1. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Learning Objective Name _____________________ Today, we will solve 1 one-step equations. 1 find the answer CFU What are we going to do today? What does solve mean? Solve means to ______. Activate (or provide) Prior Knowledge Inverse operations are operations that undo each other. What operation would undo the change in value? 1.)2.) 3.)4.) CFU Students, you already know how to use inverse operations to undo a change in value. Today, we will solve one-step equations using inverse operations. 8 2  6 7 3  10 12 3  4 3 5  15    × Inverse Operations  and  ● and 

2. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Concept Development CFU #1 Which inverse operations would be used to solve the one-step equation x − 4  6 ? How do you know? A AdditionB Subtraction A one-step equation contains 2 one operation. 2 has within it x  2  3 addition division A one-step equation requires 3 one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. 3 needs Solving One-Step Equations x  2  3 − 2 Inverse OperationBalance − 2 x  1 Inverse Operation 4 4  Balance  4 4 x  1 The solution is the value of the variable that makes the equation true. Checking a Solution x  2  3 Solution (1)  2  3 ? True 3  3 x  1 x  2  3 (4)  2  3 ? False 6  3 x  4 NOT a Solution Go to Skill Dev. #1 Go to Skill Dev. #2 CFU #2 Which inverse operations would be used to solve the one-step equation 4 x  8 ? How do you know? A MultiplicationB Division What is the difference between the solution ( x  1 ) and non-solution ( x  4 )? Flashcards: Inverse Operations Clarification and CFU: Solving One-Step Equations Inverse Operations  and  ● and 

3. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Concept Development (Clarification and CFU) CFU Why is 2 subtracted on both sides of the equation? Why is 1 the solution to the equation x + 2 = 3 ? A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Return to Concept xxx x  2 x   3 Inverse Operations  and  ● and 

4. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Isabella is baking muffins. The recipe calls for 8 cups of sugar. Isabella has already added 3 cups of sugar. How many more cups of sugar does she need to add? 2. Yesterday, Samuel had $7. He was given more money today and now has $10. How much money was Samuel given today? 3. Shannon had some money in her pocket. She spent $4 of it on school supplies. She now has $11. How much money did she start with? 4. Jessie had a handful of marbles. He gave 5 of them away and now has 8. How many marbles did Jessie start with? 5 + 3 = 8  3 Solve one-step equations.  3 c  5 CFU (#1) How did I/you connect the problem to the equation? (#2) How did I/you solve for the variable? (#3) How did I/you interpret the solution? Skill Development/Guided Practice #1 A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) Return to Concept Isabella needs to add ______________________. 5 cups of sugar 8 = 8 Samuel was given ___________________ today. 3 + 7 = 10  7 m  3 $3 10 = 10 15  4 = 11  4 m  15 Shannon started with ______________________. $15 11 = 11 c + 3 = 8 m + 7 = 10 m  4 = 11 13  5 = 8  5 m  13 Jessie started with ______________________. 13 marbles 8= 8 m  5 = 8 Inverse Operations  and  ● and 

5. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Binders cost $2 each. If Miguel has $12, how many binders can he buy? 2. A box of pencils has 6 pencils inside. If Rosalina has 24 pencils, how many pencils are in each box? 3. Isabella gave out muffins to her 6 friends. If each friend was given 4 muffins, how many muffins did Isabella give out? 4. Ricky and his two friends earned money doing chores for his neighbor. After splitting the money, they each got $7, how much money did they earn together? 2(6) = 12 Solve one-step equations. Skill Development/Guided Practice #2 A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) Miguel can buy ______________________. 6 binders 12 = 12 2 2 2 b = 12 b  6 6(4) = 24 There are ______________________. 4 pencils in each box 24 = 24 6 6 6 b = 24 b  4 4 ●● 4 m  24 Isabella gave out ______________________. 24 muffins 6 = 6 3 ●● 3 m  21 Ricky and his friends earned ___________________. $21 7 = 7 CFU (#1) How did I/you connect the problem to the equation? (#2) How did I/you solve for the variable? (#3) How did I/you interpret the solution? Inverse Operations  and  ● and 

6. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Relevance CFU Does anyone else have another reason why it is relevant to solve one-step equations? (pair-share) Why is it relevant to solve one-step equations? You may give me one of my reasons or one of your own. Which reason is more relevant to you? Why? 5x – 6 = 4 + 6 + 6 5x = 10 5 5 x = 2 1.Solving one-step equations will help you solve more complex equations. 2. Solving one-step equations will help you do well on tests. A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true.

7. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What did you learn today about solving one-step equations? Day 1 ______________________________________________________________________ Day 2 ______________________________________________________________________ 1. Angelina needs to save $20. She has already saved $9. How much more money does Angelina need to save? 2. A can of tennis balls has 3 tennis balls inside. If Frank has 18 tennis balls, how many cans of tennis balls does he have? Skill Closure Summary Closure A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. 8 ______________________________________________________________________ Sam is trying to solve the equation on the left. After applying one inverse operation, his solution was m = 8. Explain why his solution is incorrect and what possible error he may have made. Sam’s solution Constructed Response Closure Solve one-step equations. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) 11 + 9 = 20  9 m  11 Angelina needs to save ______________________. $11 20 = 20 m + 9 = 20 3(6) = 18 Frank has ______________________. 6 cans of tennis balls 18 = 18 3 3 3 c = 18 b  6 Inverse Operations  and  ● and 

8. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Gabriel is baking cookies. The recipe calls for 6 cups of flour. If Gabriel has already added 2 cups of flour, how much more flour does he need to add? 2. Louisa had a handful of nickels. She gave 8 of them away and now has 4. How many nickels did Louisa start with? 3. Books cost $5 each. If Mathew has $35, how many books can he buy? 4. Jenny and her 4 friends earned money selling sugar free lemonade. After splitting the money, they each got $9. How much money did they earn together? Independent Practice Name _________________________ Solve one-step equations. A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) 4 + 2 = 6  2 c  4 Gabriel needs to add ______________________. 4 cups of flour 6 = 6 c + 2 = 6 12  8 = 4  8 n  12 Louisa started with ______________________. 12 nickels 4 = 4 n  8 = 4 5(7) = 35 Mathew can buy ______________________. 7 books 35 = 35 5 5 5 b = 35 b  7 5 ●● 5 m  45 Jenny and her friends earned ___________________. $45 9 = 9 Inverse Operations  and  ● and 

9. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Carmella is baking biscuits. The recipe calls for 11 cups of flour. She has already added 6 cups. How much does she still have to add? 2. Fernando is building a bookshelf. He has used 26 pieces. He has 12 of the pieces left. How many pieces does the bookshelf have? 3. Claire made 6 batches of meatballs. She made a total of 48 meatballs. How many meatballs does each batch make? 4. Tyrone and his three friends are going to split a box of crackers. They each get 14 crackers. How many crackers were in the box? Periodic Review 1 Name _________________________ Solve one-step equations. A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) 5 + 6 = 11  6 c  5 Carmella needs to add ______________________. 5 cups of flour 11 = 11 c + 6 = 11 38  26 = 12  26 n  38 The bookshelf has ______________________. 38 pieces 12 = 12 n – 26 = 12 6(8) = 48 Claire made ______________________. 8 meatballs 48 = 48 6 6 6 m = 48 b  8 4 ●● 4 m  56 There were ______________________. 56 crackers in the box 14 = 14 Inverse Operations  and  ● and 

10. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Larissa has 17 dollars. She gets her allowance. Now she has 28 dollars. How much was her allowance? 2. A set of colored pencils has 45 pencils taken out. There are currently 29 pencils left. How many pencils were there originally? 3. Geoffrey earns $7 for mowing lawns. Last month, he earned $42. How many lawns did he mow? 4. Thomas and his 5 friends made cookies. They shared them equally and each got 13. How many cookies did they make altogether? Periodic Review 2 Name _________________________ Solve one-step equations. A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) 17 + 11 = 28  17 a  11 Larissa’s allowance is ______________________. $11 28 = 28 17 + a = 28 74  45 = 29  45 n  74 There were __________________ originally. 74 pencils in the set 29 = 29 p  45 = 29 7(6) = 42 Geoffrey mowed ______________________. 6 lawns 42 = 42 7 7 7 m = 42 b  6 6 ●● 6 c  78 Thomas and his friends made __________________. 78 cookies 13 = 13 Inverse Operations  and  ● and 

11. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. 1. Estevan worked on his English homework for 25 minutes. He finished all his homework in 57 minutes. How long did it take him to finish the rest of his homework? 2. Elizabeth had several colored pencils. She gave out 14 of them to her friends and how has 13. How many pencils did she start with? 3. Javier can make 7 paper airplanes each hour. If he made 28 airplanes, how long did he spend making them? 4. Adolfo and his six friends earn money doing yard work. After splitting up the money, they each got 15 dollars. How much money did they earn together? Periodic Review 3 Name _________________________ Solve one-step equations. A one-step equation requires one inverse operation to solve for the variable. To keep an equation balanced, inverse operations must be done on both sides of the equation. The solution is the value of the variable that makes the equation true. Step #1: Read the problem and connect it to the equation. Step #2: Solve for the variable. Hint: Use the inverse operation. Step #3: Check and interpret the solution. (Answer the question.) 25 + 32 = 57  25 h  32 It took Estevan ______________________. 32 minutes 57 = 57 25 + h = 57 27  14 = 13  14 c  27 Elizabeth had ______________________. 27 pencils 13 = 13 c  14 = 13 7(4) = 28 Javier spent ______________________. 4 hours making airplanes 28 = 28 7 7 7 a = 28 a  4 7 ●● 7 y  105 Adolfo and his friends earned ___________________. $105 15 = 15 Inverse Operations  and  ● and 

12. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Blank Page

13. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? SubtractionAddition Concept Development (Flashcard 1 of 6) x  4  7 A one-step equation requires one inverse operation to solve for the variable.

14. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? AdditionSubtraction Concept Development (Flashcard 2 of 6) x  6  3 Return to Concept A one-step equation requires one inverse operation to solve for the variable.

15. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? MultiplicationDivision Concept Development (Flashcard 3 of 6) 5 x  25 A one-step equation requires one inverse operation to solve for the variable.

16. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? DivisionMultiplication Concept Development (Flashcard 4 of 6) A one-step equation requires one inverse operation to solve for the variable.

17. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? AdditionSubtraction Concept Development (Flashcard 5 of 6) x  7  8 A one-step equation requires one inverse operation to solve for the variable.

18. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. What is the operation of the equation? What inverse operation would be used to solve the equation? How do you know? MultiplicationDivision Concept Development (Flashcard 6 of 6) 7 x  49 Return to Concept A one-step equation requires one inverse operation to solve for the variable.

19. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Learning Objective : Today, we will solve one-step equations. Cognitive StrategiesTeaching Strategies ElaborationDemonstration Targeted vocabulary: solve, inverse operations, contains, requires Language Strategies Vocabulary Words Academic solve, contains, requires Content inverse operations Support Vocabulary Strategy Multiple-Meaning Synonym requires Definition solve, inverse operations, contains 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

20. DataWORKS Educational Research (800) 495-1550 www.dataworks-ed.com ©2012 All rights reserved. Comments? feedback@dataworks-ed.com 6 th Grade Algebra and Functions 1.1 (6Q) Write and solve one-step linear equations in one variable. Lesson to be used by EDI-trained teachers only. Blank Page