Course 2 Online!
Henrico County Public Schools, Virginia
7.10 - Probability
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Probability and Statistics
Focus: Applications of Statistics and Probability

The student will determine the probability of compound events, using the Fundamental (Basic) Counting Principle. 
Essential Knowledge and Skills 
  • Compute the number of possible outcomes by using the Fundamental (Basic) Counting Principle.
  • Determine the probability of a compound event containing no more than 2 events.
Essential Understandings
  • What is the Fundamental (Basic) Counting Principle? The Fundamental (Basic) Counting Principle is a computational procedure used to determine the number of possible outcomes of several events.
  • What is the role of the Fundamental (Basic) Counting Principle in determining the probability of compound events? The Fundamental (Basic) Counting Principle is used to determine the number of outcomes of several events. It is the product of the number of outcomes for each event that can be chosen individually.
Vertical Articulation
  • SOL 5.14 - make predictions/determine probability by constructing a sample space
  • SOL 6.16ab - a) compare/contrast dep/indep events; b) determine probabilities for dep/indep events
  • SOL 8.12 - determine probability of indep/dep events with and without replacement
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: The Real Meal Deal (PDF) - Computing the number of outcomes, using the Fundamental (Basic) Counting Principle (Word)
  2. Notes: Probability Basics (ppt)
  3. Notes: Probability (doc)
  4. Guided Notes and Lesson: Tree Diagrams and The Fundamental Counting Principle (doc)
  5. Activity: Probability Rock, Paper, Scissors (doc)
  6. VDOE Algebra Readiness Curriculum Companion: Exploring Probability (pdf)
Real World Lessons
Practice
  1. Worksheet: Fundamental Counting Principle (doc)
  2. Worksheet: Probability Review (doc)
  3. Worksheet: Independent and Dependent Events (pdf)
  4. Worksheet: Independent and Dependent Events #2 (pdf)
  5. Worksheet: Independed and Dependent Events #3 (pdf)
SOL Mini Quiz
  1. SOL 7.10 Mini Quiz: Probability (pdf) | (doc)
Skills
  1. Mathematics Assessment Project:
    • A01:Charity Fair - Apprentice - Ann is in charge of a "Lucky Dip" game to raise money for charities. In this task, you use the rules of probability to advise Ann on how to improve the game so that it raises more money.
    • A20:Memory Game - Apprentice - In this task, you use probability to find a good strategy for winning a memory game.
    • E09:Spinner Bingo - Expert - In this task, you must use math to figure out the best way to play a number bingo game.
Videos
  1. YouTube: Simple and Compound Probability 
  2. VirtualNerd: Fundamental Counting Principle
  3. Vimeo: Combinatorics: The Fundamental Counting Principle in Use
  4. PH: Using a list and sample space to find probability
  5. PH: Using a tree diagram and sample space to find probability
Explore Learning
  1. 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.
  2. 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.
  3. 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
  1. StudyZone: The Probability of Compound Events
VDOE Interventions
  1. 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
7.SP.8a
7.SP.8b
S-ID.1
S-CP.3
S-CP.5