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ALGEBRA
GEOMETRY
ALGEBRA II/ TRIGONOMETRY
PRECALCULUS
CALCULUS
SAT MATH
Click any concept below to view a complete lesson. These lessons support the questions (each having their own video solution) in our vast database. After viewing a lesson, we recommend that you create a personalized question-set in order to practice and evaluate your learning.
Geometry
Topic A: Introduction to geometry: Angles, Lines and Triangles
Concept 1: Properties of real numbers
Concept 2: Definitions in geometry
Concept 3: Special pairs of angles
Concept 4: Triangles;segments associated with triangles
Topic B: Mathematical Reasoning and Logic
Concept 1: Connectives in logic; and, or, not, if...then, if and only if
Concept 2: Inverse, Converse, Contrapositive
Topic C: Working with Postulates and Definitions
Concept 1: Reflexive, symmetric,transitive,substitution
Concept 2: Addition, Subtraction, Mult. & Division
Concept 3: Using postulates and definitions in proofs
Concept 4: Using angle theorems in proofs
Topic D: Triangles and Triangle Congruence
Concept 1: Congruent triangles; SSS, SAS, ASA
Concept 2: Corresponding parts of congruent triangles
Concept 3: The isosceles and equilateral triangles
Concept 4: Overlapping triangles
Topic E: Angles, Angle Sums, Parallel Lines; Angles of Polygons
Concept 3: Proofs with parallel lines; proving lines parallel and perpendicular
Concept 2: Solving problems involving parallel lines
Concept 4: Interior & exterior angles of a triangle
Concept 5: The sum of the measures of the angles of a triangle
Concept 6: Interior & exterior angles of a polygon
Topic F: Inequalities in a Triangle; Indirect proofs
Concept 1: Indirect proofs
Concept 2: Inequalities in the Triangle; Inequality Proofs
Topic G: Quadrilaterals
Concept 1: The parallelogram (algebraic problems)
Concept 2: The rectangle, square, rhombus and trapezoid (algebraic problems)
Concept 3: Proofs involving quadrilaterals
Topic H: Similarity
Concept 1: Ratio and proportion
Concept 2: Proportions in similar triangles and polygons
Concept 3: Altitude to hypotenuse
Concept 4: Similar(proportion and product) triangle proofs
Topic I: The Right Triangle
Concept 1: The Pythagorean Theorem
Concept 2: Special Right Triangles: 30-60-90 and 45-45-90
Topic J: Coordinate Geometry; Slope and Equations of Lines; Systems of Equations
Concept 1: Slope of a line
Concept 2: Equation of a line
Concept 3: Graphing linear equations; point on a line
Concept 4: Distance between two points
Concept 5: The midpoint of a line segment
Concept 6: Parallel and perpendicular lines
Concept 7: Proofs in coordinate geometry
Concept 8: Areas in coordinate geometry
Concept 9: Concurrency of the Altitudes of a Triangle
Concept 10: Systems of Equations
Topic K: Transformation Geometry
Concept 1: Line reflections and line symmetry
Concept 2: Dilations
Concept 3: Rotations
Concept 4: Point reflections and point symmetry
Concept 5: Translations
Concept 6: Isometries and Orientation
Concept 7: Compositions of Transformations
Topic L: Plane and Solid Geometry; Volume; Surface & Lateral Area; Medians in a Triangle
Concept 1: Three Dimensional Geometry:Points, Lines, Planes
Concept 2: Concurrency of the Medians in a Triangle
Concept 3: Surface and Lateral Area
Concept 4: Volumes of Solids
Topic M: Circles
Concept 1: Equation of a circle
Concept 2: Area and circumference
Concept 3: Measures of arcs and angles:central angles
Concept 4: Measure of inscribed angles
Concept 5: Measures of angles formed by tangents, chords and secants
Concept 6: Measures of chords,tangents and secants
Topic N: Locus
Concept 1: Locus theorems
Concept 2: Intersection of loci; loci in coordinate geometry
Topic O: Constructions
Concept 1: Basic Constructions