Download NCFE Discrete Math Chapter and Topic Breakdown

NC FINAL EXAM DISCRETE MATHEMATICS 2015 – 2016
BREAKDOWN OF TOPICS
GOAL 1: The learner will use matrices and graphs to model relationships and solve
problems.
1.01 Use matrices to model and solve problems.
a) Display and interpret data.
b) Write and evaluate matrix expressions to solve problems.
1.02 Use graph theory to model relationships and solve problems.
GOAL 2: The learner will analyze data and apply probability concepts to solve problems.
2.01 Describe data to solve problems.
a) Apply and compare methods of data collection.
b) Apply statistical principles and methods in sample surveys.
c) Determine measures of central tendency and spread.
d) Recognize, define, and use the normal distribution curve.
e) Interpret graphical displays of data.
f) Compare distributions of data.
2.02 Use theoretical and experimental probability to model and solve problems.
a) Use addition and multiplication principles.
b) Calculate and apply permutations and combinations.
c) Create and use simulations for probability models.
d) Find expected values and determine fairness.
e) Identify and use discrete random variables to solve problems.
f) Apply the Binomial Theorem.
2.03 Model and solve problems involving fair outcomes:
a) Apportionment.
b) Election Theory.
c) Voting Power.
d) Fair Division.
GOAL 3: The learner will describe and use recursively-defined relationships to solve
problems.
3.01 Use recursion to model and solve problems.
a) Find the sum of a finite sequence.
b) Find the sum of an infinite sequence.
c) Determine whether a given series converges or diverges.
d) Write explicit definitions using iterative processes, including finite differences and
arithmetic and geometric formulas.
e) Verify an explicit definition with inductive proof.
TEST SPECIFICATION WEIGHTS
Goal NC Standard
Course of Study
Percent of Total Score
Points
Chapters of Curriculum
1.01 Matrices
1.02 Graphs
2.01 Stats
2.02 Probability and
Counting
2.03 Modeling
3.01 Recursion
16% to 24%
8% to 16%
14% to 22%
DMTA Lessons
Chapters 5, 6, 7, 8
Chapters 13, 14, 16
19% to 27%
Chapter 15
16% to 24%
9% to 16%
Chapters 1, 2, 3, 4
Chapters 9, 10 , 12
Mathematics NC Final Exam 2015 - 16
Number of Items by Standard
The following table shows the number of operational items for each standard. Note that future coverage of standards
could vary within the constraints of the test specification weights in Table 1.
Discrete Math Standard Number of Items
Curriculum
1.01a
1.01b
1.02
2.01b
2.01c
2.01d
2.02a
2.02c
2.02f
2.03a
2.03b
2.03c
2.03d
3.01a
3.01b
3.01d
2
4
4
2
2
3
2
3
1
2
3
2
2
1
1
1
Matrices
Matrices
Chapters 5, 6, 7, 8
Chapter 13
Chapter 14
Chapter 16
Chapter 15
Chapter 15
Chapter 15
Chapter 4
Chapter 1
Chapter 2
Chapter 3
Chapter 9, 10, 12 (Finite Sum)
Chapter 9, 10, 12 (Infinite Sum)
Chapter 9, 10 (Sequences)