School Administrative District #4

Unity of purpose

CORE CURRICULUM: SCOPE AND SEQUENCE

Department: Mathematics

CONTENT STANDARD: PROBABILITY

 

Performance Indicators: The learner will·

Kindergarten

1.        Review and extend prior learning

2.        Demonstrate an initial understanding of a chance occurrence, using manipulatives (e.g., coins, dice, multi-colored spinners)

Grade 1

1.        Review and extend prior learning

2.        Demonstrate an initial understanding of predicting an occurrence, e.g., If there were an apple and an orange in a bag, what are the chances of removing an apple?

Grade 2

1.        Review and extend prior learning

2.        Use data from an experiment to predict which of two events is more likely to occur if the experiment is repeated

3.        Demonstrate an understanding of a chance occurrence, using manipulatives (e.g., coins, dice, multi-colored spinners); and record outcomes of simple events

Grade 3

1.        Review and extend prior learning

2.        Investigate and describe the concept of probability as chance, and list possible results of a given situation

Grade 4

1.      Review and extend prior learning

2.      Determine the probability of a given simple event, using manipulatives

3.      Solve problems involving the probability of a single event by using tree diagrams or by constructing a sample space representing all possible results

Grade 5

1.        Review and extend prior learning

2.        Create a problem statement involving probability based on information from a given problem situation (he/she may or may not be able to solve the problem)

Grade 6

1.        Review and extend prior learning

2.        Determine and interpret the probability of an event occurring from a given sample space

Grade 7

1.        Review and extend prior learning

2.        Investigate and describe the difference between the probability of an event found through simulation versus the theoretical probability of that same event

3.        Determine the probability of a given simple event and express that probability as a ratio, fraction, decimal, or percent

Grade 8

1.        Review and extend prior learning

2.        Find all possible combinations and arrangements involving a limited number of variables, i.e., use the Fundamental Counting Principle

3.        Use knowledge of probability to analyze problem situations (e.g., games of chance, board games, grading scales)

Grade 9

1.        Review and extend prior learning

2.        Find the quotient of numbers given factorial notation

3.        Find probability when the event always occurs

4.        Distinguish between probability of simple, independent, dependent, inclusive, and mutually exclusive events

5.        Find the probability of a

á         Simple event

á         Compound event, using

á         A sample space

Grade 10

1.        Review and extend prior learning

Grade 11

1.        Review and extend prior learning

2.        Apply concepts involving probability to real-life problems involving

á         Binomial distribution

á         Binomial experiments

á         Binomial Probability Theorem

Grade 12

NOTE: The following performance indicators apply to only those students taking Functions, Statistics, and Trigonometry (FST).

1.        Review and extend prior learning

2.        Find the number of permutations of objects where conditions are attached to the arrangement

3.        Find the number of distinguishable permutations when some of the objects in an arrangement are alike

4.        Find the possible number of permutations of objects in a circle

5.        Find the number of combinations of n things taken r at a time

6.        Find the probability of a

á         Compound event, using

á         The Fundamental Counting Principle

á         Permutations

á         Combinations