REVIEW LESSON Adding Subtracting Multiplying and Dividing Integers

REVIEW LESSON: Adding, Subtracting, Multiplying, and Dividing Integers

Warm-Up Problems 1. 8 + (-5) = 2. ־ 7 - ־ 9 = 3. 6 x ־ 3 = 4. ־ 18 ÷ ־ 2 = 5. ־ 15 ÷ 5 =

Warm-Up Problems: Answers 1. 8 + (-5) = 3 2. ־ 7 - ־ 9 = 2 3. 6 x ־ 3 = ־ 18 4. ־ 18 ÷ ־ 2 = 9 5. ־ 15 ÷ 5 = ־ 3

Any QUESTIONS? • Share with your partner the rules for Adding and Subtracting Integers. (1’s start) • Share with your partner the rules for Multiplying and Dividing Integers. (2’s start)

Daily Concept: Review • Standards: – – (NS 2. 3) Add positive and negative integers. (NS 2. 3) Subtract positive and negative integers. (NS 2. 3) Multiply positive and negative numbers. (NS 2. 3) Divide positive and negative integers. • Objective: – To review and apply the rules for adding, subtracting, multiplying, and dividing positive and negative integers.

Vocabulary: Review • Integers: Numbers that can be either negative (‾ 1, ‾ 2, ‾ 3, ) or positive (1, 2, 3, ). • Absolute Value: A number’s distance from zero on a number line.

Adding Integers: Review • To add two integers with the same sign, add their absolute values and write the common sign. (6 + 7 = 13, ‾ 4 + ‾ 4 = ‾ 8) • To add two integers with different signs, subtract the lesser absolute value from the greater absolute value and write the sign of the integer with the greater absolute value. (8 + ־ 7 = 1, ‾ 4 + 14 = 10) • In your own words explain this to your partner (2’s start).

Subtracting Integers: Review • To subtract an integer b from an integer a, add the opposite of b to a. • ( a – b = a + (-b) ) • ( 3 – 6 = 3 + (-6) ) • ( a – ־ b = a + b ) • ( 7 – ־ 10 = 7 + 10 ) • Explain subtracting integers with your partner ( 2’s start).

Multiplying Integers: • The product of two positive integers is POSITIVE: ( 5 x 15 = 75) • The product of two negative integers is POSITIVE: ( ‾ 4 x ‾ 10 = 40) • The product of two integers with different signs is NEGATIVE: ( 8 x ‾ 12 = ‾ 96) • The product of an integer and zero is ZERO: ( 32 x 0 = 0)

Dividing Integers: • The quotient of two positive integers is POSITIVE: ( 32 ÷ 8 = 4) • The quotient of two negative integers is POSITIVE: ( ‾ 12 ÷ ‾ 4= 3) • The quotient of two integers with different signs is NEGATIVE: ( 96 ÷ ‾ 12 = ‾ 8) • The quotient of zero and a nonzero is ZERO: (0 ÷ 8 = 0)

Think-Pair-Share • Each of you take turns explaining to your partner how to add, subtract, multiply, and divide negative and positive integers. » (30 seconds each, 1’s start) • Share explanations with entire class. » (Ask for volunteers)

Guided Practice • Take notes in your journal as we do a few sample problems: – Copy the steps – Copy the sample problems – Ask questions if you don’t understand

Practice • Work on these problems silently and independently. If you are having difficulties use your journal as a resource. 12 + (-3) = 2. ‾ 4 - ‾ 10 = 3. ‾ 12 - 25 = 4. ‾ 7 x ‾ 12 = 5. 6 x ‾ 13 = 6. ‾ 27 ÷ ‾ 3 = 7. 0 ÷ 12 =

Practice: Answers 1. 12 + (-3) = 9 2. ‾ 4 - ‾ 10 = 6 3. ‾ 12 - 25 = ‾ 37 4. ‾ 7 x ‾ 12 = 84 5. 6 x ‾ 13 = ‾ 78 6. ‾ 27 ÷ ‾ 3 = 9 7. 0 ÷ 12 = 0

Partner Practice 1. ‾ 7 + 16 = 2. ‾ 12 - ־ 25 = 3. 8 x ‾ 20 = 4. ‾ 64 ÷ ‾ 8 = 5. A group of Marine scientists were measuring the distance of the ocean floor below the surface of the water. They made 3 measurements. The first measurement was ‾ 940 feet, the next was ‾ 910 feet, and the last was ‾ 850 feet. What was the average distance below the water’s surface?

Answers 1. 2. 3. 4. 5. 9 13 ‾ 160 8 ‾ 900 feet

Order of Operations Review • Parenthesis • Exponent • Multiply • Divide • Add • Subtract

Order of Operations Review • Evaluate expressions inside the grouping symbols (parenthesis). • Evaluate powers (exponents). • Multiply and Divide from left to right. • Add and Subtract from left to right.

Order of Operations Guided Practice • ( ־ 8 - ־ 12) + 2² - 9 = • Parenthesis first: ( ־ 8 - ־ 12) + 2² - 9 = (4) + 2² - 9 = • Exponent next: (4) + 2² - 9 = (4) + 4 - 9 = • Add and/or Subtract from left to right (4) + 4 - 9 = 8 – 9 = ־ 1

Order of Operations Independent Practice 1. (3 x 12) + (3² - 9) = 2. 16 + (4 - ־ 12) ÷ 4² = 3. 8 x 3 + ( ־ 27÷ 9) + 2² =

Order of Operations Independent Practice: Answers 1. (3 x 12) + (3² - 9) = 36 2. 16 + (4 - ־ 12) ÷ 4² = 17 3. 8 x 3 + ( ־ 27÷ 9) + 2² = 25

Self-Reflection • Take a few minutes to reflect upon today’s lesson. Discuss any of the following: – What you learned – What helped you learn – What you still need help with – What changes could be made to better meet your needs – Anything else you feel is important related to today’s lesson

Worksheet Practice: Rules • Work QUIETLY and COOPERATIVELY. • PLEASE do not interrupt the teacher during small group instruction. I will be monitoring all groups and providing feedback. • PLEASE do your best and respect the others around you. • If you finish early raise your hand for next activity.