Page 1 - 2021-bfw-SPA-4e-TE-sample.indd

2

Modeling One-Variable

1-
Quantitative Data

(C) 2021 BFW Publishers -- for review purposes only.
Please read the Introduction to the Teacher’s Edition. The study of descriptive statistics begun in Chapters 1
It will help prepare you for teaching this course, as it and 2 will continue in Chapter 3, when relationships
includes a lot of helpful information and advice. between two variables are analyzed and modeled. The
same general approach developed in Chapters 1 and 2
The Big Picture will be used: organize the data, display the data graph-
ically, summarize the data numerically, and then model
Chapter 1 introduced fundamental tools for organizing, dis- the data if an appropriate model can be found. While the
playing, and summarizing data for a single variable. Data from first three chapters are all about describing observed data,
categorical variables were organized in frequency and relative later chapters in this book will explain how to collect data
frequency tables, displayed with bar charts (or pie charts), and properly, understand and employ randomness, interpret
summarized by calculating proportions. Data from quantitative probability, and make inferences and predictions about
variables were organized in lists or tables, displayed with dotplots larger groups of individuals based on a sample of those
(or stemplots or histograms or boxplots), and summarized by cal- individuals.
culating statistics that measured center and variability. Ultimately,
Chapter 1 was about describing a distribution of data for a single Pacing and Assignment Guide
variable. Chapter 2 takes the descriptive process one step further
and introduces density curves, which are mathematical models Two brief pacing guides are presented here for two types of
for distributions of data. Arguably the most important density courses: a 180-day course and a 90-day course. There are
curve—the normal density curve—is introduced in Chapter 2. “flex” days built into the schedule to allow for reteaching,
Mathematical models for distributions foreshadow a very big a quiz, teachers’ resource activities, or any interruptions in
idea in statistics: statistical inference. Statistical inference is the the school year. A more detailed 180-day pacing guide or
process of drawing conclusions about a population based on 90-day pacing guide can be found in the Teachers’ Resource
the data from a sample (subset) of that population. While we Materials. These more detailed pacing guides also offer
may have data on only a sample of students from our school, ideas for customizing the course to fit school years and class
we can imagine there is some larger pattern at work. periods of different lengths.

180 DAY PACING GUIDE

Day Lesson/Class Activity Suggested Assignment

1 2.1 Describing Location in a Distribution Ex. 7, 11, 15, 17, 21, 23, 28
2 2.2 Transforming Data* Ex. 5, 9, 13, 17, 23

3 2.3 Density Curves and the Normal Distribution Ex. 7, 11, 15, 19, 21, 25

4 Flex Day: Do an activity from the Teachers’ Resource Materials, practice using technology, do Optional assignment:
additional practice on, or reteach, difficult learning targets. 2.1 Ex. 22, 2.2 Ex. 18, 2.3 Ex. 20, 22
5 Lesson 2.1–2.3 Quiz None

6 2.4 The Empirical Rule and Assessing Normality Ex. 7, 11, 17, 21, 23, 27

2-2 CHAPTER 2 • Modeling One-Variable Quantitative Data

03_TysonTEspa4e_25177_ch02_088_153_4pp.indd 2 11/11/20 2:22 PM