Honors Math 4 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 Honors Math 4 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.
• Look for Learning Coach Notes in the course. These are special messages to provide you with information about an activity or topic.
• 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 Math 4, your learner continues to develop their understanding and fluency with multiplication, division, fraction concepts and operations, geometric figures and properties, and using data to make decisions. By the end of the year, your learner will be able to:

• apply understanding of multiplication and area to work with factors and multiples;
• generate and reason about equivalent fractions and compare and order fractions;
• learn to add and subtract fractions with like denominators, and to add and subtract tenths and hundredths;
• read, write and compare numbers in decimal notation;
• interpret, represent, and solve multiplicative comparison problems using an understanding of the relationship between multiplication and division;
• multiply and divide multi-digit whole numbers using partial products and partial quotients strategies, and apply this understanding to solve multi-step problems using the four operations;
• learn to draw and identify points, rays, segments, angles, and lines, including parallel and perpendicular lines.
• use a protractor to measure angles and draw angles of given measurements, and identify acute, obtuse, right, and straight angles in two-dimensional figures;
• classify triangles and quadrilaterals based on the properties of their side lengths and angles;
• to solve problems, including problems involving perimeter and area; and
• organize, display, and interpret data.

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.

See 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 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.

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.

Wrap Up: This section recaps the day’s objectives and notifies learners of a future lesson or assessment.

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.

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

Part C:
Unit Information

Factors and Multiples Unit

Unit Overview

In this unit, your learner will investigate factors and multiples and apply their understanding of the area of rectangles. They will also determine if a number between 1 and 100 is prime or composite.

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 factors related to multiples?

How do you decide if a number is prime or composite?

What did you like about this unit?

Unit Notables

Help your learner practice identifying prime and composite numbers. Give them random numbers and ask them to tell you whether it is prime or composite and why.

Kit Materials

centimeter cubes, coin kit, colored pencils, connecting cubes, dry erase board, dry erase markers, gluestick, inch tiles, Math Activity Book, plastic sleeve, ruler, two-color counters

Household Materials

pencil

Unit Overview

In this unit, your learner will investigate factors and multiples and apply their understanding of the area of rectangles. They will also determine if a number between 1 and 100 is prime or composite.

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 factors related to multiples?

How do you decide if a number is prime or composite?

What did you like about this unit?

Unit Notables

Help your learner practice identifying prime and composite numbers. Give them random numbers and ask them to tell you whether it is prime or composite and why.

Kit Materials

centimeter cubes, coin kit, colored pencils, connecting cubes, dry erase board, dry erase markers, gluestick, inch tiles, Math Activity Book, plastic sleeve, ruler, two-color counters

Household Materials

pencil

Fraction Equivalence and Comparison Unit

Unit Overview

In this unit, your learner deepens their knowledge of fractions. They explore the size of fractions, write equivalent fractions, and compare and order 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

Compare two fractions. How are the two fractions alike? How are they different?

What strategy did you use to compare?

What are you still working on?

Unit Notables

Writing equivalent fractions is a key skill for success in this unit. Have your learner practice writing 2 or 3 equivalent fractions for a given fraction. You can make a game out of it using a dot cube to determine the numerator and denominator and then write the equivalent fractions.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, gluestick, Math Activity Book, paper clips, plastic sleeve, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner deepens their knowledge of fractions. They explore the size of fractions, write equivalent fractions, and compare and order 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

Compare two fractions. How are the two fractions alike? How are they different?

What strategy did you use to compare?

What are you still working on?

Unit Notables

Writing equivalent fractions is a key skill for success in this unit. Have your learner practice writing 2 or 3 equivalent fractions for a given fraction. You can make a game out of it using a dot cube to determine the numerator and denominator and then write the equivalent fractions.

Kit Materials

colored pencils, dry erase board, dry erase flashcards, dry erase markers, gluestick, Math Activity Book, paper clips, plastic sleeve, ruler

Household Materials

pencil

Extending Operations to Fractions Unit

Unit Overview

In this unit, your learner extends what they know about composing (put together) and decomposing (take apart) to fractions. Your learner begins to learn about adding, subtracting, and multiplying 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 did you know which fractions are needed for the equation?

How could you solve a fraction problem in a different way?

What are you still working on?

Unit Notables

A common error that learners make when adding fractions is adding both the numerators and denominators. Using measuring spoons, you can show adding fractions and talk through the process of adding portions like one fourth and one fourth is two fourths, not two eighths.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, paper clips, plastic sleeve, sticky notes

Household Materials

pencil

Unit Overview

In this unit, your learner extends what they know about composing (put together) and decomposing (take apart) to fractions. Your learner begins to learn about adding, subtracting, and multiplying 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 did you know which fractions are needed for the equation?

How could you solve a fraction problem in a different way?

What are you still working on?

Unit Notables

A common error that learners make when adding fractions is adding both the numerators and denominators. Using measuring spoons, you can show adding fractions and talk through the process of adding portions like one fourth and one fourth is two fourths, not two eighths.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, paper clips, plastic sleeve, sticky notes

Household Materials

pencil

From Hundredths to Hundred-Thousands Unit

Unit Overview

In this unit, your learner expresses small and large numbers from hundredths to hundred-thousands. They learn to write tenths and hundredths using decimal notation.

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 you find your answers to a place-value problem?

How could you solve the problem in a different way?

What did you like about this unit?

Unit Notables

Have your learner practice reading and describing the place values of large and small numbers. Have them draw a chart and explain it to you or use a chart provided in the Math Activity Book. The place values with this on the end are to the right of the decimal point.

Kit Materials

base-ten blocks, colored pencils, dry erase board, dry erase markers, Math Activity Book, plastic sleeve

Household Materials

pencil

Unit Overview

In this unit, your learner expresses small and large numbers from hundredths to hundred-thousands. They learn to write tenths and hundredths using decimal notation.

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 you find your answers to a place-value problem?

How could you solve the problem in a different way?

What did you like about this unit?

Unit Notables

Have your learner practice reading and describing the place values of large and small numbers. Have them draw a chart and explain it to you or use a chart provided in the Math Activity Book. The place values with this on the end are to the right of the decimal point.

Kit Materials

base-ten blocks, colored pencils, dry erase board, dry erase markers, Math Activity Book, plastic sleeve

Household Materials

pencil

Multiplicative Comparison and Measurement Unit

Unit Overview

In this unit, your learner will make sense of multiplication as a way to compare quantities. They use this understanding to convert units of measurements and to solve problems about measurement.

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

Can you write an equation that goes along with a story problem?

What was most challenging in this unit?

Unit Notables

Your learner will be working with different units of measure to solve problems. Encourage your learner to explain a problem situation and draw a diagram to show why the conversion of the measurements is correct.

Kit Materials

colored pencils, connecting cubes, dry erase board, dry erase flashcards, dry erase markers, Math Activity Book, number cubes, paper clips, pipe cleaners, plastic sleeve, ruler, yardstick

Household Materials

pencil

Unit Overview

In this unit, your learner will make sense of multiplication as a way to compare quantities. They use this understanding to convert units of measurements and to solve problems about measurement.

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

Can you write an equation that goes along with a story problem?

What was most challenging in this unit?

Unit Notables

Your learner will be working with different units of measure to solve problems. Encourage your learner to explain a problem situation and draw a diagram to show why the conversion of the measurements is correct.

Kit Materials

colored pencils, connecting cubes, dry erase board, dry erase flashcards, dry erase markers, Math Activity Book, number cubes, paper clips, pipe cleaners, plastic sleeve, ruler, yardstick

Household Materials

pencil

Multiplying and Dividing Multi-digit Numbers Unit

Unit Overview

In this unit, your learner deepens their understanding of multiplication and division and expand their ability to perform operations on multi-digit 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

Did you find drawing models helpful for solving problems? Why or why not?

Explain the steps of your algorithm you would use to solve a problem.

What are you still working on?

Unit Notables

Your learner has been making models in order to understand the algorithms (steps) to multiply and divide. Have them practice basic multiplication facts and make flashcards of the ones they struggle with. This will help them be successful in their solutions by algorithms.

Kit Materials

base-ten blocks, colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch tiles, Math Activity Book, patty paper, plastic sleeve, protractor, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner deepens their understanding of multiplication and division and expand their ability to perform operations on multi-digit 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

Did you find drawing models helpful for solving problems? Why or why not?

Explain the steps of your algorithm you would use to solve a problem.

What are you still working on?

Unit Notables

Your learner has been making models in order to understand the algorithms (steps) to multiply and divide. Have them practice basic multiplication facts and make flashcards of the ones they struggle with. This will help them be successful in their solutions by algorithms.

Kit Materials

base-ten blocks, colored pencils, dry erase board, dry erase flashcards, dry erase markers, inch tiles, Math Activity Book, patty paper, plastic sleeve, protractor, ruler

Household Materials

pencil

Angles, Measurement, and Two-Dimensional Shapes Unit

Unit Overview

In this unit, your learner will be introduced to new language for describing parts of geometric figures. They will practice identifying and drawing them. Your learner will describe angles, measure their size, and draw angles of different 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 you know a geometric figure is a particular shape?

How do you use a protractor to measure an angle?

What do you like about geometry topics?

Unit Notables

Encourage your learner to practice reading the names of the geometric figures they are making. They can even get creative and make a drawing using as many geometric figures as they can. Also, have your learner show you how to use a protractor to measure an angle.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, measuring tape, patty paper, plastic sleeve, protractor, ruler

Household Materials

pencil

Unit Overview

In this unit, your learner will be introduced to new language for describing parts of geometric figures. They will practice identifying and drawing them. Your learner will describe angles, measure their size, and draw angles of different 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 you know a geometric figure is a particular shape?

How do you use a protractor to measure an angle?

What do you like about geometry topics?

Unit Notables

Encourage your learner to practice reading the names of the geometric figures they are making. They can even get creative and make a drawing using as many geometric figures as they can. Also, have your learner show you how to use a protractor to measure an angle.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, measuring tape, patty paper, plastic sleeve, protractor, ruler

Household Materials

pencil

Representing and Interpreting Data Unit

Unit Overview

In this unit, your learner represents and interprets data on bar graphs and picture 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

What questions can you ask when looking at a data display?

What are you still working on?

Unit Notables

Have your learner choose problem situations from their lessons in the unit that are represented by graphs. Then, have them explain all the parts of the graph and show how to read pieces of information.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, plastic sleeve

Household Materials

pencil

Unit Overview

In this unit, your learner represents and interprets data on bar graphs and picture 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

What questions can you ask when looking at a data display?

What are you still working on?

Unit Notables

Have your learner choose problem situations from their lessons in the unit that are represented by graphs. Then, have them explain all the parts of the graph and show how to read pieces of information.

Kit Materials

colored pencils, dry erase board, dry erase markers, Math Activity Book, plastic sleeve

Household Materials

pencil