Enrolling Now for 2026-27 School Year.
Enrolling Now for 2026-27 School Year.
Honors Precalculus Learning Coach Guide Contents Fundamentals of Algebra Unit13 Functions and Graphing Unit14 Polynomial Functions Unit15 Exponential and Logarithmic Functions Unit16 Sequences and Series Unit17 Systems of Linear Equations and Matrices Unit18 Trigonometric Functions Unit19 Applications of Trigonometry Unit20 Vectors Unit21 Introduction to Calculus Unit22 Part A:Welcome to Honors Precalculus Welcome Letter 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. The Unit Overview will tell you what the focus, content, and skills of the unit will be. The Unit Assessment section is a place for you and your learner to preview the graded work in the course. At the start of each unit, work with your learner to look at the unit in edio and find out which types of graded work are in this unit. Write them in the box and use it as a checklist. You can check off each one as your learner completes it. The Unit Materials section tells you the materials your learner will need to complete the activities in this unit. You will also find the materials list repeated within each lesson so that your learner has exactly what they need at the right time. The Unit Discussion Questions are optional questions that you may want to ask your learner during the unit to increase home and school connections about what your learner is studying. In the Unit Notables section, you may find optional activities, career connections, technology tips, or ideas to help your learner if they get stuck. CCA wishes you and your learner a terrific school year! Supporting Your Learner 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. Help your learner know what time guided or live class instruction is scheduled for, and prompt them to attend sessions or watch recordings. Remember, it is okay for your learner to get stuck. Learning new material takes time. Encourage them to take breaks, keep trying, and even ask the teacher for help. Help your learner navigate technology. That may mean helping them type information or upload work into edio. Always encourage your learner to do their very best. Review the course syllabus for your learner’s course. Maintain communication with your learner’s teacher. Part B:Course Information Course Goals 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: Apply the fundamental principles of Algebra Collect, organize, and analyze data in tables of values, graphs with regard to linear and quadratic models and functions Collect, organize, and analyze data in tables of values, graphs with regard to polynomial models and functions Collect, organize, and analyze data in tables of values, graphs with regard to exponential and logarithmic models and functions Solve systems of equations with matrix operations Represent numerical sequences and series in both implicit and explicit forms Calculate values and graph trigonometric functions Use trigonometric identities and equations to solve problems Apply the properties of vectors to make calculations in the x–y plane Course Format 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. Quiz Review: Before a quiz, learners will have the opportunity to review the content they will be assessed on in a quiz. Quiz: A quiz may be given at the end of a topic or the end of a unit. Test Review: Before a test, learners will have the opportunity to review the content they will be assessed on in the test. Test: A test will assess learning across topics or at the end of a unit. Course Features 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. Part C:Unit Information Fundamentals of Algebra Unit 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 _______________________ Functions and Graphing Unit 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 _________________________ Polynomial Functions Unit 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 _________________________ Exponential and Logarithmic Functions Unit 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 _________________________ Sequences and Series 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 _________________________ Systems of Linear Equations and Matrices Unit 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 _________________________ Unit Overview In this unit, your learner will be utilizing the Pythagorean Theorem and other geometric concepts to ascertain beneficial common trigonometric values with reference to the unit circle. The unit introduces radian measurement, equipping your learner with the ability to express angles in both radian and degree measurement during the practical application to real-world scenarios. functions modeling the conditions. Additionally, your learner will explore graphing trigonometric functions. Unit Assessments Have your learner identify which assessment type they see in their unit. Check all that apply. Unit Discussion Questions What measurements do you need to find a side of a right triangle? How can you measure an angle? How can you apply the concepts you learned in this unit to the real world? Unit Notables Your learner will be using right triangles to determine side lengths and angles for real-world problems. They will be using trigonometric ratios to solve for these values. Your learner will then develop the unit circle and the ratios of sine, cosine, and tangent in both degree and radian measurements. Kit Materials Household Materials pencil Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator Quiz _________________________ Test _________________________ Assignment ________________ Project _____________________ Exam _______________________ Unit Overview In this unit, your learner will explore the inverses of the trigonometric functions and composite functions and how to evaluate these types of functions. They will then explore how to determine the measures of angles and sides of various triangles and apply those techniques to real-world situations. Your learner will apply trigonometric identities to evaluate trigonometric functions and simplify expressions. Unit Assessments Have your learner identify which assessment type they see in their unit. Check all that apply. Unit Discussion Questions Unit Notables Kit Materials Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator Household Materials pencil 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 _______________________ Unit Overview In this unit, your learner will learn about vectors and their applications. This unit convers vector representations, determining the magnitude and direction of a vector, vector operations, and how to model real-life scenarios using vectors. Unit Assessments Have your learner identify which assessment type they see in their unit. Check all that apply. Unit Discussion Questions What is a vector? How can you measure a vector? What was the difference between the navigation of airplanes and ships? Unit Notables Your learner will be measuring a vector using magnitude and direction. A vector is written in component form which is like the coordinates of a point but uses vector brackets instead of parenthesis. Vectors can determine the direction of a plane or other object when wind is altering its path. Kit Materials Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator Household Materials pencil Quiz _________________________ Test _________________________ Assignment ________________ Project _____________________ Exam _______________________ Unit Overview In this unit, your learner will be introduced to the topics that they will explore in the beginning of calculus. This unit covers limits, continuity, and the definition of a derivative. Unit Assessments Have your learner identify which assessment type they see in their unit. Check all that apply. Unit Discussion Questions How do you identify the exact point where change occurs? How can you use the value of a limit to help understand functions and their graphs? What will be your next mathematics courses? Unit Notables Limits can help your learner approximate values based on models or equations. Sometimes, the equation is not defined at a point. Some learners struggle with this. Remind your learners that limits are only interested in where the value is approaching. Kit Materials Honors Precalculus Extra Practice Workbook, Honors Precalculus Lesson Companion, TI-84+ calculator Household Materials pencil Quiz _________________________ Test _________________________ Assignment ________________ Project _____________________ Exam _______________________
Enrolling Now for 2026-27 School Year.
