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MATH 3161 Review Notes for Test 2 During the test: You may use any manipulatives you have made or purchased. You may not share these during the test. You may bring a printed sheet with the Rainbow Fraction Tiles displayed. You may use a calculator, but it is not necessary. (You may not use a cell phone calculator.) All sections Be sure you have a working knowledge of all terms. Use correct mathematical notation. When modeling, use pictures and phrases to describe what you are doing. Do not combine steps. From Test 1: 1.3 Problem Solving State George Polya’s Problem Solving Process Steps 5.1 Addition, Subtraction, and Order Properties of Integers Opposite Set of Integers Absolute Value Properties of Opposites 6.1 Rational Number Ideas and Symbols Read (write) a decimal Write a decimal in expanded notation Write a fraction in decimal form (Show work, not just use a calculator.) Explain whether a rational number can be written as a terminating decimal or if it must be written as a repeating decimal from looking at the fractional form 6.2 Adding and Subtracting Fractions Use Rainbow Fraction Tiles and Pattern Blocks to model addition and subtraction (pictures optional) Add and subtract fractions using the traditional algorithm Add and subtract fractions larger than 1 using a mixed number format State/give examples of the properties of addition of rational numbers Find sums and differences using mental arithmetic Estimate using fractions 6.3 Multiplying and Dividing Fractions Use Rainbow Fraction Tiles and Pattern Blocks to model multiplication and Division (pictures optional on multiplication) Use area models to represent/identify multiplication and division problems Multiply and divide fractions using the traditional algorithm State/give examples of the properties of multiplication of rational numbers Inverse Property of Multiplication Closure Property of Division 6.4 Operations with Decimals Add and subtract decimals using base ten blocks Draw pictures and explain (Remember not to combine steps) (Modeling must parallel what you do when you use the standard algorithm.) Add and Subtract using a Place-Value Chart Add and Subtract using the standard algorithm When multiplying decimals why do you put the decimal point in the product where you do? Multiply and divide using the standard algorithm Use estimation to determine where the decimal point belongs in a product or quotient. (You will have to explain.)