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ALGEBRA II HONORS ACADEMIC LIBRARY

First Semester

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Algebra II Honors Online

This rigorous honors course focuses on the four critical areas for Algebra II: functions, polynomials, periodic phenomena, and collecting and analyzing data. The course begins with a review of linear and quadratic functions, to solidify a foundation for learning these new functions.

Like all math courses at NFC Academy students are provided additional math instructional videos for their use as needed for more practice and instruction. Just like Edgenuity online homeschool courses, these videos are ready when the student is 24/7 on our website.

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All honor level courses from Edgenuity are not written from a biblical worldview and you may find some material that is different from that view we hold—from our web page on a biblical worldview “we look to the Bible for our beliefs and how we should operate. We believe students at this level can use wisdom in such courses, but if you are uncomfortable, please select from our Ignitia course offerings.

Getting Started In Edgenuity

THE STUDENT EXPERIENCE
MATH COURSE

Algebra II Honors Online First Semester

Unit 1: Equations and Inequalities
  1. Real Numbers Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction What are the properties of real numbers?
      1. ​Classifying numbers
      2. Commutative law of addition
      3. Associative law of multiplication
      4. Identity property of 1
      5. Identity property of 0
      6. Distributive property over addition
    3. Assignment – Practice classifying real numbers.
    4. Quiz Answers
  2. Solving Equations Guided Notes
    1. Warm-Up Get ready for the lesson.
    2. Instruction – How do you solve multistep equations and use them to solve problems?
      1. Intro to equations with variables on both sides​
      2. Two-step equations with decimals and fractions
      3. Two-step equations intuition​
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving multistep equations.
    5. Quiz Answers
  3. Literal Equations Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How do you isolate a variable in an equation containing more than one variable?
      1. ​Solving an equation for a variable
      2. Manipulating formulas: area
      3. Solve equations with more than one variable
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving literal equations.
    5. Quiz Answers
  4. Inequalities Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How do you obtain the solution set for a linear inequality in one variable?
      1. ​Inequalities using addition and subtraction
      2. Solving One-Step Linear Inequalities in One Variable
    3. Assignment – Practice identifying errors in solutions.
    4. Quiz Answers
  5. Word Problems Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction How can problem-solving strategies be used to simplify complicated word problems?
      1. ​Algebra Word Problems – MathHelp.com
      2. Linear equation word problem: saline
      3. Algebra – Word Problems – Mixture Problems
    3. Assignment – Practice solving a mixture problem.
    4. Quiz Answers
  6. Performance Task: Going on a Round Trip
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – Why can’t rates be added the same way as times or distances?
      1. ​Multiple rates word problem
      2. Finding average speed or rate
    3. Performance Task Going Round-Trip with the World’s Fastest Land Animal
  7. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 2: Introduction to Functions
  1. Relations and Functions Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – How can you describe a relationship between x and y?
      1. ​Testing if a relationship is a function
      2. ​Checking if an equation represents a function
    3. Assignment – Find the domain and range of relations.
    4. Quiz Answers
  2. Function Operations Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How are operations on functions like operations on real numbers?
      1. ​Operations on Functions
      2. Function Operations
    3. Assignment – Practice adding and subtracting functions.
    4. Quiz Answers
  3. Composition of Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can you write a new function that uses the output of one function as the input of another?
      1. Intro to composing functions​
      2. Evaluating composite functions
      3. Finding composite functions
    3. Assignment – Evaluate a composite function from a table.
    4. Quiz Answers
  4. Symmetry Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can you tell if a relation has symmetry?
      1. ​Function symmetry introduction
      2. Even and odd functions: Graphs
    3. Assignment – Recognize symmetry in functions.
    4. Quiz Answers
  5. Function Inverses Guided Notes
    1. Warm-Up -Get ready for the lesson.
    2. Instruction – What does it look like when one relation “undoes” another?
      1. Inverse of a function​
    3. Assignment – Practice function inverses.
    4. Quiz Answers
  6. Rate of Change Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can you measure the way one variable changes in relation to another?
      1. ​Introduction to average rate of change
      2. Worked example: average rate of change from graph
    3. Assignment – Solve and write about rate of change problems involving water slides.
    4. Quiz Answers
  7. Linear Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How do you represent linear relationships?
      1. ​Graphing a linear equation: y=2x+7
      2. Intro to point-slope form
      3. Intro to slope-intercept form
    3. Summary – Review and connect what you learned.
    4. Assignment Identify linear relationships.
    5. Quiz Answers
  8. Scatterplots Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction How can you describe (x, y) data that are approximately linear?
      1. ​Example of direction in scatterplots
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying the correct scatterplot.
    5. Quiz Answers
  9. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 3: Systems of Linear Equations
  1. Solving Linear Systems Graphically Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can graphing be used to solve systems of linear equations and inequalities?
      1. ​​Solving Systems by Graphing – MathHelp.com 
    3. Summary – Review and connect what you learned.
    4. Assignment – Find solutions to a system of equations.
    5. Assignment – Practice solving systems of linear equations.
    6. Quiz Answers
  2. Solving Linear Systems by Elimination Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can the properties of equality help you solve a system of equations?
      1. ​Solving Two Equations by Elimination
      2. Solving systems of equations by elimination (old)
    3. Summary – Review and connect what you learned.
    4. Assignment –  Solve systems by using elimination.
    5. Quiz Answers
  3. Solving One-Variable Equations with Systems Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can equations in one variable be solved using a graph?
      1. ​Linear and quadratic systems — Basic example
    3. Summary – Review and connect what you learned.
    4. Assignment – Solve a linear-quadratic equation.
    5. Quiz Answers
  4. Linear Programming Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How can you find the maximum or minimum values of a function, given constraints?
      1. Modeling with systems of inequalities​
      2. Writing systems of inequalities word problem
    3. Assignment – Choose appropriate constraints and write the objective function.
    4. Quiz Answers
  5. Performance Task: Annual Salaries and Gender
    1. ​ Warm-Up – Get ready for the lesson.
    2. Instruction – Can knowing one trend help you predict another?
      1. ​Describing trends in scatter plots
    3. Performance Task Annual Salaries and Gender
  6. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers 
Unit 4: Quadratics and Complex Numbers: Part One
  1. Solving Quadratic Equations by Factoring Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can the unique multiplication property of zero be used to solve a quadratic equation?
      1. ​Graphing quadratics: standard form
      2. Quadratics by factoring (intro)
    3. Summary – Review and connect what you learned.
    4. Assignment – Choose the solutions for a quadratic function.
    5. ​Quiz Answers
  2. Solving Quadratic Equations: Square Root Property Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – When can the square root be used to solve a quadratic equation?
      1. ​Solve quadratic equations by square root property
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using the square root property to solve an equation.
    5. Quiz Answers – 
  3. Quadratic Inequalities Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How are the solutions of a quadratic inequality related to those of an equation?
      1. ​Quadratic inequalities
      2. Quadratic inequalities (example 2)
      3. Quadratic inequalities: graphical approach
    3. Summary – Review and connect what you learned.
    4. Assignment – Solving quadratic inequalities in one variable.
    5. Quiz Answers
  4. Complex Numbers Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Are all numbers “real” numbers?
      1. ​​Intro to the imaginary numbers
      2. Algebra 2 – Complex Numbers 
      3. Algebra 2 – Complex Numbers 
      4. Algebra 2 – Complex Numbers
    3. Assignment – Simplify powers of i.
    4. Quiz Answers
  5. Operations with Complex Numbers Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is operating with complex numbers similar to or different from operating with real numbers?
      1. ​Intro to complex numbers
      2. Adding complex numbers
      3. Subtracting complex numbers
      4. Multiplying complex numbers
    3. Assignment – Practice using properties of complex numbers.
    4. Quiz Answers
  6. Completing the Square (Continued) Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Can a quadratic function in standard form, with a≠1, be written in vertex form?
      1. ​Worked example: Rewriting expressions by completing the square
      2. Worked example: completing the square (leading coefficient ≠ 1)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing a quadratic function with a ≠1 in vertex form.
    5. Quiz Answers
  7. Completing The Square Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you combine factoring and the square root property of equality to solve a quadratic equation?
      1. ​Solving quadratics by factoring
    3. Assignment – Identify perfect-square trinomials.
    4. Quiz Answers
  8. Solving Quadratic Equations: Completing the Square (Continued) Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How does the process of completing the square change when a ≠ 1 in the quadratic equation?
      1. ​Worked example: completing the square (leading coefficient ≠ 1)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving quadratic equations with a ≠ 1.
    5. Quiz Answers
  9. Unit Test
    1. Unit Test Review Answers
    2. ​Unit Test Answers
Unit 5: Quadratics and Complex Numbers: Part Two
  1. Introduction to the Quadratic Formula Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What is the quadratic formula?
      1. ​The Quadratic Formula
      2. Worked example: quadratic formula (example 2)
      3. Worked example: quadratic formula (negative coefficients)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice finding the solutions of quadratic equations.
    5. Quiz Answers
  2. The Quadratic Formula Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can a formula be used to solve a quadratic equation or to predict the nature of the solutions?
      1. ​Using the quadratic formula: number of solutions
    3. Assignment – Substitute values in the quadratic formula.
    4. Quiz Answers
  3. Modeling with Quadratic Equations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How are quadratic equations used to model and solve problems?
      1. Interpret quadratic models: Factored form​
      2. Interpret quadratic models: Vertex form​
    3. Summary – Review and connect what you learned.
    4. Assignment – Write a quadratic equation given a verbal description.
    5. Assignment – Profits and quadratic relationships.
    6. ​Quiz Answers
  4. Transformations of Quadratic Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Can graphing a quadratic function be made easier by changing its form?
      1. ​Quadratic word problems (vertex form)
    3. Assignment – Practice what you learned about quadratic equations.
    4. Quiz Answers
  5. Square Root Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What are some properties and uses of the square root function?
      1. Graphs of square-root functions​
      2. Square-root functions & their graphs
    3. Assignment – Find the inverse of a quadratic.
    4. Quiz Answers
  6. Mixed Degree Systems Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you solve systems of equations with mixed degrees?
      1. ​Mixed Degree Systems
      2. Solve systems of conics algebraically
    3. Assignment – Understand solutions to mixed-degree systems.
    4. Quiz Answers
  7. Conic Sections: Parabolas Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you write the standard form of a conic section parabola?
      1. Equation of a parabola from focus & directrix​
      2. Find the Equation of a Parabola from a Graph
    3. Summary – Review and connect what you learned.
    4. Assignment – Write the equation of the parabola from a graph.
    5. Quiz Answers
  8. Unit Test
    1. Unit Test Review Answers
    2. ​Unit Test Answers
Unit 6: Polynomials: Part One
  1. Laws of Exponents Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you simplify numeric and algebraic expressions that contain exponents?
      1. ​Exponent properties with products
      2. Exponent properties with parentheses
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using the product of powers property.
    5. Quiz Answers
  2. Addition and Subtraction of Polynomials Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you add and subtract polynomials?
      1. ​Adding polynomials
      2. Subtracting polynomials
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice adding polynomials.
    5. Quiz Answers
  3. Multiplication of Polynomials Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you find the product of polynomials?
      1. ​Multiplying monomials by polynomials
      2. Multiplying Polynomials
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice multiplying polynomials.
    5. Assignment – Solve area and volume problems by multiplying polynomials.
    6. Quiz Answers
  4. Sum and Difference of Two Cubes Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you factor the sum or difference of two cubes?
      1. ​Factoring the Sum and Difference of Perfect Cubes
      2. ​Factoring the Sum and Difference of Perfect Cubes
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying perfect cubes and finding cube roots.
    5. Quiz Answers
  5. Unit Test
    1. Unit Test Review Answers
    2. ​Unit Test Answers
Unit 7: Polynomials: Part Two
  1. Division of Polynomials Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you use long division to find quotients of polynomials?
      1. Intro to long division of polynomials​​
      2. ​Dividing polynomials: long division
    3. Assignment – Practice dividing polynomials.
    4. Quiz Answers
  2. The Binomial Theorem Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you quickly expand a binomial raised to a power?
      1. Intro to the Binomial Theorem​
      2. ​Pascal’s triangle and binomial expansion
    3. Assignment – Practice expanding binomials using Pascal’s triangle.
    4. Quiz Answers
  3. Synthetic Division and the Remainder Theorem Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you divide polynomials in a systematic way, and what conclusions can be drawn from that division?
      1. ​Intro to polynomial synthetic division
      2. Dividing polynomials: synthetic division
      3. Intro to the Polynomial Remainder Theorem
    3. Assignment – Practice interpreting synthetic division
    4. Quiz Answers
  4. The Rational Roots Theorem Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you identify possible rational roots of a polynomial function?
      1. ​Number of possible real roots of a polynomial
    3. Assignment – Practice identifying potential roots using the rational root theorem.
    4. Quiz Answers
  5. The Fundamental Theorem of Algebra Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you most efficiently use the properties and theorems associated with polynomials to find all the zeroes?
      1. ​The Fundamental theorem of Algebra
      2. Quadratics & the Fundamental Theorem of Algebra
    3. Assignment – Practice using the fundamental theorem of algebra.
    4. Quiz Answers
  6. Writing Polynomial Functions from Complex Roots Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you write polynomial equations from given roots?
      1. ​Zeros of polynomials & their graphs
      2. How to write the polynomial given complex roots
    3. Assignment – Write a polynomial function from its graph.
    4. Quiz Answers
  7. Quadratic in Form Polynomials Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you solve higher degree polynomial equations that are quadratic in form?
      1. ​Intermediate Algebra-Equations in Quadratic Form and Higher Order Equations
    3. Assignment – Practice writing as a quadratic.
    4. Quiz Answers
  8. Graphing Polynomial Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you graph a polynomial function from its given rule?
      1. ​Intro to end behavior of polynomials
      2. ​Graphs of polynomials
    3. Assignment – Explore the effect of the roots on the graph of a polynomial by building your own rollercoaster!
    4. Assignment – Identify the key features of a polynomial function.
    5. Quiz Answers
  9. Solving Polynomial Equations using Technology Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can using technology help you solve a polynomial equation?
      1. Solve a Polynomial Equation Using a Graphing Calculator (Approximate Solutions)​
      2. Pre-Calculus – How to solve a polynomial equation using a calculator
    3. Assignment – Practice using a system to solve a polynomial equation with rational roots.
    4. Quiz Answers
  10. Unit Test
    1. Unit Test Review Answers
    2. ​Unit Test Answers
Unit 8: Cumulative Exam
  1. Cumulative Exam Review Answers
  2. ​Cumulative Exam Answers