UNIT 2: NUMBERS & OPERATIONS



Name: Date: Period:

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, GCF-greatest 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

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