State Curriculum - Mathematics

 
Grade 8
Standard 5.0 Knowledge of Probability: Students will use experimental methods or theoretical reasoning to determine probabilities to make predictions or solve problems about events whose outcomes involve random variation.
A. Sample Space
1. Identify a sample space
a. Describe the difference between independent and dependent events
b. Determine the number of outcomes
    Assessment limit:
  • Use no more than 5 dependent events with no more than 10 outcomes in the first event
B. Theoretical Probability
1. Determine the probability of an event comprised of no more than 2 independent events
a. Express the probability of an event as a fraction, a decimal, or a percent
2. Determine the probability of a second event that is dependent on a first event of equally likely outcomes
a. Express the probability as a fraction, a decimal, or a percent
    Assessment limit:
  • Use a sample space of no more than 60 outcomes
C. Experimental Probability
1. Analyze the results of a survey or simulation
a. Make predictions and express the probability of the results as a fraction, a decimal with no more than 2 decimal places, or a percent
    Assessment limit:
  • Use 20 to 500 results
2. Conduct a probability experiment
3. Compare outcomes of theoretical probability with the results of experimental probability
4. Describe the difference between theoretical and experimental probability
 

Note: Highlighted assessment limits will be tested in the no calculator section of MSA. In the assessment limit, (0-10) or (-10 to 10) means all numbers in the problem or the answer will fall within the range of 0 to 10 (including endpoints) or -10 to 10 (including endpoints), respectively. All content standards are tested in MSA but not all objectives. Objectives that have an assessment limit are tested on MSA. Objectives without an assessment limit are not tested on MSA.

 

MSDE has developed a toolkit for these standards which can be found online at: http://mdk12.org/instruction/curriculum/mathematics/vsc_toolkit.html.

 

June 2004