Math 1135 Week 2 notes
Math 1135 Week 2 notes Math 1135
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This 2 page Class Notes was uploaded by Josie Notetaker on Thursday September 29, 2016. The Class Notes belongs to Math 1135 at Ohio State University taught by Niles Johnson in Fall 2016. Since its upload, it has received 5 views. For similar materials see Number and Operations for Teachers in Mathematics at Ohio State University.
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Date Created: 09/29/16
Week Two Notes How to compare numbers with place value: o Basic Idea vs. Cardinality o Example: 2643 vs. 987- more digits to the left of the decimal (not counting leading zeros) o Is there any way to have 1_ _ _ > 2000? NO The thousands place is more than the largest possible value of all smaller places combined. Think of an odometer Rounding o rounding a decimal to a nearest number with fewer nonzero digits o How to round Rounding to the nearest whole number (or whole number of tenths, hundredths, thousandths) Round to any place by finding the nearest number with whole number of that place with no nonzero digits below a certain place. Example: find whole number of hundredths 4.0763 -> 4.076 Problem Solving o Polya’s Four Steps Understand the Problem Devise a Plan Carryout the Plan Look back Check work, understand the solution Understand the connection Explanations o Explaining to others can help you learn o Discovering errors in your own thinking o Complete (relevant concepts, definitions, or procedures) o Coherent (different parts relate to each other) o Concise (limit unneeded info) The meaning of fractions o A fraction is a part of something. Example: ½ a pizza, ¾ tank of gas o To understand A/B we must first understand what 1/B means. o 1/B is a unit fraction. o 1/B means the amount of the whole, which is one piece when the whole is divided into B equal sized pieces. o B is called the denominator because it denominates. o What does A/B mean? It means A of the pieces, each of the size 1/B. o A is called the numerator and tells how many. Fractions as numbers: o the default whole is 1. o Indicate a quantity (or amount of stuff) o Equivalent fractions Using decimal place value there is a only one way to write every number For fractions, there are many ways to write the same number or quantity, called equivalent fractions.