# Current list of eDLAs available

Home » Academics » Divisions » Science, Engineering, Math » Mathematics » 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 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

• 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

## 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

• 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

## 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 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

• 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

## 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

• 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

## 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

• 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

## 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
• 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

## 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