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# DataWORKS Educational Research (800) 495-1550 ©2012 All rights reserved. Comments? 6 th Grade Number Sense.

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DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Learning Objective Name _____________________ Today, we will subtract integers. *Prerequisite: 6 th Grade Number Sense 2.3 Add Integers CFU What are we going to do today? CFU Students, you already know how to add integers using the addition integer rules. Today, we will use the addition integer rules to subtract integers. 1. 5 + (-2) = 2. -4 + (-3) = 3 +– -7-7 –– Add the integers. Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos) Activate (or provide) Prior Knowledge

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Concept Development The addition integer rules are determined by the signs of the integers to be added. Addition Integer Rules Same SignDifferent Sign (  Pos)  (  Pos)   Pos(  Neg)  (  Neg)   Neg Find the S um and keep the sign.  1  (  3)   4  2  (  5)   7 (  Pos)  (  Neg)(  Neg)  (  Pos)  1  (  5)   4  2  (  3)   1 Find the D ifference and keep the sign of the larger number. CFU On your whiteboard, write a positive integer. How do you know it is a positive integer? On your whiteboard, write a negative integer. How do you know it is a negative integer? Which of the following shows the subtraction problem  5  (  7) changed to add the opposite? How do you know? A  5 + (  7)B  5 + (  7) Using Addition Integer Rules, will  4 +  7 be negative or positive ? How do you know? Subtraction means to add the opposite. To subtract integers, add the opposite using addition integer rules.  2  (  5)  2  (  5)  2  (  5)   7  2  (  5)   3 Positive integers can be shown with a ( + ) sign or with no sign at all. Negative integers must be shown with a (  ) sign. An integer is a positive whole number or negative whole number. + 3 and 3 Positive Integer 33 Negative Integer

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Skill Development/Guided Practice Subtract integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify 1 the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate 2 using addition integer rules. 1 find 2 solve mathematically CFU (#2)How did I/you change the subtraction problem to add the opposite? (#3)How did I/you calculate using the correct integer rule? The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. 1. 4 – 2 =2. 6 – 1 = 3. – 2 – 7 =4. – 3 – 4 = 5. 6 – ( – 5) =6. 5 – ( – 4) = 7. – 7 – ( – 3) =8. – 6 – ( – 2) = 4 + ( – 2) = +2+2 +– 6 + ( – 1) = +5+5 +– – 2 + ( – 7) = 99 –– – 3 + ( – 4) = 77 –– 6 + + 5 = + 11 ++ 5 + + 4 = +9+9 ++ – 7 + + 3 = 44 –+ – 6 + + 2 = 44 –+ Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. CFU Does anyone else have another reason why it is relevant to subtract integers? (pair-share) Why is it relevant to subtract integers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why? Relevance 1. Subtracting integers will help you manage money. 2. Subtracting integers will help you do well on tests. 8  10 = 8  (  10) =  2 The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. Mr. Maxfield had \$8 in his bank account this morning; then wrote a check for \$10 at the supermarket. Will his account be overdrawn 3 ? 3 take out more than is available Yes, his account will be overdrawn because it will have \$  2. Sample Test Question:  5  7 A 12 B  12 C 2 D  2

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. – 5 + ( – 3) = -8-8 – – 8 + + 4 = + 12 ++ Subtract integers. The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. Constructed Response Closure 1. – 5 – 3 =2. 8 – ( – 4) = Skill Closure Bethany is subtracting integers. She needs to change the subtraction problem of  2  (  7) to add the opposite. Explain how she would complete this step. __________________________________________________ Summary Closure What did you learn today about subtracting integers? Day 1 _____________________________________________________________________________________ __________________________________________________________________________________________ Day 2 _____________________________________________________________________________________ __________________________________________________________________________________________ Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate using addition integer rules. Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Independent Practice 8 + – 5 = +3+3 4 + – 3 = +1+1 – 7 + – 2 = -9-9 – 6 + – 5 = - 11 +– +– –– –– 9 + + 2 = + 11 ++ 3 + + 6 = +9+9 ++ – 1 + + 4 = +3+3 –+ – 9 + + 5 = -4-4 –+ Name __________________________ Subtract integers. The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. 1. 8 – 5 =2. 4 – 3 = 3. – 7 – 2 =4. – 6 – 5 = 5. 9 – – 2 =6. 3 – – 6 = 7. – 1 – – 4 =8. – 9 – – 5 = Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate using addition integer rules. Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Periodic Review 1 3 + – 6 = -3-3 2 + – 9 = -7-7 – 5 + – 2 = -7-7 – 8 + – 7 = - 15 +–+– –––– 4 + + 5 = +9+9 ++ 2 + + 1 = +3+3 ++ – 3 + + 7 = +4+4 –+ – 6 + + 1 = -5-5 –+ Name __________________________ Subtract integers. The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. 1. 3 – 6 =2. 2 – 9 = 3. – 5 – 2 =4. – 8 – 7 = 5. 4 – – 5 =6. 2 – – 1 = 7. – 3 – – 7 =8. – 6 – – 1 = Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate using addition integer rules. Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Periodic Review 2 1 + – 5 = -4-4 7 + – 9 = -2-2 – 2 + – 6 = -8-8 – 5 + – 4 = -9-9 +– +– –––– 8 + + 1 = +9+9 ++ 7 + + 7 = + 14 ++ – 2 + + 5 = +3+3 –+ – 9 + + 8 = -1 –+ Name __________________________ Subtract integers. The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. 1. 1 – 5 =2. 7 – 9 = 3. – 2 – 6 = 4. – 5 – 4 = 5. 8 – – 1 = 6. 7 – – 7 = 7. – 2 – – 5 = 8. – 9 – – 8 = Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate using addition integer rules. Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Periodic Review 3 5 + – 9 = -4-42 + – 8 = -6-6 – 3 + – 4 = -7-7 – 1 + – 9 = - 10 +– +– –– –– 5 + + 2 = +7+7 ++ 6 + + 6 = + 12 ++ – 8 + + 3 = -5-5 –+ – 7 + + 6 = -1 –+ Name __________________________ Subtract integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Change the subtraction problem to add the opposite. Step #3: Identify the sign (+ or  ) of each integer. Hint: Write the sign above each integer. Step #4: Calculate using addition integer rules. The addition integer rules are determined by the signs of the integers to be added. Subtraction means to add the opposite. 1. 5 – 9 =2. 2 – 8 = 3. – 3 – 4 = 4. – 1 – 9 = 5. 5 – – 2 = 6. 6 – – 6 = 7. – 8 – – 3 =8. – 7 – – 6 = Addition Integer Rules Same SignDifferent Sign Find the S um and keep the sign. Find the D ifference and keep the sign of the larger number. (  Pos)  (  Pos)   Pos (  Neg)  (  Neg)   Neg (  Pos)  (  Neg) (  Neg)  (  Pos)

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Blank Page

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Learning Objective : Today, we will add integers. Cognitive StrategiesTeaching Strategies ElaborationDemonstration Targeted vocabulary: identify, calculate, overdrawn Language Strategies Vocabulary Words Academic identify, calculate, overdrawn Content Support Vocabulary Strategy Multiple-Meaning Synonym identify Definition calculate, overdrawn Homophone Internal Context Clue Listen, SpeakSimilar Sounds Read Tracked Reading Decoding Rules Write Writing Content Access Strategies Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures EDI – Cognitive, Teaching and English Learners Strategies

DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Number Sense 2.3 (6Q) Solve addition, subtraction, multiplication, and division problems including those arising in concrete situations that use positive and negative integers and combinations of these operations. Lesson to be used by EDI-trained teachers only. Blank Page

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