Honors Algebra 1 Learning Coach Guide

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Contents

One-Variable Statistics Unit13

Linear Equations and Inequalities Unit14

Systems of Equations and Inequalities Unit15

Probability Unit16

Two-Variable Statistics Unit17

Functions Unit18

Exponents and Radicals Unit19

Introduction to Quadratic Functions Unit20

Quadratic Equations Unit21

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 learner in their Honors Algebra I 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 Algebra 1, your learner will use the foundations they learned in previous courses to extend their knowledge of basic operations with integers and variable expressions, solving one and two-step equations, graphing on the x–y plane for both linear and quadratic equations as well as solving systems of linear equations.

By the end of the year, your learner will be able to:

use one variable statistic to identify trends and variation in data;

create linear models to define scenario with given constraints;

solve and graph linear equations and linear systems;

use two variable statistics to identify trends and causation between two datasets;

find the line of fit for a scatter plot and use it to make predictions;

use functions to model and analyze scenarios;

graph and solve quadratic functions and inequalities; and

identify and explain exponential growth and decay.

Course Format

Lesson Components:

Each day, your learner will spend 60–75 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.

See the example below.

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 and 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 about 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. Warm Up: At the beginning of every lesson, your learner will see the Warm Up. This section contains lesson objectives, lesson vocabulary, materials your learner will need for the lesson, and the suggested lesson length. Your learner will then complete a short activity to preview a topic in the lesson and will hear from peers about approaches, observations, or questions about the activity.

2. Explore: The second section of the lesson is Explore. This section is divided into three parts.

Engage: In this part, learners will be introduced to concepts in the lesson by making a connection to careers, applications, other disciplines, or past and present knowledge to get them interested in the lesson’s instruction.

Discover: New content and instruction are 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.

Show: Learners will demonstrate what they have learned in the lesson through a series of practice questions.

3. Practice and Skill Builder: The third section of the lesson is Practice and Skill Builder. Every lesson will contain a Practice section, but only some of the lessons in the unit will contain a Skill Builder.

Practice: This part will contain 3 to 5 questions on the day’s content and 1 to 2 spiraling questions from past lessons or units.

Skill Builder: If a Skill Builder is included in the day’s activities, your learner will choose from 3 activities to participate in. These activities are gamified versions of mathematical topics designed to encourage critical thinking.

Summary: This section recaps the day’s objectives and notifies learners of 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 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.

Discourse: This is communication between learners, peers, and teachers in the classroom. Discourse includes the academic conversation that comes from learners actively engaging in a lesson.

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. A sample is shown on the left below:

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. A sample is shown on the right below:

Part C:Unit Information

One-Variable Statistics Unit

Unit Overview

In this unit, your learner will explore different types of data and ways to represent the data. Your learner with also analyze and make predictions about the behavior of the data.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Household Materials

none

Unit Discussion Questions

How can summary statistics be used to make predictions for scenarios where data has been collected?What are some ways you might use statistics every day?

Unit Notables

In this unit, your learner will collect data on two variables and organize that data in tables, graphs, and equations. These representations help your learner to make predictions about these two parameters.

Kit Materials

calculator, graph paper, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion, scissors

Linear Equations and Inequalities Unit

Unit Overview

Equations can be used to model real-world scenarios to help your learner make predictions, plan, or reveal important information and trends. In this unit, your learner will explore writing, solving, and graphing linear equations and inequalities.

Unit Assessments

Quiz _________________________

Test __________________________

Assignment _________________

Project ______________________

Exam ________________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

What does a solution mean in the context of a given problem or scenario? What are some examples of inequalities that can model a real-world scenario?

What are some of the things you learned in this unit?

Unit Notables

In the real world, your learner can collect data and analyze it. For example, they can analyze if they study longer will it improve their grades? They can also take the measurement of two different things and use the information to determine if the items are related to one another.

Kit Materials

calculator, colored pencils, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion

Household Materials

none

Systems of Equations and Inequalities Unit

Unit Overview

In this unit, your learner will learn that some scenarios require two (or more) equations to solve. The scenario develops systems of equations that can be manipulated and graphed to identify conditions that satisfy all constraints in a scenario.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How are the graphs of systems of linear inequalities used to determine possible solutions? What is the meaning of an intersection of the systems of equations?

What did you find most challenging in this unit?

Unit Notables

In this unit, your learner will consider two linear equations that represent two different scenarios and determine which values they share. Your learner can solve this problem as a system of equations. This can be done graphically or algebraically.

Kit Materials

calculator, colored pencils, graph paper, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion,

Household Materials

none

Probability Unit

Unit Overview

Probability is used to help make predictions based on observed experiments or an understanding of the natural constraints of a scenario. In this unit, your learner will use experimental and theoretical probability, explore the fundamental counting principle, and calculate the likelihood of one (or more) events occurring.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How does the probability of a given event help determine the likelihood of the event occurring?What is something you would like to learn more about?

How could you use probability in your everyday life?

Unit Notables

In this unit, your learner will find that in most cases, the probability of an event occurring is the total number of chances of the event in question, divided by the total number of events. For example, if there are 4 red marbles in a bag of 10 marbles total, the probability of pulling a red marble is 4/10 or 40 percent.

Kit Materials

calculator, Honors Algebra 1 Lesson Companion

Household Materials

none

Two-Variable Statistics Unit

Unit Overview

Real-world scenarios often have multiple variables that affect the results. In this unit, your learner will analyze data for trends and patterns using scatter plots. By establishing a line of fit, your learner can make predictions for given scenarios and identify causal relationships.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How can scatter plots and linear models be used to determine relationships between data values?

What did you like about the project?

Can you see how you might use math in a career?

Unit Notables

In this unit, your learner will see that trends in data help them to guess about the behavior of the data. For example, doctors know that your adult height is nearly double the height you had when you were 2 years old. It’s a good guess. Some data fits a trend more the other types.

Kit Materials

calculator, colored pencils, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion, ruler, scissors

Household Materials

none

Functions Unit

Unit Overview

Functions are relationships where each input has only one output. In this unit your learner will explore functions to model real world scenarios, using function notation to describe rules and constraints, the domain and range of functions, inverse functions, and functions with recognizable types of graphs.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How are functions used to model scenarios and given constraints?Which function did you find easiest to graph this unit?

Is

I

How do functions model solutions to linear equations?

What did you learn in this unit?

Unit Notables

Math models help your learner to make predictions based on data or calculations, however an equation can have restrictions. For example, there can never be 2.5 people. Your learner will also learn that an inverse function does the math backwards.

Kit Materials

calculator, colored pencils, graph paper, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion, scissors

Household Materials

none

Exponents and Radicals Unit

Unit Overview

Exponents and radicals are fundamental mathematical concepts that play a crucial role in your algebraic journey. Exponents provide a convenient and shorthand method for expressing repeated multiplication. On the other hand, radicals are the inverse of exponents. There are many properties and rules associated with exponents and radicals. You will start with exponents first, then move into radicals.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How are exponent and radical functions related?Why do you need to rationalize a denominator?

Wh

How can a pattern be recognized as exponential growth or decay?

Unit Notables

In this unit, your learner should understand the many properties and rules associated with exponents and radicals. They should also be able to simplify radicals and rationalize the denominator. These concepts are essential as they are used throughout your learner’s high school math courses.

Kit Materials

Calculator, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion

Household Materials

none

Introduction to Quadratic Functions Unit

Unit Overview

Quadratic functions are equations that result in a parabola when graphed. In this unit, your learner will learn quadratic equations, their graphs, explore different forms, and model real-world scenarios.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

How can quadratic functions be used to model projectile motion scenarios like with a baseball? What questions do you have about this unit?

What did you find most interesting in this unit?

Unit Notables

In this unit, your learner will explore parabolic behavior. Different block patterns can be modeled using a quadratic equation. Your learner will look at projectile motion examples. The path of a launched pumpkin or the path of a baseball after it is hit are examples of parabolic behavior.

Kit Materials

calculator, graph paper, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion, scissors

Household Materials

none

Quadratic Equations Unit

Unit Overview

In this unit, your learner will explore the solutions to quadratic equations, factor quadratic equations, and use different method (like completing the square and the quadratic formula) to solve quadratic equations. These quadratic equations will be presented in both mathematical and real-world contexts.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

Exam _______________________

Have your learner identify which assessment type they see in their unit. Check all that apply.

Unit Discussion Questions

When and why are quadratic equations used to model scenarios?What are some ways you can memorize the quadratic formula to use in future classes?What are your future mathematics plans?

What does the solutions to a quadratic equation represent?

What was the least challenging part of this unit?

Unit Notables

In this unit, your learner will learn that roots, zeros, and factors are some forms of the solutions of a quadratic equation. Graphically, the solution occurs when a quadratic graph crosses the x–axis. Your learner will explore the quadratic formula, which can be used to solve any quadratic function.

Kit Materials

calculator, Honors Algebra 1 Extra Practice Workbook, Honors Algebra 1 Lesson Companion, scissors

Household Materials

none