Discrete Math -- 2010
Day
Lesson Objective
1
Classroom procedures,
syllabus, getting to know
students
2
&
3
Administer Diagnostic Test
and go over.
4
&
5
Begin Set Theory Unit 1:
 Steps in problem
solving
 Problem solving
strategies
 Problem solving
principles
 Methods of
estimation
6
&
7
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Section 1.1
Section 1.2
Outside
Resources
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
8,
9,
&
10

The language of
sets including setbuilder notation,
cardinal number,
and infinite versus
finite sets
Section 1.3
11,
12,
&
13

Comparison of
sets
Section 1.4
14
&
15

Set operations to
include Venn
diagram
representations
Section 1.5
16,
17,
18,
&
19

Applications of
sets including
survey problems
Section 1.6
Outside
Resources
Activities
Assessment
Quiz on Sections
1.1-1.3
Problems from other
textbooks used for
extra practice as
necessary
Discrete Math -- 2010
Day
Lesson Objective
20
&
21
Unit 1 Review
22
Unit 1 Test on Set
Theory
23
&
24
Begin Logic Unit 2:
 The use of
inductive and
deductive
reasoning
Section 2.1
25,
26,
&
27

Section 2.2
Symbolic logic to
include
statements,
connectives, and
quantifiers
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Activities
Logic Anyone?
Book of activities
28,
29,
&
30

Truth tables used to
find logical values of
complex statements
Section 2.3
Extra problems
from other
textbooks may be
needed
31,
32,
&
33

Conditional and
biconditional
statements verbally
and symbolically
including converse,
inverse, and
contrapositive
 Verifying
arguments by
using truth tables
to determine
validity
Section 2.4
Extra problems
from other
textbooks may be
needed
Section 2.5
Extra problems
from other
textbooks may be
needed

Section 2.6
34,
35,
&
36
37
&
38
Using Euler
diagrams to verify
syllogisms
Assessment
Quiz on 2.1-2.3
Logic Anyone?
Book of activities
Discrete Math -- 2010
Day
Lesson Objective
39
&
40
Review Unit 2
41
Unit 2 Logic Test
42
&
43

44
&
45
1st Nine Weeks
Cumulative Test
Of Further
Interest: Matrix
Logic
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Activities
.
Not found in
textbook
Problems found in
other textbooks
Logic Anyone?
Book of activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
46,
47,
48,
49,
50,
51,
52,
53,
54,
55,
56,
57,
58,
&
59
Begin Numeration
Systems Unit 3:
 The study of the
evolution of
numeration
systems to include
Egyptian, Roman,
Mayan, Chinese,
Babylonian, and
Hindu-Arabic
(The use of the
internet for
students to explore
other numeration
systems is
recommended.)
 Exploration of
place value
systems including
the galley method
and Napier’s rods
Chapter 4
Internet used for
research
60,
61,
&
62
Each numeration
system researched
will be taught to the
class by the
student(s) doing the
research.
Section 4.2
Activities
Assessment
A quiz will be given
on each numeration
system studied.
Discrete Math -- 2010
Day
63,
64,
65,
66,
&
67
68
Lesson Objective

Calculations in
other base systems
than base 10 to
include
mathematical
operations within
the systems and
between systems
Review for Unit 3 Test
69
Unit 3 Test on
Numerations Systems
70,
71,
&
72
Begin Systems of
Linear Equations &
Inequalities Unit 4:
 Solving of
systems of linear
equations
graphically and
algebraically
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Section 4.3
Extra practice
problems from other
textbooks may be
needed.
Section 7.1
Activities
Assessment
Discrete Math – 2010
Day
73,
74,
&
75
76,
77,
&
78
Lesson Objective

Solving of systems of
linear inequalities
graphically

Use both types of
systems to solve
word problems
79,
80,
&
81
Of Further Interest: Linear
Programming
 Incorporating the
use of technology
82
Review for Unit 4 Test
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Section 7.2
Activities
Assessment
Quiz as needed
Section 7.1 & 7.2
Extra problems may
be needed.
At end of Chapter 7
in textbook
Extra problems
from other
textbooks may be
needed.
Discrete Math -- 2010
Day
82
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Section 14.1
Extra problems
from other
textbooks may be
needed.
Unit 4 Test on
Systems of Equations
& Inequalities
83,
84,
85,
86,
&
87
Review for 1st semester
exam
88,
89,
&
90
1st Semester Exam
91,
92,
&
93
Begin Unit 5
Descriptive Statistics:
 Organizing and
visualizing data
with construction
of frequency
distribution
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
94
&
95

Measures of central
tendency
Section 14.2
96,
97,
&
98

Graphing data
including dot plot, line
graph, ogive,
frequency polygon,
histogram, scatterplot
with linear correlation,
& box-and-whisker
plot
 Measures of
dispersion
including
coefficient of
variation
Section 14.2
99
&
100
Section 14.3
Outside
Resources
Activities
Assessment
Quiz as needed
Discrete Math -- 2010
Day
101,
102,
&
103
Lesson Objective

The normal
distribution used
for interpreting
scores and
comparing data
104
&
105
Of Further Interest: Linear
Correlation
106
Review for Unit 5
Descriptive Statistics Test
107
Unit 5 Descriptive
Statistics Test
108,
109,
&
110
Begin Geometry Unit 6:
 Study of lines,
angles, and circles
(Euclidean and
non-Euclidean)
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Section 14.4
Extra problems may
be needed from
other textbooks
At the end of
chapter 14 in
textbook
Section 8.1
Extra resources as
needed from
Geometry textbooks
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
111,
112,
&
113

Study of polygons
and their
properties along
with application
problems
Section 8.2
Extra resources as
needed from
Geometry textbooks
114,
115,
&
116

Perimeter and area
of geometric
figures to include
application
problems
Section 8.3
Extra resources as
needed from
Geometry textbooks
117,
118,
&
119

Volume and
surface area of
geometric figures
to include
application
problems
Section 8.4
Extra resources as
needed from
Geometry textbooks
120
&
121

The metric system
Section 8.5
Activities
Assessment
Quiz on Sections
8.1-8.3
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
122,
123,
&
124

Dimensional
analysis used to
convert between
the metric system
and the customary
system
Section 8.5
125,
126,
&
127

Geometric
symmetry and
tessellations
Section 8.6
128
Review for Unit 6 Test
129
Geometry Unit 6 Test
Outside
Resources
Activities
Extra resources as
needed from
Geometry textbooks
Students will
construct their own
tessellations.
Assessment
Discrete Math -- 2010
Day
130
&
131
Lesson Objective
Of Further Interest:
Fractals
132
&
133
Review for 3rd Nine
Weeks Test
134
&
135
Cumulative 3rd Nine
Weeks Test
136
Begin Consumer
Mathematics Unit 7:

A speaker from a
financial institution
will come introduce
the students to
consumer loans.
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
At the end of
Chapter 8 in the
textbook
Internet resources
may be used
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
137
&
138

Percents and
application
problems
Section 11.1
139,
140,
&
141

Section 11.2
142,
143,
&
144

Interest including
simple interest,
present value, future
value, and
compound interest
(A review of
logarithm properties
may be necessary.)
Consumer loans
including the unpaid
balance method and
the average daily
balance method
145
A speaker from a
financial institution
will come to
introduce the
students to
annuities.
Section 11.3
Outside
Resources
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
146,
147,
148,
&
149

150,
151,
152,
&
153

154
&
155
156
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Annuities
including future
value and sinking
funds
Section 11.4
Amortization
including
determining
payment amount,
present value, and
refinancing loans
Review for Unit 7 Test
Section 11.5
Consumer Mathematics
Unit 7 Test
Outside
Resources
Activities
Assessment
Quiz on Sections
11.1-11.3
Discrete Math -- 2010
Day
Lesson Objective
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
157
&
158
Begin Probability Unit 8:
 The basics of
probability theory
including sample
space, outcomes,
events, odds, and
application to
genetics
 Finding the
complement of an
event and union of
two events
Section 13.1
Extra resources as
needed from other
textbooks
Section 13.2
Extra resources as
needed from other
textbooks
Section 13.3
Extra resources as
needed from other
textbooks
159
&
160
161,
162,
&
163


Conditional
probability and the
intersections of
two events
Independent
events versus
dependent events
Activities
Assessment
Discrete Math -- 2010
Day
164
&
165
Lesson Objective

Expected Value
166,
167,
&
168
Of Further Interest:
Binomial Experiments
(The use of technology will
be included.)
169
&
170
Review for Unit 8 Test
171
Probability Unit 8 Test
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Section 13.4
At the end of
chapter 13 in the
textbook
Extra resources as
needed from other
textbooks
Activities
Assessment
Discrete Math -- 2010
Day
Lesson Objective
172,
173,
174,
&
175
Review for cumulative final
exam
176
Cumulative Final Exam
Textbook
Correlation –
Mathematics All
Around by
Pirnot
(Pearson)
Outside
Resources
Activities
Assessment