# Current list of eDLAs available

This page provides faculty with a list of Math eDLAs that are currently available to assign to their students. Many more topics will be added. We will update this list as they become available.

• 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. Students go into the MLC, register for our free, non-credit supervised tutoring course and get an orientation to the center. Their registration will be uploaded into Canvas within a day. They can complete the Canvas quiz anywhere they like.
• After they complete the Canvas quiz students will go into the MLC to get their verification form stamped.
• This student instruction sheet can be used to inform your students on how to get registered and complete their eDLAs.
• You can either type in the titles of the eDLAs that you are assigning on the verification form here, or the MLC will provide a blank copy for your students.

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 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

#### 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

• 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
• 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
• Multiplying and Dividing with Decimals

#### 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

#### 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

#### 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

#### 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 – 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 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

• 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

#### Fractions, Decimals and Percentages

• Convert between Fractions and Decimals
• Conversion between Decimals or Fractions and Percentages
• Percent Equations
• Estimating Percentages
• Calculating Tax
• Percent Applications

#### 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 Quadratic Functions – Basics

• Graph of Quadratic Functions y = ax^2 + bx + c

#### 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

#### 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 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

#### 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

#### 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

#### 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

• 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

• Subtracting Whole Numbers
• Multiplying Whole Numbers
• Dividing Whole Numbers
• Square Roots of Whole Numbers
• Applications

#### 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

#### 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

#### Proportions

• Ratios and Rates
• Unit Rates
• Proportions
• Solve Proportion Applications

• Taking nth Roots with Numbers
• Taking nth Roots with Variables
• 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

#### 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 Expressions

• Simplifying Expressions by Adding/Subtracting Like Terms
• Simplifying Expressions using Distributive Property

#### 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
• Polynomial Inequalities
• Rational Inequalities

• 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)

• Introduction to the Quadratic Formula
• 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

• 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

#### 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

#### 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

#### 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