1. 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 add integers. CFU What are we going to do today? Activate (or provide) Prior Knowledge Jack owes $10 to his brother. How much will he owe if the following happens? 1.Jack receives $5 from his mom2. Jack receives $7 from his momand uses it to pay his brother. 3.Jack borrows $4 more4. Jack borrows $8 more from his brother. from his brother. CFU In math, money that we receive is considered a positive amount and money that we owe is considered a negative amount. Today, we will use this idea to add integers. $10–$5= $10–$7=$3 $10+$4=$14$10+$8=$18

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. Concept Development The addition integer rules are determined by the signs of the integers to be added. Addition Integer Rules Same Sign (  Pos)  (  Pos)   Pos(  Neg)  (  Neg)   Neg Find the S um and keep the sign.  1  (  3)   4  2  (  5)   7 Different Sign (  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? Using Addition Integer Rules, will  3 +  5 be negative or positive ? How do you know? 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 a negative whole number. + 3 and 3 Positive Integer 33 Negative Integer

3. 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 Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify 1 the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate 2 using the correct addition integer rule. 1 find 2 solve mathematically CFU (#1) How did I/you know how to read the problem? (#3) How did I/you know which addition integer rule to use? 1. 4 + 2 =2. 5 + 3 = 3. -6 + (-3) =4. -4 + (-1) = 5. 3 + (-7) =6. 5 + (-6) = 7. -2 + 2 =8. -3 + 5 = ++ + ++ + –– 9 –– - +– - +– - –+ 0 –+ + 0 is not positive or negative 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) The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 6 - 4 8 5 1 2

4. 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 add integers? (pair-share) Why is it relevant to add integers? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why? Relevance 1.Adding integers helps businesses determine whether they are gaining or losing money. 2.Adding integers will help you do well on tests. Sample Test Question 42. -4 + (-3) A -7 B -1 C 1 D 7 The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. Lemonade Stand SalesLemonade $20 Total Sales $20 CostLemons -$5 Sugar - $3 Cups - $2 Total Cost -$10 Total$10

5. 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 Closure Add integers. 1. -5 + (-7) =2. 6 + -4 = –– - +– + Summary Closure What did you learn today about adding integers? Day 1 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Day 2 __________________________________________________________________________________________________ _______________________________________________________________________________________________________ Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. Constructed Response Closure James is adding -7 and 5. He thinks that he will have a negative answer. Do you agree with James? Explain your answer._________________________________________________________________________________________________________________ The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) 12 2

6. 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 1. 7 + 4 =2. 2 + 8 = 3. -8 + (-5) =4. -4 + (-5) = 5. 8 + (-1) =6. 9 + (-7) = 7. -3 + 2 =8. -7 + 8 = ++ + ++ + –– - –– - +– + +– + –+ - –+ + Name __________________________ Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) 1110 13 9 72 11

7. 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 1. 6 + 9 =2. 1 + 9 = 3. -3 + (-3) =4. -9 + (-3) = 5. 4 + (-8) =6. 6 + (-1) = 7. -7 + 4 =8. -2 + 6 = ++ + ++ + –– - –– - +– - +– + –+ - –+ + Name __________________________ Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) 15 10 6 12 4 5 3 4

8. 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. 8 + (-3) =2. -8 + 9 = 3. -6 + (-7) =4. -2 + 7 = 5. 8 + (-8) =6. 5 + (-9) = 7. -7 + 10 =8. -2 + (-3) = + – + –+ + –– - –+ + +– 0 +– - –+ + –– - 0 is not positive or negative Name __________________________ Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) 51 13 5 4 3 5

9. 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 1. 2 + (-10) =2. -3 + 9 = 3. -5 + (-5) =4. 6 + (-10) = 5. 6 + (-1) =6. -8 + (-6) = 7. -1 + 1 =8. -7 + (-1) = + – - –+ + –– - +– - +– + –– - –+ 0 –– - 0 is not positive or negative Name __________________________ Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) 86 10 4 5 14 8

10. 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 4 1. -6 + (-3) =2. 4 + (-20) = 3. -11 + (-1) =4. -4 + (-12) = 5. 3 + (-19) =6. 8 + (-4) = 7. -20 + (-20) =8. -10 + 5 = – – +– –– –– +– +– –– –+ Name __________________________ Add integers. Step #1: Read the problem carefully. Hint: Use the words positive and negative. Step #2: Identify the sign (+ or –) of each integer. Hint: Write the sign above each integer. Step #3: Calculate using the correct addition integer rule. The addition integer rules are determined by the signs of the integers to be added. An integer is a positive whole number or a negative whole number. 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) -- - - - + - - 916 12 16 4 40 5

11. 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 Language Strategies Vocabulary Words Academic identify, calculate Content Support Vocabulary Strategy Multiple-Meaning Synonym identify Definition calculate 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

12. 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