Course 2 Online!
Henrico County Public Schools, Virginia
7.9 - 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 investigate and describe the difference between the experimental probability and theoretical probability of an event. 
Essential Knowledge and Skills 
  • Determine the theoretical probability of an event.
  • Determine the experimental probability of an event.
  • Describe changes in the experimental probability as the number of trials increases.
  • Investigate and describe the difference between the probability of an event found through experiment or simulation versus the theoretical probability of that same event.
Essential Understandings
  • What is the difference between the theoretical and experimental probability of an event? Theoretical probability of an event is the expected probability and can be found with a formula. The experimental probability of an event is determined by carrying out a simulation or an experiment. In experimental probability, as the number of trials increases, the experimental probability gets closer to the theoretical probability.
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: What Are the Chances? (PDF) - Investigating and describing the theoretical and experimental probabilities (Word)
  2. Notes: Probability Basics (ppt)
  3. Activity: Probability Stations (doc)
  4. Activity: Mathematician Game (pdf)
  5. Activity: What is the Probability (pdf)
  6. Guided Notes: Theoretical and Experimental Probability (doc)
  7. VDOE Algebra Readiness Curriculum Companion: Exploring Probability (pdf)
Real World Lessons
Practice
  1. Worksheet: Calculating Probability (pdf)
  2. Worksheet: Probability (pdf)
SOL Mini Quiz
  1. SOL 7.9 Mini Quiz: Probability (pdf) | (doc)
Skills
  1. Mathematics Assessment Project:
    • A10:Card Game - Apprentice - In this task, you will use probability to make predictions about a card game.
    • E06:Lottery - Expert - In this task, you must use math to decide whether a lottery idea will make money.
  2. Experimental Probability: Amusement Park Fun (doc)
  3. Probability: Random Dots (doc)
Videos
  1. YouTube: Probability - Theoretical Probability versus Experimental Probability
  2. PH: Finding experimental probability
  3. PH: Finding theoretical probability
  4. PH: Using probability to make predictions about populations
  5. PH: Finding experimental probability using simulations
Explore Learning
  1. Probability Simulations: Experiment with spinners and compare the experimental probability of particular outcomes to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
  2. 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.
  3. Theoretical and Experimental Probability: Experiment with spinners and compare the experimental probability of a particular outcome to the theoretical probability. Select the number of spinners, the number of sections on a spinner, and a favorable outcome of a spin. Then tally the number of favorable outcomes.
Websites
  1. Illuminations - What Are My Chances?
  2. Interactive Lab - Glencoe practice problems.
  3. Probability Games - Have a little fun while exploring the concepts of probability.
  4. Johnnie's Math Page - Probability
  5. LearnAlberta - Probability
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.6
7.SP.7a
7.SP.7b