Math 6 Math Learning Coach Guide

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 Math 6 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, math materials 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 Math 6, your learner will study concepts in four key areas: connecting ratio and rate to whole number multiplication and division; understanding division of fractions to the system of rational numbers; writing, interpreting, and using expressions and equations; and developing an understanding of statistical thinking. By the end of the year, your learner will be able to:

• extend knowledge of area to find surface areas of 3-dimensional figures;
• explore ratios, ratio language, and ratio representations;
• extend understandings of ratios to understand unit rates and percentages;
• understand the meaning of fraction division through representations, algorithms, and application problems, including lengths of figures;
• use arithmetic operations to add, subtract, multiply, and divide decimals;
• interpret, solve, and evaluate expressions and equations;
• extend understanding of rational numbers to positive and negative numbers to help interpret number lines, the coordinate plane, and inequalities; and
• use data sets, distributions, and statistical measures to answer questions and draw conclusions about scenarios.

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 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.

See example below.

In math learners will see a specific bundle of lessons within one day. Each lesson has its own components to help guide your learner through it.

• Warm Up: At the beginning of nearly all math lessons, learners will begin with a Warm Up. The Warm Up is meant to help learners practice math fluency and understanding of numbers. The Warm Up may include math thinking routines or a review of prior learning.  
• Explore: This section of the lesson is the new learning for the day. Learners are exposed to vocabulary, lesson instruction, and practice. 
• 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.
• 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.
• 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.
• Show: Learners will demonstrate what they have learned in the lesson through a series of practice questions.
• Wrap Up: This section recaps the day’s objectives and prepares learners for a future lesson or assessment.
• Practice and Skill Builder: Most days will include a Practice section or a Practice and Skill Builder section.  
• Practice: Practice problems will be a continuation of the content taught within the Explore section. These practice problems give learners time to practice new skills and review previously learned math concepts.  
• Skill Builder: Within this section, learners are offered the choice of activities, often hands-on or based on digital applications, to extend their understanding of past and present math concepts.  

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, the 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: GeoGebra is a digital math tool learners can use to access free virtual math interactives. Learners may use the GeoGebra interactives to solve problems.

Math Routines: Math lessons typically start with a Warm Up section using math routines to help learners get ready for the day’s lesson or provide opportunities to build number sense and procedural fluency. Math routines focus on strengthening learners’ skills and confidence in listening and speaking about math.

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.

Math Notebook: Learners will receive a math notebook in which they can answer questions, take notes, and complete activities and extra practice problems that support online lessons.

Part C:
Unit Information

Area and Surface Area Unit

Unit Overview

In this unit, your learner will find areas of polygons by decomposing, rearranging, and composing shapes. They learn to understand and use the terms base and height. They represent figures with nets and find their surface areas.

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 is the difference between area and surface area?

How do you break apart figures so that you can find their area more easily?

What did you like about this unit?

Unit Notables

Your learner will be performing lots of calculations involving multiplication and division as they find area and surface area. Encourage them to review their basic multiplication facts to 100. Use the dry erase flashcards to record facts that need more practice.

Kit Materials

colored pencils, connecting cubes, dry erase board, dry erase flashcards, dry erase markers, gluestick, Math Notebook, pattern blocks, ruler, scissors, tangrams, tape

Household Materials

blank sheet of paper, pencil

Unit Overview

In this unit, your learner will find areas of polygons by decomposing, rearranging, and composing shapes. They learn to understand and use the terms base and height. They represent figures with nets and find their surface areas.

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 is the difference between area and surface area?

How do you break apart figures so that you can find their area more easily?

What did you like about this unit?

Unit Notables

Your learner will be performing lots of calculations involving multiplication and division as they find area and surface area. Encourage them to review their basic multiplication facts to 100. Use the dry erase flashcards to record facts that need more practice.

Kit Materials

colored pencils, connecting cubes, dry erase board, dry erase flashcards, dry erase markers, gluestick, Math Notebook, pattern blocks, ruler, scissors, tangrams, tape

Household Materials

blank sheet of paper, pencil

Introducing Ratios Unit

Unit Overview

In this unit, your learner is introduced to the terms ratio, rate, equivalent ratios, constant speed, and constant rate. They represent ratios as expressions, and equivalent ratios with double number line graphs, tape diagrams, and tables.

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 is a ratio?

What are ratios used in a real-world example?

What are you still working on?

Unit Notables

Your learner will be analyzing ratios and rates to solve real-world problems involving paint mixtures, recipes, and constant speed. Encourage them to choose a scenario and discuss it together. You can even look at favorite recipes and discuss the ratios they observe

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner is introduced to the terms ratio, rate, equivalent ratios, constant speed, and constant rate. They represent ratios as expressions, and equivalent ratios with double number line graphs, tape diagrams, and tables.

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 is a ratio?

What are ratios used in a real-world example?

What are you still working on?

Unit Notables

Your learner will be analyzing ratios and rates to solve real-world problems involving paint mixtures, recipes, and constant speed. Encourage them to choose a scenario and discuss it together. You can even look at favorite recipes and discuss the ratios they observe

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, ruler

Household Materials

pencil

Unit Rates and Percentages Unit

Dividing Fractions Unit

Unit Overview

In this unit, your learner will examine how the relative size of the numerator and denominator of a fraction affect the size of the fraction. They solve problems involving lengths and areas of figures. They use tape diagrams and equations in reasoning about situations that involve multiplication and division of fractions.

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 do diagrams help you make sense of fraction problems?

What steps do you use to solve equations that have fractions in them?

What are you still working on?

Unit Notables

Encourage your learner to use the dry erase flashcards to make practice cards for fractions they do not quickly name equivalent fractions for. Have them check common fractions that have denominators of 4, 6, and 8.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, measuring tape, pattern blocks, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner will examine how the relative size of the numerator and denominator of a fraction affect the size of the fraction. They solve problems involving lengths and areas of figures. They use tape diagrams and equations in reasoning about situations that involve multiplication and division of fractions.

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 do diagrams help you make sense of fraction problems?

What steps do you use to solve equations that have fractions in them?

What are you still working on?

Unit Notables

Encourage your learner to use the dry erase flashcards to make practice cards for fractions they do not quickly name equivalent fractions for. Have them check common fractions that have denominators of 4, 6, and 8.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, measuring tape, pattern blocks, ruler

Household Materials

pencil

Arithmetic in Base Ten Unit

Unit Overview

In this unit, your learner computes sums, differences, products, and quotients of multi-digit whole numbers and decimals using algorithms (steps). They use calculations to solve problems in 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

How are operations with whole numbers similar to operations with decimals? How are they different?

What do you like about using a calculator?

Unit Notables

In this unit, your learner will use a calculator. Have your learner choose a real-world problem and explain how to solve the problem so that your learner recognizes that the calculator is only a tool when you know how to use it properly.

Kit Materials

calculator, colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner computes sums, differences, products, and quotients of multi-digit whole numbers and decimals using algorithms (steps). They use calculations to solve problems in 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

How are operations with whole numbers similar to operations with decimals? How are they different?

What do you like about using a calculator?

Unit Notables

In this unit, your learner will use a calculator. Have your learner choose a real-world problem and explain how to solve the problem so that your learner recognizes that the calculator is only a tool when you know how to use it properly.

Kit Materials

calculator, colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler

Household Materials

pencil

Expressions and Equations Unit

Unit Overview

In this unit, your learner is introduced to the terms variable, coefficient, solution and other important vocabulary associated with algebra. They use the terms to analyze and write expressions. They find solutions for linear equations in one variable and simple equations that include exponents.

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 is a variable?

Does it matter what letter you use for a variable?

What do you like about algebra concepts?

Unit Notables

In this unit, your learner makes a leap from numerical problems to ones that have a variable to represent an unknown. Encourage your learner to read and explain equations and expressions they write so that they get comfortable with letters being part of their math problems.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler, sticky notes

Household Materials

pencil

Unit Overview

In this unit, your learner is introduced to the terms variable, coefficient, solution and other important vocabulary associated with algebra. They use the terms to analyze and write expressions. They find solutions for linear equations in one variable and simple equations that include exponents.

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 is a variable?

Does it matter what letter you use for a variable?

What do you like about algebra concepts?

Unit Notables

In this unit, your learner makes a leap from numerical problems to ones that have a variable to represent an unknown. Encourage your learner to read and explain equations and expressions they write so that they get comfortable with letters being part of their math problems.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler, sticky notes

Household Materials

pencil

Rational Numbers Unit

Unit Overview

In this unit, your learner will understand and use the words positive and negative and other vocabulary terms that classify numbers. Your learner will graph inequalities on a number line, and two-variable relationships on a coordinate plane. They will use equations and inequalities to solve math and real-world problems.

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 is an inequality? What makes it different from an equation?

What makes graphing on a number line different from graphing on a coordinate plane?

What did you find most challenging in this unit?

Unit Notables

In this unit, your learner will be graphing to show solutions to problems. Have them choose a graph frequently during this unit and explain what the graph includes, what it means, and what answer it gives to a problem.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler, patty paper, two-color counters

Household Materials

pencil

Unit Overview

In this unit, your learner will understand and use the words positive and negative and other vocabulary terms that classify numbers. Your learner will graph inequalities on a number line, and two-variable relationships on a coordinate plane. They will use equations and inequalities to solve math and real-world problems.

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 is an inequality? What makes it different from an equation?

What makes graphing on a number line different from graphing on a coordinate plane?

What did you find most challenging in this unit?

Unit Notables

In this unit, your learner will be graphing to show solutions to problems. Have them choose a graph frequently during this unit and explain what the graph includes, what it means, and what answer it gives to a problem.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, ruler, patty paper, two-color counters

Household Materials

pencil

Data Sets and Distribution Unit

Unit Overview

In this unit, your learner will study data about populations and study variables associated with population. They understand and use terms such as numerical data, categorical data, survey, and frequency. They will make and interpret histograms, bar graphs, box plots and frequency tables to analyze and solve problems.

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 do graphs tell a story?

Can you tell the same story with different kinds of graphs?

What did you like about this unit?

Unit Notables

In this unit, your learner will be exploring data that represents problem situations. Look for examples of graphs that you might have in books or resources in your home or in your community. Choose graphs from lessons in the unit and discuss what story or problem they tell.

Kit Materials

colored pencils, deck of playing cards, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, measuring tape, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner will study data about populations and study variables associated with population. They understand and use terms such as numerical data, categorical data, survey, and frequency. They will make and interpret histograms, bar graphs, box plots and frequency tables to analyze and solve problems.

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 do graphs tell a story?

Can you tell the same story with different kinds of graphs?

What did you like about this unit?

Unit Notables

In this unit, your learner will be exploring data that represents problem situations. Look for examples of graphs that you might have in books or resources in your home or in your community. Choose graphs from lessons in the unit and discuss what story or problem they tell.

Kit Materials

colored pencils, deck of playing cards, dry erase board, dry erase flashcards, dry erase markers, inch squares, Math Notebook, measuring tape, ruler

Household Materials

pencil