Participating Teacher: Lindsey Empson Support Provider: Angela Freeman Subject: Math Grade: 5th Standard: Number Sense 2.1 Add, subtract, multiply, and divide with decimals; add with negative integers; subtract positive integers from negative integers; and verify the reasonableness of the results. Lesson Objective: Today, we will add positive and negative integers. Anticipatory Set: Teacher will put the following numbers on the board one at a time: -3, +5, +21 -6 Teacher will ask students to find the opposite and absolute value of each number. The teacher will say, “You know how to identify the opposite and absolute value of each integer. Today you will use that knowledge to add both positive and negative integers. Teaching Instructional Process: Teacher will review definition for positive and negative integers and zero pairs. 1. Teacher will pass out integer tiles. Teacher will write +7 ++ 9 on the board. Teacher will model what this looks like with her integer tiles (+ + + + + + +) (+ + + + + + + + +) . Teacher will ask, how many positive tiles do I have? (16) 2. Teacher will model what adding these two positive integers looks like on a number line. 3. Teacher will write +6 + +5. Teacher will ask students to model this with their integer tiles. (+ + + + + +) (+ + + + +). Students will write their answer on their white boards. (+5) 4. Teacher will ask students what they notice when adding two positive numbers. (The answer is positive) Teacher will repeat 1-4 with two negative integers. (-12 + -3) (-8 + -4) Teacher will have students write the rules for adding integers in their math notebooks. 1. 2. 3. 4. 5. o Adding two positive integers: add the positive integers. your answer will be positive o Adding two negative numbers: add the absolute value of each integer; your answer will be negative. Teacher will write -12 + +9 on the board. Teacher will model what this looks with integer tiles. (- - - - - - - - - - - -) ( + + + + + + + + +). Teacher will remind students about zero pairs , when you add a negative and a positive the answer is zero. So when you are adding negative and positives with the integer tiles you can match up a negative and positive to equal zero. (- + - + - + - + - + - + - + - + - +) The teacher will ask what is left over. (three negative tiles. - - -). So your answer is what is -3 Teacher will model what adding these two positive integers looks like on a number line. Teacher will write -15 + +5. Teacher will ask students to model this with their integer tiles. (- - - - - - - - - - - - - - - ) (+ + + + +). Teacher will ask students to match zero pairs (a positive and a negative) Then write what is left over on their on their white boards. (-10) Teacher will repeat steps 1-3 with -6 ++12 and -4 + +9. Teacher will ask students what they notice about their answers when adding a negative and positive. (The answer has the sign of the number with the greater absolute value. Teacher will have students write the rules for adding a positive and negative integer in their notebooks. When adding a positive and negative number: subtract the absolute values. Then your answer gets the sign of the integer with the greatest absolute value. Guided Practice: The teacher will write (-5) + (-8) on the board. Next, the teacher will say, “When adding two negative numbers, we add the absolute values of each number, so 5 + 8 = 13. Then our answer is negative because both of our addends are negative. Independent Practice: Students will complete the Adding Integers page in the Homework and Problem Solving workbook.
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