Topics and Objectives: Basic Course

• Lesson A – Geometry review, Angles, Review of absolute value, properties and definitions

• Lesson B – Perimeter, Area, Volume, Surface area, Sectors of circles

• Lesson 1 – Polygons, Triangles, Transversals, Proportional segments

• Lesson 2 – Negative exponents, Product and power theorems for exponents, Circle relationships

• Lesson 3 – Evaluation of expressions, Adding like terms

• Lesson 4 – Distributive property, Solution of equations, Change sides – change signs

• Lesson 5 – Word problems, Fractional parts of a number

• Lesson 6 – Equations with decimal numbers, Consecutive integer word problems

• Lesson 7 – Percent, Equations from geometry

• Lesson 8 – Polynomials, Graphing linear equations, Intercept-slope method

• Lesson 9 – Percent word problems

• Lesson 10 – Pythagorean theorem

• Lesson 11 – Addition of fractions, Inscribed angles

• Lesson 12 – Equation of a line

• Lesson 13 – Substitution, Area of an isosceles triangle

• Lesson 14 – Equation of a line through two points, Equation of a line with a given slope

• Lesson 15 – Elimination

• Lesson 16 – Multiplication of polynomials, Division of polynomials

• Lesson 17 – Subscripted variables, Angle relationships

• Lesson 18 – Ratio word problems, Similar triangles

• Lesson 19 – Value word problems, AA means AAA

• Lesson 20 – Simplification of radicals, Line parallel to a given line

• Lesson 21 – Scientific notation, Two statements of equality

• Lesson 22 – Uniform motion problems – equal distances, Similar triangles and proportions

• Lesson 23 – Graphical solutions

• Lesson 24 – Fractional equations, Overlapping triangles

• Lesson 25 – Monomial factoring, Cancellation, Parallel lines

• Lesson 26 – Trinomial factoring, Overlapping right triangles

• Lesson 27 – Rational expressions

• Lesson 28 – Complex fractions, Rationalizing the denominator

• Lesson 29 – Uniform motion problems: D1 + D2=k

• Lesson 30 – Deductive reasoning, Euclid, Vertical angles are equal, Corresponding interior and exterior angles, 180˚ in a triangle

• Lesson 31 – Negative reciprocals, Perpendicular lines, Remote interior angles

• Lesson 32 – Quotient theorem for square roots, Congruency, Congruent triangles

• Lesson 33 – Major rules of algebra, Complex fractions

• Lesson 34 – Uniform motion problems: D1 + k=D2

• Lesson 35 – Angles in polygons, Inscribed quadrilaterals, Fractional exponents

• Lesson 36 – Contrived problems, Multiplication of rational expressions, Division of rational expressions

• Lesson 37 – Chemical compounds, parallelograms

• Lesson 38 – Powers of sums, Solving by factoring, Only zero equals zero

• Lesson 39 – Difference of two squares, Parallelogram proof, Rhombus

• Lesson 40 – Abstract fractional equations

• Lesson 41 – Units, Unit multipliers

• Lesson 42 – Estimating with scientific notation

• Lesson 43 – Sine, cosine, and tangent, Inverse functions

• Lesson 44 – Solving right triangles

• Lesson 45 – Difference-of-two squares theorem

• Lesson 46 – More on radical expressions, Radicals to fractional exponents

• Lesson 47 – Rate unit conversions, More on fractional exponents

• Lesson 48 – Radical equations

• Lesson 49 – Linear Intercepts, Transversals

• Lesson 50 – Quadratic equations, Completing the square

• Lesson 51 – Imaginary numbers, Product-of-square-roots theorem, Euler’s notation, Complex numbers

• Lesson 52 – Chemical mixture problems

• Lesson 53 – Metric unit conversions, English units to metric units, Weight combination by percent

• Lesson 54 – Polar coordinates, Similar triangles

• Lesson 55 – Advanced abstract equations, Word problems and quadratic equations

• Lesson 56 – Angles in circles, Proofs

• Lesson 57 – Ideal gas laws

• Lesson 58 – Lead coefficients, More on completing the square

• Lesson 59 – Experimental data, Simultaneous equations with fractions and decimals, Rectangular form to polar form

• Lesson 60 – Direct and inverse variation

• Lesson 61 – Chemical mixture problems, type B

• Lesson 62 – Complex roots of quadratic equations

• Lesson 63 – Addition of vectors

• Lesson 64 – Complex fractions, Complex numbers

• Lesson 65 – Advanced substitution

• Lesson 66 – Signs of fractions, 30-60-90 triangles

• Lesson 67 – Radical denominators

• Lesson 68 – Scientific calculators, Scientific notation, Powers and roots

• Lesson 69 – Gas law problems

• Lesson 70 – Advanced abstract equations

• Lesson 71 – Quadratic formula

• Lesson 72 – Lines from experimental data, Negative angles

• Lesson 73 – More on radical denominators

• Lesson 74 – Uniform motion with both distances given

• Lesson 75 – Factorable denominators and sign changes

• Lesson 76 – Using both substitution and elimination, Negative vectors

• Lesson 77 – Advanced radical equations, Multiple radicals

• Lesson 78 – Force vectors at a point

• Lesson 79 – Metric volume, 45-45-90 triangles

• Lesson 80 – Direct and inverse variation as ratios

• Lesson 81 – Complex numbers

• Lesson 82 – Algebraic simplifications

• Lesson 83 – Variable exponents

• Lesson 84 – Solutions of equations

• Lesson 85 – Systems of nonlinear equations

• Lesson 86 – Greater than, Trichotomy and transitive axioms, Irrational roots

• Lesson 87 – Slope formula

• Lesson 88 – The distance formula, The relationship PV = nRT

• Lesson 89 – Conjunctions, Disjunctions, Products of chords and secants

• Lesson 90 – Systems of three equations

• Lesson 91 – Linear inequalities, Greater than or equal to; less than or equal to, Systems of linear inequalities

• Lesson 92 – Boat-in-the-river problems

• Lesson 93 – The discriminant

• Lesson 94 – Dependent and independent variables, Functions, Functional notation

• Lesson 95 – More nonlinear systems

• Lesson 96 – Joint and combined variation, More on irrational roots

• Lesson 97 – Advanced substitution

• Lesson 98 – Relationships of numbers

• Lesson 99 – Absolute value inequalities, Negative numbers and absolute values

• Lesson 100 – Graphs of parabolas

• Lesson 101 – Percent markups

• Lesson 102 – Sums of functions, Products of functions

• Lesson 103 – Advanced polynomial division

• Lesson 104 – Complex numbers, rational numbers, and decimal numerals

• Lesson 105 – Advanced factoring

• Lesson 106 – More on systems of three equations

• Lesson 107 – Numbers, numerals, and value, Number word problems

• Lesson 108 – Sum and difference of two cubes

• Lesson 109 – More on fractional exponents

• Lesson 110 – Quadratic inequalities (greater than)

• Lesson 111 – Three statements of equality

• Lesson 112 – Quadratic inequalities (less than)

• Lesson 113 – Logarithms, Antilogarithms

• Lesson 114 – Nonlinear inequalities

• Lesson 115 – Exponential equations, Exponential functions, Compound interest

• Lesson 116 – Fundamental counting principle and permutations, Probability, Independent events

• Lesson 117 – Letter symbols for sets, Set-builder notation

• Lesson 118 – Logarithmic equations

• Lesson 119 – Absolute value inequalities

• Lesson 120 – Age word problems

• Lesson 121 – Rational inequalities

• Lesson 122 – Laws of logarithms, Intersection of sets, Union of sets, Venn diagrams

• Lesson 123 – Locus, Basic construction

• Lesson 124 – Conditions of congruence, Proofs of congruence, Isosceles triangles

• Lesson 125 – Distance defined, Equidistance, Circle proofs

• Lesson 126 – Rectangles, Squares, Isosceles trapezoids, Chords and arcs

• Lesson 127 – Lines and planes in space

• Lesson 128 – Circumscribed and inscribed, Inscribed triangles, Inscribed circles, Proof of the Pythagorean theorem, Inscribed angles

• Lesson 129 – Stem and leaf plots, Measures of central tendency, The normal curve, Standard deviation