CED UNIT 4: PROBABILITY, RANDOM VARIABLES, AND PROBABILITY DISTRIBUTIONS
Chapter 5: Probability
Day Stats Medic
CED Topic
TPS Content Learning Targets Students will be able to …
Suggested Assignment
(MC bold)
Materials needed for in-
class Digital Resources Digital Resources
1
Randomness and Probability
TOPIC 4.3
Chapter 5 Introduction, 5.1 The Idea
of Probability
· Interpret probability as a long-run relative frequency.
1, 3, 5, 7 None
Free Throw
Shooter applet Desmos Activity Google Slide
2
Simulation
TOPIC 4.2
5.1 Simulation
· Use simulation to model a random process.
9, 11, 15, 21, 23–28 Die, poster paper, dot stickers
One Quantitative
Variable, Single
Group applet Desmos Activity Desmos Activity 2 Google Slide Soda Activity
3
Probability Rules
TOPIC 4.3 - 4.5
5.2 Probability Models, Basic
Probability Rules
· Give a probability model for a random process with equally
likely outcomes and use it to find the probability of an event.
31, 33, 35, 37, 39 Pair of Dice
Desmos Activity
Desmos Activity The Last Banana Google Slide The Last Banana
· Use basic probability rules, including the complement rule
and the addition rule for mutually exclusive events. Desmos Activity The Last Banana
4
General Addition Rule
TOPIC 4.6
5.3 What Is Conditional Probability?,
Conditional Probability and
Independence, The General
Multiplication Rule
· Use a two-way table or Venn diagram to model a random
process and calculate probabilities involving two events (from
Lesson 5.2).
61, 63, 65, 67, 69, 71, 77,
79 None
Two Categorical
Variables
Desmos Taco
Tongue
· Calculate and interpret conditional probabilities.
· Determine whether two events are independent.
7
Conditional Probability and Tree
Diagrams
TOPIC 4.5
5.3 Tree Diagrams and Conditional
Probability, The Multiplication Rule
for Independent Events
· Use the general multiplication rule to calculate probabilities.
81, 83, 87, 89, 91, 93, 99,
103–106 5 cards
Desmos Activity
· Use a tree diagram to model a random process involving a
sequence of outcomes and to calculate probabilities.
· When appropriate, use the multiplication rule for
independent events to calculate probabilities. GeoGebra simulator Google Slides Code created by a student
8
Quiz 5.3
Chapter 5 Review Exercises
9
Chapter 5 Review
Chapter 5 Review/FRAPPY! Study None
Google Slides
10
Chapter 5 Test
Chapter 5 Test
Probability
Strategies Google
Slides
"Or" versus
"And" Google
Slides
Mutally
Exclusive
versus
Independent
Events Google
Slides
Chapter 6: Random Variables
Day Stats Medic
CED Topic
TPS Content Learning Targets Students will be able to …
Suggested Assignment
(MC bold)
Materials needed for in-
class
Resources for
teaching online
Resources for
teaching online
Resources for
teaching online
1
Discrete Random Variables
TOPIC 4.8
Chapter 6 Introduction, 6.1 Discrete
Random Variables, Analyzing Discrete
Random Variables: Describing Shape,
Measuring Center: The Mean
(Expected Value) of a Discrete
Random Variable
· Use the probability distribution of a discrete random
variable to calculate the probability of an event.
1, 3, 5, 7, 9, 11 None
One Quantitative
Variable, Single
Group applet
Discrete Random
Variables
One Quantitative
Variable, Single
Group applet
(COLLABORATIVE)
· Make a histogram to display the probability distribution of a
discrete random variable and describe its shape.
· Calculate and interpret the mean (expected value) of a
discrete random variable. Google Slides Desmos Activity
2
Continuous Random Variables
TOPIC 4.8
6.1 Measuring Variability: The
Standard Deviation (and Variance) of
a Discrete Random Variable,
Continuous Random Variables
· Calculate and interpret the standard deviation of a discrete
random variable.
13, 19, 21, 23, 27, 29, 31–
34 Wage Cards
Discrete Random
Variables Normal Distributions
· Use the probability distribution of a continuous random
variable (uniform or Normal) to calculate the probability of an
event. Google Slides Desmos Activity
3
Transforming Random Variables
TOPIC 4.9
6.2 Transforming a Random Variable
· Describe the effect of adding or subtracting a constant or
multiplying or dividing by a constant on the probability
distribution of a random variable.
37, 39, 41, 43, 47
Google Slides Desmos Activity
4
Combining Random Variables
TOPIC 4.9 and 5.2
6.2 Combining Random Variables,
Standard Deviation of the Sum or
Difference of Two Random Variables,
Combining Normal Random Variables
· Calculate the mean and standard deviation of the sum or
difference of random variables
49, 51, 55, 57, 59, 65, 67,
73–74
Google Slides
· Find probabilities involving the sum or difference of
independent Normal random variables. Desmos Activity
5
Quiz 6.1 - 6.2
6
Binomial Distributions Day 1
TOPIC 4.10 - 4.11
6.3 Binomial Settings and Binomial
Random Variables, Calculating
Binomial Probabilities
· Determine whether the conditions for a binomial setting are
met.
77, 79, 81, 83, 85, 89
YouTube clip Desmos
· Calculate and interpret probabilities involving binomial
distributions. Google Slides Desmos Activity
7
Binomial Distributions Day 2
TOPIC 4.11
6.3 Describing a Binomial
Distribution: Shape, Center, and
Variability
· Determine whether the conditions for a binomial setting are
met.
91, 93, 95, 99, 101, 103,
105, 106, 117
Binomial
Distributions Counting Methods
· Calculate the mean and standard deviation of a binomial
random variable. Interpret these values. Google Slides Desmos Activity
8
Binomial Distributions Day 3
TOPIC 4.11
6.3 Binomial Distributions in
Statistical Sampling, The Normal
Approximation to Binomial
Distributions
· Calculate and interpret probabilities involving binomial
distributions.
Skittles
Binomial
Distributions Normal Distributions
Normal
Approximation to
Binomial
Distributions
· When appropriate, use the Normal approximation to the
binomial distribution to calculate probabilities. Google Slides Desmos Activity
9
Geometric Distributions
TOPIC 4.12
6.3 Geometric Random Variables
· Calculate and interpret probabilities involving geometric
random variables.
107, 109, 111, 113, 115–
119 Water bottles, die
YouTube clip Desmos Activity
· Calculate the mean and standard deviation of a geometric
distribution. Interpret these values. Google Slides
10
Quiz 6.3
Chapter 6 Review
Exercises
11
Chapter 6 Review
Chapter 6 Review/FRAPPY! Study
12
Chapter 6 Test
Chapter 6 Test