Probability and Statistics
Focus: Statistical Analysis of Graphs and Problem Situations
The student will determine the probability of independent and dependent events with and without replacement. 


Essential Knowledge and Skills 
 Determine the probability of no more than three independent events.
 Determine the probability of no more than two dependent events without replacement.
 Compare the outcomes of events with and without replacement.

Essential Understandings 
 How are the probabilities of dependent and independent events similar? Different? If events are dependent then the second event is considered only if the first event has already occurred. If events are independent, then the second event occurs regardless of whether or not the first occurs.


Vertical Articulation 
 SOL 6.16ab  a) compare/contrast dep/indep events;
b) determine probabilities for dep/indep
events
 SOL 7.9  investigate/describe the difference
between the experimental/theoretical
probability

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Probability (PDF)  Determining the probability of independent and dependent events (Word)
 Notes: Probability (flipchart)
 Notes: Probability (pdf)
 Activity: Probability Grand Prix (doc)
 Activity: Probability Stations (doc)
 Activity: Event Sort (doc)
 Guided Notes: Probability of Events (doc)
 VDOE Algebra Readiness Curriculum Companion: Exploring Probability (pdf)

Real World Lessons 

Practice 
 Worksheet: Probability of Simple, Independent, and Dependent Events (doc)
 Multiple Choice Probability Problems (flipchart)
 Worksheet: Probability (doc)
 Worksheet: Probability (pdf)
 Worksheet: Probability  Dependent and Independent Events (pdf)
 Worksheet: Identify the Suitable Events (pdf)
 Worksheet: Probability of Balls in a Container (pdf)
 Worksheet: Independent/Dependent Events #1 (pdf)  Independent/Dependent Events #2 (pdf)

SelfAssessments 
 SOL 8.12 MiniQuiz: Probability

Skills 
 Mathematics Assessment Project: E06:Lottery  Expert  In this task, you must use math to decide whether a lottery idea will make money.

Videos 
 Learn Alberta: Exploring Probability and the Monte Carlo Method (Video Interactive)
 Virtual Nerd: Probability of Independent Events
 Brightstorm: Probability of Dependent Events

Explore
Learning 
 Compound Independent Events: Compare the theoretical and experimental probabilities of compound independent events by drawing colored marbles from a bag. Record the results of successive draws with replacement of marbles to calculate the experimental probability.
 Compound Independent and Dependent Events: Compare the theoretical and experimental probabilities of drawing colored marbles from a bag. Record results of successive draws to find the experimental probability. Perform the drawings with replacement of the marbles to study independent events, or without replacement to explore dependent events.
 Spin the Big Wheel! (Probability): Step right up! Spin the big wheel! Each spin can result in no prize, a small prize, or a big prize. The wheel can be spun by 1, 10, or 100 players. Results are recorded on a frequency table or a circle graph. You can also design your own wheel and a sign that describes the probabilities for your wheel.

Websites 
 Learn Alberta: Probability Interactive
 Learn Alberta: Probability

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Probability  The lessons focus on creating sample spaces and using the Fundamental (Basic) Counting
Principle. Students calculate experimental probability through games and then calculate the theoretical
probability. (pdf)

Common Core
Standards 
SCP.2 
SCP.3 
SCP.2 
SCP.3 
SCP.5 
