To prepare for this Discussion: Review Sections 1.21.3, 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 isnt 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 Polyas 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.
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