Description
To prepare for this Discussion:
Review Sections 1.2–1.3, 2.1-2.4 from the course text, Math in our World.
Think of a situation in which you might need to use math at work or in life.
For this Discussion, you will write the detailed steps for your own example
Provides a work related or a real life example that can be explained by set and subset concepts.
Describes and shows the answer in the set and the subset form.
Section
Important Terms
Important Ideas
1-1
Inductive reasoning
Deductive reasoning
Conjecture
Counterexample
In math (and in life!), we can use two types of reasoning: inductive and deductive. Inductive reasoning is the process of arriving at a general conclusion based on observing specific examples. Deductive reasoning is the process of arriving at a conclusion based on known rules and principles. Remember: inductive goes from specific to general, and deductive goes from general to specific.
1-2
Estimation
Place Value
Bar graph
Pie chart
Time series graph
Overestimate
Underestimate
In many cases, it isn’t necessary to find the exact answer to a problem. When only an approximate answer is needed, you can use estimation. This is often accomplished by rounding the numbers used in the problem and then performing the necessary operation or operations.
1-3
Polya’s four-step problem-solving procedure
A mathematician named George Polya devised a procedure to solve mathematical problems. The steps of his procedure are (1) understand the problem, (2) devise a plan to solve the problem, (3) carry out the plan to solve the problem, and (4) check the answer.