Statistics Learning Coach Guide

Statistics

Learning Coach Guide

Contents

Part C Unit Information12

Exploring One-Variable Data Unit13

Collecting Data Unit14

Two-Variable Data and Probability Unit15

Inference for Categorical Data: Proportions Unit17

Inference for Categorical Data: Chi-Square Unit18

Inference for Quantitative Data: Means Unit19

Regression Analysis Unit20

Part AWelcome to Statistics

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 Statistics 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, 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 BCourse Information

Course Goals

In Statistics, your learner will:

cultivate an understanding to select methods for collecting and/or analyzing data for statistical inference;

clearly describe patterns, trends, associations, and relationships in data;

explore random phenomena using probability and simulation; and

develop an explanation or a conclusion using evidence from data, definitions, or statistical inference.

Course Format

Lesson Components:

Each day, your learner will spend approximately 50–60 minutes completing a Statistics 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 needed.

This section will help you to understand how your learner’s course is structured in edio.

Lesson Bundling:

A lesson bundle is a collection of lessons that stack up to equal one full class period. On some days, learners will see bundles, such as a Knowledge Check and the daily lesson, or the combination of a Quiz Review and a Quiz.

In math, learners will see a specific bundle of lessons within one day.

Within the lesson bundles, there are different components that your learner will interact with. These components will not be used every day.

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.

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.

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.

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.

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 are presented in the Discover section. Your learner will interact with the lesson content through defined vocabulary terms, videos, audio, and Pause and Think activities. Your learner will be able to practice and answer questions as they work through the lesson.

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

Summary: This section recaps the day’s objectives and prepares learners for a future lesson or assessment.

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

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 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 the quiz.

Quiz: A quiz may be given within or at the end of a topic.

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 at the end of a unit.

Course Features

This course includes and uses unique features such as:

TI–84+ Calculator: This course empowers learners to become frequent users of TI–84+ calculator tools. TI–84+ calculator applications are integrated into the course to allow learners to practice translating the technology output into appropriate statistical language.

Microsoft® Excel®: Learners will use Microsoft® Excel® to calculate statistics and generate graphical representations. Tutorials provided in the course will guide learners in developing the necessary Microsoft® Excel® skills.

GeoGebra Interactive Activities: This is a digital math tool learners can use to access a free online scientific, graphing, or CAS calculator and virtual math interactives. Learners will use the GeoGebra calculator and interactives to solve problems and produce graphical representations as needed.

Lesson Companion: This course utilizes a framework of notes for learners to complete while exploring each lesson. Learners will be able to keep track of the concepts and vocabulary learned in the lesson and use the companion as an effective study guide for this course and future math courses.

Part CUnit Information

Exploring One-Variable Data Unit

Unit Overview

In this unit, your learner will investigate the role of research to answer questions in the real world. They will identify the components of research studies. Your learner will also create tables, graphs, and statistics to describe and/or compare collected or provided data.

Unit Assessments

Quiz ___________________________

Test ___________________________

Assignment __________________

Project _______________________

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

Unit Discussion Questions

Why do people use statistical studies, and what can they help you learn?

How can you collect and organize data to discover useful information about real-world situations?

How can you use numbers and graphs to compare different sets of data and understand what they mean?

Unit Notables

Your learner cannot realistically collect data on everything, but data can be collected on a smaller sample, and mathematical predictions can be used. To make sure predictions are effective and accurate, your learner must carefully consider how and what to sample.

Kit Materials

colored pencils, TI-84+ calculator

Household Materials

none

Collecting Data Unit

Unit Overview

In this unit, your learner will explore the components and use of observational studies and experiments. They will consider the role that randomness plays in research studies through random selection and assignment. Learners will identify challenges in conducting research and develop strategies to avoid bias while systematically creating quality research approaches. Learners will interpret the findings of research studies in relation to their real-world scenarios.

Unit Assessments

Quiz ___________________________

Test ___________________________

Assignment __________________

Project _______________________

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

ply.

Unit Discussion Questions

What surprised you about your sample?

When does the data represent a population?

When does the data not represent a population?

Unit Notables

Remind your learner that they are trying to use a small sample of the total population to make a prediction about the population. If your learner chooses a sample correctly, it will help to make accurate predictions.

Kit Materials

colored pencils, TI-84+ calculator

Household Materials

none

Two-Variable Data and Probability Unit

Unit Overview

In this unit, your learner will focus on two key concepts. The first topic they will consider is using tables, graphs, and statistics to compare two or more variables. Then, learners will explore probability concepts to describe the likelihood of events. They will use visual models, formulas, and probability rules to calculate the probability of one or more events occurring.

build an understanding of simulated or empirical data distributions and fundamental principles of probability to represent, interpret, and calculate parameters for theoretical probability distribution for discrete random variables.

Unit Assessments

Quiz ___________________________

Test ___________________________

Assignment __________________

Project _______________________

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

Unit Discussion Questions

How would you use these concepts in your everyday life?

What did you find the most interesting in this unit?

What do you need to work on to prepare for the unit test?

Unit Notables

Graphical and tabular representations of two-variable data can be used to observe relationships between the two variables more clearly.

If your learner flips a quarter 100 times, they would expect it to land on heads about 50 times, which is theoretical. However, it might actually land on heads 51 times, or 52 times, which is experimental.

Kit Materials

colored pencils, graph paper, TI-84+ calculator

Household Materials

none

Random Variables and Probability Distributions

Unit Overview

In this unit, your learner will explore discrete and continuous probability distributions, distinguishing between binomial, geometric, and normal distributions. They will calculate parameters and probabilities related to each distribution. Learners will also develop an understanding of sampling distributions and how they relate to the central limit theorem.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

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

Unit Discussion Questions

What do you find most challenging about sampling distributions? Why?

How can you use population samples to draw conclusions about a larger population?

Unit Notables

Your learner will discover how studying a sample can help them make predictions about a larger group. They will learn how the central limit theorem supports these predictions, helping them express how confident they are in their results.

Kit Materials

colored pencils, TI-84+ calculator

Household Materials

none

Inference for Categorical Data: Proportions Unit

Unit Overview

In this unit, your learner will explore sampling distributions of sample proportions and analyze how to determine if it is approximately normal. They will be introduced to confidence intervals and hypothesis testing for population proportions. Learners will calculate confidence intervals and p–values to make decisions and interpret information about the populations they describe in the real world.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

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

Unit Discussion Questions

How do you make predictions in everyday life?

How can you construct, interpret, and make claims from a confidence interval?

What did you find the easiest to do and the most challenging in this unit?

Unit Notables

Empirical data varies, so your learner can never really be 100 percent sure that their prediction will be accurate. But your learner can say that they are confident that 90 percent of the population falls within certain criteria.

In conducting hypothesis testing, the null hypothesis represents no change or maintaining the status quo.

Kit Materials

colored pencils, graph paper, TI-84+ calculator

Household Materials

none

Inference for Categorical Data: Chi-Square Unit

Unit Overview

In this unit, your learner will explore chi-square tests and how they are used to analyze categorical data. They will learn to distinguish between observed and expected counts and how to apply the values to the different chi-square tests. Learners will use degrees of freedom to calculate test statistics and p–values. They will choose the appropriate test for the given scenario and interpret the results in the context of the real world.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

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

Unit Discussion Questions

How is the chi-square distribution affected by sample size?

How do you know when to apply a chi-square test or chi-square confidence interval to a real-world scenario?

Unit Notables

Your learner will explore how chi-square tests determine if a distribution is a good fit. These tests help your learner determine if the predicted values, such as the amount of rainfall expected, are good predictors of the actual values.

Kit Materials

colored pencils, TI-84+ calculator

Household Materials

none

Inference for Quantitative Data: Means Unit

Unit Overview

In this unit, your learner will explore inference methods for quantitative data using sampling distributions, confidence intervals, and hypothesis testing. They will determine whether the sampling distribution of a sample mean is approximately normal, a necessary condition for conducting inference. Learners will verify the required conditions, calculate standard errors, margins of error, and construct confidence intervals for one- and two-sample means. Additionally, they will conduct hypothesis tests and apply statistical methods to analyze population means in various real-world scenarios.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

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

Unit Discussion Questions

What did you learn in this unit that was

completely unexpected?

Why is it inappropriate to accept a hypothesis as true based on the results

of statistical inference testing?

Unit Notables

Hypothesis tests tell your learner where a value lives under the curve. From there, your learner can find out if the statement (hypothesis) is true or not.

Kit Materials

colored pencils, index cards, TI-84+ calculator

Household Materials

Blank paper

Regression Analysis Unit

Unit Overview

In this unit, your learner will investigate the relationship between two quantitative variables. They will create and interpret scatterplots and analyze the characteristics of the correlation of the relationship between the variables. Learners will construct linear regression models and residual plots to interpret the trend of the data, and apply the context of the real-world scenario to their conclusions.

Unit Assessments

Quiz _________________________

Test _________________________

Assignment ________________

Project _____________________

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

Unit Discussion Questions

How can you tell if a linear model is the best choice? How do you explain what the model means in a real-world situation?

If two variables have a strong correlation, how can you determine whether one is causing the other or if something else might be influencing both?

Unit Notables

When it comes to comparing two things mathematically, it will be helpful for your

learner to determine if the two things are connected in a predictable way.

Kit Materials

colored pencils, graph paper, ruler, TI-84+ calculator

Household Materials

none