Glossary of Terms, Glosario de términos
Numerical Expressions:
Decimal Operations, Exponents, Multiply and divide fractions, Adding and subtracting Integers, Least common denominator (LCD), Mixed numbers, Negative and zero exponents, Order of operations, Ordering decimals, Square roots, Complex numbers, Reducing Roots, Roots and Real Numbers,
Dimensional Analysis:
Converting Units, Scientific notation, Upper and Lower Bounds, More examples,
Other Number System:
Complex Numbers, Euler's form of Complex Numbers, Trigonometric Form of Complex Numbers, Modular Numbers,
Variable Expressions:
Working with Integers, First Order Expressions, Absolute Value Expressions, Like terms and polynomials, Writing expressions,
Distribution and Factoring: Distribution, Examples of Distribution with Area and Perimeter, Factoring common factors, Examples of Factoring Common Factors, Distribution and Factoring, Factoring trinomials, Multiplying polynomials,
Properties of Exponents: Exponents powers and products, Exponents quotient rule,
Functions:
Features of Functions: What is a function?, Domain and Range, Functions and graphs, Intercepts from equations, Function notation and dependence, VLT and 1:1, Invertible Functions, Average Rate of Change, Functions and Function Notation,
Evaluating: Evaluating functions from equations, Evaluating functions from graphs, Function rules and composition, Composing from graphs,
Linear Functions:
Identifying Linear: Identifying Linear functions, Forms of Lines, Linear Applications,
Types of Lines: Direct Variation, Horizontal and vertical,
Inequalities: Graphing inequalities, Graph and solve linear inequalities,
Working with Lines: Writing Linear Equations, Slope, How to graph a line, y=mx+b, Parallel and Perpendicular,
Exponential and Logarithmic Functions:
Exponential Introduction, Growth and Decay, Logarithms, Graphing Exponential Functions, Graphing Logarithmic Functions,
Quadratic Functions:
Identifying Quadratics: Identifying quadratics, Examples Linear Quadratic or Exponential, Linear Quadratic or Exponential, Forms of Quadratics,
Changing between forms: Factoring Trinomials, Converting between forms of quadratics, Writing quadratics, Factor by Grouping, Completing the Square,
Key features of quadratics: Key features from graphs, Quadratics and transformations, Dilations on Quadratics, Graphing from Vertex Form,
Polynomial Functions:
Long Division Basics, Examples of Long Division, Graphing Polynomial Functions, Binomial Expansion,
Other Functions:
Piecewise-Defined Functions, Graphing Piece-wise Functions, Reciprocal Functions, Rational Functions, Graphing Absolute Value Functions,
Linear Equations:
Solving Equations, Solve Multi-Step Equations, Solving VBS Equations, Solve Proportions, Rewriting Formulas,
Systems of Equations:
Consistent and Inconsistent, Elimination, Systems of inequalities, Parallel and perpendicular lines, Substitution, Substitution word problems,
Solving Quadratic Equations:
Solving Quadratics, Quadratic Formula, Quadratic Word Problems, Roots and Real Numbers, Solving Quadratics with Square Roots,
Rational Equations and Expressions:
Simplify Rational Expressions, Solving Rational Equations, Extraneous Solutions, Rational Inequalities
Solving Exponential Equations:
Equal base Equations, Using logarithms, Base e and 10, Quadratic forms,
Triangle Trigonometry:
Right Triangles: Pythagorean theorem, Pythagorean Triples, The 3 basic trig functions, Solving for angles, Special right triangles, Solving for sides, Roots and Real Numbers, Reducing Roots,
Oblique Triangles: Law of Sines, Law of Cosines, Area,
Trigonometric Functions:
Solving Trigonometric Equations, More Trigonometric Equations,
Set notation:
Geometry Building Blocks:
Angles, Point plane space, Interior Angle Sum, Symmetry,
Congruence and Similarity:
Quadrilaterals:
Classifying quadrilaterals, Diagonals of rectangles, Diagonals of parallelograms, Parallelogram properties, Trapezoid properties, Special parallelograms,
Area and Perimeter:
Area, Cookie cutter problems, Distribution Area and Perimeter, Area of Trapezoids,
Coordinate Geometry:
Coordinate geometry, Distance and midpoint, Distances in a plane,
Polygons:
Exterior angle theorem, Interior angle theorem, Polygons,
Transformations:
Types of Transformations, Symmetry basics, Reflections, Transformations, Translations, Dilations,
Circles:
Sector Segment and Annulus, Angles in a Circle,
Geometry In 3 dimensions:
Volume of Prisms, Surface Area, Other Volume Problems,
Probability:
Understanding Probability, Unions and Intersections,
Correlation:
Lines of Best Fit, Standard Deviation,
Intervals and Hypothesis Testing: