Warm-up August 14, 2017 Solve the following: 3/5 + 2/5 = 1/3 + 2/3 =

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Warm-up August 14, 2017 Solve the following: 3/5 + 2/5 = 1/3 + 2/3 = 3/5 + 2/5 = 1/3 + 2/3 = 3/5 + 3/6 = 2/3 + 3/5 = 5/6 + 5/6 =

Vocabulary Absolute Value: The distance between a number and zero on the number line. The symbol for AV is shown in the equation: │ -8 │ = 8 Integers: The set of whole numbers and their opposites (… -2, -1, 0, 1, 2, …) Opposite numbers: Two different numbers that have the same absolute value. Example: 4 and -4 are opposites

More vocabulary Positive Integer: an integer that is greater than zero Negative Integer: an integer that is less than zero Rational Number: the set of numbers that can be written in the form A/B, where A and B are integers and b is not equal to zero

Absolute value The distance from a number to zero on a number line. Absolute values are ALWAYS positive.

Addition SAME SIGNS (both signs are positive or both signs are negative): Add the numbers and keep the sign – 2 positives stay positive, 2 negatives stay negative DIFFERENT SIGNS (one positive and one negative): Subtract the small number from the larger number Keep the sign of the larger number – if positive number is larger, answer is positive; if negative number is larger, answer is negative (absolute value)

Addition Song Same sign add and keep Different sign, subtract Keep the sign of the larger number Then you’ll be exact (To the tune of Row, Row, Row, your boat)

Addition on a Number Line Always start at ZERO Draw your arrow from 0 to the first number in the equation. Always start your second number where the arrow for the first number ends. Draw the second arrow the length of the absolute value of the number.

Subtraction Keep Change Change (KCC) Keep the sign of the first number – keep it as it is Change the problem from subtraction to addition ( - sign becomes + sign) Change the sign of the second number – positive number becomes negative, negative number becomes positive Use the rules of addition (you changed it to an addition problem!)

Subtraction on a Number Line How?

Class work Common Core Workbook Page 4 Problems 1 through 10 REMEMBER – YOU WILL BE DRAWING AND USING A NUMBER LINE TO SOLVE EACH PROBLEM (10 number lines!)