
8. The Complex Coordinate Plane
Probability and Statistics
Sections:
1. Binomial Expansions
2. Bernoulli Experiments
3. Mean, Standard Deviation, and the Normal Distribution
4. Regression and Curve Fitting

Themes:

Mathematical Reasoning
Number and Numeration
Operations
Modeling and Multiple Representation
Measurement
Uncertainty
Patterns and Functions

Attributes:

Diagram
Table
Graph
Word Problem