Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

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


The student will
a)   compare and contrast dependent and independent events; and
b)   determine probabilities for dependent and independent events. 
Essential Knowledge and Skills
  • Determine whether two events are dependent or independent.
  • Compare and contrast dependent and independent events.
  • Determine the probability of two dependent events.
  • Determine the probability of two independent events.
Essential Understandings
  • How can you determine if a situation involves dependent or independent events? Events are independent when the outcome of one has no effect on the outcome of the other. Events are dependent when the outcome of one event is influenced by the outcome of the other.      
Vertical Articulation
  1. SOL 4.13ab - a) predict the likelihood of simple event; b) represent probability as a number between 0 and 1
  2. SOL 5.14 - make predictions/determine probability by constructing a sample space
  3. SOL 7.9 - investigate/describe the difference between the experimental/theoretical probability
  4. SOL 7.10 - determine the probability of compound events, Basic Counting Principle
  5. SOL 8.12 - determine probability of indep/dep events with and without replacement
Instructional Materials
  1. VDOE Enhanced Enhanced Scope and Sequence Lesson: It Could Happen (PDF) - Differentiating between dependent and independent events (Word)
  2. Notes: Probability (flipchart) - 15 slides: notes and practice understanding probability including independent and dependent
  3. Guided Practice: Independent and Dependent Probability Practice Problems (flipchart) - 9 practice questions between independent and dependent probability
  4. VDOE Algebra Readiness Curriculum Companion: Exploring Probability (pdf)
Real World Lessons
Practice
  1. Worksheet: Probability of Simple, Independent, and Dependent Events (pdf) - 15 practice problems (simple events are grade 4 review)
  2. Worksheet: Probability Practice (doc) - 3 pages practicing independent and dependent probability
  3. Worksheet: Independent vs. Dependent Events (pdf) - 25 mixed practice problems including word problems
SOL Mini Quiz
  1. SOL 6.16 Mini Quiz: Probabilities (pdf)
Skills
  1. Mathematics Assessment Project
    • A20:Memory Game - Apprentice - In this task, you use probability to find a good strategy for winning a memory game.
    • E06:Lottery - Expert - In this task, you must use math to decide whether a lottery idea will make money.
Videos
  1. YouTube: Independent and Dependent Probability
  2. YouTube: Probability of Compound Events
  3. PH: Finding the probability of a single event
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. Math Goodies: Independent Events Notes and Practice
  2. IXL Math: Probability of Independent and Dependent Events
  3. BrainGenie: Finding Probabilities 
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
S-CP.1
S-CP.2
S-CP.3
7.SP.8a
7.SP.8b
S-CP.1
S-CP.2
S-CP.3
S-CP.5