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Mathematics / Contemporary Math

This course emphasizes the practical aspects of mathematics. Topics include problem-solving, personal finance, statistics and probability. Written projects are required in a variety of mathematical applications such as a stock market portfolio analysis, a statistical case study, or historical research in mathematics. The final exam is a departmental exam.


 Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.

Unit 1

Fallacy

September

 

Concepts

Resources

 

Appeal to Popularity

Pages 14-22

 

False Cause

Pages 14-22

 

Appeal to Emotion

Pages 14-22

 

Personal Attack

Pages 14-22

 

Red Herring

Pages 14-22

Unit 2

Logic

September - October

 

Concepts

Resources

 

Proposition

Page 22

 

Universal Quantifiers

Page 42

 

Negation

Page 23

 

Conjunction

Pages 25-26

 

Disjunction

Pages 26-28

 

Conditional

Pages 28-31

 

Converse, Inverse and Contrapositive

Pages 31-36

Unit 3

Numbers in the Real World

October-November

 

Concepts

Resources

 

Fractions

Pages 136-152

 

Percent

Pages 154-171

 

Discount

Page 241

 

Commission

 
 

End of Quarter 1

 

Unit 4

Conversion

November

 

Concepts

Resources

 

US

Page87

 

Metric

Pages 106-107

 

Time

Pages 92-95

 

Currency

Pages 90-92

 

Temperature

Pages 107-108

 

Chain

Pages 88

Unit 5

Venn Diagrams

December

 

Concepts

Resources

 

Set Notation

Pages 38-41

 

Subset

Pages 40-41

 

Disjoint

Pages 40-41

 

Intersecting

Pages 40-50

 

Uses of the Venn Diagram

Pages 42-53

Unit 6

Graphing

January

 

Concepts

Resources

 

Interpreting

Pages 352-380

 

Drawing

Pages 352-360

 

Misleading

Pages 370-373

 

End of Quarter 2

 

Unit 7

Stocks

February

 

Concepts

Resources

 

IPO

Pages 257-261

 

Markets

Pages 257-261

 

Stock Analysis

Pages 257-261

 

Stock Purchase

Pages 257-261

 

Trends

Pages 257-261

Unit 8

Taxes

February

 

Concepts

Resources

 

Personal Income

Literacy and Calculation

Pages 290-299

Unit 9

Personal Finance

March

 

Concepts

Resources

 

Budgeting

Pages 218-228

 

Savings and Investments

Pages 246-253

 

Federal Budget

 
 

Federal Deficit

 
 

Simple Interest

Pages 228-230

 

Compound Interest

Pages 230-238

 

Continuous Interest

Pages 238-239

 

Loans- Personal, Student, Car

Pages 269-276

 

Mortgages

Pages 278-295

 

Present and Future Values

Pages 245-275

 

Credit Cards

Pages 276-278

 

Credit Literacy

 
 

End of Quarter 3

 

Unit 10

Probability

March-April

 

Concepts

Resources

 

Experimental

 
 

Theoretical

Pages 453-454

 

Law of Large Numbers

Pages 478-479

 

Or

Pages 469-471

 

And

Pages 466-469

 

Expected Value

Pages 479-482

 

Permutations – With and without repeats

Pages 500-504

 

Combinations

Pages 504-506

Unit 11

Statistics

May

 

Concepts

Resources

 

Sampling

Pages 323-341

 

Bias

Pages 340-341

 

Correlation

Pages 381-387

 

Scatter Plots

Pages 382-385

 

Box and Whisker Plots

Pages 415-417

 

Standard Deviation using the Range Rule of Thumb

Pages 419-429

 

Normal Distribution Curve

Pages 424-431

Unit 12

Problem Solving

May-June

 

Concepts

Resources

 

POLYA Method

Page 119

 

Critical Thinking in Everyday Life

Pages 70-75