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 Algebra 1 Numbers Classify numbers Compare and order integers Compare and order rational numbers Absolute value and opposites Number lines Convert decimals to fractions Convert fractions to decimals Square Roots Cube Roots Operations Add Integers Subtract Integers Multiply Integers Divide Integers Order of operations with integers Evaluate variable expressions involving integers Add and subtract rational numbers Multiply rational numbers Divide rational numbers Order of operations with rational numbers Ratios and proportions Identify equivalent ratios Equivalent ratios: fill in the missing number Unit rates Unit prices Solve proportions Solve proportions: word problems Scale drawings and scale factors Percents Convert a percent to a decimal Convert a percent to a fraction Convert a decimal to a percent Convert a fraction to a percent Solve percent equations Percent word problems Percent of change Percent of change: word problems Percent of a number: tax, discount, and more Find the percent: tax, discount, and more Multi-step problems with percents Measurement Convert rates and measurements: customary units Convert rates and measurements: metric units Unit prices with unit conversions Precision Greatest possible error Maximum and minimum area Minimum and maximum volume Percent error Geometry Perimeter Algebra 2 Arithmetics Comparing whole numbers Addition Subtraction Multiplication Division Order of operations Divisibility Decimals Addition Subtraction Multiplication Division Fractions Identify fractions Equivalent fractions Reducing fractions Reducing to least common denominator Comparing fractions Reciprocals Exponents Multplication properties Division properties Power of a power Proportional reasoning Radical expressions Graphs Monomials Addition Subtraction Multiplication Division Polynomials Polynomial Vocabulary Addition Subtraction Multiplication (FOIL) Multiplication Special products Long division Synthetic division Remainder theorem Roots and factors Polynomial Function Factoring Factoring Factoring Trinomials a=1 Factoring trinomials a not equal to 1 Difference of Perfect Squares Perfect Trinomial Squares Factoring by grouping Factoring the Sum or Difference of Cubes Factoring Complicated Expressions Solving equations by Factoring Variable expressions Write variable expressions Write variable expresions to represent diagrams Identify terms and coefficients Evaluate single-variable expressions Evaluate multi-variable expressions Add like terms Subtract like terms Simplify variable expressions Linear Equations Solving equations Equations with parentheses Equations with fractions Radical equations Word problems Mixture problems Time and distance problems Equal shares Linear Functions Evaluate Linear Functions Does (x,y) satisfy the linear equation? Complete a function table Write a rule for a function table Find points on a function graph Linear function word problems Identify proportional relationship Find the constant of variation from graph Find the constant of variation from a table Find the constant of variation: word problems Graphs of linear equations Rectangular Coordinate System Midpoint Formula Definition of Slope Positive and negative slope Determine the slope of a line Find the slope from two points Find the slope from an equation Slope of parallel and perpendicular lines Find the slope of parallel lines Find the slope of perpendicular lines Equations of lines Slope-Intercept Form Point-Slope Form Standard Form Equation of lines (from graph) Applications of linear equations Inequalities Linear inequalities Multistep inequalities I Multistep inequalities II Quadratic equations Quadratic formula Solve factoring Solve completing the square Incomplete quadratic equation (b=0) Incomplete quadratic equation (c=0) The discriminant Applications Quadratic function Equations in quadratic form Graphs of quadratic equations Exploring Quadratic Graphs Graphing Quadratic Equations Using a table to graph a Quadratic Equation Vertical and Horizontal Shifts of Quadratic Graphs Vertical Stretching and Shrinking of Quadratic Graphs Vertex and Intercepts of a Quadratic Graph Applications Absolute Value Definition Absolute Value Equations Absolute Value Inequalities Absolute Value Graphs Radical expressions Exponential equations Logarithmic equations System of equations Introduction Substitution Elimination Graphing Using the augmented matrix Using the inverse matrix Word problems System of 3 variables Graphs and functions Plotting points and naming quadrants Interpreting Graphs Relations and Functions Function Notation Writing a Linear Equation from a Table Writing a Linear Equation to describe a Graph Direct Variation Indirect Variation Domain and range Definitions Polynomial function Rational function Radical function Trigonometric function I Trigonometric function II Trigonometric function III Sequences and series Introduction to sequences Series and Summation Notation Arithmetic sequences Arithmetic series Geometric sequences Geometric series Recursion Sequence Matrices Concept of matrix Definitions Addition and subtraction Multiplication Multiplication properties Solve linear systems (augmented matrix) Solve linear system (inverse matrix method) Matrix equations Inverse of a matrix Determinants Inner product Geometry Triangles Classify triangles Find the unknown angle Area of a triangle Isosceles Triangle Triangle Side Inequality Side and Angle Inequalities Remote Interior Angles SSS and SAS ASA and AAS HL CPCTC Isosceles Triangle Property Quadrilaterals Classifiy quadrilaterals Find the missing angle in quadrilaterals Points, lines, and segments Lines, line segments, and rays Lengths of segments on number lines Distance formula Angles Types of angles Measure angles with a protractor Complementary and supplementary angles Lines in the coordinate plane Find points on a coordinate plane Quadrants Coordinate Graphs Review Polygons Interior Angles Sum Equiangular Polygon Sums Exterior Angles Kite Properties Triangle Midsegment Trapezoid Midsegment Parallelogram Properties Rhombus Properties Rectangle Properties Square Properties 2-D Figures Polygon vocabulary Interior angles of polygons Area of a Triangle Area of a Square Area of a Rectangle Area of a Rhombus Area of a Trapezoid Area of a Parallelogram Area of Regular polygon Area of a Circle 3-D Figures Types of solids Prism Pyramid Cylinder Cone Sphere Areas Triangle I Triangle II Square Rectangle I Rectangle II Parallelogram I Parallelogram II Kite and Rhombus I Kyte and Rhombus II Trapezoid I Trapezoid II Regular polygon Circe Sector Annulus Segment Regions between circles and squares Surface Area Cube Rectangular Prism Pyramids Cylinder Cones Spheres Joined Solids Volume Volume of prisms Volume of pyramids Volume of cylinders Volume of cones Volume of spheres Pythagorean Theorem Pythagorean theorem Proofs Solve right angles (find hypotenuse) Solve right angles (find missing legs) Word problems Space Diagonals Converse of the Pythagorean Theorem Pythagorean Triples 45-45-90 Triangles Building Blocks Lines, line segments, and rays Congruent segments and midpoints Midpoint Parallel and skew lines Parallel lines and planes Angles Complementary and supplementary angles Using a protractor Angle bisector Polygons Regular polygons Concave and convex polygon Congruent polygon Vertex and diagonal Perimeter Parts of a circle Concentric circles Congruent circles Geometry Transformations Transformations and Isometries Identify translations, reflections and rotations Translations Reflections Rotations Symmetry - Reflectional symmetry - Rotational symmetry Dilations Parallel, coincident and intersepting lines Distances in the plane Between two points From a point to a line Between two lines Lines in space Plane in space Angles in the space Line-Line angle Line-Plane angle Plane-Plane Angle Exercises Distances in the space Point-Line Distance Point-Plane Distance Line-Line Distance Plane-Plane Distance Similarity Precalculus Sequences and series Introduction to sequences Series and Summation Notation Arithmethic sequences Arithmetic series Geometric sequences Geometric series Recursion Sequences Graphs Graphs Definition of slope Positive or negative slope Determine the slope of a line Equation of a line (slope-intercept form) Equation of a line (point slope form) Equation of a line from graph Domain and range Definitions Polynomial function Rational function Radical function Trigonometric function I Trigonometric function II Trigonometric function III Quadratic function Limits (approaches a constant) Limits (approaches infinity) Asymptotes Continuity and discontinuities Parallel, coincident and intersepting lines Introduction to Functions Seven Basic Functions Limits Limit of a function Limits approaches a constant Limits approaches infinity Evaluating limits One-Sided Limits Continuity Continuity Discontinuities Asymptotes Vertical Asymptote Horizontal Asymptote Slant Asymptote Trigonometry Trigonometric ratios Sine Cosine Tangent The reciprocal trigonometric ratios Cosecant Secant Cotangent Elemento sin tÃ­tulo Trigonometric ratios of related angles Complementary angles Supplementary angles Angles that differ by 180º Opposite angles Trigonometric identities Solving right angles Given: One side and one angle Given: Two sides Law of sines Law of cosines Domain of trigonometric functions Statistics Mean Median Mode Quartiles Deciles Percentiles Mean deviation Variance Standard Deviation Coefficient of variation Skewness kurtosis Frequency distribution Previous concepts Ungrouped data Grouped data Graphing statistics & Data Bar chart Histogram Pie chart Frequency Polygon Pictogram Cartogram Factorial Variations without repetition Variations with repetition Permutations without repetition Permutation with repetition Circular permutation Binomial coefficient Combinations without repetition Combinations with repetition

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Pre-algebra

Algebra

High School Math Prep
Practice general math problems with Aberdeen Academy's free program designed for teens and adults who require online continuing education. To find out more about Aberdeen's course and what it entails, go to High School Diploma.

Welcome to our new statistic section. Get ready to have a fun practicing the most important topics in statistics. Calculate the mean, mode and median of a set of data. Find the quartiles, deciles and percentiles of a set of data (include formulae for grouped data). Provides problems, explanations, and solutions. Central Tendency and Dispersion measures are introduced.

Revise your understanding of arithmetic and geometric sequences and series. Provides problems, explanations, and solutions.

Revise your understanding of exponents and powers. Here you will find activities to cover the basic exponent rules. Provides problems, explanations, and solutions.

Solve right angled triangles by using the Pythagorean Theorem. Solve real life word problems using the Pythagorean Theorem. Use Pythagorean Triples to save your time on any test. Find the relationships between the sides of a 45-45-90 triangle or a 30-30-60 triangle. There are many applications for the Pythagorean Theorem: it can be used to find the distance between two points, to find the length of a space diagonal,... Provides problems, explanations, and solutions.

Revise your understanding of proportional reasoning in maths. Here you will find exercises on ratios and proportions, direct proportions, inverse proportions, equal shares, time and distance and mixture word problems. You will learn to solve problems using real life situations. Provides problems, explanations, and solutions.

Find the distance between two points in the plane. Find the distance from a point to a line or the distance between two lines in the plane. Provides problems, explanations, and solutions.

Revise your understanding of quadratic equations. Solve complete and incomplete quadratic equations. Solve problems about real life using quadratic equations. Provides problems, explanations, and solutions.

Revise your understanding of variations, permutations and combinations. Solve exercises about variations, permutations and combinations with and without repetition. Provides problems, explanations, and solutions.

Revise your understanding of matrices. Solve exercises about addition, subtraction and multiplication of matrices. Provides problems, explanations, and solutions.

Revise your understanding of factorials. Enter any number you want and the computer will calculate its factorial for you. Provides problems, explanations, and solutions.