Download Unit 1 Operations with Rational Numbers

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UNIT 1: Operations and Rational Numbers
7. NS.1: Apply and extend previous understandings of addition and subtraction to
add and subtract rational numbers; represent addition and subtraction on a
horizontal or vertical number line diagram.
7. NS.2: Apply and extend previous knowledge of multiplication and division of
fractions to multiply and divide rational numbers.
7. NS.3: Solve real-world and mathematical problems involving the four
operations with rational numbers.
Review of Basic Operations:
 Fractions, Decimals, & Whole Numbers (+ing, -ing, xing, and ÷ing)
 Order of Operations
Topics of Study:
 Number Classification
 Integers & Absolute Value
 Comparing and Ordering Rational Numbers, including repeating decimals
 Add, subtract, multiply, and divide positive and negative rational
numbers.
 Error Analysis – Order of Operations
 Solve problems using rational numbers
 Interchanging fractions, decimals, and percents
Review Vocabulary: addition (+), sum, subtraction (-), difference, multiplication
(x, *, ( ) ), product, division (÷, — ), quotient, > greater than, < less than, = equal
to, equivalent fraction, numerator, fraction bar, denominator, proper fraction, GCFgreatest common factor, simplest/lowest term, improper fraction, mixed number,
LCM-least common multiple, terminating decimal, repeating decimal
Unit 1 Vocabulary: inverse operations, natural numbers, whole numbers, integers,
rational numbers, number line, negative numbers, positive numbers, additive
inverses, opposite numbers, absolute value, sign, zero pair, multiplicative inverse,
long division, repeating decimal, terminating decimal
Tiles can be used to represent integers.
Red Tile = a negative integer
Yellow Tile = positive integer
Yellow Tile + Red Tile = zero pair, = opposite = additive inverses.
Real-world situations/examples: profit/loss, money, weight, sea level,
debit/credit, football yardage