Algebra I Honors Academic Library (2nd Semester)

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.

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THE STUDENT EXPERIENCE

MATH COURSE

ALGEBRA I HONORS ONLINE (2ND SEMESTER)

Unit 8: Polynomial Expressions

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
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
Multiplying Monomials and Binomials Guided Notes
1. Warm Up - Get ready for the lesson.
2. Instruction - What does the product of polynomials look like?
3. Summary - Review and connect what you learned.
4. Assignment - Practice multiplying monomials and binomials.
5. Quiz Answers
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
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
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
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
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
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
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
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
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
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 9: Polynomial Functions

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
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
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
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
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
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
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
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
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 10: Quadratic Functions

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
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
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
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
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
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
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
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 11: Quadratic Equations

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
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
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
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
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
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
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
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
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
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
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

Unit 12: Additional Functions

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
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
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
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
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?
3. Assignment - Solve radical equations.
4. Quiz Answers
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
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
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

UNIT 13: Data Analysis

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
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
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
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?
3. Summary - Review and connect what you learned.
4. Assignment - Practice analyzing dot plots, histograms, and measures of center.
5. Quiz Answers
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
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
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
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
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
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.
Unit Test
1. Unit Test Review Answers
2. Unit Test Answers

UNIT 14: Statistics and Probability

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
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
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
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?
3. Assignment - Practice using the standard normal table.
4. Quiz Answers
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.
Unit Test
1. Unit Test Review Answers
  1. Unit Test Answers

Unit 15: Cumulative Exam

Cumulative Exam Review Answers
1. Cumulative Exam Answers

Algebra I Honors Academic Library (2nd Semester)

getting starteD in edgEnuity

ALGEBRA I HONORS ONLINE (2ND SEMESTER)​

ALGEBRA I HONORS ONLINE (2ND SEMESTER)