We all know the pandemic pretty much
destroyed any learning the past 2 years. Students have fallen behind and they
have a lot to catch up on. Remote learning simply doesn’t work well for high
school classes. HOWEVER, Private Tutoring is a totally different story.
Students gain what they can’t from school online classes. I’ve been doing
online lessons since 2010, well before the pandemic came around, and I have
this down to a science!
- I analyze and determine what a student
knows and doesn't know ( you would be surprised how many kids think they are
"good" but actually don't know anything about the math building up
to where they are at ) and find any gaps or deficiencies in knowledge that
need to be learned. - I provide far better teaching and
explanations than other teachers / tutors so that a student truly understands
what is going on. Students won't get any confusing explanations or answers
that don't make sense. - Learn the - Every lesson and explanation is
adjusted in REAL-TIME just for that student: the speed & pacing, the
complexity of explanation, and how far back we need to go to get to the root
of what knowledge gap there is. - Students do not learn just by
listening / looking at answers. They learn by thinking and doing. Unlike
other tutors who are just talking textbooks or talking webpages that tell you
the answer to a question, what I provide is real teaching and learning - I know when a student isn't getting
it but thinks they do. Many students
get the right answer by guessing or chance. - I analyze and diagnose what is going
wrong with the student’s thinking and problem solving process so it can be fixed. - I will review the material you have
done in class and make sure you understand the material that was covered in
class, and teach you what your teacher did not - I teach you new material if you want
to get ahead - Assess and check your understanding
by giving you problems to work on. I also reinforce your understanding by
giving you practice problems and drills. If needed, I can give you some reinforcement homework if needed - What you
learn goes beyond just math: real critical thinking, problem solving,
analytical skills, organizational and proper study skills necessary to
succeed in college and in life. These are lessons that you do not learn in
school or from textbooks. - I will challenge
students to think so that they understand not only WHAT to do but also WHY
they are doing it.
Arithmetic Pre-Algebra Algebra Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4
Addition 5
Subtraction 6 Estimating
Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9 Long
Division 10
Estimating Products and Quotients 11
Multiplication and Division Word Problems 12
Addition Properties 13
Multiplication Properties 14 Patterns
with Whole Numbers Understanding
fractions 15
Divisibility Rules 16
Factors and Primes 17
Multiples and Least Common Multiple 18
Greatest Common Factor 19
Introduction to Fractions 20
Equivalent Fractions (Part I) 21
Reducing Fractions to Lowest Terms 22
Equivalent Fractions (Part II) 23
Improper Fractions and Mixed Numbers 24
Comparing Proper Fractions 25
Comparing Mixed Numbers and Improper Fractions 26
Comparing Fractions Word Problems Operations
with fractions 27 Adding
and Subtracting Like Fractions 28 Adding
and Subtracting Unlike Fractions 29 Adding
Mixed Numbers 30
Subtracting Mixed Numbers 31
Multiplying Fractions 32
Multiplying Mixed Numbers 33
Dividing Fractions Adding
and subtracting decimals 34
Understanding Decimals 35
Comparing Decimals 36
Rounding Decimals 37
Estimating Sums and Differences of Decimals 38 Adding
Decimals 39
Subtracting Decimals 40 Adding
and Subtracting Decimals Word Problems Multiplying
and dividing decimals 41
Multiplying Decimals by Whole Numbers 42 Multiplying
Decimals by Decimals 43
Dividing Decimals by Whole Numbers 44
Dividing Decimals by Decimals 45
Multiplying and Dividing Decimals Word Problems Geometry 46
Points, Lines, Segments, and Rays 47
Classifying Lines 48 Angles 49
Measuring Angles 50 Polygons 51
Quadrilaterals 52
Circles 53
Classifying 3-Dimensional Figures Measurement 54
Customary Unit Conversions 55 Metric
Unit Conversions 56
Perimeter 57 Area
of Squares and Rectangles Displaying
data 58
Pictographs and Line Plots 59 Stem-and-Leaf
Plots and Frequency Charts 6th grade Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4
Addition 5
Subtraction 6
Estimating Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9
Exponents 10 Long
Division 11
Estimating Products and Quotients 12
Multiplication and Division Word Problems 13 Order
of Operations 14
Grouping Symbols 15
Variables 16
Addition Properties 17
Multiplication Properties Integers 18
Graphing and Writing Integers 19
Comparing Integers 20
Opposites and Absolute Value 21 Adding
Integers 22
Subtracting Integers 23
Multiplying Integers 24
Dividing Integers 25
Integer Word Problems Factors,
multiples, and fractions 26
Divisibility Rules 27
Factors and Primes 28 Prime
Factorization 29
Multiples and Least Common Multiple 30
Greatest Common Factor 31
Introduction to Fractions 32
Equivalent Fractions (Part I) 33
Reducing Fractions to Lowest Terms 34
Equivalent Fractions (Part II) 35
Improper Fractions and Mixed Numbers 36
Comparing Proper Fractions 37
Comparing Mixed Numbers and Improper Fractions 38
Comparing Fractions Word Problems Operations
with fractions 39 Adding
and Subtracting Like Fractions 40 Adding
and Subtracting Unlike Fractions 41 Adding
Mixed Numbers 42
Subtracting Mixed Numbers 43
Multiplying Fractions 44
Multiplying Mixed Numbers 45
Dividing Fractions 46
Dividing Mixed Numbers Decimal
concepts 47
Understanding Decimals 48
Converting Decimals to Fractions 49
Converting Fractions to Decimals 50
Comparing Decimals 51 Rounding
Decimals 52
Decimal Word Problems Operations
with decimals 53
Estimating Sums and Differences of Decimals 54 Adding
Decimals 55
Subtracting Decimals 56 Adding
and Subtracting Decimals Word Problems 57
Multiplying Decimals by Whole Numbers 58 Multiplying
Decimals by Decimals 59
Dividing Decimals by Whole Numbers 60
Dividing Decimals by Decimals 61
Multiplying and Dividing Decimals Word Problems 62 Powers
of 10 63
Terminating and Repeating Decimals 64
Determining if a Number is Rational or Irrational Algebraic
thinking 65
Evaluating Expressions 66
Combining Like Terms 67
Distributive Property 68
Modeling Expressions 69
Introduction to Equations 70
One-Step Addition Equations 71
One-Step Subtraction Equations 72
One-Step Multiplication Equations 73 One-Step
Division Equations 74
Writing and Solving One-Step Equations 75
Introduction to Inequalities 76
One-Step Inequalities 77 The
Coordinate Grid 78
Finding the nth Term in a Pattern Ratios
and percents 79
Introduction to Ratios 80 Equal
Ratios 81 Unit
Rate 82 Unit
Price 83
Understanding Percents 84
Fractions and Percents 85
Decimals and Percents 86
Percent of a Number 87
Percent One Number is of Another 88 Using
Percent to Find a Number Geometry 89
Points, Lines, Segments, and Rays 90
Classifying Lines 91 Angles 92
Measuring Angles 93 Angles
of a Triangle 94 Sides
of a Triangle 95
Polygons 96
Quadrilaterals 97
Circles 98
Classifying 3-Dimensional Figures 99 Nets 100
Symmetry 101
Transformations 102
Reflections Measurement 103 Customary
Unit Conversions 104
Metric Unit Conversions 105
Perimeter 106 Area
of Squares and Rectangles 107 Area
of Triangles 108 Area
of Parallelograms and Trapezoids 109
Surface Area Displaying
and describing data 110
Pictographs and Line Plots 111 Bar Graphs 112 Line
Graphs 113
Stem-and-Leaf Plots and Frequency Charts 114
Histograms 115
Scatterplots and Trends 116
Dependency and Correlational Relationships 117
Misleading Graphs 118
Range, Median, and Mode 119
Box-and-Whisker Plots 120 Mean 121 Central
Tendency Word Problems Whole
numbers 1 Place
Value 2
Comparing Numbers 3
Rounding Numbers 4
Addition 5
Subtraction 6
Estimating Sums and Differences 7
Addition and Subtraction Word Problems 8
Multiplication 9
Exponents 10 Long
Division 11 Estimating
Products and Quotients 12
Multiplication and Division Word Problems 13 Order
of Operations 14
Grouping Symbols 15
Variables 16
Addition Properties 17
Multiplication Properties Integers 18
Graphing and Writing Integers 19
Comparing Integers 20 Opposites
and Absolute Value 21 Adding
Integers 22
Subtracting Integers 23
Multiplying Integers 24
Dividing Integers 25 Order
of Operations with Integers 26
Integer Word Problems 27
Absolute Value with Addition and Subtraction 28
Absolute Value with Multiplication and Division Fractions 29
Divisibility Rules 30
Factors and Primes 31 Prime
Factorization 32
Multiples and Least Common Multiple 33
Greatest Common Factor 34
Introduction to Fractions 35
Equivalent Fractions (Part I) 36
Reducing Fractions to Lowest Terms 37
Equivalent Fractions (Part II) 38
Improper Fractions and Mixed Numbers 39
Comparing Proper Fractions 40
Comparing Mixed Numbers and Improper Fractions 41
Comparing Fractions Word Problems 42 Adding
and Subtracting Like Fractions 43 Adding
and Subtracting Unlike Fractions 44 Adding
Mixed Numbers 45
Subtracting Mixed Numbers 46
Multiplying Fractions 47
Multiplying Mixed Numbers 48
Dividing Fractions 49
Dividing Mixed Numbers Decimals 50
Understanding Decimals 51
Converting Decimals to Fractions 52
Converting Fractions to Decimals 53
Comparing Decimals 54
Rounding Decimals 55
Decimal Word Problems 56
Estimating Sums and Differences of Decimals 57 Adding
Decimals 58
Subtracting Decimals 59 Adding
and Subtracting Decimals Word Problems 60
Multiplying Decimals by Whole Numbers 61
Multiplying Decimals by Decimals 62
Dividing Decimals by Whole Numbers 63
Dividing Decimals by Decimals 64
Multiplying and Dividing Decimals Word Problems 65 Powers
of 10 66
Converting from Scientific to Standard Notation 67 Converting
from Standard to Scientific Notation 68
Terminating and Repeating Decimals 69
Determining if a Number is Rational or Irrational Algebraic
thinking 70
Patterns with Whole Numbers 71
Patterns with Fractions, Decimals, and Integers 72 Advanced
Patterns 73
Pattern Word Problems 74
Evaluating Expressions 75
Combining Like Terms 76
Distributive Property 77
Modeling Expressions 78
Introduction to Equations 79
One-Step Addition Equations 80
One-Step Subtraction Equations 81
One-Step Multiplication Equations 82
One-Step Division Equations 83
Writing and Solving One-Step Equations 84
Two-Step Equations 85
Equations with Variable on Both Sides 86
Equations with the Distributive Property 87
Writing and Solving Multi-Step Equations 88
Introduction to Inequalities 89
One-Step Inequalities Ratio,
proportion, & percent 90
Introduction to Ratios 91 Equal
Ratios 92 Unit
Rate 93 Unit
Price 94
Introduction to Proportion 95
Solving Proportions 96
Proportion Word Problems 97
Understanding Percents 98 Fractions
and Percents 99
Decimals and Percents 100
Percent of a Number 101
Percent One Number is of Another 102 Using
Percent to Find a Number 103
Percent Increase or Decrease 104
Discount 105 Sales
Tax 106
Interest Geometry 107
Points, Lines, Segments, and Rays 108
Classifying Lines 109
Angles 110
Measuring Angles 111
Complementary and Supplementary Angles 112
Angles of a Triangle 113 Sides
of a Triangle 114
Polygons 115
Quadrilaterals 116
Circles 117
Classifying 3-Dimensional Figures 118 Nets 119 Perspective
Drawings 120
Congruent Figures 121
Similar Figures 122
Problem Solving with Similar Figures 123
Symmetry 124 The
Coordinate Grid 125
Relations and Functions 126
Evaluating and Graphing Functions 127
Transformations 128
Reflections 129
Translations 130
Rotations 131
Dilations Measurement 132
Customary Unit Conversions 133
Metric Unit Conversions 134 Units
of Measurement 135
Perimeter 136
Circumference 137
Perimeter and Circumference Word Problems 138 Area
of Squares and Rectangles 139 Area
of Triangles 140 Area
of Parallelograms and Trapezoids 141 Area
of a Circle 142
Changing Dimensions 143 Area
Word Problems 144
Surface Area 145
Volume of Prisms and Pyramids 146
Volume of Cylinders, Spheres, and Cones 147
Surface Area and Volume Word Problems 148 Square
Roots 149 Using
Square Roots to Solve Equations 150
Pythagorean Theorem 151
Pythagorean Triples Probability
& statistics 152
Pictographs and Line Plots 153 Bar
Graphs 154 Line
Graphs 155
Circle Graphs 156
Stem-and-Leaf Plots and Frequency Charts 157
Histograms 158
Scatterplots and Trends 159
Misleading Graphs 160
Range, Median, and Mode 161
Box-and-Whisker Plots 162 Mean 163
Central Tendency Word Problems 164
Simple Probability 165
Experimental Probability 166
Probability of Independent Events 167 Probability
of Dependent Events 168
Simulations 169 Tree
Diagrams and the Counting Principle 170
Permutations 171
Combinations Simplifying 1 Adding
and Subtracting Integers 2
Multiplying and Dividing Integers 3 Order
of Operations 4
Evaluation 5 Least Common
Multiple 6 Adding
and Subtracting Fractions 7
Multiplying and Dividing Fractions 8 Order
of Operations with Fractions 9
Evaluation with Fractions 10
Absolute Value 11
Absolute Value with Fractions 12
Combining Like Terms 13
Distributive Property 14 Distributive
Property and Combining Like Terms Equations 15
One-Step Equations 16
Two-Step Equations 17
Equations with Fractions 18
Equations Involving Distributive 19
Equations with Variable on Both Sides 20
Equations with Variable on Both Sides and Fractions 21
Equations with Variable on Both Sides and Distributive 22
Equations with Decimals 23
Equations with Decimals and Decimal Solutions 24
Equations with Fraction Solutions 25
Literal Equations Word
problems 26 Number
Word Problems 27 Consecutive
Integer Word Problems 28
Geometry Word Problems 29
Percent Word Problems 30 Age
Word Problems 31 Value
Word Problems 32
Interest Word Problems 33 Motion
Word Problems Inequalities,
absolute value, functions, graphing 34
Solving and Graphing Inequalities 35
Combined Inequalities 36 The
Coordinate System 37 Domain
and Range 38
Definition of a Function 39
Function and Arrow Notation 40
Graphing within a Given Domain 41
Graphing Lines 42 The
Intercept Method 43
Graphing Inequalities in Two Variables Linear
equations 44
Patterns and 45 Word
Problems and 46 Slope
as a Rate of Change 47 Slope
of a Line 48 Using
Slope to Graph a Line 49 Using
Coordinates to Find Slope (Graphs and Tables) 50 Slope
Formula 51 Using Slope
Formula to Find Missing Coordinates 52
Slope-Intercept Form 53
Converting to Slope-Intercept Form and Graphing 54 Linear
Parent Graph and Transformations 55
Writing Equations of Lines 56
Writing Equations of Lines Using Tables 57 Direct
Variation 58 Applications
of Direct Variation and Linear Functions Systems
of equations 59
Solving Systems by Graphing 60
Solving Systems by Addition 61
Solving Systems by Substitution 62 Number
and Value Word Problems 63 Wind
and Current Word Problems 64 Digit
Word Problems Exponents
& polynomials 65 The
Product Rule 66 The
Power Rule 67 The
Quotient Rule 68
Numerical Bases and Exponents of Zero 69
Combining Exponent Rules 70
Multiplying Polynomials 71
F.O.I.L. Factoring 72
Greatest Common Factor 73 Factoring
out the Greatest Common Factor 74
Factoring Trinomials with Positive Constants 75
Factoring Trinomials with Negative Constants 76
Difference of Two Squares 77
Factoring Trinomials with Lead Coefficients and Positive Constants 78
Factoring Trinomials with Lead Coefficients and Negative Constants 79
Factoring Completely 80
Beginning Polynomial Equations 81
Intermediate Polynomial Equations Rational
expressions & equations 82
Simplifying Rational Expressions 83
Multiplying and Dividing Rational Expressions 84 Adding
Rational Expressions 85
Subtracting Rational Expressions 86
Rational Equations Radicals 87
Simplifying Radicals 88
Multiplying Radicals 89
Dividing Radicals 90 Adding
Radicals and FOILing with Radicals 91
Radical Equations Quadratics 92 Linear
or Quadratic Functions 93 Graphs
of Quadratic Functions and Beginning Transformations 94 Graphs
of Quadratic Functions and Advanced Transformations 95
Solving Quadratic Equations by Graphing 96 Taking
the Square Root of Both Sides 97
Completing The Square 98
Quadratic Formula 99
Variables, Expressions, and Equations 100
Translating English to Algebra 101 Using
Manipulatives to Model Algebraic Equations 102 Using
Algebra Tiles to Model Algebraic Equations 103 Field
Properties 104
Recognizing Patterns 105
Finding the nth Term in a Pattern 106
Finite Differences to Generalize a Rule 107
Dependency and Correlational Relationships 108
Recognizing and Evaluating Functions 109
Functions in Problem Situations 110
Domain and Range 111
Linear and Quadratic Relationships 112
Parent Graphs and Transformations 113 Slope
and Intercept 114
Interpreting Graphs 115
Direct Variation 116
Inverse Variation Geometry Introduction 1 Adding
and Subtracting Integers 2
Multiplying and Dividing Integers 3 Equations
Involving the Distributive Property 4
Equations with the Variable on Both Sides 5 Points,
Lines, Planes, and Space 6
Segments, Rays, and Length 7 Segment
Addition Postulate and Midpoint 8 Angles
and Measure 9 Angle
Addition Postulate and Angle Bisector 10
Inductive vs. Deductive Reasoning 11
Conditional Statements 12
Properties 13
Algebra Proofs with Properties 14
Geometry Proofs with Midpoints and Angle Bisectors Angle
pairs & perpendicular lines 15
Solving Systems by Addition 16
Solving Systems by Substitution and Method of Choice 17
Factoring Trinomials 18
Factoring Trinomials and Difference of Two Squares 19
Polynomial Equations 20
Complementary and Supplementary Angles 21
Advanced Complementary and Supplementary Angles 22
Vertical Angles 23 Problems
Involving Perpendicular Lines 24
Theorems Involving Perpendicular Lines Parallel
lines and polygons 25
Parallel Lines Vocabulary 26 Given
Lines are Parallel 27
Proving Lines are Parallel 28
Triangle Vocabulary and Triangle Sum Theorem 29
Advanced Triangle Sum Theorem 30
Triangle Word Problems and Exterior Angle Theorem 31
Polygon Vocabulary 32 Sum of
Interior and Exterior Angles of a Polygon 33
Regular Polygons Triangles 34
Congruent Figures 35
Proving Triangles are Congruent by SSS, SAS, and ASA 36
Isosceles Triangle Theorems 37
Proving Triangles are Congruent by AAS and HL 38
Medians, Altitudes, and Perpendicular Bisectors Quadrilaterals 39
Properties of Parallelograms 40
Proving a Quadrilateral is a Parallelogram 41 More Parallel
Line Theorems 42
Rectangles, Rhombuses, and Squares 43
Trapezoids Similarity 44 Ratio 45
Proportion 46
Properties of Similar Polygons 47
Angle-Angle Similarity Postulate 48
Similarity Word Problems 49 SSS
and SAS Similarity Theorems 50
Triangle Proportionality and Triangle Angle-Bisector Theorems Right
triangles 51
Simplifying Square Roots 52
Multiplying Square Roots 53
Dividing Square Roots 54 Adding
and Subtracting Square Roots 55
Pythagorean Theorem 56
Pythagorean Theorem Word Problems 57 Converse
of the Pythagorean Theorem 58
30-60-90 and 45-45-90 Degree Triangles 59
Advanced 30-60-90 and 45-45-90 Degree Triangles 60 Sine,
Cosine, and Tangent 61 Sine,
Cosine, and Tangent with a Calculator 62
Trigonometry Word Problems Circles 63 Circle
Vocabulary 64
Tangents 65 Arcs
and Central Angles 66 Arcs
and Chords 67
Advanced Arcs and Chords 68
Inscribed Angles 69 Angles
Formed by Chords, Secants, and Tangents 70 Circle
Segment Lengths 71
Advanced Circle Segment Lengths Area 72 Area
of Rectangles and Squares 73
Advanced Area of Rectangles and Squares 74 Area
of Parallelograms 75 Area
of Triangles 76 Area
of Rhombuses 77 Area
of Trapezoids 78 Area
of Regular Polygons 79 Area
and Circumference of Circles Volume 80 Area
and Volume of Prisms 81 Advanced
Area and Volume of Prisms 82 Area
and Volume of Pyramids 83
Advanced Area and Volume of Pyramids 84 Area
and Volume of Cylinders and Cones 85 Area
and Volume of Spheres Algebra 2 Simplifying 1 Adding
and Subtracting Integers 2 Multiplying
and Dividing Integers 3 Order
of Operations 4
Evaluation 5
Absolute Value 6
Distributive Property and Combining Like Terms Equations 7
Two-Step Equations 8
Equations with Fractions 9
Equations with Variable on Both Sides 10
Equations with Variable on Both Sides and Distributive 11
Literal Equations 12
Advanced Literal Equations Word
problems 13 Number
Word Problems 14
Geometry Word Problems 15
Mixture Word Problems 16 Motion
Word Problems 17
Advanced Motion Word Problems Inequalities,
absolute value, functions, graphing 18
Solving and Graphing Inequalities 19
Combined Inequalities 20
Advanced Inequalities 21
Absolute Value Equations 22
Absolute Value Inequalities 23 The
Coordinate System 24 Domain
and Range 25
Definition of a Function 26
Function and Arrow Notation 27
Graphing Lines 28 The
Intercept Method Linear
equations 29 Slope
of a Line 30 Using
Slope to Graph a Line 31 Slope
Formula 32 Using
Slope Formula to Find Missing Coordinates 33
Slope-Intercept Form 34
Converting to Slope-Intercept Form and Graphing 35
Writing Equations of Lines in Standard Form 36
Writing Equations of Lines Using the Point-Slope Formula 37
Writing Equations of Lines Given Two Points 38
Writing Equations of Parallel and Perpendicular Lines Systems of
equations 39
Solving Systems by Graphing 40
Solving Systems by Addition 41
Solving Systems by Substitution 42
Systems of Equations with Fractions and Method of Choice 43 Number
and Value Word Problems 44 Wind
and Current Word Problems Exponents
& polynomials 45 The
Product Rule 46 The
Power Rule 47 The
Quotient Rule 48
Numerical Bases and Exponents of Zero 49
Combining Exponent Rules 50
F.O.I.L. 51
Advanced Multiplying Polynomials Factoring 52
Greatest Common Factor 53
Factoring out the Greatest Common Factor 54
Factoring Trinomials with Positive Constants 55
Factoring Trinomials with Negative Constants 56
Difference of Two Squares 57
Factoring Trinomials with Lead Coefficients and Positive Constants 58 Factoring
Trinomials with Lead Coefficients and Negative Constants 59
Factoring by Grouping 60
Advanced Factoring by Grouping 61
Factoring Completely 62
Advanced Factoring Completely 63
Beginning Polynomial Equations 64
Intermediate Polynomial Equations 65
Advanced Polynomial Equations Rational
expressions & equations 66
Simplifying Rational Expressions 67
Multiplying and Dividing Rational Expressions 68 Adding
Rational Expressions 69
Subtracting Rational Expressions 70
Complex Fractions 71
Rational Equations 72
Advanced Rational Equations Radicals 73
Simplifying Radicals 74
Multiplying Radicals 75
Dividing Radicals 76 Adding
Radicals and FOILing with Radicals 77
Dividing Radicals Using Conjugates 78
Radical Equations 79
Advanced Radical Equations Quadratics 80 Taking
the Square Root of Both Sides 81
Completing The Square 82
Advanced Completing The Square 83
Quadratic Formula 84
Advanced Quadratic Formula 85
Solving Quadratic Equations Using Method of Choice Imaginary
& complex numbers 86
Imaginary Numbers 87
Advanced Imaginary Numbers 88
Complex Numbers 89
Advanced Complex Numbers Quadratic
equations & functions 90
Understanding y - k = a(x - h)2 Form 91
Graphing Quadratic Equations in y - k = a(x - h)2 Form 92
Writing Quadratic Equations in y - k = a(x - h)2 Form 93
Graphing Quadratic Functions 94 Sum
and Product of Roots Formula 95
Writing Quadratic Functions Coordinate
geometry 96
Distance Formula 97
Midpoint Formula 98
Equation of a Circle Negative
& rational exponents 99 Negative
Exponents 100
Numerical Bases with Negative Exponents 101
Multiplying and Dividing with Negative Exponents 102
Multiplying and Dividing with Scientific Notation 103
Rational Exponents 104
Numerical Bases with Rational Exponents 105
Writing Radicals in Exponential Form 106
Solving Equations with Rational Exponents 107
Radical Exponents Composite
& inverse functions 108
Composite Functions: f(g(x)) and g(f(x)) 109
Inverse Relations 110
Inverse Functions Logarithms 111
Evaluating Logarithms and Logarithmic vs. Exponential Form 112
Solving Logarithmic Equations 113
Logarithm Rules and Properties 114
Evaluating Logarithms by Condensing or Expanding 115
Solving Advanced Logarithmic Equations 116
Logarithm Calculator Problems 117
Exponential Equations and Change of Base Formula 118
Exponential Growth and Decay 119 Half
Life and Doubling Time Formulas 120
Natural Logarithms 121
Solving Natural Logarithm Equations with ln and e Advanced
concepts 122
Systems of Inequalities 123
Systems of Three Equations 124 Sum
and Difference of Two Cubes 125
Quadratic Word Problems 126
Polynomial Inequalities 127 Work
Word Problems 128
Adding and Subtracting Polynomials 129
Polynomial Long Division 130
Synthetic Division Factors
and multiples Factors
and multiples: Factors and multiples Prime and
composite numbers: Factors and multiples Prime
factorization: Factors and multiples Patterns Math
patterns: Patterns Writing
expressions: Patterns Number
patterns: Patterns Ratios
and rates Intro to
ratios: Ratios and rates Equivalent
ratios: Ratios and rates Visualize
ratios: Ratios and rates Ratio
application: Ratios and rates Intro to
rates: Ratios and rates Percentages Intro to
percents: Percentages Percent,
decimal, fraction conversions: Percentages Percent
problems: Percentages Percent
word problems: Percentages Exponents
intro and order of operations Exponents:
Exponents intro and order of operations Order of
operations: Exponents intro and order of operations Variables
& expressions Parts of
algebraic expressions: Variables & expressions Substitution
& evaluating expressions: Variables & expressions Expression
value intuition: Variables & expressions Evaluating
expressions word problems: Variables & expressions Writing
algebraic expressions introduction: Variables & expressions Writing
basic algebraic expressions word problems: Variables & expressions Distributive
property with variables: Variables & expressions Combining
like terms: Variables & expressions Equivalent
expressions: Variables & expressions Equations
& inequalities introduction Algebraic
equations basics: Equations & inequalities introduction One-step
equations intuition: Equations & inequalities introduction One-step
addition & subtraction equations: Equations & inequalities
introduction One-step multiplication
and division equations: Equations & inequalities introduction Finding
mistakes in one-step equations: Equations & inequalities introduction One-step
equation word problems: Equations & inequalities introduction Intro to
inequalities with variables: Equations & inequalities introduction Dependent
and independent variables: Equations & inequalities introduction Percent
& rational number word problems Percent
word problems: Percent & rational number word problems Rational
number word problems: Percent & rational number word problems Proportional
relationships Rate
problems with fractions: Proportional relationships Constant
of proportionality: Proportional relationships Compare
and interpret constants of proportionality: Proportional relationships Identifying
proportional relationships: Proportional relationships Graphs of
proportional relationships: Proportional relationships Writing
& solving proportions: Proportional relationships Equations
of proportional relationships: Proportional relationships One-step
and two-step equations & inequalities Combining
like terms: One-step and two-step equations & inequalities The
distributive property & equivalent expressions: One-step and two-step
equations & inequalities Interpreting
linear expressions: One-step and two-step equations & inequalities Two-step
equations intro: One-step and two-step equations & inequalities Two-step
equations with decimals and fractions: One-step and two-step equations &
inequalities Two-step
equation word problems: One-step and two-step equations & inequalities One-step
inequalities: One-step and two-step equations & inequalities Two-step
inequalities: One-step and two-step equations & inequalities Roots,
exponents, & scientific notation Square
roots & cube roots: Roots, exponents, & scientific notation Exponent
properties intro: Roots, exponents, & scientific notation Negative
exponents: Roots, exponents, & scientific notation Exponent
properties (integer exponents): Roots, exponents, & scientific notation Working
with powers of 10: Roots, exponents, & scientific notation Scientific
notation intro: Roots, exponents, & scientific notation Arithmetic
with numbers in scientific notation: Roots, exponents, & scientific
notation Scientific
notation word problems: Roots, exponents, & scientific notation Multi-step
equations Equations
with variables on both sides: Multi-step equations Equations
with parentheses: Multi-step equations Number of
solutions to equations: Multi-step equations Equations
word problems: Multi-step equations Two-variable
equations Graphing
proportional relationships: Two-variable equations Solutions
to linear equations: Two-variable equations Intercepts:
Two-variable equations Slope:
Two-variable equations Intro to
slope-intercept form: Two-variable equations Graphing
slope-intercept form: Two-variable equations Writing
slope-intercept equations: Two-variable equations Functions
and linear models Functions:
Functions and linear models Linear
models: Functions and linear models Comparing
linear functions: Functions and linear models Constructing
linear models for real-world relationships: Functions and linear models Recognizing
functions: Functions and linear models Linear
and nonlinear functions: Functions and linear models Systems
of equations Intro to
systems of equations: Systems of equations Systems
of equations with graphing: Systems of equations Solving
systems with substitution Foundations Negative
numbers: Foundations Absolute
value: Foundations Exponents:
Foundations Square
roots: Foundations Order of
operations: Foundations Fractions:
Foundations Decimals,
fractions and percentages: Foundations Operations
with decimals: Foundations Area of
triangles: Foundations Circumference
and area of circles: Foundations Algebraic
expressions Introduction
to variables: Algebraic expressions Substitution
& evaluating expressions: Algebraic expressions Writing
algebraic expressions: Algebraic expressions Combining
like terms: Algebraic expressions Distributive
property: Algebraic expressions Equivalent
algebraic expressions: Algebraic expressions Nested
fractions: Algebraic expressions Linear
equations and inequalities One-step
equations: Linear equations and inequalities Two-steps
equations: Linear equations and inequalities Multi-step
equations: Linear equations and inequalities One-step
inequalities: Linear equations and inequalities Two-step
inequalities: Linear equations and inequalities Multi-step
inequalities: Linear equations and inequalities Writing
& solving proportions: Linear equations and inequalities Graphing
lines and slope Coordinate
plane: Graphing lines and slope Solutions
to two-variable linear equations: Graphing lines and slope x-intercepts
and y-intercepts: Graphing lines and slope Slope:
Graphing lines and slope Horizontal
& vertical lines: Graphing lines and slope Slope-intercept
form intro: Graphing lines and slope Writing
slope-intercept equations: Graphing lines and slope Graphing
two-variable inequalities: Graphing lines and slope Systems
of equations Systems of
equations intro: Systems of equations Elimination
method for systems of equations: Systems of equations Substitution
method for systems of equations: Systems of equations Number of
solutions to systems of equations: Systems of equations Expressions
with exponents Exponent
properties intro: Expressions with exponents Negative
exponents: Expressions with exponents Exponent
properties (integer exponents): Expressions with exponents Scientific
notation intro: Expressions with exponents Scientific
notation word problems: Expressions with exponents Quadratics
and polynomials Adding
& subtracting polynomials: Quadratics and polynomials Multiplying
binomials: Quadratics and polynomials Special
products of binomials: Quadratics and polynomials Factoring
polynomials by taking common factors: Quadratics and polynomials Factoring
quadratics 1: Quadratics and polynomials Factoring
quadratics 2: Quadratics and polynomials Factoring
quadratics: Difference of squares: Quadratics and polynomials Factoring
quadratics: Perfect squares: Quadratics and polynomials Solving
quadratic equations by factoring: Quadratics and polynomials Equations
and geometry Equations
& geometry: Equations and geometry Triangle
angles: Equations and geometry Pythagorean
theorem: Equations and geometry Triangle
similarity intro: Equations and geometry Solving
similar triangles Algebra
foundations Overview
and history of algebra: Algebra foundations Introduction
to variables: Algebra foundations Substitution
and evaluating expressions: Algebra foundations Combining
like terms: Algebra foundations Introduction
to equivalent expressions: Algebra foundations Division
by zero: Algebra foundations Solving
equations & inequalities Linear equations
with variables on both sides: Solving equations & inequalities Linear
equations with parentheses: Solving equations & inequalities Analyzing
the number of solutions to linear equations: Solving equations &
inequalities Linear
equations with unknown coefficients: Solving equations & inequalities Multi-step
inequalities: Solving equations & inequalities Compound
inequalities: Solving equations & inequalities Working
with units Rate
conversion: Working with units Appropriate
units: Working with units Word
problems with multiple units: Working with units Linear
equations & graphs Two-variable
linear equations intro: Linear equations & graphs Slope:
Linear equations & graphs Horizontal
& vertical lines: Linear equations & graphs x-intercepts
and y-intercepts: Linear equations & graphs Applying
intercepts and slope: Linear equations & graphs Forms of
linear equations Intro to
slope-intercept form: Forms of linear equations Graphing
slope-intercept equations: Forms of linear equations Writing
slope-intercept equations: Forms of linear equations Point-slope
form: Forms of linear equations Standard
form: Forms of linear equations Summary:
Forms of two-variable linear equations: Forms of linear equations Systems
of equations Introduction
to systems of equations: Systems of equations Solving
systems of equations with substitution: Systems of equations Solving
systems of equations with elimination: Systems of equations Equivalent
systems of equations: Systems of equations Number of
solutions to systems of equations: Systems of equations Systems
of equations word problems: Systems of equations Inequalities
(systems & graphs) Checking
solutions of two-variable inequalities: Inequalities (systems & graphs) Graphing
two-variable inequalities: Inequalities (systems & graphs) Modeling
with linear inequalities: Inequalities (systems & graphs) Functions Evaluating
functions: Functions Inputs
and outputs of a function: Functions Functions
and equations: Functions Interpreting
function notation: Functions Introduction
to the domain and range of a function: Functions Determining
the domain of a function: Functions Recognizing
functions: Functions Maximum
and minimum points: Functions Intervals
where a function is positive, negative, increasing, or decreasing: Functions Interpreting
features of graphs: Functions Average
rate of change: Functions Average
rate of change word problems: Functions Intro to
inverse functions: Functions Sequences Introduction
to arithmetic sequences: Sequences Constructing
arithmetic sequences: Sequences Introduction
to geometric sequences: Sequences Constructing
geometric sequences: Sequences Modeling
with sequences: Sequences General
sequences: Sequences Absolute
value & piecewise functions Graphs of
absolute value functions: Absolute value & piecewise functions Piecewise
functions: Absolute value & piecewise functions Exponents
& radicals Exponent
properties review: Exponents & radicals Radicals:
Exponents & radicals Simplifying
square roots: Exponents & radicals Exponential
growth & decay Exponential
vs. linear growth: Exponential growth & decay Exponential
expressions: Exponential growth & decay Graphs of
exponential growth: Exponential growth & decay Exponential
vs. linear growth over time: Exponential growth & decay Exponential
growth & decay: Exponential growth & decay Exponential
functions from tables & graphs: Exponential growth & decay Exponential
vs. linear models: Exponential growth & decay Quadratics:
Multiplying & factoring Multiplying
monomials by polynomials: Quadratics: Multiplying & factoring Multiplying
binomials: Quadratics: Multiplying & factoring Special
products of binomials: Quadratics: Multiplying & factoring Introduction
to factoring: Quadratics: Multiplying & factoring Factoring
quadratics intro: Quadratics: Multiplying & factoring Factoring
quadratics by grouping: Quadratics: Multiplying & factoring Factoring
quadratics with difference of squares: Quadratics: Multiplying &
factoring Factoring
quadratics with perfect squares: Quadratics: Multiplying & factoring Strategy
in factoring quadratics: Quadratics: Multiplying & factoring Quadratic
functions & equations Intro to
parabolas: Quadratic functions & equations Solving
and graphing with factored form: Quadratic functions & equations Solving
by taking the square root: Quadratic functions & equations Vertex
form: Quadratic functions & equations Solving
quadratics by factoring: Quadratic functions & equations The
quadratic formula: Quadratic functions & equations Completing
the square intro: Quadratic functions & equations More on
completing the square: Quadratic functions & equations Strategizing
to solve quadratic equations: Quadratic functions & equations Quadratic
standard form: Quadratic functions & equations Features
& forms of quadratic functions: Quadratic functions & equations Comparing
quadratic functions: Quadratic functions & equations Transforming
quadratic functions: Quadratic functions & equations Irrational
numbers Mastery
unavailable Irrational
numbers: Irrational numbers Sums and
products of rational and irrational numbers: Irrational numbers Proofs
concerning irrational numbers Intro to
area and perimeter Count
unit squares to find area: Intro to area and perimeter Area
formula intuition: Intro to area and perimeter Multiply
to find area: Intro to area and perimeter Area and
the distributive property: Intro to area and perimeter Decompose
figures to find area: Intro to area and perimeter Perimeter
intro: Intro to area and perimeter Perimeters
of polygons with missing side lengths: Intro to area and perimeter Perimeter
word problems: Intro to area and perimeter Comparing
area and perimeter: Intro to area and perimeter Area
versus perimeter: Intro to area and perimeter Intro to
mass and volume Mass:
Intro to mass and volume Volume:
Intro to mass and volume Measuring
angles Parts of
plane figures: Measuring angles Angle
introduction: Measuring angles Angle
types: Measuring angles Understanding
angle measurement: Measuring angles Measuring
angles: Measuring angles Decomposing
angles: Measuring angles Plane
figures Quadrilaterals
introduction: Plane figures Classifying
triangles: Plane figures Parallel
and perpendicular: Plane figures Classifying
geometric shapes: Plane figures Lines of
symmetry: Plane figures More on quadrilaterals:
Plane figures Properties
of shapes: Plane figures Units of
measurement Estimating
length: Units of measurement Converting
units of mass: Units of measurement Converting
units of volume: Units of measurement Converting
units of length: Units of measurement Conversion
word problems (larger to smaller): Units of measurement Converting
to larger or smaller: Units of measurement Converting
metric units word problems: Units of measurement Volume Volume
with unit cubes: Volume Volume of
rectangular prisms: Volume Decompose
figures to find volumes: Volume Volume
word problems: Volume Coordinate
plane Intro to
the coordinate plane: Coordinate plane Coordinate
plane word problems: Coordinate plane Points in
all four quadrants: Coordinate plane Problem
solving in all quadrants: Coordinate plane Decomposing
to find area Area of
parallelograms: Decomposing to find area Area of
triangles: Decomposing to find area Area and
perimeter on the coordinate plane: Decomposing to find area Area of composite
figures: Decomposing to find area 3D
figures Rectangular
prism volume with fractions: 3D figures Surface
area with nets: 3D figures Finding
surface area: 3D figures Slicing
geometric shapes: 3D figures Volume
and surface area word problems: 3D figures Circles,
cylinders, cones, and spheres Area and
circumference of circles: Circles, cylinders, cones, and spheres Area and
circumference of fractions of circles: Circles, cylinders, cones, and spheres Volume of
cylinders, spheres, and cones: Circles, cylinders, cones, and spheres Angle
relationships Vertical,
complementary, and supplementary angles: Angle relationships Missing
angles problems: Angle relationships Parallel
lines and transversals: Angle relationships Triangle
angles: Angle relationships Scale Scale
copies: Scale Scale
drawings: Scale Triangle
side lengths Constructing
triangles: Triangle side lengths Pythagorean
theorem: Triangle side lengths Pythagorean
theorem application: Triangle side lengths Pythagorean
theorem and distance between points: Triangle side lengths Geometric
transformations Transformations
intro: Geometric transformations Translations:
Geometric transformations Rotations:
Geometric transformations Reflections:
Geometric transformations Properties
& definitions of transformations: Geometric transformations Dilations:
Geometric transformations Congruence
and similarity Performing
transformations Intro to
Euclidean geometry: Performing transformations Introduction
to rigid transformations: Performing transformations Translations:
Performing transformations Rotations:
Performing transformations Reflections:
Performing transformations Dilations:
Performing transformations Transformation
properties and proofs Rigid
transformations overview: Transformation properties and proofs Dilation
preserved properties: Transformation properties and proofs Properties
& definitions of transformations: Transformation properties and proofs Symmetry:
Transformation properties and proofs Proofs
with transformations: Transformation properties and proofs Congruence Transformations
& congruence: Congruence Triangle
congruence from transformations: Congruence Congruent
triangles: Congruence Theorems
concerning triangle properties: Congruence Working with
triangles: Congruence Theorems
concerning quadrilateral properties: Congruence Proofs of
general theorems: Congruence Constructing
lines & angles: Congruence Similarity Definitions
of similarity: Similarity Introduction
to triangle similarity: Similarity Solving
similar triangles: Similarity Angle
bisector theorem: Similarity Solving
problems with similar & congruent triangles: Similarity Proving
relationships using similarity: Similarity Solving
modeling problems with similar & congruent triangles: Similarity Right
triangles & trigonometry Pythagorean
theorem: Right triangles & trigonometry Pythagorean
theorem proofs: Right triangles & trigonometry Special
right triangles: Right triangles & trigonometry Ratios in
right triangles: Right triangles & trigonometry Introduction
to the trigonometric ratios: Right triangles & trigonometry Solving
for a side in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Solving
for an angle in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Sine
& cosine of complementary angles: Right triangles & trigonometry Modeling
with right triangles: Right triangles & trigonometry Analytic
geometry Distance
and midpoints: Analytic geometry Dividing line
segments: Analytic geometry Problem
solving with distance on the coordinate plane: Analytic geometry Parallel
& perpendicular lines on the coordinate plane: Analytic geometry Equations
of parallel & perpendicular lines: Analytic geometry Conic
sections Graphs of
circles intro: Conic sections Standard
equation of a circle: Conic sections Expanded
equation of a circle: Conic sections Focus and
directrix of a parabola: Conic sections Circles Circle
basics: Circles Arc
measure: Circles Arc
length (from degrees): Circles Introduction
to radians: Circles Arc
length (from radians): Circles Sectors:
Circles Inscribed
angles: Circles Inscribed
shapes problem solving: Circles Proofs
with inscribed shapes: Circles Properties
of tangents: Circles Constructing
regular polygons inscribed in circles: Circles Constructing
circumcircles & incircles: Circles Constructing
a line tangent to a circle: Circles Solid
geometry 2D vs. 3D
objects: Solid geometry Cavalieri's
principle and dissection methods: Solid geometry Volume
and surface area: Solid geometry Density Polynomial
arithmetic Intro to
polynomials: Polynomial arithmetic Average
rate of change of polynomials: Polynomial arithmetic Adding
and subtracting polynomials: Polynomial arithmetic Multiplying
monomials by polynomials: Polynomial arithmetic Multiplying
binomials by polynomials: Polynomial arithmetic Special
products of polynomials: Polynomial arithmetic Complex
numbers The
imaginary unit i: Complex numbers Complex
numbers introduction: Complex numbers The
complex plane: Complex numbers Adding
and subtracting complex numbers: Complex numbers Multiplying
complex numbers: Complex numbers Quadratic
equations with complex solutions: Complex numbers Polynomial
factorization Factoring
monomials: Polynomial factorization Greatest
common factor: Polynomial factorization Taking
common factors: Polynomial factorization Factoring
higher degree polynomials: Polynomial factorization Factoring
using structure: Polynomial factorization Polynomial
identities: Polynomial factorization Geometric
series: Polynomial factorization Polynomial
division Dividing
polynomials by x: Polynomial division Dividing
quadratics by linear factors: Polynomial division Dividing
polynomials by linear factors: Polynomial division Polynomial
Remainder Theorem: Polynomial division Polynomial
graphs Zeros of
polynomials: Polynomial graphs Positive
and negative intervals of polynomials: Polynomial graphs End
behavior of polynomials: Polynomial graphs Putting
it all together: Polynomial graphs Rational
exponents and radicals Rational
exponents: Rational exponents and radicals Properties
of exponents (rational exponents): Rational exponents and radicals Evaluating
exponents & radicals: Rational exponents and radicals Equivalent
forms of exponential expressions: Rational exponents and radicals Solving
exponential equations using properties of exponents: Rational exponents and
radicals Exponential
models Interpreting
the rate of change of exponential models: Exponential models Constructing
exponential models according to rate of change: Exponential models Advanced
interpretation of exponential models: Exponential models Logarithms Introduction
to logarithms: Logarithms The
constant e and the natural logarithm: Logarithms Properties
of logarithms: Logarithms The
change of base formula for logarithms: Logarithms Solving
exponential equations with logarithms: Logarithms Solving
exponential models: Logarithms Transformations
of functions Shifting
functions: Transformations of functions Reflecting
functions: Transformations of functions Symmetry
of functions: Transformations of functions Scaling
functions: Transformations of functions Putting
it all together: Transformations of functions Graphs of
square and cube root functions: Transformations of functions Graphs of
exponential functions: Transformations of functions Graphs of
logarithmic functions: Transformations of functions Equations Rational
equations: Equations Square-root
equations: Equations Extraneous
solutions: Equations Cube-root
equations: Equations Quadratic
systems: Equations Solving
equations by graphing: Equations Trigonometry Unit
circle introduction: Trigonometry Radians:
Trigonometry The
Pythagorean identity: Trigonometry Trigonometric
values of special angles: Trigonometry Graphs of
sin(x), cos(x), and tan(x): Trigonometry Amplitude,
midline and period: Trigonometry Transforming
sinusoidal graphs: Trigonometry Graphing
sinusoidal functions: Trigonometry Sinusoidal
models: Trigonometry Modeling Modeling with
function combination: Modeling Interpreting
features of functions: Modeling Manipulating
formulas: Modeling Modeling
with two variables: Modeling Modeling
with multiple variables Right
triangles & trigonometry Ratios in
right triangles: Right triangles & trigonometry Introduction
to the trigonometric ratios: Right triangles & trigonometry Solving
for a side in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Solving
for an angle in a right triangle using the trigonometric ratios: Right
triangles & trigonometry Sine and
cosine of complementary angles: Right triangles & trigonometry Modeling
with right triangles: Right triangles & trigonometry The
reciprocal trigonometric ratios: Right triangles & trigonometry Trigonometric
functions Unit
circle introduction: Trigonometric functions Radians:
Trigonometric functions The
Pythagorean identity: Trigonometric functions Special
trigonometric values in the first quadrant: Trigonometric functions Trigonometric
values on the unit circle: Trigonometric functions Graphs of
sin(x), cos(x), and tan(x): Trigonometric functions Amplitude,
midline, and period: Trigonometric functions Transforming
sinusoidal graphs: Trigonometric functions Graphing sinusoidal
functions: Trigonometric functions Sinusoidal
models: Trigonometric functions Long live
Tau: Trigonometric functions Non-right
triangles & trigonometry Law of
sines: Non-right triangles & trigonometry Law of
cosines: Non-right triangles & trigonometry Solving
general triangles: Non-right triangles & trigonometry Trigonometric
equations and identities Inverse
trigonometric functions: Trigonometric equations and identities Sinusoidal
equations: Trigonometric equations and identities Sinusoidal
models: Trigonometric equations and identities Angle
addition identities: Trigonometric equations and identities Using
trigonometric identities: Trigonometric equations and identities Challenging
trigonometry problems Analyzing
categorical data Analyzing
one categorical variable: Analyzing categorical data Two-way
tables: Analyzing categorical data Distributions
in two-way tables: Analyzing categorical data Displaying
and comparing quantitative data Displaying
quantitative data with graphs: Displaying and comparing quantitative data Describing
and comparing distributions: Displaying and comparing quantitative data More on
data displays: Displaying and comparing quantitative data Summarizing
quantitative data Measuring
center in quantitative data: Summarizing quantitative data More on
mean and median: Summarizing quantitative data Interquartile
range (IQR): Summarizing quantitative data Variance
and standard deviation of a population: Summarizing quantitative data Variance and
standard deviation of a sample: Summarizing quantitative data More on
standard deviation: Summarizing quantitative data Box and
whisker plots: Summarizing quantitative data Other
measures of spread: Summarizing quantitative data Modeling
data distributions Percentiles:
Modeling data distributions Z-scores:
Modeling data distributions Effects
of linear transformations: Modeling data distributions Density
curves: Modeling data distributions Normal
distributions and the empirical rule: Modeling data distributions Normal
distribution calculations: Modeling data distributions More on
normal distributions: Modeling data distributions Exploring
bivariate numerical data Introduction
to scatterplots: Exploring bivariate numerical data Correlation
coefficients: Exploring bivariate numerical data Introduction
to trend lines: Exploring bivariate numerical data Least-squares
regression equations: Exploring bivariate numerical data Assessing
the fit in least-squares regression: Exploring bivariate numerical data More on
regression: Exploring bivariate numerical data Study
design Statistical
questions: Study design Sampling
and observational studies: Study design Sampling
methods: Study design Types of
studies (experimental vs. observational): Study design Experiments:
Study design Probability Basic
theoretical probability: Probability Probability
using sample spaces: Probability Basic set
operations: Probability Experimental
probability: Probability Randomness,
probability, and simulation: Probability Addition
rule: Probability Multiplication
rule for independent events: Probability Multiplication
rule for dependent events: Probability Conditional
probability and independence: Probability Counting,
permutations, and combinations Counting
principle and factorial: Counting, permutations, and combinations Permutations:
Counting, permutations, and combinations Combinations:
Counting, permutations, and combinations Combinatorics
and probability: Counting, permutations, and combinations Random
variables Discrete
random variables: Random variables Continuous
random variables: Random variables Transforming
random variables: Random variables Combining
random variables: Random variables Binomial
random variables: Random variables Binomial
mean and standard deviation formulas: Random variables Geometric
random variables: Random variables More on
expected value: Random variables Poisson
distribution: Random variables Sampling
distributions What is a
sampling distribution?: Sampling distributions Sampling distribution
of a sample proportion: Sampling distributions Sampling
distribution of a sample mean: Sampling distributions Confidence
intervals Introduction
to confidence intervals: Confidence intervals Estimating
a population proportion: Confidence intervals Estimating
a population mean: Confidence intervals More
confidence interval videos: Confidence intervals Significance
tests (hypothesis testing) The idea
of significance tests: Significance tests (hypothesis testing) Error
probabilities and power: Significance tests (hypothesis testing) Tests
about a population proportion: Significance tests (hypothesis testing) Tests
about a population mean: Significance tests (hypothesis testing) More
significance testing videos: Significance tests (hypothesis testing) Two-sample
inference for the difference between groups Mastery
unavailable Comparing
two proportions: Two-sample inference for the difference between groups Comparing
two means: Two-sample inference for the difference between groups Inference
for categorical data (chi-square tests) Chi-square
goodness-of-fit tests: Inference for categorical data (chi-square tests) Chi-square
tests for relationships: Inference for categorical data (chi-square tests) Advanced
regression (inference and transforming) Mastery
unavailable Inference
about slope: Advanced regression (inference and transforming) Nonlinear
regression: Advanced regression (inference and transforming) Composite
and inverse functions Composing
functions: Composite and inverse functions Modeling
with composite functions: Composite and inverse functions Invertible
functions: Composite and inverse functions Inverse
functions in graphs and tables: Composite and inverse functions Verifying
inverse functions by composition: Composite and inverse functions Trigonometry Special
trigonometric values in the first quadrant: Trigonometry Trigonometric
identities on the unit circle: Trigonometry Inverse
trigonometric functions: Trigonometry Law of
sines: Trigonometry Law of
cosines: Trigonometry Solving
general triangles: Trigonometry Sinusoidal
equations: Trigonometry Sinusoidal
models: Trigonometry Angle
addition identities: Trigonometry Using
trigonometric identities: Trigonometry Complex
numbers The
complex plane: Complex numbers Distance
and midpoint of complex numbers: Complex numbers Complex
conjugates and dividing complex numbers: Complex numbers Identities
with complex numbers: Complex numbers Modulus
(absolute value) and argument (angle) of complex numbers: Complex numbers Polar form
of complex numbers: Complex numbers Graphically
multiplying complex numbers: Complex numbers Multiplying
and dividing complex numbers in polar form: Complex numbers The
fundamental theorem of algebra: Complex numbers Rational
functions Reducing
rational expressions to lowest terms: Rational functions End
behavior of rational functions: Rational functions Discontinuities
of rational functions: Rational functions Graphs of
rational functions: Rational functions Modeling
with rational functions: Rational functions Multiplying
and dividing rational expressions: Rational functions Adding
and subtracting rational expressions: Rational functions Conic
sections Introduction
to conic sections: Conic sections Center
and radii of an ellipse: Conic sections Foci of
an ellipse: Conic sections Introduction
to hyperbolas: Conic sections Foci of a
hyperbola: Conic sections Hyperbolas
not centered at the origin: Conic sections Vectors Vectors
introduction: Vectors Vector
components: Vectors Magnitude
of vectors: Vectors Scalar
multiplication: Vectors Vector
addition and subtraction: Vectors Direction
of vectors: Vectors Vector
components from magnitude and direction: Vectors Adding
vectors in magnitude and direction form: Vectors Vectors
word problems: Vectors Matrices Introduction
to matrices: Matrices Using
matrices to represent data: Matrices Multiplying
matrices by scalars: Matrices Adding
and subtracting matrices: Matrices Properties
of matrix addition & scalar multiplication: Matrices Using
matrices to manipulate data: Matrices Matrices
as transformations of the plane: Matrices Using
matrices to transform the plane: Matrices Transforming
3D and 4D vectors with matrices: Matrices Multiplying
matrices by matrices: Matrices Properties
of matrix multiplication: Matrices Representing
systems of equations with matrices: Matrices Introduction
to matrix inverses: Matrices Finding
inverses of 2x2 matrices: Matrices Solving
linear systems with matrices: Matrices Probability
and combinatorics Venn
diagrams and the addition rule: Probability and combinatorics Multiplication
rule for probabilities: Probability and combinatorics Permutations:
Probability and combinatorics Combinations:
Probability and combinatorics Probability
using combinatorics: Probability and combinatorics Probability
distributions introduction: Probability and combinatorics Theoretical
& empirical probability distributions: Probability and combinatorics Decisions
with probability: Probability and combinatorics Expected
value: Probability and combinatorics Series Mastery
unavailable Geometric
series: Series Geometric
series (with summation notation): Series The
binomial theorem: Series Arithmetic
series: Series Limits
and continuity Mastery
unavailable Defining
limits and using limit notation: Limits and continuity Estimating
limit values from graphs: Limits and continuity Estimating
limit values from tables: Limits and continuity Determining
limits using algebraic properties of limits: limit properties: Limits and
continuity Determining
limits using algebraic properties of limits: direct substitution: Limits and
continuity Determining
limits using algebraic manipulation: Limits and continuity Selecting
procedures for determining limits: Limits and continuity Determining
limits using the squeeze theorem: Limits and continuity Exploring
types of discontinuities: Limits and continuity Defining
continuity at a point: Limits and continuity Confirming
continuity over an interval: Limits and continuity Removing
discontinuities: Limits and continuity Connecting
infinite limits and vertical asymptotes: Limits and continuity Connecting
limits at infinity and horizontal asymptotes: Limits and continuity Working
with the intermediate value theorem Displaying
a single quantitative variable Frequency
tables and dot plots: Displaying a single quantitative variable Histograms:
Displaying a single quantitative variable Mean and
median in data displays: Displaying a single quantitative variable Interquartile
range: Displaying a single quantitative variable Box and
whisker plots: Displaying a single quantitative variable Analyzing
a single quantitative variable Standard
deviation: Analyzing a single quantitative variable Comparing
distributions: Analyzing a single quantitative variable Percentiles
and z-scores: Analyzing a single quantitative variable Normal
distributions and the empirical rule: Analyzing a single quantitative
variable Normal
distribution calculations: Analyzing a single quantitative variable Two-way
tables Two-way
tables introduction: Two-way tables Distributions
in two-way tables: Two-way tables Scatterplots Fitting
trend lines to scatterplots: Scatterplots Analyzing
trend lines in scatterplots: Scatterplots Residuals:
Scatterplots Study
design Introduction
to planning a study: Study design Potential
problems with sampling: Study design Sampling
methods: Study design Introduction
to experimental design: Study design Inference
and experiments: Study design Probability Venn
diagrams and the addition rule: Probability Multiplication
rule for probabilities: Probability Conditional
probability: Probability Probability
from simulations: Probability Permutations:
Probability Combinations:
Probability Probability
using combinatorics: Probability Probability
distributions & expected value Probability
distributions introduction: Probability distributions & expected value Theoretical
& empirical probability distributions: Probability distributions &
expected value Decisions
with probability: Probability distributions & expected value Expected
value Polynomial
arithmetic Intro to
polynomials: Polynomial arithmetic Average
rate of change of polynomials: Polynomial arithmetic Adding
and subtracting polynomials: Polynomial arithmetic Multiplying
monomials by polynomials: Polynomial arithmetic Multiplying
binomials by polynomials: Polynomial arithmetic Special
products of polynomials: Polynomial arithmetic Complex
numbers The
imaginary unit i: Complex numbers Complex
numbers introduction: Complex numbers The
complex plane: Complex numbers Adding and
subtracting complex numbers: Complex numbers Multiplying
complex numbers: Complex numbers Quadratic
equations with complex solutions: Complex numbers Polynomial
factorization Factoring
monomials: Polynomial factorization Greatest common
factor: Polynomial factorization Taking
common factors: Polynomial factorization Factoring
higher degree polynomials: Polynomial factorization Factoring
using structure: Polynomial factorization Polynomial
identities: Polynomial factorization Geometric
series: Polynomial factorization Polynomial
division Dividing
polynomials by x: Polynomial division Dividing
quadratics by linear factors: Polynomial division Dividing
polynomials by linear factors: Polynomial division Polynomial
Remainder Theorem: Polynomial division Polynomial
graphs Zeros of
polynomials: Polynomial graphs Positive
and negative intervals of polynomials: Polynomial graphs End
behavior of polynomials: Polynomial graphs Putting
it all together: Polynomial graphs Rational
exponents and radicals Rational
exponents: Rational exponents and radicals Properties
of exponents (rational exponents): Rational exponents and radicals Evaluating
exponents & radicals: Rational exponents and radicals Equivalent
forms of exponential expressions: Rational exponents and radicals Solving
exponential equations using properties of exponents: Rational exponents and
radicals Exponential
models Interpreting
the rate of change of exponential models: Exponential models Constructing
exponential models according to rate of change: Exponential models Advanced
interpretation of exponential models: Exponential models Logarithms Introduction
to logarithms: Logarithms The
constant e and the natural logarithm: Logarithms Properties
of logarithms: Logarithms The
change of base formula for logarithms: Logarithms Solving
exponential equations with logarithms: Logarithms Solving
exponential models: Logarithms Transformations
of functions Shifting
functions: Transformations of functions Reflecting
functions: Transformations of functions Symmetry
of functions: Transformations of functions Scaling
functions: Transformations of functions Putting
it all together: Transformations of functions Graphs of
square and cube root functions: Transformations of functions Graphs of
exponential functions: Transformations of functions Graphs of
logarithmic functions: Transformations of functions Equations Rational
equations: Equations Square-root
equations: Equations Extraneous
solutions: Equations Cube-root
equations: Equations Quadratic
systems: Equations Solving
equations by graphing: Equations Trigonometry Unit
circle introduction: Trigonometry Radians:
Trigonometry The
Pythagorean identity: Trigonometry Trigonometric
values of special angles: Trigonometry Graphs of
sin(x), cos(x), and tan(x): Trigonometry Amplitude,
midline and period: Trigonometry Transforming
sinusoidal graphs: Trigonometry Graphing
sinusoidal functions: Trigonometry Sinusoidal
models: Trigonometry Modeling Modeling
with function combination: Modeling Interpreting
features of functions: Modeling Manipulating
formulas: Modeling Modeling
with two variables: Modeling Modeling
with multiple variables (C)
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