Math 8 Math Learning Coach Guide

Learning Coach Guide

Contents

Rigid Transformations and Congruence Unit12

Dilations, Similarity, and Introducing Slope Unit13

Linear Relationships Unit14

Linear Equations and Linear Systems Unit15

Functions and Volume Unit16

Associations in Data Unit17

Exponents and Scientific Notation Unit18

Pythagorean Theorem & Irrational Numbers Unit19

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 8 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, ideas to help your learner if they get stuck, or safety tips.

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

Math 8 being a culmination of all of the skills and knowledge learners have accumulated in their elementary and middle years that will prepare them for high school math. By the end of the year, your learner will be able to:

explore and apply transformations that are rigid and preserve congruence;

explore and apply properties of dilation and similarity to build understanding of slope;

understand proportional relationships that connect to linear representations;

represent linear relationships in y=mx+b;

calculate and represent slopes of lines;

find and interpret solutions to linear equations;

solve linear equations in one and two variables;

explore function relationships in representations, tables, equations, and graphs;

connect volume of three-dimensional figures to functional relationships;

organize, plot, and make decisions based on data and data displays;

find associations within data and data displays;

observe patterns and trends in scatter plots;

explore exponent rules and scientific notation; and

use the Pythagorean Theorem to solve problems.

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.

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.

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 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

Rigid Transformations and Congruence Unit

Unit Notables

Your learner will use and further develop their knowledge of geometry, geometric measurement, and congruence. Your learner will use hands-on experiences to reinforce concepts and aid in the learning process.

Unit Discussion Questions

What did you learn about transformations?

What did you like most about this unit?

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Assessments

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

Unit Overview

In this unit, your learner uses the terms transformation and rigid transformation. They identify and describe translations, rotations, and reflections, and sequences of these, using the terms corresponding sides and corresponding angles, recognizing that lengths and angle measures are preserved.

Kit Materials

centimeter ruler, dry erase board, dry erase markers, inch ruler, Math Notebook, paper, scissors, tracing paper

Household Materials

eraser, pencil, scratch paper

Dilations, Similarity, and Introducing Slope Unit

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Assessments

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

Unit Overview

In this unit, your learner will understand and use the term dilation, and recognize that a dilation is determined by a point called the center and a number called the scale factor. They learn that under a dilation, the image of a circle is a circle, and they observe that the image of a line is a line parallel to the original.

Unit Discussion Questions

How can you find an equation for a line and determine its slope?

What did you like most about this unit?

Unit Notables

Your learner will explore graphing using pencil and graph paper as well as through using the GeoGebra tool to conduct digital explorations.

Kit Materials

centimeter ruler, dry erase board, dry erase markers, inch ruler, Math Notebook, paper, scissors, tracing paper

Household Materials

eraser, paper, pencil

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner will understand rate of change, linear relationship, and vertical intercept. They deepen their understanding of slope, and recognize connections among rate of change, slope, and constant of proportionality, and between linear and proportional relationships.

Unit Assessments

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

Unit Discussion Questions

In what ways can linear equations help you reason about real-world situations?

What did you find interesting or surprising in this unit?

What are you still working on?

Unit Notables

Your learner will use materials such as tracing paper, graph paper, colored pencils, scissors, ruler, and a protractor to give them opportunities to use appropriate math tools for problem-solving.

Kit Materials

centimeter ruler, colored pencils, dry erase board, dry erase markers, inch ruler, graph paper, Math Notebook, paper, protractor, scissors, tracing paper

Household Materials

eraser, paper, pencil

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner will write and solve linear equations in one variable. They learn that any one such equation is false, true for one value of the variable, or true for all values of the variable.

Unit Assessments

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

Unit Discussion Questions

What strategies can be used to balance equations?

What did you find interesting about the real-world situations or math-related careers in this unit?

What did you like about this unit?

Unit Notables

In this unit, your learner will solve linear equations that represent real-world situations, including connections to careers.

Kit Materials

dry erase board, dry erase markers, Math Notebook, ruler, scissors

Household Materials

eraser, pencil, paper

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner is introduced to the idea of a function. They learn to understand and use the terms input, output, and function. They describe functions as increasing or decreasing between specific number inputs, and consider the inputs to be values of an independent variable and outputs to be values of a dependent variable.

Unit Assessments

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

Unit Discussion Questions

Can you explain the story or context told by the graph of a function?

What did you find most challenging about this unit?

Unit Notables

In this unit, your learner will study volumes of three-dimensional objects, including objects that they see around their home or in their community.

Kit Materials

dry erase board, dry erase markers, Math Notebook, ruler, scissors

Household Materials

eraser, paper, pencil

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner will create and work with data sets that have variability. They learn to understand and use the terms scatter plot and association, and describe associations as positive or negative and linear or non-linear.

Unit Assessments

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

Unit Discussion Questions

Can you describe the meaning of a scatter plot in context?

What did you enjoy most about this unit?

Unit Notables

In this unit, your learner will work with scatter plots that show how two different variables or characteristics are related. They will graph using pencil and paper as well as explore plots using GeoGebra digital exploration activities.

Kit Materials

Dry Erase Board, Dry Erase Markers, Math Notebook, Measuring Tape, Ruler

Household Materials

eraser, paper, pencil, string

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner builds upon the definition of exponents in Math 6 to include all integers, and in the process make sense of the properties of exponents. They learn about orders of magnitude and scientific notation in order to represent and compute with very large and very small quantities.

Unit Assessments

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

Unit Discussion Questions

In what ways can you use scientific notation to compare different amounts and answer questions about real-world situations?

What are you still working on?

Unit Notables

In this unit, your learner will explore connections to science as they write very large and very small numbers using scientific notation.

Kit Materials

dry erase board, dry erase markers, Math Notebook

Household Materials

eraser, paper, pencil

Quiz _____________________________

Quiz ___________________________

Test _____________________________

Test ___________________________

Assignment ____________________

Assignment __________________

Project _________________________

Project _______________________

Exam ___________________________

Exam _________________________

Unit Overview

In this unit, your learner works with geometric and symbolic representations of square and cube roots. They explore the terms rational number and irrational number, using long division to write fractions as decimals. They use their understanding of fractions to plot rational numbers on the number line.

Unit Assessments

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

Unit Discussion Questions

Can you explain what a square and a cube root is?

What did you find interesting about this unit?

Unit Notables

In this unit, your learner will be introduced to the Pythagorean Theorem which has many applications to construction, art, and science.

Kit Materials

calculator, colored pencils, dry erase board, dry erase markers, Math Notebook, tracing paper, scissors

Household Materials

eraser, paper, pencil