# Discrete Math - Jones County Schools ```JONES COUNTY SCHOOLS CURRICULUM MAP
Quarter
1st
4 week
2nd
4 week
Content Material Covered
SUBJECT: Discrete Math
Standards
1.01 Use matrices to
model and solve
problems.
Resources
Essential Vocabulary
1st week: Matrix Add, Subtract, Multiply matrices.
Display and interpret matrix data. Decoding Matrices
2nd week: Critical Paths Determine the earliest start
time (EST), latest-start time (LST) and minimum project
time. Determine the critical path; draw graphs from
1.02 Use graph theory
tables and vice versa. Construct an adjacency matrix
to model relationships
from a diagraph and vice versa.
and solve problems.
rd
3 week: Representations of Graphs Understand the
difference between Euler Circuit and Paths and a
Hamilton Circuit and path. Routing problems.
4th week: Graph coloring Determine the chromatic
number of a graph, color graphs Assessment
Dimension
Edges
Square matrix Vertices
Row
Graph
Column
Prerequisites
Chromatic number
Scalar
Inverse
Transpose
Identity
1st week: Data Collection Apply methods of data
collection. Determine the median, mean and standard
deviation. Recognize normal distribution curve.
Compare data distribution. Interpret displays of data.
2nd week: Counting Techniques Determine how many
ways a situation can be done by using counting
methods. Calculate and apply factorial, permutation
and probability
3rd week: Counting Techniques Calculate and apply
counting techniques in which order is unimportant such
as combination. Use all counting techniques at once.
4th week: Probability pt1 Use Addition and
Multiplication Principle, Conditional Probability,
Independent events. Midterm Assessment
Mean
Disjoint
Median
Trial
Variance
Standard Deviation
Normal Distribution
Random Sampling
Bias
Independent
Survey
Dependent
Population
Permutation
Mutually exclusive
2.01 Describe data to
solve problems
2.03 Model and solve
problems involving
fair outcomes
JONES COUNTY SCHOOLS CURRICULUM MAP
1st week: Probability pt2 Apply the Binomial Theorem.
3rd
2nd week: Sequences Find the sum of infinite and finite
4 week
sequences. Apply formulas for Arithmetic and
Geometric Sequences
3rd week: Lines Review lines then construct a Cobweb
Diagram. Growth &amp; Decay. Annuities
4th week: Logs Exponent rules and Logs. Fractal
Dimensions
Assessment
1st week: Apportionment Apply the ideal ratio, Hamilton
4th
method and Jefferson method. Solve problems using
4 week
apportionment
2nd week: Election Theory Solve problems using
election theory. Construct and apply Preference
Schedules, Preferential ballots, plurality and majority
winners. Apply the following methods: Borda Count,
Runoff , Sequential, Condorcet,
3rd week: Voting Theory: Apply the following methods
of voting: Arrow’s conditions, approval voting, weighted
voting. Use the Shapley-Shubik and the Banzlaf power
index
4th week: Fair Division: Discuss fairness (perceived
value) and desired outcome. Apply and demonstrate
the following methods: Lone Divider, Chooser/Divider,
Marker Method, Estate Division (sealed Bids)
Final Assessment (MSL)
SUBJECT: Discrete Math
2.03 Model and solve
problems involving
fair outcomes
Arithmetic
Geometric
3.01 Use recursion to
model and solve
problems
2.03 Model and solve
problems involving
fair outcomes
Preference schedule
Preferential ballot
Discrete
Continuous
```