Current list of eDLAs available
This page provides faculty with a list of Math eDLAs that are available to assign to their students.
- Math eDLAs are interactive video lessons that both teach and assess skills.
- If any of your classes require students to have mathematical skills in order to succeed in the course you might consider assigning some of these lessons.
- Students access the eDLAs through a Canvas shell that is assigned to our Math Learning Center. In order for your students to get access to the Canvas shell, they register for our free, non-credit Math N01 Supervised Tutoring course. They do so by following a link that the Math Learning Center will provide each semester. Email the MLC coordinators at: mathlearningcenter@cypresscollege.edu in order to receive the link. In your email ask about the current procedures for obtaining student grades on the eDLAs.
Below is a list of all available Math eDLAs. The objectives are listed after the title.
Absolute Value Equations and Inequalities
- Solving Absolute Value Equations
- More Absolute Value Equations
- Absolute Value Inequalities with < or ≤
- Absolute Value Inequalities with > or ≥
- More Absolute Value Inequalities
Adding and Subtracting Fractions
- Adding or subtracting fractions with common denominators
- Finding the Least Common Denominator
- Adding and subtracting fractions with unlike denominators
Adding and Subtracting Rational Expressions
- Finding the Least Common Denominator (LCD)
- Adding and Subtracting Rational Expressions
Analyzing Graphs of Functions
- Finding Function Values from a Graph
- Even and Odd Functions
- Intercepts of Graphs
- Determine the Sign of Function Values from a Graph
- Increasing, Decreasing and Constant Functions on an Interval 6. Determine Domain and Range from a Graph
Angles and Lines
- Angle Definitions
- Complementary, Supplementary and Vertical Angles
- Lines Cut by a Transversal
- Triangles and their Angles
Applications of Linear Equations
- Perimeter and Area Problems
- Distance, Rate and Time Problems
- Value Mixture Problems
- Concentration Mixture Problems
- Consecutive Integer Problems
- Problems Involving Fixed and Variable Costs
- Problems Involving Complementary and Supplementary Angles
- Investment Problems
Applications of Optimization
- Optimization Applications where the Function to Optimize is Given
- Maximizing Profit or Revenue, Given the Price Function
- Maximizing Area or Volume
- Maximizing Profit or Revenue where the Price Function is Not Given
- Minimizing Materials Used and Cost of Materials
Applications of Quadratic Equations
- Perimeter and Area Problems
- Work Rate Problems
- Pythagorean Theorem Applications
- Consecutive Integer Problems
- Projectile Problems
- Compound Interest Problems
- Distance, Rate, and Time Problems
Applications of Rational Equations
- Work Rate Problems
- Distance, Rate, and Time Problems
- Proportion Problems
- Number Problems
Applications of Systems of Equations
- Problems Involving Finding Unknown Numbers
- Problems Involving Cost
- Distance, Rate, and Time Problems
- Problems Involving Geometry
- Break Even Analysis
- Problems Involving Coins
Arithmetic and Geometric Sequences
- Sequences in General
- Successive Differences
- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
Basic Probability
- Simple Probability
- Addition Rule for Disjoint Events
- General Addition Rule
- Complement Rule
- Multiplication Rule for Independent Events
- Conditional Probability
- General Multiplication Rule (Dependent Events)
Binomial Distribution
- Determining if an Experiment is a Binomial Experiment
- Calculating Probabilities for a Binomial Distribution
Circles, Distance, and Midpoint Formulas
- Distance Formula
- Midpoint Formula
- Equations and Graphs of Circles
- Convert from General Form to Standard Form
Completing the Square
- Square Root Property
- Perfect Square Trinomials
- Completing the Square when a=1
- Completing the Square when a≠1
Complex Fractions
- Complex Fractions and Their Numerators and Denominators
- Find the Least Common Denominator (LCD) in a Complex Fraction
- Simplify Complex Fractions Using the LCD
Constructing Confidence Intervals
- Constructing Confidence Interval for population Proportion
- Constructing Confidence Interval for Population Mean
- Constructing Confidence Interval for Population Variance and Population Standard Deviation
- Identifying the Appropriate Formula and Calculator Function
Decimal Operations
- Place Settings
- Adding and Subtracting Decimals
- Multiplying and Dividing with Decimals
Definition of the Derivative – Business Calculus
- Average Rate of Change
- Instantaneous Rate of Change
- Definition of the Derivative
- Find the Derivative of Quadratic and Cubic Functions
Definition of the Derivative – Calculus
- Average Rate of Change
- Instantaneous Rate of Change
- Definition of the Derivative
- Find the Derivative of Quadratic and Cubic Functions
- Find the Derivative of Rational Functions
- Find the Derivative of Radical Functions
Differentiation of Logarithmic and Exponential Functions
- The Derivative of Logarithmic Functions
- The Derivative of Exponential Functions
- The Derivative of Combinations of Logarithmic and Exponential Functions
- Applications of Derivatives
Differentiation Rules: Power, Product, and Quotient
- Fundamental Differentiation Rules
- Product Rule
- Quotient Rule
Distance and Intervals
- Distance Formula
- Interval Notation and Set Builder Notation
- Intervals represented by Absolute Value Inequalities
- Solve Absolute Value Inequalities
Dividing a Polynomial by a Monomial
- Divide a Monomial by a Monomial
- Divide a Polynomial by a Monomial (with one variable)
- Divide a Polynomial by a Monomial (with more than one variable)
Dividing Polynomials
- Long Division without Missing Terms
- Long Division with Missing Terms
- Factoring Using Long Division
- Synthetic Division
Domain and Range – Basics
- Relations, Functions, Domain and Range
- Determine the Domain and Range of a Relation from the Graph
- Determine the Domain of a Function from the Equation
Domain and Range – Intermediate
- Relations, Functions, Domain and Range
- Determine the Domain and Range of a Relation from the Graph
- Determine the Domain of a Function from the Equation
- More Examples of Finding the Domain of Algebraic Functions
- Domain of Exponential and Logarithmic Functions
Elasticity of Demand
- Relative Rates
- Elasticity of Demand
- Applications of Elasticity of Demand
- Maximizing Revenue
Ellipses
- Equations and Graphs of Ellipses
- Convert from General Form to Standard Form
- Graph Ellipses
- Determine the Equation of an Ellipse
- Applications of Ellipses
Evaluating Algebraic Expressions
- Definitions of Constants, Variables, and Expressions
- Evaluating Algebraic Expressions of One Variable
- Evaluating Algebraic Expressions of Two Variables
Exponent Rules – Integers
- Using the Power Rule
- Evaluating Expressions Raised to the Zero Power
- Using the Quotient Rule
- Evaluating Negative Exponents
- using the Power Rules
Exponentials and Logarithms – Basics
- Find Values of Exponential Functions
- Solve Exponential Equations with the Same Base
- Equivalent Exponential and Logarithmic Equations
- Find Values of Logarithmic Functions
- Expanding and Contracting Logarithmic Expressions
- Solve Basic Logarithmic Equations
Exponentials and Logarithms – Intermediate
- Find Values of Exponential Functions
- Solve Exponential Equations with the Same Base
- Equivalent Exponential and Logarithmic Equations
- Find Values of Logarithmic Functions
- Inverse Properties of Exponential and Logarithmic Functions
- Expanding and Contracting Logarithmic Expressions
- Change Logarithmic Bases
- Solve Exponential Equations
- Solve Basic Logarithmic Equations
Exponentials and Logarithms – Advanced
- Inverse Properties of Exponential and Logarithmic Functions
- Change Logarithmic Bases
- Solve Exponential Equations
- Solve Logarithmic Equations
- Solve More Involved Exponential and Logarithmic Equations
Factoring Difference of Squares – Basics
- Factor the Difference of Squares, Leading Coefficient = 1
- Factor the Difference of Squares, Constant Term is First
- Factor the Difference of Squares, Leading Coefficient ≠ 1
- Factor the Difference of Squares when there are Two Variables
Factoring Difference of Squares – Intermediate
- GCF
- Fractional Coefficients
- Grouping
- Higher Order Exponents
Factoring Negative and Fractional Exponents
- Determine the Greatest Common Factor
- Factoring the Sum of Terms with Negative or Fractional Exponents
- Factoring with Binomials Raised to Negative or Fractional Exponents
- Use Factoring to Simplify Complex Fractions
Factoring Special Forms – Advanced
- Factor the Difference of Squares with Binomials
- Factor the Difference of Squares with Fractional Exponents
- Factor the Sum and Difference of Cubes
- Factor Perfect Square Trinomials
- Factor Special Forms with Grouping
Factoring Trinomials – Advanced
- Factor Quadratic Type Expressions, AC Method, Leading Coefficient = 1
- Factor Quadratic Type Expressions, AC Method, Leading Coefficient ≠ 1
- Factor Quadratic Type Expressions using Trial and Error
- Factor Quadratic Type Expressions with a Greatest Common Factor
Factoring Trinomials – Basics (with a=1)
- Identify polynomial, monomial, binomial, trinomial, and the degree of the polynomial
- Find and factor out the GCF from the terms of a polynomial
- Factor trinomials of degree 2 of the form x^2+bx+c (where a=1)
- Factor trinomials completely
Factoring Trinomials – Intermediate
- Factor Trinomials using AC Method, Leading Coefficient = 1
- Factor Trinomials using AC Method, Leading Coefficient ≠ 1
- Factor Trinomials using Trial and Error
- Factor Trinomials that have a Greatest Common Factor (GCF)
Finance Formula Prep
- Solve for an indicated value in the formula A = P(1 + rt)
- Solve for an indicated value in the formula A = P(1 + 4/m)^(mt)
- Solve for an indicated value in the formula A = Pe^(rt)
Finding Equations of Lines
- Find the Equation of a Line Given Any Point and the Slope
- Find the Equation of a Line Given Two Points
- Find the Equation of a Line Given a Point and a Line Parallel or Perpendicular to the Line
Finding Limits
- Finding Limits using Limit Tables
- Finding Limits Graphically
- Limits involving Infinity
- Finding Limits Analytically
Finding the Area Under a Curve and Between Curves
- Use Areas of Rectangles to Approximate the Area Under a Curve.
- Use a Riemann Sum to Approximate the Area Under a Curve
- Use a Definite Integral to Find the Exact Area Under a Curve
- Definite Integrals
- Find the Area Between Two Curves – One Region
- Find the Area Between Two Curves – Two or More Separate Regions
Fractions, Decimals, and Percentages
- Convert between Fractions and Decimals
- Conversion between Decimals or Fractions and Percentages
- Percent Equations
- Estimating Percentages
- Calculating Tax
- Percent Applications
Functions – Basics
- Definition of a Function
- Find Values of a Function
- Functions Evaluated at a Constant
- Find Difference Quotients
Functions – Intermediate
- Definition of a Function
- Find Values of a Function
- Functions Evaluated at a Constant
- Find Difference Quotients
- Difference Quotients for Rational and Radical Functions
Generalized Power Rule for Derivatives
- Composition of Functions
- Chain Rule and Generalized Power Rule
- Product and Quotient Rules combined with the Generalized Power
Graphing Linear Equations
- Plotting Ordered Pairs on a Rectangular Coordinate System
- Graphing Linear Equations by Using Table
- Graphing Linear Equations Using the x-and-y Intercepts
- Graphing Linear Equations Using the y-intercept and the Slope
- Graphing Horizontal and Vertical Lines
Graphing Linear Inequalities in Two Variables
- Graphing Lines
- Graphing Linear Inequalities using Test Points
- Graphing Linear Inequalities by Solving the Inequality
- Graphing a System of Linear Inequalities
Graphing Polynomial Functions using Derivatives
- Critical Numbers
- Increasing and Decreasing Graphs of Functions
- First-Derivative Test and Relative Extreme Values
- Graphing using the First Derivative
- Concavity and the Second-Derivative Test
- Inflection Points
- Graphing using Derivatives
Graphing Quadratic Functions – Basics
- Graph of Quadratic Functions y = ax^2 + bx + c
- Applications of Quadratic Functions
Graphing Quadratic Functions – Intermediate
- Graph of y = x^2 with Translations
- Graph of y = ax^2
- Graph of Quadratic Functions y = a(x – h)^2 + k
- Graph of Quadratic Functions y = ax^2 + bx + c
- Applications of Quadratic Functions
Graphing Rational Functions
- Domain of a Rational Function
- Horizontal and Slant Asymptotes
- Intercepts and Sign Graph
- Characteristics of a Rational Function
- Graph a Rational Function
Graphing Trig Functions Using Transformations (Parts A and B)
- Transformations of the Graphs of Sine and Cosine
- Graphing the Transformations of Sine and Cosine
- Transformations of Tangent and Cotangent Graphs
- Graphs of Secant and Cosecant
- Writing a Trig Equation Given a Graph
Graphing Using Transformations
- Graphing Basic Functions
- Graphing using Reflections
- Graphing using Stretching or Shrinking
- Graphing using Translations
- Graphing using Multiple Transformations
- Determine the Function from the Transformation
- Characteristics of Transformations of Functions
Graphs of Exponential and Logarithmic Functions
- Graph a Basic Exponential Function
- Translations of Graphs of Exponential Functions
- Graph a Basic Logarithmic Function
- Translations of Graphs of Logarithmic Functions
Hyperbolas
- Equations and Graphs of Hyperbolas
- Convert from General Form to Standard Form
- Graph Hyperbolas
- Determine the Equation of a Hyperbola
- Applications of Hyperbolas
Implicit Differentiation and Related Rates
- Implicit Differentiation
- Applications of Implicit Differentiation
- Related Rates
Integration by Parts
- Integrating using Substitution where du=dx
- Find an Integral using Integration by Parts
- Find a Definite Integral using Integration by Parts
Integration by Substitution – Business Calculus
- Find Differentials
- Integrate using Substitution with the Power Rule
- Integrate using Substitution – Exponential and Logarithmic Functions
- Find Definite Integrals using Substitution
Integration Using Exponential and Logarithmic Functions
- Integrating Exponential Functions
- Integration of 1/x
Integration Using Tables
- Use an Integral Table to Evaluate Integrals
- Use an Integral Table and Substitution to Evaluate Integrals
Inverse Functions
- Determine if a Function is One-to-One
- Prove that two Functions are Inverse Functions
- Find the Inverse of a Function
- Graph the Inverse of a Function
Inverse Trigonometric Functions
- Graphs of the Inverse Trig Functions
- Domain and Range of the Inverse Trigonometric Functions
- Difference Between Solving Equations when Given an Inverse Trig Function versus when Given a Trig Function
- Solving Inverse Trig Equations that have a Variable Argument
Least-Squares Regression Line and Residual Plot
- Find the least-squares regression line
- Interpret the Slope and the y-intercept of the Least-Squares Regression Line
- Construct a Residual Plot
Linear and Compound Inequalities
- Solving Linear Inequalities with No Solution and All Real Numbers
- Solving Compound Inequalities with “and”
- Solving Compound Inequalities with “or”
- Solving Compound Inequalities with All Real Numbers and No Solution
Linear Inequalities
- Writing Interval and Set-builder Notation
- Solving Linear Inequalities with Variables on One Side
- Solving Linear Inequalities with Variables on Both Sides
- Solving Linear Inequalities by Using the Distributive Property
Linear Models
- Average Rate of Change and Linear Functions
- Find a Linear Model given Two Pairs of Data
- Economic Applications
- Domain, Slope and y-intercept
Mean, Standard Deviation, and Variance
- Determine the Arithmetic Mean of a Variable from Raw Data
- Determine the Standard Deviation of a Variable from Raw Data
- Determine the Variance of a Variable from Raw Data
- Determine the Mean, Standard Deviation, and Variance of a Variable Using the Calculator
Median, Quartiles, and Outliers
- Determine the Median of a Variable from Raw Data
- Determine and Interpret Quartiles
- Determine and Interpret the Interquartile Range
- Check a Set of Data for Outliers
Mixed Numbers Conversion and Operations
- Changing from Mixed Numbers to Improper Fractions & Vice Versa
- Multiplying and Dividing Mixed Numbers
- Adding and Subtracting Mixed Numbers
- Using a Scientific Calculator to do Operations on Mixed Numbers and Fractions
Multiplying and Dividing Fractions – Basics
- Find the Factors of a Number
- Reduce a Fraction to Lowest Terms
- Multiplying Fractions
- Dividing Fractions
Multiplying and Dividing Fractions – Intermediate
- Find the Factors of a Number
- Reduce a Fraction to Lowest Terms
- Simplify an Improper Fraction
- Multiplying Fractions and Mixed Numbers
- Dividing Fractions and Mixed Numbers
- Using a Scientific Calculator to Work with Fractions
Multiplying and Dividing Rational Expressions
- Simplifying Rational Expressions
- Multiplying Rational Expressions
- Dividing Rational Expressions
Multiplying Polynomials – Basics
- Types of Polynomials
- Multiplying Two Monomials
- Multiplying Any Polynomial by a Monomial
- Multiply Two Binomials
- Multiply the Sum and Difference of the Same Two Terms
- Squaring a Binomial
Multiplying Polynomials – Intermediate
- Types of Polynomials
- Multiplying Two Monomials
- Multiplying Any Polynomial by a Monomial
- Multiply Two Binomials
- Multiply the Sum and Difference of the Same Two Terms
- Squaring a Binomial
- Multiply Any Two Polynomials
- Multiply More than Two Polynomials
Negative Numbers
- Adding Integers
- Subtracting Integers
- Multiplying/Dividing Integers
Normal Distribution
- Finding Probabilities, Percents, or Proportions Using Normalcdf
- Finding the Value of a Normal Random Variable Using InvNorm
- Finding Probabilities, Percents, or Proportions Using Normalcdf without Standardizing
- Finding the Value of a Normal Random Variable Using InvNorm without Standardizing
Operations on Whole Numbers
- Adding Whole Numbers
- Subtracting Whole Numbers
- Multiplying Whole Numbers
- Dividing Whole Numbers
- Square Roots of Whole Numbers
- Applications
Optimizing Functions of Several Variables
- Review of Relative Extrema of a Function of One Variable
- Partial Derivatives as Slopes of Surfaces
- Find Critical Points
- Find Relative Extrema
Optimizing Lot Size and Harvest Size
- Minimizing Inventory Costs for a Business that Orders Merchandise
- Minimizing Inventory Costs for a Business that Manufactures Products
- Maximum Sustainable Yield
Order of Operations
- Simplify Expressions using the Order of Operations
- Simplifying Expressions involving Exponents and Roots
- Simplifying Expressions involving Parenthesis
- Simplifying Expressions involving Quotients
- Simplifying Expressions involving Absolute Value
Parabolas
- Equations and Graphs of Parabolas
- Convert from General Form to Standard Form
- Graph Parabolas
- Determine the Equation of a Parabola
- Applications of Parabolas
Partial Derivatives
- Find Partial Derivatives of a Function
- Find Partial Derivatives of a Function of Three or More Variables
- Partial Derivatives at a Point
- Higher Order Partial Derivatives
Percent Applications
- Percent Equation
- Percent Proportion
- Percent Applications
- Calculating Tax and Discounts
- Percent Increase or Decrease
Performing Hypothesis Test for One Population Mean and Standard Deviation
- Testing Hypotheses about a Population Mean
- Testing Hypotheses about a Population Standard Deviation
Performing Hypothesis Test for One Population Proportion
- Testing Hypotheses about a Population Proportion with a Large Sample Size
- Testing Hypotheses about a Population Proportion with a Small Sample Size
Performing Hypothesis Test for Two Populations
- Determining the Appropriate Formula and Calculator Function
- Constructing the Hypotheses
Perimeters and Areas
- Perimeter and Area of Rectangles
- Perimeter and Area of Triangles
- Perimeter and Area of Circles
- Perimeter and Area of Composite Shapes
- Area of Inscribed or Circumscribed Shapes
Piecewise-Defined Functions
- Values of a Piecewise-Defined Function
- Graphing Piecewise-Defined Functions
- Absolute Value Functions
Power Rule for Integrals
- Antiderivative of Powers of x
- Antiderivative of Constant Multiples, Sums and Differences
- Antiderivative of Products and Quotients
Proportions
- Ratios and Rates
- Unit Rates
- Proportions
- Solve Proportion Applications
Radicals
- Taking nth Roots with Numbers
- Taking nth Roots with Variables
- Adding and Subtracting Radicals
- Rationalizing Monomial Denominators
- Rationalizing Binomial Denominators
Rational Exponents and Finding Roots
- Evaluating Fractional Exponents in the form a^(1/n)
- Evaluating Rational Exponents as Powers of Roots
- Evaluating Negative Fractional Exponents in the form a^(-m/n)
- Using the Rules of Exponents to Simplify Expressions
- Converting from Radical Notation to Fractional Exponents
Rounding and Estimation
- Rounding Whole Numbers
- Rounding Decimal Numbers
- Rounding Fractions and Mixed Numbers
- Estimation
Sampling Distributions
- Describe the Sampling Distribution
- Calculating Probabilities for Sample Mean
- Calculating Probabilities for Sample Proportion
Scatter Plots and Correlation
- Draw and interpret scatter diagrams
- Compute and Interpret the Linear Correlation Coefficient
- Compute and Interpret the Coefficient of Determination
Series
- Sigma Notation and General Series
- Sums of Powers of Consecutive Integers
- Arithmetic Series
- Geometric Series
Sets and Venn Diagrams – Basics
- Sets, Elements, and Subsets
- Intersection of Sets
- Union of Sets
- Complement of Sets
Sets and Venn Diagrams – Intermediate
- Sets, Elements, and Subsets
- Intersection of Sets
- Union of Sets
- Complement of Sets
- Other Set Operations
Simplifying Advanced Trig Expressions
- Sum and Difference Identities
- Double Angle Identities
- Half Angle Identities and Power Reducing Identities
Simplifying Expressions
- Simplifying Expressions by Adding/Subtracting Like Terms
- Simplifying Expressions using Distributive Property
- Adding/Subtracting Polynomials
Simplifying Fundamental Trig Expressions
- Using Fundamental Identities
- Using Algebra to Simplify Trig Expressions
- Even and Odd Trigonometric Functions
- Cofunction Identities
Solving Finance Problems – Basics
- Simple Interest Formula
- General Formula for Compound Interest
- Formula for Interest Compounded Continuously
- Solve for Time in an Interest Problem
Solving Finance Problems – College Algebra
- Simple Interest Formula
- General Formula for Compound Interest
- Formula for Interest Compounded Continuously
- Solve for Time in an Interest Problem
- Doubling Time
Solving Finance Problems – Intermediate
- Determine which Finance Formula to use when Solving Finance Problems
- Solve Finance Problems
Solving Formulas
- Solve Linear Equations in Two Variables for y
- Solve a Linear Type Formula for a Specified Variable
- Solve a Rational Type Formula for a Specified Variable
Solving Linear Equations with Fractions
- Solving Linear Equations Involving Fractions
- Solving Linear Equations with Answers as “No Solution” or “All real numbers”
Solving Nonlinear Inequalities
- Interval Notation and Set Builder Notation
- Use the Graph of a Function to Solve an Inequality
- Quadratic Inequalities
- Polynomial Inequalities
- Rational Inequalities
Solving Quadratic Equations
- Solving by taking square roots
- Solve by factoring
- Solve by completing the square
- Solve by using the quadratic formula
- Determine the best method to solve a quadratic equation
- Practice solving by any method
Solving Quadratic Equations by Factoring – Basics
- Solve Quadratic Equations Using Zero Product Property
- Solve Quadratic Equations Using FOIL Factoring
- Solve Quadratic Equations by Factoring Difference of Squares
- Solve Quadratic Equations with a Greatest Common Factor (GCF)
Solving Quadratic Equations by Factoring – Intermediate
- Solve Quadratic Equations having Two Terms using Factoring
- Solve Quadratic Equations using FOIL Factoring
- Solve Quadratic Equations with a Greatest Common Factor (GCF)
Solving Quadratic Equations with Quadratic Formula – Basics
- Introduction to the Quadratic Formula
- Use the Quadratic Formula to get Exact Answers
- Use the Quadratic Formula to get Approximate Solutions
- Determine if the Quadratic Formula has No Real Solutions
- Decide Which Approach to Use with the Quadratic Formula
Solving Quadratic Equations using the Quadratic Formula – Intermediate
- Use the Quadratic Formula to get Rational Solutions
- Use the Quadratic Formula to get Irrational Solutions
- Use the Quadratic Formula to get Complex Solutions
- Determine the Type of Solutions in a Quadratic Equation
Solving Radical Equations – Basics
- Solving Radical Equations with Square Root
- Radical Equations with No Solution
- Solving Radical Equations with Higher Roots
Solving Radical Equations – Intermediate
- Solving Radical Equations with Square Root
- Radical Equations with No Solution
- Solving Radical Equations with Higher Roots
- Radical Equations Having Two Solutions or Extraneous Solution
- Radical Equations Containing Two Radicals
Solving Rational Equations
- Rational Equations with One Solution
- Rational Equations with Two Solutions
- Rational Equations with Extraneous Solution
Solving Simple Linear Equations
- Solving Linear Equations Using Properties of Equality
- Solving Multi-Step Linear Equations
- Solving Linear Equations That Can Be Simplified by Combining Like Terms
Solving Systems of Linear Equations
- Decide Whether a Given Ordered Pair is a Solution of a System
- Solve Systems of Equations by Graphing
- Solve Systems of Equations by Substitution
- Solve Systems of Equations by Elimination
Solving Systems of Linear and Nonlinear Equations
- Solve Systems of Linear Equations by Substitution
- Solve Systems of Linear Equations by Elimination
- Solve Systems of Nonlinear Equations by Elimination
- Solve Systems of Nonlinear Equations by Substitution
Solving Trig Equations
- Introduction to Solving a Basic Trig Equation
- Using Algebra to Solve Trig Equations
- Using Trig Identities to Solve Equations
Solving Trig Equations Multiple Angles
- Graphic Introduction to Solving a Multiple Angle Trig Equation
- Solving a Trig Equation for All Solutions
- Solving a Trig Equation on a Given Interval
Special Products
- Multiplying the Sum and Difference of Binomials
- Factoring the Difference of Two Squares
- Squaring a Binomial
- Factoring Perfect Square Trinomials
- Expanding a Binomial Cubed
- Factoring the Sum or Difference of Two Cubes
Special Right Triangles
- Determining the Side Lengths of 45°-45°-90° Triangles
- Determining the Side Lengths of 30°-60°-90° Triangles
Square Roots – Basics
- What is a Square Root?
- Using a Calculator to find a Square Root
Surface Area and Volumes
- Surface Area of Polyhedra
- Surface Area of Cylinders, Cones, and Spheres
- Volumes of Solids
- Constructing an open-top box
The Five-Number Summary and Boxplots
- Compute the Five-Number Summary
- Draw and Interpret Boxplots
The Language of Hypothesis Testing
- Identify the Null and Alternative Hypotheses
- State Conclusions to Hypothesis Tests
Trig Function Definitions
- SOH CAH TOA
- Trig Function Definitions for Angles in Standard Position
- Find Trig Function Values given an Equation of an Angle’s Terminal Side
Trig Function Values on the Unit Circle
- Solving Special Right Triangles
- Special Angles on the Unit Circle
- Using the Unit Circle to Calculate Trig Function Values
- Using the Unit Circle with Angles Larger than 2 pi
Trigonometric Ratios
- Using the Sine, Cosine, and Tangent Ratios to Determine Side Lengths in Right Triangles
- Using the Sine, Cosine, and Tangent Ratios to Determine Angle Measures in Right Triangles
Units of Measure – Metric
- Scientific Notation
- Metric Prefixes
- Length Measurements
- Mass Measurements
- Volume Measurements
- Converting Compound Units
- Converting between Metric and U.S. Customary Units of Measure
- Applications of Units of Measure
Units of Measure – U.S. Customary
- Time Measurements
- Length Measurements
- Volume Measurements
- Weight Measurements
- Converting Units of Area and Volume
- Converting Compound Units
Vertex Form of a Quadratic Function
- Identifying the Vertex from the Vertex Form of a Quadratic Function
- Writing a Quadratic Function with Leading Coefficient 1 in Vertex Form by Completing the Square
- Writing a Quadratic Function with Leading Coefficient not 1 in Vertex Form by Completing the Square
Working in Different Number Base Systems
- Egyptian Numeration System
- Babylonian Numeration System
- Mayan Numeration System
- The Roman Numeration System
- Hindu-Arabic Numeration System
- Other Base Number Systems