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ALGEBRA I HONORS ACADEMIC LIBRARY 

First Semester

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Algebra I Honors Online

This full-year honors course focuses on five critical areas: relationships between quantities and reasoning with equations, linear and exponential relationships, descriptive statistics, expressions and equations, and quadratic functions and modeling. This course builds on the foundation set in middle grades by deepening students’ understanding of linear and exponential functions, and developing fluency in writing and solving one-variable equations and inequalities. Students will interpret, analyze, compare, and contrast functions that are represented numerically, tabularly, graphically, and algebraically. Quantitative reasoning is a common thread throughout the course

Click here to as students learn how they can use algebra to represent quantities and the relationships among those quantities in a variety of ways. Standards of mathematical practice and process are embedded throughout the course, as students make sense of problem situations, solve novel problems, reason abstractly, and think critically. edit.

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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.

Algebra I Honors Online (1st Semester)

Getting Started In Edgenuity

THE STUDENT EXPERIENCE
MATH COURSE
Unit 1: Representing Relationships
  1. Quantitative Reasoning Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What is quantitative reasoning?
      1. What is quantitative reasoning?
      2. Reasoning about unknown variables
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing quantitative relationships.
    5. Quiz Answers
  2. Dimensional Analysis Guided Notes
    1. Warm-up –  Get ready for the lesson.
    2. Instruction​
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice converting units and comparing quantities.
    5. Assignment – Read about the mathematics of BMX racing.
    6. Quiz Answers
  3. Writing and Solving Equations in Two Variables Guided Notes
    1. Warm Up – Get ready for the lesson.
    2. Instruction – What kind of word problem can be solved with a two-variable equation?
      1. ​Solving word problems with two variables. 
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using two-variable equations to solve problems.
    5. Quiz Answers
  4. Writing and Graphing Equations in Two Variables Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What can a coordinate graph tell you about a relationship between quantities in a real-world scenario?
      1. ​Graphing a linear equation: y=2x+7
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing and graphing equations with two variables.
    5. Quiz Answers
  5. Introduction to Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What is a function?
      1. ​What is a function?
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice recognizing functional relationships.
    5. Quiz Answers
  6. Function Notation Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – Why is function notation used?
      1. ​​Function Notation
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using function notation.
    5. Quiz Answers
  7. Evaluating Functions Guided Notes
    1. Warm Up – Get ready for the lesson.
    2. Instruction – How are the different representations of a function used to determine the relationship between the quantities?
      1. ​Evaluating functions from equation
      2. Evaluating functions from graph
      3. Evaluating expressions with function notation
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing functions.
    5. Assignment – Read a biography about Leonhard Euler.
    6. Quiz Answers
  8. 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
    3. Assignment – Evaluate a composite function from a table.
    4. Quiz Answers
  9. Analyzing Graphs Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What can you tell about a functional relationship from its graph?
      1. ​Increasing, decreasing, positive or negative intervals
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing graphs to determine key features.
    5. Quiz Answers
  10. Analyzing Tables Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What can you tell about a functional relationship given in a table?
      1. ​​Finding intercepts from a table
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using a table to determine key features of the graph of a continuous function.
    5. Quiz Answers
  11. Recognizing Patterns Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How are functions used to describe patterns?
      1. Sequences intro​
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing sequences.
    5. Quiz Answers
  12. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers​
​Unit 2: Function Inverses and Linear Functions
  1. Function Inverses Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction
      1. Intro to Inverse Functions
    4. What does it look like when one relation “undoes” another?
    5. Assignment – Practice function inverses.
    6. Quiz Answers
  2. Introduction to Linear Functions Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction – What type of relationship has a graph that is a line?
      1. Graphing a Linear Equation​
    4. Summary
    5. Review and connect what you learned.
    6. Assignment – ​Practice with rate of change and linear functions.
    7. Quiz Answers
  3. Slope of a Line Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction
      1. Slope of a Line
    4. What does the slope of a line mean, and how can you find it?
    5. Summary
    6. Review and connect what you learned.
    7. Assignment – Practice describing, finding, and interpreting slope.
    8. Assignment – Read a biography about René Descartes.
    9. Quiz Answers
  4. Slope-Intercept Form of a Line Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction
      1. ​Slope Intercept Form from a Table
      2. Slope Intercept Equation from a Graph
    4. Summary – Review and connect what you learned.
    5. Assignment – ​Practice applying the slope-intercept form of an equation.
    6. Quiz Answer
  5. Point-Slope Form of a Line Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction
      1. ​Slope Intercept Equation from Slope & Point
      2. Slope Intercept Equation from Slope & Point (old)
    4. Summary
    5. Assignment – Practice using point-slope form to write and graph linear functions.
    6. Quiz Answers
  6. Writing Linear Equations Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What information is needed to write the equation of a line?
      1. ​Finding y-Intercept Given Slope & Point
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing linear equations in different forms.
    5. Quiz Answers
  7. Special Linear Relationships Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How will constraints on the y-intercept or domain affect a linear relationship?
      1. ​Intro to Direct and Inverse Variation
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice representing special linear relationships.
    5. Assignment – Explore direct variation
    6. Quiz Answers
  8. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 3: Representing Relationships

  1. Solving Linear Equations: Variable on One Side Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is the intersection point of two linear functions related to solving a linear equation?
      1. ​One-step addition & subtraction equations
      2. One-step multiplication & division equations: fractions & decimals
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing and solving linear equations in one variable.
    5. Assignment – Read about the history of solving linear equations.
    6. Quiz Answers
  2. Solving Linear Equations: Variables on Both Sides Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Can an equation with the variable on both sides be written as a two-step equation?
      1. ​Intro to equations with variables on both sides
      2. Equations with variables on both sides: 20-7x=6x-6
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice writing and solving linear equations with variables on both sides.
    5. Quiz Answers
  3. Solving Linear Equations: Distributive Property Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Can an equation with the variable inside grouping symbols be written as a two-step equation?
      1. Equations with parentheses​
      2. Distributive property over addition
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving equations using the distributive property.
    5. Quiz Answers
  4. Solving Mixture Problems Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How can you use tables to help solve mixture problems?
      1. Linear equation word problem: saline​
      2. Linear equation word problem: sugary drinks
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving mixture problems.
    5. Assignment – Explore mixture problems.
    6. Quiz Answers
  5. Literal Equations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What does it mean to solve for a variable when the solution is not a number?
      1. ​Solving literal equations for a variable.
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving and using literal equations.
    5. Quiz Answers
  6. Solving Absolute Value Equations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How is solving an absolute value equation similar to and different from solving a linear equation?
      1. ​Intro to absolute value equations and graphs
      2. Absolute value equation with two solutions
    3. Summary
    4. Review and connect what you learned.
    5. Assignment – Practice creating and solving absolute value equations.
    6. Quiz Answers
  7. Solving One-Variable Inequalities Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – Can all one-variable inequalities be simplified to a two-step inequality?
      1. ​Multi-step inequalities
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving and graphing multiple-step, one-variable linear inequalities.
    5. ​Quiz Answers
  8. Introduction to Compound Inequalities Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – What is a compound inequality and what does its solution look like?
      1. ​​Intersection and union of sets
      2. Compound inequalities examples
    3. Summary – Review and connect what you learned.
    4. Assignment -Practice with compound inequalities.
    5. Quiz Answers
  9. Unit Test
    1. Unit Test Review Answers
    2. ​Unit Test Answers
Unit: 4 Systems of Equations and Inequalities
  1. Solving Systems of Linear Equations: Graphing Guided Notes
    1. Warm-Up
    2. Instruction – How can technology and estimation be useful for solving a system of linear equations graphically?
      1. ​Systems of equations with graphing
      2. Systems of equations with graphing
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing a system of linear equations with one solution.
    5. Quiz Answers
  2. Solving Systems of Linear Equations: Substitution Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – For a system of two equations, how can substituting for one variable help you solve for the other?
      1. ​​Systems of equations with substitution: 2y=x+7 & x=y-4
      2. Systems of equations with substitution: y=-5x+8 & 10x+2y=-2
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice finding solutions to systems of equations using substitution.
    5. Quiz Answers
  3. Solving Systems: Introduction to Linear Combinations Guided Notes
    1. ​Warm-Up – Get ready for the lesson.
    2. Instruction – How does adding the two equations in a system allow you to solve it?
      1. ​ Why can we subtract one equation from the other in a system of equations?
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice solving a system of linear equations using the linear combination method.
    5. Quiz Answers
  4. Solving Systems of Linear Equations: Linear Combinations Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – Why are equivalent equations important when solving a system using linear combinations?
      1. ​Equivalent systems of equations
      2. Solving systems of equations by elimination (old)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice using linear combinations to solve systems of equations.
    5. Quiz Answers
  5. Graphing Two-Variable Linear Inequalities Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What does the graph of a two-variable linear inequality look like?
      1. ​Graphing two-variable inequalities (old)
      2. Graphing two-variable inequalities
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice interpreting two-variable linear inequalities.
    5. Quiz Answers
  6. Solving Systems of Linear Inequalities Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What does it mean to be a solution of a system of linear inequalities?
      1. ​​Graphing systems of inequalities
      2. ​Solving systems of inequalities word problem
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing solutions to a system of two-variable linear inequalities.
    5. Quiz Answers
  7. Modeling with Systems of Linear Inequalities Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – What type of problem can be modeled and solved with a system of linear inequalities?
      1. ​Graphing systems of inequalities
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice modeling and solving systems of linear inequalities.
    5. Quiz Answers
  8. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 5: Nonlinear Functions
  1. Linear Piecewise Defined Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What does it mean for a function to be piecewise defined?
      1. I​ntroduction to piecewise functions
      2. Graphing piecewise functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing, graphing, and defining piecewise functions.
    5. Quiz Answers
  2. Step Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What relationships have graphs that look like steps?
      1. Domain & range of step function​
      2. Graphing Step Functions ​
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing step functions.
    5. Quiz Answers
  3. Absolute Value Functions and Translations Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What does the graph of an absolute value function look like?
      1. ​Graphing absolute value functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing absolute value functions.
    5. Quiz Answers
  4. The Square Root Function Guided Notes
    1. Warm Up – Get ready for the lesson.
    2. Instruction – What is the square root function?
      1. ​Graphing square root functions
      2. Square root functions and graphs
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice working with square roots and square root functions.
    5. Assignment – Read about the history of the square root.
    6. Quiz Answers
  5. The Cube Root Function Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What does the graph of a cube root function look like?
      1. ​Graphing cube root functions
      2. Graphing cube root functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice graphing cube root functions.
    5. Quiz Answers
  6. Performance Task: Construct and Analyze Piecewise Functions
    1. Warm-Up – Get ready for the lesson
    2. Instruction – Learn about nonlinear relationships.
      1. Graphing piecewise functions​
    3. Performance Task – Show what you know about nonlinear relationships
  7. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 6: Exponential Functions
  1. Exponential Growth Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction
      1. ​Graphing exponential functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice with exponential growth functions.
    5. Assignment – Explore exponential growth.
    6. Quiz Answers
  2. Exponential Decay Functions Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – What does it mean to decay exponentially?
      1. ​​Exponential applications
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice with exponential decay.
    5. Assignment – Read about the work of Willard F. Libby.
    6. Quiz Answers
  3. Vertical Stretches and Shrinks of Exponential Functions Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – How does a constant in front of the base change the graph of an exponential function?
      1. ​Exponential Functions – Stretch & Shrink
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing stretches and shrinks of exponential functions
    5. Quiz Answers 
  4. Reflections of Exponential Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What is the relationship between reflecting an exponential function over an axis and its equation?
      1. ​Reflections of exponential functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice graphing and analyzing functions reflected across the x-axis and y-axis.
    5. Quiz Answers
  5. Translations of Exponential Functions Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – How does adding a constant to an exponential function change its graph?
      1. ​Translations of exponential functions
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice translating exponential functions.
    5. Quiz Answers
  6. Exponential Functions with Radical Bases Guided Notes
    1. Warm-Up
    2. Get ready for the lesson.
    3. Instruction – What does the graph of an exponential function with an irrational base look like?
      1. ​Exponential functions with radical bases
    4. Summary – Review and connect what you learned.
    5. Assignment – Practice with exponential functions that have irrational bases.
    6. Quiz Answers
  7. Geometric Sequences Guided Notes
    1. Warm-Up – Get ready for the lesson.
    2. Instruction – What is an exponential function that has the natural numbers as its domain?
      1. Intro to geometric sequences​
      2. Intro to geometric sequences (advanced)
    3. Summary – Review and connect what you learned.
    4. Assignment – Practice analyzing geometric sequences.
    5. Quiz Answers
  8. Graphing Logarithmic Functions Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – What methods can you use to graph the inverses of exponential functions?
      1. ​Graphs of logarithmic functions
      2. Shape of a logarithmic parent graph
    3. Assignment – Identify the graph of a logarithmic function.
    4. Quiz Answers
  9. Solving Logarithmic Equations using Technology Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – How can you solve logarithmic equations both numerically and graphically?
      1. ​Logarithmic equations: variable in the argument
      2. Logarithmic equations: variable in the base
    3. Assignment – Practice using the change of base formula.
    4. Quiz Answers
  10. Geometric Series Guided Notes
    1. Warm-Up – Get ready for the lesson
    2. Instruction – How can you find the sum of the terms of a finite or infinite geometric sequence?
      1. ​Geometric series introduction
    3. Assignment – Solve a geometric series problem.
    4. Quiz Answers
  11. Unit Test
    1. Unit Test Review Answers
    2. Unit Test Answers
Unit 7:Cumulative Exam
  1. Cumulative Exam Review Answers
  2. Cumulative Exam Answers