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Title
Discrete Math
Textbook
Using and Understanding Mathematics, Bennett & Briggs, Addison-Wesley, 1999
Description
This class is designed for students who have completed at least two years of
Algebra and one year of Geometry and want to take a fourth year of math. Some
students will take this class because Trig or Pre-Calculus is too difficult for
them or that they will not need those classes for college. Topics covered will
include current examples in stats, logic, problem solving, probability, network
analysis and number theory.
Notes
Chapter 1, Principals of reasoning
Chapter 2, Statistical reasoning
Chapter 3, Problem solving tools
Chapter 4, Numbers in the real world
Chapter 5, Financial management
Chapter 6, Modeling our world
Chapter 7, Exponential growth and decay
Chapter 8, Probability
Chapter 9, Putting statistics to work
Chapter 10, Mathematics and the arts
Chapter 11, Discrete mathematics in business and society
Chapter 12, The power of numbers
Course Objectives
1. Students will be able to use Venn diagrams to determine the validity of
deductive reasoning.(12.2.2)(12.4.7)
2. Students will be able to use all types of graphs(histograms, bar, pie,
scatter plots, etc..) to interpret data that is used in real world
statistics.(12.5.1)
3. Students will use the fundamental skills of problem solving(four step
procedure) to solve measurement problems and population problems using standard
and metric systems.(12.3.2)
4. Students will be able to see how numbers are really used in the world and
they will discover the difference between accuracy and precision of
numbers.(12.3.1)
5. Students will be able to use mathematic formulas to find interest and amounts
of annuities, interest on loans, values of investments and the amounts of
different taxes needed for income taxes.(12.6.2)
6. Students will use linear graphs and equations and nonlinear equations to
model and solve real world problems.(12.6.1)
7. Students will be able to use growth and decay formulas to solve radiation and
population types of problems.(12.6.2)
8. Students will be able to use the counting principle and probability formulas
to solve real world types of problems.(12.5.3)
9. Students will be able to characterize data that is used in statistical
research and determine the central tendencies, dispersion and skewness.(12.5.4)(12.5.5)
10. Students will be able to use mathematical concepts such as: surface area to
volume ratio, perspective and symmetry in art, and basic fractal geometry, to
study pictures and describing their mathematical features.(12.4.2)
11. Students will be able to use network theory to solve problems like the
traveling salesman.
12. Students will be able to use the theory of voting to discuss issues related
to elections and government democracy.(12.5.2)
13. Students will be able to use logarithmic scales to solve problems involving
earthquakes, sound and acid rain.(12.6.2)
14. Students will use density and concentration formulas to solve problems that
Apply to DWI. (12.6.2)
WRITING ACTIVITES
1. Every chapter contains problems, which allow students to write their answers
in paragraph form.
2. Throughout the year, students are given assignments that ask them to write a
short paper on how math is used in the workplace.
3. Short answer questions are given on tests and quizzes.
MULTICULTURE ACTIVITIES
1. Story problems throughout the book involve minorities from several different
cultures.
2. Students read or do the projects in each chapter and this section of the book
focuses on multicultural history and events in mathematics.
