MrPerezOnlineMathTutor.com Site Map
Homepage
Last updated: 2010, July 19
Total pages: 340
18 pages
MATH LESSONS: ALGEBRA, GEOMETRY, ALGEBRA 2, BASIC MATH
Algebra 1 lessons.
Algebra 2 lessons
Geometry Lessons.
GEOMETRY QUIZZES
Geometry Applets: Angles, Triangles, Similarity, Proportionality, and Special Segments in Circles.
Algebra Applets: Linear Equations, Rational Equations, Conics, Properties Real Numbers, Logarithms and More...
MATH LESSONS
Glossary of math terms: ALGEBRA AND GEOMETRY A to C
MATH LESSONS: ALGEBRA, GEOMETRY, ALGEBRA 2, BASIC MATH
FORMULAS-THEOREMS-2X2.pdf
Glossary of math terms: ALGEBRA AND GEOMETRY D to G
Glossary of math terms: ALGEBRA AND GEOMETRY H to M
Glossary of math terms: ALGEBRA AND GEOMETRY N to Q
Glossary of math terms: ALGEBRA AND GEOMETRY R to T
Glossary of math terms: ALGEBRA AND GEOMETRY U to Z
Algebra
38 pages
Linear Equations in one variable. Including absolute value equations.
Use Properties of Inequality to Solve Inequalities.
Learn how to solve two variable linear inequalities, including absolute value inequalities.
Learn About Real Numbers and Their Properties.
Expressions and formulas.
Learn how to work with Polynomials: Adding, Substracting, Multiplying, Dividing and Factoring.
Applying properties of exponents to operations with polynomials.
Slope: Formulas and parallel vs perpendicular.
Learning how to manipulate quadratic functions.
Learn the Distance and Midpoint Formulas.
Learn about the Parabola: Formula and Graphing.
Learn about the Ellipse: Formula and Graphing.
Study the Circle: Formula and Graphing.
Understanding the Hyperbola: Formula and Graphing.
Study solving Systems of Equations and Inequalities that Involve Conics.
Everything about Exponential and Logarithmic Functions.
Learn how to work Arithmetic and Geometric Series and Sequences.
Use matrices to solve systems of linear equations. Augmented matrix reduction.
Learn how to add and subtract polynomials.
Probability: Learn about probability in Binomial Experiments
Learn how to solve two variable linear inequalities, including absolute value inequalities.
Probability: learning about Combinations and Permutations.
An introduction to probability. Formal and informal.
Probability: Learning when to add and when to multiply probailities.
Learn how to solve Rational Equations.
Introduction to complex numbers.
Learn how to work Composition and Inverse in Polynomial Functions.
Finding zeros, solutions and roots in polynomials.
Learn about systems of linear equations. Forms of the linear equations.
Learn how to work Relations. Functions and Linear Equations.
Learn how to solve two variable linear inequalities, including absolute value inequalities.
Applying the Rational Zero Theorem: Zeros in a Polynomial Function.
Apply quadratic techniques to solve polynomial equations of higher grade.
How to use the discriminant and sum and product of roots
Learn how to solve radical equations and inequalities.
Probability: Learn how to work with experimental and geometric probability.
Probability: learning about the counting principle.
Understanding how to manipulate radicals and rational exponents to simplify expressions.
Math
16 pages
Adding and Subtracting Fractions.
Exponents, Square Root and Scientific Notation.
Adding Decimals.
Subtracting Decimals.
Multiplying by a Decimal.
Dividing by a Decimal.
Fractions to Decimals to Percent
Multiplying Fractions.
Fractional Part of a Number, and Improper Fractions.
Multiplying Mixed Numbers.
Dividing Fractions.
Percent of a Number.
Comparing Numbers as Percents.
Percent of Increase or Decrease.
Finding The Amount of a Discount or a Commission.
Calculating Simple Interest.
Interactive Applets Geometry
55 pages
Angle Classification
Parallel Lines Cut by a Transversal. Angle Pairs.
Special Segments and Lines in Triangles.
Arc and Its Chord Intersected by a Diameter
Chords Intersecting in a Circle
Interactive Applet: Vertical Angles
Central Angle vs. Inscribed Angle in the same circle. Interactive construction applet.
Inscribed Angles to the Same Arc in a Circle.
Secants That Intersect at an Exterior Point to the circle.
Interactive Applet: Tangent and a Secant Intersecting at an Exterior Point
Interactive Applet: Triangle Midpoint Theorem.
Complementary Angles
Interactive Applets: Side-Side-Side, Side-Angle-Side, Angle-Side-Angle, Angle-Angle-Side
Interactive Applets: Angle-Angle-Side
Interactive Applets: Angle-Side-Angle
Interactive Applets: CPCTC
Interactive Applets: Side-Angle-Side
Interactive Applets: Side-Side-Side
Exterior Angle Theorem in a Triangle.
Interactive Applet: Tangents Intersecting at an Exterior Point.
Interactive Construction Applet: Angle Sum Theorem for a triangle.
Parallel Transversal Cutting Pair of Lines Form Proportional Segments.
Interactive Applet: Basic Proportionality Theorem in a Triangle.
Pythagorean Theorem. Interactive Geometric Applet.
Interactive Applets: Similar triangles formed by altitude to the hypotenuse.
Interactive Applets: Similar Triangles In a Right Triangle with a Height from the Hypotenuse.
Interactive Applets: Similar Triangles Inside a Right Triangle with an Altitude from the Right Angle.
Interactive Geometric Applet for Supplementary Angles.
Interactive Applet: Sine, Cosine, and Tangent Ratios and Their Angles.
Interactive Applet: Circumcenter and Circumcircle
Interactive Applet: Incenter, Inradius, and Incircle.
Interactive Applet: Converse of Pythagorean Theorem to test a triangle.
Interactive Applet: Parallelogram and its segments and angles.
Interactive Applet: Square, its angles, and segments.
Interactive Applet: Rectangle and its properties. Segments, and Angles.
Interactive Applet: Rhombus, its angles, and segments.
Interactive Applet: Trapezoid, its angles, and segments.
Interactive Applet: Similarity in Triangles: Scale Factor, Enlargement, and Reduction.
Interactive Applet: Law Of Sines: Ambiguous Case.
Interactive Applet: Law of Sines: Ambiguous Case Using Law of Cosines.
Interactive Applet: Angle of Two Secants Intersecting at an Exterior Point of the Circle.
Interactive Applet: Angle of Two Tangents Intersecting at an Exterior Point of the Circle.
Interactive Applet: Angle of Intersecting Secant and Tangent at an Exterior Point in a Circle.
Interactive Applet: Regular Hexagon: Finding its Area.
Interactive Applet: Regular Octagon: Presenting Angle Relationships and Calculating Area.
Interactive Applet: Area for a Regular Pentagon.
Interactive Applet: Proof for Interior Angle Sum Theorem.
Interactive Applet: Comparing Interior Angle Sum with Exterior Angle Sum in Polygons with Different Number of Sides.
Interactive Applet: Comparing Interior Angle Sum with Exterior Angle Sum for Regular Polygon and Irregular Polygon.
Interactive Applet: Surface Area and Volume in Cylinders.
Interactive Applet: Surface Area and Volume for Cones.
Interactive Applet: Surface Area and Volume of a Prism.
Interactive Applet: Surface Area and Volume in Pyramids.
Interactive Applet: Comparing and Contrasting Volumes: Pyramids, and Prisms.
Interactive Applet: Comparing Volumes of Cones and Cylinders.
Interactive Applets Algebra
31 pages
Interactive Applet: Powers: Perfect Squares.
Interactive Applet: Square Root: Geometrical Representation, and Whole Numbers That Are Before and After.
Interactive Applet: Fractions: Graphic Representation as Parts of a Circle.
Interactive Applet: Equivalent Fractions: Lowest Terms to Highest Terms.
Interactive Applet: Multiplication of Improper Fractions by Improper Fraction. Geometric Representation.
Interactive Applet: Multiplying Decimals by a Decimal. Geometric Representation.
Interactive Applet: Fractions to Decimals: Hundredths, and Tenths.
Interactive Applet: Order of Operations in the Quadratic Formula.
Interactive Applet: Properties of Real Numbers
Interactive Applet: Properties of Exponents
Interactive Applet: Properties of Logarithms: Product, Quotient, and Power.
Interactive Applet: Properties of Logarithms: Change of Base Formula, and Same Base Equality.
Interactive Applet: Slope Definition
Interactive Applet: Slope-Intercept Form
Interactive Applet: Parallel Lines: Equation, and Graph.
Interactive Applet: Perpendicular Lines in the Coordinate Plane.
Interactive Applet: Quadratic Equation: Discriminant, and Real Roots.
Interactive Applet: Finding Parabola Features Using Quadratic Equation.
Interactive Applet: Parabola Features Completing the Square.
Interactive Applet: Parameters of the Vertex Form of the Vertical Parabola.
Interactive Applet: Definition of Ellipse.
Interactive Applet: Parameters of an Ellipse.
Interactive Applet: Hyperbola Definition.
Interactive Applet: Hyperbola Graph, Equations, and Parameters.
Interactive Applet: General Equation For Conics: Circle, Parabola, Hyperbola, and Ellipse.
Interactive Applet: Zeros in a Fifth Degree Polynomial.
Interactive Applet: Rational Functions: Vertical and Horizontal Asymptotes
Interactive Applet: Rational Functions: Graph with Oblique Asymptotes
Interactive Applet: Logarithmic, and Exponential Functions as Inverses.
Interactive Applet: Absolute Value: Number Lines.
Interactive Applet: Absolute Value Inequality in Two Variables.
Geometry
48 pages
Problems that involve complementary, supplementary and congruent angles.
Problems that involve proving triangles to be congruent.
Applying Law of Sines and Law of Cosines to find sides and angles of acute and obtuse triangles.
Working with central angles and their arcs.
Angle relationships in parallel lines cut by a transversal.
Proving triangles similar when they are the result of line segments in triangles.
Properties of quadrilaterals: Parallelograms, rectangles, squares, rhombi, and trapezoids.
Problems for trapezoids that find angles and segments in them.
How to find the area in triangles, rhombi and trapezoids.
Find area of special triangles with unknown height or base.
Solving trigonometry problems for right triangles to find sides and angles using sine, cosine and tangent.
Calculating area for regular polygons and circles in composite figures.
Calculating area in parallelograms and rectangles.
Introduction to points, lines, segments, rays, angles, and planes.
How to find surface area and volume for cylinders.
Prisms, finding surface area and volume.
Problems that involve congruent chords in a circle.
Circle problems with chords, tangents and secants.
Solution of problems with inscribed angles and their arcs in circles.
How to find arcs and angles in circles.
Solving proofs involving segments, angles, and arcs in circles
working proofs that apply theorems for secants, tangents and chords.
Complementary and supplementary angles using geolegs
Solving verbal problems with complementary and supplementary angles.
Finding angles and their measure in polygons.
Introduction to inductive and deductive reasoning. Includes Law of Detachment and Law of Syllogism.
Calculating volume and surface area for right cones.
Problems for composite Solids: Finding surface and volume by adding solids
Solving problems for composite Solids: How to find surface and volume by subtracting solids
Composite Solids: surface and volume by adding and subtracting solids
Applying SSS, SAS, ASA, AAS, HA, HL, LL and LA to prove triangles are congruent.
Practice proofs that involve theorems like AAS, SSS, ASA, SAS to prove triangles congruent.
Solving problems for rhombi and squares that require finding angles and segments.
Problems of similarity in triangles formed by an altitude from the right angle to the hypothenusa.
Surface area and volumen with base 10 blocks.
Solving special right triangles with angles 30-60-90 and 45-45-90
Introduction to trigonometry. What are adjacent and opposite sides?
Triangle inequality theorem and problems to find third side when we know two sides of the triangle.
How to prove that triangles are similar.
Introduction to slope in the coordinate plane, parallel lines, perpendicular lines, and skew lines.
Working with pyramids to find surface area and volume.
Sphere: Finding surface area and finding volume.
Converting two column proofs to paragraph proofs.
Properties of Quadrilaterals
Two column proofs that apply properties and theorems of triangles and quadrilaterals.
Proofs that involve segments, lines and angle relationships.
Proofs that involve similarity and proportionality in triangles.
Solving trigonometry problems for right triangles to find sides and angles using sine, cosine and tangent.
Geometry Quizzes
32 pages
Segment distance and midpoint quiz
Angle relationships: complementary and supplementary quiz
Parallel lines and transversals quiz
Parallelograms and rectangles: segments and angles quiz
Squares and rhombi: segments and angles quiz
Trapezoids: Segments and angles quiz
Congruency and exterior angle theorems quiz
Congruency theorems in triangles quiz
Similarity and proportionality in triangles quiz
Similar triangles and special segments quiz
Right triangle similarity with altitude quiz
Triangle inequality quiz
Special right triangles quiz
Trigonometry right triangles quiz
Circles, chords and arcs quiz
Congruent chords quiz
Inscribed angles and arcs quiz
Arcs and angles in circles quiz
Segment, tangents and secant lengths in a circle quiz
Angle Measure in Polygons quiz
Areas Special Triangles quiz
Areas Paralleg Rectang quiz
Areas Rhombi Trapezoid quiz
Areas Regular Polygons quiz
Surface area and volume of cylinders Quiz
Surface area and volume of prisms Quiz
Surface area and volume of cones Quiz
Surface area and volume of pyramids Quiz
Surface area and volume of spheres Quiz
Surface area and volume of composite solids: adding Quiz
Surface area and volume of composite solids: subtracting Quiz
Surface area and volume of composite solids: add and subract Quiz
Proofs Circles: Segments and Angles quiz
Proofs Segments and Angle Relationships quiz
Proofs Triangle Congruence Quiz
Proofs Triangles and Parallelograms Quiz
Proofs Triangle Similarity Quiz
ALGEBRAIC & GEOMETRIC PUZZLES PUZZLES
97 pages
Introduction_to_points_lines_segments_rays_angles_and_planes
Complementary_supplementary_word_problems
Angle_relationships_in_parallel_lines_cut_by_a_transversal
segments_and_angles_in_parallelograms
quadrilaterals_properties
Segments_and_angles_in_trapezoids
Proving_triangles_congruent
Applying_SSS_SAS_ASA_AAS_HA_HL_LL_and_LA_to_prove_triangles_are_congruent
similar_triangles1
Right_triangle_similarity
Triangle_inequality
using_30_60_90_and_45_45_90_triangles
Trigonometry_problems
Central_angles_and_arcs
Inscribed_angles_and_arcs
Segment_tangents_and_secants
angle_measure_regular_polygons
Areas_parallelograms_and_rectangles
areas_regular_polygons
Surface_area_and_volume_of_cylinders
sa_volume_prisms
Composite_Solids_adding
Composite_Solids_subtracting
Composite_Solids_adding_subtracting
Introduction_to_points_lines_segments_rays_angles_and_planes.pdf
Complementary_supplementary_word_problems.pdf
Angle_relationships_in_parallel_lines_cut_by_a_transversal.pdf
segments_and_angles_in_parallelograms.pdf
quadrilaterals_properties.pdf
Segments_and_angles_in_trapezoids.pdf
Proving_triangles_congruent.pdf
Applying_SSS_SAS_ASA_AAS_HA_HL_LL_and_LA_to_prove_triangles_are_congruent.pdf
similar_triangles1.pdf
Right_triangle_similarity.pdf
Triangle_inequality.pdf
using_30_60_90_and_45_45_90_triangles.pdf
Trigonometry_problems.pdf
Central_angles_and_arcs.pdf
Inscribed_angles_and_arcs.pdf
Segment_tangents_and_secants.pdf
angle_measure_regular_polygons.pdf
Areas_parallelograms_and_rectangles.pdf
areas_regular_polygons.pdf
Surface_area_and_volume_of_cylinders.pdf
sa_volume_prisms.pdf
Composite_Solids_adding.pdf
Composite_Solids_subtracting.pdf
Composite_Solids_adding_subtracting.pdf
Logarithmic_and_exponential_functions
Permutations_and_combinations
Probability_add_and_multiply
Problems_that_involve_complementary_supplementary_and_congruent_angles
Introduction_slope
inductive_vs_deductive
Proofs_triangle_congruence
Proofs_Quad_and_Triangles
Equations_incluiding_absolute_value
inequalities_including_absolute_value
Systems_of_linear_inequalities_incl_absolute_value
Real_numbers
Polynomials_add_substr_mult_div
Properties_of_exponents
slope
quadratic_functions
parabola
Hyperbola_formula_and_graphing
Linear_programming
systems_of_linear_equations_2_var
Relations_and_functions
radical_equations_and_inequalities
Understanding_how_to_manipulate_radicals_and_rational_exponents_to_simplify_expressions
Equations_incluiding_absolute_value.pdf
inequalities_including_absolute_value.pdf
Systems_of_linear_inequalities_incl_absolute_value.pdf
Problems_that_involve_complementary_supplementary_and_congruent_angles.pdf
Real_numbers.pdf
Learn_how_to_work_expressions_and_formulas.pdf
Polynomials_add_substr_mult_div.pdf
Properties_of_exponents.pdf
slope.pdf
quadratic_functions.pdf
parabola.pdf
Hyperbola_formula_and_graphing.pdf
Logarithmic_and_exponential_functions.pdf
Linear_programming.pdf
Permutations_and_combinations.pdf
Probability_add_and_multiply.pdf
Learn_how_to_solve_Rational_Equations.pdf
inductive_vs_deductive.pdf
Proofs_triangle_congruence.pdf
systems_of_linear_equations_2_var.pdf
Relations_and_functions.pdf
radical_equations_and_inequalities.pdf
Introduction_slope.pdf
Understanding_how_to_manipulate_radicals_and_rational_exponents_to_simplify_expressions.pdf
Proofs_Quad_and_Triangles.pdf
Proofs_that_involve_segments_lines_and_angle_relationships.pdf