Castle Learning Online

Math A

Castle Learning Online's Math A is the first of two courses in a series that also includes Math B. 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 & Logic
Sections:
1. Integers and Rational Numbers
2. Properties of Real Numbers
3. Decimals, Fractions & Percentages
4. Scientific Notation
5. Irrational Numbers, Square Roots, and Powers
6. Factorials
7. Properties of Finite Number Systems
8. Logical Statements
9. Logical Reasoning
Introduction to Algebra
Sections:
1. Evaluating Algebraic Expressions
2. Addition & Subtraction of Polynomials
3. Solving Linear Equations in One Variable
4. Inequalities
5. Multiplication of Polynomials
6. Factoring Polynomials
7. Rational Expressions & Division of Polynomials
8. Solving Quadratic Equations by Factoring
9. Ratios, Proportions, & Direct Variation
10. Solving Systems of Equations & Inequalities
11. Word Problems
12. Adding & Subtracting Algebraic Fractions
13. Solving Linear Equations with Algebraic Fractions
14. Solving Systems of Equations
The Geometry of Triangles
Sections:
1. Angle Measurement
2. Parallel Lines, Transversals, and Angles
3. Basic Properties of Triangles
4. The Triangle Inequality
5. Interior and Exterior Angles
6. Congruence and Similarity in Triangles
7. Special Properties of Right Triangles
8. Trigonometric Ratios in Right Triangles
The Geometry of Other Figures
Sections:
1. Properties of Quadrilaterals
2. Parallelograms and Rectangles
3. Rhombuses and Squares
4. Trapezoids and Other Polygons
5. Area and Perimeter of Polygons
6. Circles
7. Combinations of Figures
8. 3-Dimensional Figures
9. Locus of Points
10. Constructions Using Compass and Straightedge
Graphing and Transformations
Sections:
1. The Real Number Line
2. The Coordinate Plane
3. The Basic Equation of a Line
4. Systems of Equations and Inequalities
5. Symmetries and Transformations
6. The Slope Equation: Parallel and Perpendicular Lines
7. The Midpoint Formula
8. The Distance Equation
9. The Equation of a Parabola
10. The Equation of a Circle
11. Systems of 1st and 2nd Degree Equations
12. Finding the Area of a Polygon
Probability
Sections:
1. Outcomes, Sample Spaces & Tree Diagrams
2. Combinations & Arrangements
3. The Probability of an Event
4. Permutations with Repetitions
5. Combinations and the Combinations Formula
6. Probability of Combined Events
Statistics
Sections:
1. Data Sets: Mean, Median, Mode, & Percentiles
2. Displaying Data

Themes:

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

Attributes:

Diagram
Table
Graph
Word Problem
Proof
Construction