Enrolling Now for 2026-27 School Year.
Enrolling Now for 2026-27 School Year.
Dear Learning Coach,
Thank you for partnering with CCA and investing in your learner’s education. This Learning Coach Guide is intended to help you support your learners in their Honors Precalculus course.
Within this guide, you will find the goals, components, and features of the online course. Please take time to read and review this information so you understand how to help your learner interact with all the course’s elements.
The Learning Coach Guide also includes information about each of the units in this course. On each page of unit information, you will discover the following.
CCA wishes you and your learner a terrific school year!
Your role as a Learning Coach is very important. Here are a few ways you can help your learner do their very best in the course.
In Honors Precalculus, your learners will apply the concepts that they have learned in Algebra 2. Your learner also explores ideas and concepts that are necessary for the next course, Calculus. While Calculus is technically Algebra, it is a very specific way to do Algebra to find very specific values. These processes are long and must be followed completely with great detail. Your learner will prepare for these procedures in this course.
By the end of the year, your learner will be able to:
Lesson Components:
Each day, your learner will spend 45–60 minutes completing a math lesson. Some days may take less time, while other days may take a little more time. The lesson does not need to be completed in one sitting. Encourage your learner to take short breaks as they need.
This section will help you to understand how your learner’s course is structured in edio.
Lesson Bundling:
Within the lesson bundles, there are different components your learner will interact with. These components will not be used every day.
1. Getting Started Lesson: There is one Getting Started lesson in this course. It can be found on Day 1 of Unit 1. This lesson includes important information about the course with contact information for your teacher.
2. Unit Overview: Each unit will include a unit overview. This describes what your learner will learn in the unit and how many assessments the unit will have.
3. Prep for Success: At the beginning of each unit, your learner will find a Prep for Success. This component offers learners tips to be successful in the course, such as study tips, important software information, safety reminders, and more.
4. Knowledge Check: There will be one Knowledge Check in each unit. The Knowledge Check is designed to check prior learning and understanding of key skills and concepts that will be taught in the unit. The Knowledge Check is not a graded assessment.
Each lesson has its own components to help guide your learner through the lesson.
1. Lesson Overview: At the beginning of every lesson, your learner will see the lesson overview. This section contains lesson objectives, lesson vocabulary, materials your learner will need for the lesson, and the suggested lesson length.
2. Engage: The first section of the lesson is Engage. In this section, learners will be introduced to the lesson by making a connection to past and present knowledge and will get ready for the lesson’s instruction.
3. Discover: New content and instruction is presented in the Discover section. Your learner will interact with the lesson content through defined vocabulary terms, videos, audio, and Pause and Think activities. Your learner will be able to practice and answer questions as they work through the lesson.
4. Show: Learners will demonstrate what they have learned in the lesson through a series of practice questions.
5. Optional: More to Explore: This section will contain 3 to 5 additional questions involving concepts from the day’s lesson. There will be solutions provided following the questions to help your learner determine whether they made any errors with the problems and how to correct them.
6. Summary: This section recaps the day’s objectives and prepares learners for a future lesson or assessment.
The course includes assignments and projects. These graded assignments allow your learner to show what they have learned and apply their new skills. All CCA assignments and projects include these components.
1. Assessment Overview: At the beginning of each assessment, your learner will see the assessment overview. This section contains the goals of the assessment, materials your learner will need, length of the assessment, and directions for completion.
2. Plan: In the Plan section, learners will be introduced to the assignment or project. Learners may be provided with a review of content from the previous lessons, strategies for completing the activity, graphic organizers, and grading rubrics.
3. Do: Learners put their plan into action and work to complete the assignment or project successfully. This section also provides the grading expectations and/or rubric the teacher will use to grade the work.
4. Reflect: In Reflect, learners will think back to the work they completed. They will reflect upon the experience and analyze how well they completed the task. These moments of reflection are important and allow learners to think about their learning and their work habits.
In addition to assignments and projects, this course also includes quizzes and tests.
This course includes and uses unique features such as:
GeoGebra Interactive Activities: A digital math tool learners can use to access a free online scientific, graphing, or CAS calculator and virtual math interactives. Learners will use the GeoGebra calculator and interactives to solve problems and produce graphical representations as needed.
Lesson Companion: This course utilizes a framework of notes for learners to complete while exploring each lesson. Learners will be able to keep track of the concepts and vocabulary learned in the lesson and use the companion as an effective study guide for this course and future math courses.
Extra Practice Workbook: Each topic will include extra practice problems that align with the lessons. These are optional problems that come with an answer key before each unit test. Learners can utilize this resource to further understand the skills covered in each lesson that will be assessed on the quizzes and tests.
Unit Overview
This is a unit that reviews fundamental algebra skills. The specific skills being reviewed are the core skills that will consistently be applied throughout the course, including properties of real numbers, exponents and radicals, algebraic and rational expressions, and writing, simplifying, and solving equations.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some ways you use basic math every day?
What are you looking forward to learning about in this course?
Think of a career you might be interested in. How is math used in that career?
Unit Notables
The skills in this unit are the foundation for learning more advanced math skills, which are utilized in many careers, including engineers, financial analysts, accountants, architects, data analysts, computer scientists, programmers, economists, scientists, and researchers. Encourage your learner to explore these careers to see if they find any interesting as future career options.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Unit Overview
This is a unit that reviews fundamental algebra skills. The specific skills being reviewed are the core skills that will consistently be applied throughout the course, including properties of real numbers, exponents and radicals, algebraic and rational expressions, and writing, simplifying, and solving equations.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some ways you use basic math every day?
What are you looking forward to learning about in this course?
Think of a career you might be interested in. How is math used in that career?
Unit Notables
The skills in this unit are the foundation for learning more advanced math skills, which are utilized in many careers, including engineers, financial analysts, accountants, architects, data analysts, computer scientists, programmers, economists, scientists, and researchers. Encourage your learner to explore these careers to see if they find any interesting as future career options.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Unit Overview
In this unit, your learner will explore functions and their properties. The exploration into graphs of functions will involve finding the domain and range, increasing and decreasing intervals, zeros, and vertices, as well as performing transformations.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some examples of functions that you use in your daily life? For example: each person only has one birthday, so the relation of a person to their birthday is a function.
Do you feel confident about the different characteristics of each type of function in this unit?
Unit Notables
In this unit, your learner will focus on functions including linear, quadratic, and rational functions. Your learner should focus on the characteristics of these functions and their graphs. These skills will be used throughout the remaining mathematics courses.
Kit Materials
graph paper, Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Unit Overview
In this unit, your learner will explore functions and their properties. The exploration into graphs of functions will involve finding the domain and range, increasing and decreasing intervals, zeros, and vertices, as well as performing transformations.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some examples of functions that you use in your daily life? For example: each person only has one birthday, so the relation of a person to their birthday is a function.
Do you feel confident about the different characteristics of each type of function in this unit?
Unit Notables
In this unit, your learner will focus on functions including linear, quadratic, and rational functions. Your learner should focus on the characteristics of these functions and their graphs. These skills will be used throughout the remaining mathematics courses.
Kit Materials
graph paper, Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Exam _______________________
Project _____________________
Assignment ________________
Test _________________________
Quiz _________________________
Unit Overview
In this unit, learners will explore polynomial functions and their properties. They will create a roller coaster design project using different lines and curves to design their own unique roller coaster. They will also be introduced to imaginary numbers and the complex number system, which are used in physics and engineering.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What was your favorite part about the roller coaster design project?
Do you like to use long division or synthetic division to find polynomial roots? Explain why.
What questions do you still have about the concepts in this unit?
Unit Notables
Your learner will discover complex numbers and their relationship with polynomial functions. These functions are used to make curvatures in any design in the real world. Your learner will use polynomial functions in their roller coaster design project. They will submit the completed project as a unit assessment.
Kit Materials
graph paper, Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Unit Overview
In this unit, learners will explore polynomial functions and their properties. They will create a roller coaster design project using different lines and curves to design their own unique roller coaster. They will also be introduced to imaginary numbers and the complex number system, which are used in physics and engineering.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What was your favorite part about the roller coaster design project?
Do you like to use long division or synthetic division to find polynomial roots? Explain why.
What questions do you still have about the concepts in this unit?
Unit Notables
Your learner will discover complex numbers and their relationship with polynomial functions. These functions are used to make curvatures in any design in the real world. Your learner will use polynomial functions in their roller coaster design project. They will submit the completed project as a unit assessment.
Kit Materials
graph paper, Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Exam _______________________
Project _____________________
Assignment ________________
Test _________________________
Quiz _________________________
Unit Overview
In this unit, your learner will be introduced to exponential and logarithmic functions. Your learner will graph and evaluate equations containing these functions, work with many different exponential and logarithmic bases, and be introduced to the logarithmic base e. Your learner will also model real-world situations involving these concepts, including exponential growth and decay, and how they apply to real-world situations like compound interest, logistic growth, and carbon dating.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What surprised you about the exponential application problems?
Did you find exponential or logarithmic functions more difficult than other functions?
Did the career aptitude test results help you find an interesting career opportunity?
Unit Notables
The real-world applications for exponential and logarithmic functions of this unit include compounding interest, population size, depreciation, pH levels, and the magnitude of an earthquake, just to name a few. Encourage your learner to explore additional applications that interest them.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Unit Overview
In this unit, your learner will be introduced to exponential and logarithmic functions. Your learner will graph and evaluate equations containing these functions, work with many different exponential and logarithmic bases, and be introduced to the logarithmic base e. Your learner will also model real-world situations involving these concepts, including exponential growth and decay, and how they apply to real-world situations like compound interest, logistic growth, and carbon dating.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What surprised you about the exponential application problems?
Did you find exponential or logarithmic functions more difficult than other functions?
Did the career aptitude test results help you find an interesting career opportunity?
Unit Notables
The real-world applications for exponential and logarithmic functions of this unit include compounding interest, population size, depreciation, pH levels, and the magnitude of an earthquake, just to name a few. Encourage your learner to explore additional applications that interest them.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Exam _______________________
Project _____________________
Assignment ________________
Quiz _________________________
Test _________________________
Unit Overview
In this unit, your learner will explore the mathematics involved with lists of numbers known as sequences and any patterns that exist in those sequences, including real-world applications. Learners will also explore two specific sequences, arithmetic sequences, and geometric sequences, and how to determine the value of a term in a specific position of that sequence. Lastly, your learner determines the sum of terms in a sequence.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
Unit Notables
Your learner will write arithmetic and geometric sequences both recursively and with an explicit formula and use them to model situations in the real-world. This unit is the foundation for your learner to prepare for calculus applications of power series and limits of infinitely many terms.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
What is the difference between sequences and series?
How can you explain the difference between an arithmetic sequence and a geometric sequence?
Was there anything that seemed challenging in this unit?
Unit Overview
In this unit, your learner will explore the mathematics involved with lists of numbers known as sequences and any patterns that exist in those sequences, including real-world applications. Learners will also explore two specific sequences, arithmetic sequences, and geometric sequences, and how to determine the value of a term in a specific position of that sequence. Lastly, your learner determines the sum of terms in a sequence.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
Unit Notables
Your learner will write arithmetic and geometric sequences both recursively and with an explicit formula and use them to model situations in the real-world. This unit is the foundation for your learner to prepare for calculus applications of power series and limits of infinitely many terms.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
What is the difference between sequences and series?
How can you explain the difference between an arithmetic sequence and a geometric sequence?
Was there anything that seemed challenging in this unit?
Exam _______________________
Quiz _________________________
Project _____________________
Assignment ________________
Test _________________________
Unit Overview
In this unit, your learner will discover the relationship between systems of equations, systems of inequalities, and matrices, as well as determine how they are utilized in real-world situations. When your learner completes this unit, they will know various methods for solving systems of equations and inequalities, as well as understanding feasible solutions. Your learner will also apply matrix operations to represent and solve systems.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some ways you can solve a system of equations?
What is a matrix? What is it used for in the real world?
Do all systems of equations have solutions? How can you tell?
Unit Notables
Your learner will solve systems of equations with two or three variables, both graphically and algebraically. They will explore matrices and matrix operations and use them to model situations in the real-world. Your learner will then use matrix operations to solve systems of linear equations.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Unit Overview
In this unit, your learner will discover the relationship between systems of equations, systems of inequalities, and matrices, as well as determine how they are utilized in real-world situations. When your learner completes this unit, they will know various methods for solving systems of equations and inequalities, as well as understanding feasible solutions. Your learner will also apply matrix operations to represent and solve systems.
Unit Assessments
Have your learner identify which assessment type they see in their unit. Check all that apply.
Unit Discussion Questions
What are some ways you can solve a system of equations?
What is a matrix? What is it used for in the real world?
Do all systems of equations have solutions? How can you tell?
Unit Notables
Your learner will solve systems of equations with two or three variables, both graphically and algebraically. They will explore matrices and matrix operations and use them to model situations in the real-world. Your learner will then use matrix operations to solve systems of linear equations.
Kit Materials
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Household Materials
pencil
Exam _______________________
Project _____________________
Assignment ________________
Quiz _________________________
Test _________________________
Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
What measurements do you need to find a side or angle of an oblique triangle?
Which one of the basic trigonometric identities was easiest to recognize?
How were solving trigonometric equations like solving other equations?
What measurements do you need to find a side or angle of an oblique triangle?
Which one of the basic trigonometric identities was easiest to recognize?
How were solving trigonometric equations like solving other equations?
Your learner will be using trigonometry and formulas to determine side lengths and angles for oblique triangles including real-world problems. They will be determining trigonometric identities to simplify expressions. These identities will be useful in solving trigonometric equation.
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Quiz _________________________
Test _________________________
Assignment ________________
Project _____________________
Exam _______________________
Enrolling Now for 2026-27 School Year.
