Algebra I Honors Academic Library 

Second Semester

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Algebra I Honors Online 

This is the second semester of Algebra I Honors. The most successful students will be self-motivated, well-organized and daily into their courses. As an honors course students will receive additional weight upon successful completion of the course for their GPA.

Take advantage of your 24/7 Academic Library for Algebra 1 Honors. We have you covered with extra video instruction for daily assignments that are available whenever you are ready. No waiting, just get help when you need it.

These 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.

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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 I Honors Online (2nd Semester)

Unit 8: ​Polynomial Expressions
  1. Introduction to Polynomials Guided Notes
    1. Warm-Up – Get Ready for the lesson
    2. Instruction – What is a polynomial?
      1. ​Polynomials intro
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying and classifying polynomials and their equivalent forms.
    5. Quiz Answers
  2. Adding and Subtracting Polynomials Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction –  How is adding and subtracting polynomials like adding and subtracting numbers?
      1. ​Adding polynomials: two variables (intro)
      2. Subtracting polynomials: two variables (intro)
    3. Summary -Review and connect what you learned.
    4. Assignment – Practice adding and subtracting polynomials
    5. Quiz Answers
  3. Multiplying Monomials and Binomials Guided Notes
    1. Warm Up – Get ready for the lesson.
    2. Instruction – What does the product of polynomials look like?
      1. ​Multiply monomials by polynomials: Area model
      2. Multiplying binomials intro
      3. Multiplying binomials
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice multiplying monomials and binomials.
    5. Quiz Answers
  4. Multiplying Polynomials and Simplifying Expressions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – Does the order of operations apply to algebraic expressions?
      1. ​Multiplying binomials by polynomials
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice multiplying polynomials.
    5. Quiz Answers
  5. Factoring Polynomials: GCF Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – What does it mean to be a factor of a polynomial?
      1. Greatest common factor explained
      2. ​Factoring Out The Greatest Common Factor
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring polynomials using the GCF.
    5. Quiz Answers
  6. Factoring Polynomials: Double Grouping Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – When can a polynomial with four terms be written as a product of binomials?
      1. ​Factoring two-variable quadratics: grouping
      2. Factor By Grouping
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring polynomials by double grouping.
    5. Quiz Answers
  7. Factoring Trinomials: a = 1 Guided Notes
    1. ​Warm-Up Get ready for the lesson.
    2. Instruction
      1. ​Factoring a Trinomial with Leading Coefficient of 1
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring trinomials with a leading coefficient of 1 and a positive constant term.
    5. Quiz Answers
  8. Factoring Trinomials: a = 1 (Continued) Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How does the structure of a trinomial with a leading coefficient of 1 and a negative constant help to factor it?
      1. Factoring quadratics as (x+a)(x+b)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring trinomials with a leading coefficient of 1 and a negative constant term.
    5. Quiz Answers
  9. Factoring Trinomials: a > 1 Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – How does the structure of a trinomial with a leading coefficient greater than 1 help to factor it?
      1. ​Factoring quadratics: leading coefficient ≠ 1
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring trinomials with a leading coefficient greater than 1.
    5. Quiz Answers
  10. Factoring Polynomials: Difference of Squares Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – What is a difference of squares, and how does it factor?
      1. ​Difference of squares intro
      2. Factoring difference of squares: leading coefficient ≠ 1
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring a difference of squares.
    5. Quiz Answers
  11. Factoring Polynomials: Sum and Difference of Cubes Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – What are the sum and difference of cubes, and how do they factor?
      1. ​Factoring sum of cubes
      2. Factoring difference of cubes
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring the sum or difference of cubes
    5. Quiz Answers
  12. Factoring Polynomials Completely Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – When is a polynomial factored completely?
      1. ​Factoring Trinomials Completely, Part 1 of 2
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice factoring a polynomial completely.
    5. Quiz Answers
  13. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 9: Polynomial Functions
  1. 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 sum of cubes
      2. Factoring difference of cubes
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying perfect cubes and finding cube roots.
    5. Quiz Answers
  2. 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
  3. 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
  4. 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. Assignment – Practice interpreting synthetic division
    4. Quiz Answers
  5. 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
  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. ​How to write the polynomial given complex roots
      2. Writing polynomial equations given the roots
    3. Assignment – Write a polynomial function from its graph
    4. Quiz Answers
  7. 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. How To Graph Polynomial Functions Using End Behavior, Multiplicity & Zeros
    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
  8. 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. ​Solving Polynomial Equations Using Technology
    3. Assignment – Practice using a system to solve a polynomial equation with rational roots.
    4. Quiz Answers
  9. Unit Test
    1. ​Unit Test Review Answers
    2. Unit Test Answers
Unit 10: Quadratic Functions
  1. Introduction to Quadratic Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What is a quadratic function?
      1. ​Introduction to Quadratic Functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying and evaluating quadratic functions
    5. Quiz Answers
  2. Quadratic Functions: Standard Form Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What do the coefficients of a quadratic function in standard form reveal about its graph?
      1. ​Finding the vertex of a parabola in standard form
      2. Graphing quadratics: standard form
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice with quadratic functions in standard form.
    5. Assignment – Read about Galileo and projectile motion.
    6. Quiz Answers
  3. Quadratic Functions: Factored Form Guided Notes
    1. ​ Warm-Up – Get ready for the lesson.
    2. Instruction – What does the factored form of a quadratic function tell you about the function’s graph?
      1. ​Interpret quadratic models: Factored form
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice determining key aspects of quadratic functions given in factored form.
    5. Quiz Answers
  4. Quadratic Functions: Vertex Form Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What does the vertex form of a quadratic function reveal about its relationship to y = x2?
      1. Vertex form introduction
      2. Graphing quadratics: vertex form
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice with quadratic functions in vertex form.
    5. Quiz Answers
  5. Completing the Square 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. Completing the square
      2. Worked example: Completing the square (intro)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice completing perfect square trinomials.
    5. 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
    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. Modeling with Quadratic Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What types of problems can be modeled with quadratic functions?
      1. Modeling with Quadratic Functions
      2. Modeling with Quadratic Functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing quadratic functions in vertex form.
    5. Quiz Answers
  8. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 11: Quadratic Equations
  1. Solving Quadratic Equations: Zero Product Property Guided Notes
    1. ​Warm-Up – Get ready for the lesson. 
    2. Instruction – How is the property of multiplying by zero used to solve a quadratic equation?
      1. ​Zero product property
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving quadratic equations.
    5. Quiz Answers
  2. Solving Quadratic Equations: Factoring Guided Notes
    1. ​Warm-Up – Get ready for the lesson
    2. Instruction – Why is it necessary to set a quadratic equal to zero when solving by factoring?
      1. ​Solving quadratics by factoring
      2. Solving quadratics by factoring: leading coefficient ≠ 1
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing and solving quadratic equations.
    5. Quiz Answers
  3. 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. Solving quadratics by taking square roots
      2. Solving quadratics by taking square roots examples
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using the square root property to solve an equation.
    5. Quiz Answers
  4. Solving Quadratic Equations: Completing the Square Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is a perfect square trinomial used to solve a quadratic equation?
      1. ​Completing the square
      2. Algebra – Completing the square
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice applying the process of completing the square.
    5. Quiz Answers
  5. 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. ​Solve Quadratic by Completing the Square (a not 1)
    3. Summary Review and connect what you learned.
    4. Assignment – Practice solving quadratic equations with a ≠ 1.
    5. Quiz Answers
  6. 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
    3. Summary – -Review and connect what you learned.
    4. Assignment – Practice finding the solutions of quadratic equations.
    5. Quiz Answers
  7. Solving Quadratic Equations: Quadratic Formula Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is the quadratic formula used to solve a quadratic equation?
      1. ​Worked example: quadratic formula (example 2)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using the quadratic formula.
    5. Assignment – Read about the history of the quadratic formula.
    6. Quiz Answers
  8. Modeling with Quadratic Equations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What types of problems can be modeled with quadratic equations?
      1. ​Modeling Projectiles with Quadratic Equations
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice modeling and solving problems with quadratic equations.
    5. Quiz Answers
  9. Solving Linear-Quadratic Systems Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is solving a quadratic-linear system different from solving a linear-linear system?
      1. ​Solving Linear-Quadratic Systems
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving a system of equations.
    5. Quiz Answers
  10. 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. ​Square-root functions & their graphs
      2. Graphs of square-root functions
    3. Assignment – Find the inverse of a quadratic. 
    4. Quiz Answers
  11. Unit Test
    1. ​Unit Test Review Answers 
    2. Unit Test Answers
Unit 12: ​Additional Functions
  1. Simplifying Rational Expressions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you simplify rational expressions containing multiple variables?
      1. ​Intro to rational expression simplification
    3. Assignment – Practice simplifying rational expressions with negative exponents.
    4. Quiz Answers
  2. Rational Equations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you solve an equation containing rational expressions?
      1. ​Equation with two rational expressions (old example 2)
    3. Assignment – Practice solving rational equations.
    4. Quiz Answers
  3. Graphing Rational Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How do you graph rational functions that have vertical and horizontal asymptotes?
      1. ​How to graph a rational function using 6 steps
      2. Graphing rational functions 1
    3. Assignment – Identify asymptotes.
    4. Quiz Answers
  4. Modeling with Rational Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How are rational functions used to model and solve problems?
      1. ​Modeling with Rational Functions
    3. Assignment – Write a rational function given a table.
    4. Quiz Answers
  5. Radical Equations and Extraneous Roots Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you solve an equation when the variable is under a radical symbol?
      1. ​Simplifying radical expressions (addition)
      2. Solving Radical Equations part 1 of 2
      3. ​Solving Radical Equations part 2 of 2
    3. Assignment – Solve radical equations.
    4. Quiz Answers
  6. Graphing Sine and Cosine Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Why do the graphs of the sine and cosine functions have wave shapes, and how can you change those waves?
      1. ​Graph of y=sin(x)
      2. Intersection points of y=sin(x) and y=cos(x)
    3. Assignment – Solve and write about problems involving periodic movements and wheels.
    4. Quiz Answers
  7. Changes in Period and Phase Shift of Sine and Cosine Functions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is a transformation of the graph related to the equation of a sine or cosine function?
      1. Features of sinusoidal functions
      2. Transforming sinusoidal graphs: vertical stretch & horizontal reflection
    3. Assignment – Practice identifying transformations from a graph.
    4. Quiz Answers
  8. Unit Test
    1. ​Unit Test Review Answers
    2. ​Unit Test Answers
UNIT 13: ​Data Analysis
  1. Describing Data Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction
      1. ​Representing data
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice identifying various methods of data collection and data displays.
    5. ​Quiz Answers
  2. Two-Way Tables Guided Notes
    1. ​Warm Up – Get ready for the lesson.
    2. Instruction – What is a two-way table?
      1. ​Two-way relative frequency tables
      2. Interpreting two-way tables
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice creating and analyzing two-way tables.
    5. Quiz Answers
  3. Relative Frequencies and Association Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is data in a two-way table analyzed to determine if there is an association between the variables?
      1. Two-way frequency tables and Venn diagrams
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice working with relative frequency tables.
    5. Quiz Answers
  4. Measures of Center Guided Notes
    1. ​Warm Up – Get ready for the lesson.
    2. Instruction – What can dot plots and histograms tell you about a data set?
      1. Frequency tables & dot plots
      2. Creating a histogram
      3. Statistics intro: Mean, median, & mode
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing dot plots, histograms, and measures of center.
    5. Quiz Answers
  5. Box Plots Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What does a box plot tell you about a data set?
      1. ​Constructing a box plot
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing data to create and interpret box plots.
    5. Quiz Answers
  6. Line of Best Fit Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is technology used to create a linear model?
      1. Estimating the line of best fit exercise
      2. Estimating with linear regression (linear models)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice describing trends in data.
    5. Quiz Answers
  7. Analyzing Residuals Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How do you know if a linear model is good?
      1. Interpreting residual graphs
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice computing and analyzing residuals.
    5. Quiz Answers
  8. Strength of Correlation Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you tell the strength of a relationship between two variables?
      1. Strength of Correlation
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing correlations.
    5. Quiz Answers
  9. Regression Models Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you determine an appropriate nonlinear model to use for a scenario?
      1. ​​Linear Regression Models using a Graphing calculator
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice modeling real-world scenarios using linear, quadratic, or exponential regressions.
    5. Assignment – Read about Galton’s work in regression analysis.
    6. Quiz Answers
  10. Performance Task: Super Survey Simulator
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Learn about trends in data.
    3. Performance Task – Show what you know about trends in data.
  11. Unit Test
    1. ​Unit Test Review Answers
    2. ​Unit Test Answers
UNIT 14: ​Statistics and Probability
  1. Standard Deviation Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is the spread of data measured?
      1. ​Standard Deviation – Explained and Visualized
      2. How To Calculate The Standard Deviation
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing data sets.
    5. Quiz Answers
  2. Properties of Probability Distributions Guided Notes
    1. ​Warm-Up –  Get ready for the lesson.
    2. Instruction – What are probability distributions and how are they used to solve problems?
      1. ​Introduction to Probability Distributions
    3. Assignment – Identify the probability distribution.
    4. Quiz Answers
  3. Introduction to Normal Distributions Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you describe normal distributions and use them to learn about data?
      1. StatQuest: The Normal Distribution, Clearly Explained!!!
      2. An Introduction to the Normal Distribution
    3. Assignment – Practice Interpreting Z-Scores
    4. Quiz Answers
  4. Applications with Standard Normal Distribution Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can a standard normal table be used to find any probabilities of any normally distributed data?
      1. Finding Probability Using A Normal Distribution, Part 1
      2. Finding Probability Using a Normal Distribution, Part 2
      3. Finding Probability Using a Normal Distribution, Part 3
      4. Finding Probability Using a Normal Distribution, Part 4
      5. Finding Probability Using a Normal Distribution, Part 5
    3. Assignment – Practice using the standard normal table.
    4. Quiz Answers
  5. Performance Task: Evaluating Claims
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How do you evaluate claims involving statistics?
    3. Summary – Review and connect what you learned.
    4. Preparing for Your Performance Task – Prepare to show what you know about evaluating claims.
    5. Performance Task – Show what you know about evaluating claims.
  6. Unit Test
    1. Unit Test Review Answers
      1. ​​Unit Test Answers
​Unit 15: Cumulative Exam
  1. Cumulative Exam Review Answers
    1. ​Cumulative Exam Answers