Math 7 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 7 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 7, 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.

See example below.

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.

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. These graded assignments allow your learner to show what they have learned and apply their new skills. All CCA assignments include these components.

• 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.
• 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.
• 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.
• 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 a free online scientific, graphing, or CAS calculator and virtual math interactives. Learners may use the GeoGebra calculators or interactives to solve problems or produce graphical representations as needed.  

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 the online lessons. 

Part C:
Unit Information

Scale Drawings Unit

Unit Overview

In this unit, your learner will be introduced to and use the terms involving scale to recognize when two pictures or plane figures are or are not scaled copies of each other. They use tables to reason about measurements in scaled copies, and make, interpret and reason about scale drawings.

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 scale have to do with math?

What did you like about this unit?

What was the most interesting thing you learned in this unit?

Unit Notables

Your learner will be analyzing real-world situations involving scaled copies and scale drawings. Some of these situations involve maps and floor plans. Discuss scale drawing with them and if maps or floor plans in your home or community are available, take time to explore.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, pattern blocks, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner will be introduced to and use the terms involving scale to recognize when two pictures or plane figures are or are not scaled copies of each other. They use tables to reason about measurements in scaled copies, and make, interpret and reason about scale drawings.

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 scale have to do with math?

What did you like about this unit?

What was the most interesting thing you learned in this unit?

Unit Notables

Your learner will be analyzing real-world situations involving scaled copies and scale drawings. Some of these situations involve maps and floor plans. Discuss scale drawing with them and if maps or floor plans in your home or community are available, take time to explore.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, pattern blocks, ruler

Household Materials

pencil

Introducing Proportional Relationships Unit

Unit Overview

In this unit, your learner is going to be using the terms proportional, constant of proportionality, and proportional relationship to describe relationships. They represent proportional relationships with tables, equations, and graphs. They reason about situations that involve constant speed, unit pricing, and measurements.

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 tables, equations and graph show you whether a problem shows a proportional relationship or not?

What are you still working on?

What did you find interesting about this unit?

Unit Notables

Your learner will be analyzing proportional relationships for several real-world situations. Have them choose a situation from the lessons and describe what they notice, how they set up a proportion, and how they use a proportion to solve the problem.

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 is going to be using the terms proportional, constant of proportionality, and proportional relationship to describe relationships. They represent proportional relationships with tables, equations, and graphs. They reason about situations that involve constant speed, unit pricing, and measurements.

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 tables, equations and graph show you whether a problem shows a proportional relationship or not?

What are you still working on?

What did you find interesting about this unit?

Unit Notables

Your learner will be analyzing proportional relationships for several real-world situations. Have them choose a situation from the lessons and describe what they notice, how they set up a proportion, and how they use a proportion to solve the problem.

Kit Materials

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

Household Materials

pencil

Measuring Circles Unit

Proportional Relationships and Percentages Unit

Unit Overview

In this unit, your learner will use ratios, scale factors, unit rates, and proportional relationships to solve real-world problems that require more than one step to solve. They learn about different kinds of decimals, such as terminating or repeating. They explore measurement error and how it relates to real-world situations.

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 a terminating decimal and a repeating decimal? Why is there more than one type of decimal?

What are you still working on?

Unit Notables

In this unit, your learner will be doing lots of calculations involving decimals. Encourage your learner to use a calculator when appropriate, but keeping in mind that they need to know how to read decimal numbers, especially repeating ones, from their calculator display.

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 will use ratios, scale factors, unit rates, and proportional relationships to solve real-world problems that require more than one step to solve. They learn about different kinds of decimals, such as terminating or repeating. They explore measurement error and how it relates to real-world situations.

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 a terminating decimal and a repeating decimal? Why is there more than one type of decimal?

What are you still working on?

Unit Notables

In this unit, your learner will be doing lots of calculations involving decimals. Encourage your learner to use a calculator when appropriate, but keeping in mind that they need to know how to read decimal numbers, especially repeating ones, from their calculator display.

Kit Materials

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

Household Materials

pencil

Rational Number Arithmetic Unit

Unit Overview

In this unit, your learner will interpret signed numbers in real-world contexts such as temperature, elevation, and banking. They use tables and number line diagrams to represent sums and differences of signed numbers They will also plot points in the coordinate plane that include positive and negative numbers.

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

Why does the coordinate plane have four sections or quadrants?

What do you like about this unit?

Unit Notables

Encourage your learner to use the gridded side of their dry erase board when they are setting up and solving problems that require graphs. They can easily modify their work and there is space along the side and bottom to number the squares for counting.

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 will interpret signed numbers in real-world contexts such as temperature, elevation, and banking. They use tables and number line diagrams to represent sums and differences of signed numbers They will also plot points in the coordinate plane that include positive and negative numbers.

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

Why does the coordinate plane have four sections or quadrants?

What do you like about this unit?

Unit Notables

Encourage your learner to use the gridded side of their dry erase board when they are setting up and solving problems that require graphs. They can easily modify their work and there is space along the side and bottom to number the squares for counting.

Kit Materials

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

Household Materials

pencil

Expressions, Equations, and Inequalities Unit

Unit Overview

In this unit, your learner will be solving equations that require one or more steps to solve. They will draw, interpret, and write equations. Your learner will solve equations and inequalities using number lines as well as algebraic methods. They will 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 the difference between an equation and an inequality?

What do you like about algebra concepts?

What did you find surprising or interesting in this unit?

Unit Notables

In this unit, your learner will be solving real-world situations that use equations and inequalities. Encourage them to show you a problem situation that interests them and discuss how they solved it.

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 will be solving equations that require one or more steps to solve. They will draw, interpret, and write equations. Your learner will solve equations and inequalities using number lines as well as algebraic methods. They will 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 the difference between an equation and an inequality?

What do you like about algebra concepts?

What did you find surprising or interesting in this unit?

Unit Notables

In this unit, your learner will be solving real-world situations that use equations and inequalities. Encourage them to show you a problem situation that interests them and discuss how they solved it.

Kit Materials

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

Household Materials

pencil

Angles, Triangles, and Prisms Unit

Unit Overview

In this unit, your learner will investigate angles and side lengths to determine if they form a triangle. They study and apply angle relationships, using appropriate vocabulary terms. They also analyze and describe three-dimensional figures and solve problems involving volume, area, and surface area.

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 did you learn about triangles? Are they all alike?

What are you still working on?

Unit Notables

In this unit, your learner will be describing two- and three-dimensional figures. Encourage them to use the dry erase flashcards to help with their vocabulary learning as there are several terms and formulas used in this unit.

Kit Materials

calculator, colored pencils, compass, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, pattern blocks, protractor, ruler, two-color counters

Household Materials

pencil

Unit Overview

In this unit, your learner will investigate angles and side lengths to determine if they form a triangle. They study and apply angle relationships, using appropriate vocabulary terms. They also analyze and describe three-dimensional figures and solve problems involving volume, area, and surface area.

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 did you learn about triangles? Are they all alike?

What are you still working on?

Unit Notables

In this unit, your learner will be describing two- and three-dimensional figures. Encourage them to use the dry erase flashcards to help with their vocabulary learning as there are several terms and formulas used in this unit.

Kit Materials

calculator, colored pencils, compass, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, pattern blocks, protractor, ruler, two-color counters

Household Materials

pencil

Probability and Sampling Unit

Unit Overview

In this unit, your learner will use the terms event, sample space, experiment, and probability. They will design and use simulations to estimate probabilities of outcomes of change experiments. They will calculate mathematical probability and show possibilities using tables and tree diagrams.

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 an experiment use math?

How do the topics in this unit relate to sport, games, and other real-world situations?

What did you like about this unit?

Unit Notables

In this unit, your learner will be exploring situations involving probability. Some situations will be experiments they will do with materials in their Math Kit. Ask your learner how they determine which materials to use, how to describe the results, and how to answer the questions being asked.

Kit Materials

calculator, colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, number cubes, paper clips, protractor, ruler, snap cubes, spinners

Household Materials

pencil, scissors

Unit Overview

In this unit, your learner will use the terms event, sample space, experiment, and probability. They will design and use simulations to estimate probabilities of outcomes of change experiments. They will calculate mathematical probability and show possibilities using tables and tree diagrams.

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 an experiment use math?

How do the topics in this unit relate to sport, games, and other real-world situations?

What did you like about this unit?

Unit Notables

In this unit, your learner will be exploring situations involving probability. Some situations will be experiments they will do with materials in their Math Kit. Ask your learner how they determine which materials to use, how to describe the results, and how to answer the questions being asked.

Kit Materials

calculator, colored pencils, dry erase board, dry erase flashcards, dry erase markers, Math Notebook, number cubes, paper clips, protractor, ruler, snap cubes, spinners

Household Materials

pencil, scissors