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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