1. Evaluating Expressions Order of Operations 2 1

2. Warm Up/Do Now Agenda 2 Evaluate: 1)2) 3) What do you notice about the answers to #1 and #2? 40 What do you think caused that? Dividing by 2 and multiplying by one-half give the same result. OBJECTIVE: SWBAT evaluate expressions using the order of operations. LANGUAGE OBJECTIVE: SWBAT identify and correctly use the mathematical vocabulary: expression and evaluate.

3. 1 st Launch-Multiplication/Division? 3 You have learned that there is an order to evaluating expressions correctly. Today you will be learning some important ideas about the order. 2) Now evaluate the expression using the correct order. 1) What are the three operations in the problem? Look at the expression below Order of Operations Agenda

4. 4 In yesterday’s lesson you learned that there is an order to evaluating expressions correctly. Today you will be learning some important ideas about the order. 2) Now evaluate the expression using the correct order. 1) What are the three operations in the problem? Look at the expression below ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Order of Operations 1 st Launch-Multiplication/Division? Agenda

5. 5 What is your answer? What order did you use? Online Calculator So…..What do we do first, multiplication or division? Order of Operations Possible Answers 1 st Launch-Multiplication/Division? Agenda

6. 6 What is your answer? What order did you use? Online Calculator So…..What do we do first, multiplication or division? ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Order of Operations Possible Answers 1 st Launch-Multiplication/Division?

7. 7 The rule is when you have multiplication and division, in the same expression, you evaluate whichever comes first: Ieft to right. Multiplication is done first Division is done first Mini-Summary Lets look at 2 examples. a) b) Optional Proof ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Agenda

8. Proof 8 Let try to explain why multiplication and division is done left to right whichever one comes first. Lets look at divide by 2. Is there an expression that is equivalent to dividing by 2? Now we just do all the multiplication first. You can rewrite dividing by 2 as multiplying by ½. Agenda

9. 9 1) What are the three operations in the problem? Look at the expression below Order of Operations 2) Now evaluate the expression using the correct order. 2 nd Launch-Addition/Subtraction? Agenda

10. 10 1) What are the three operations in the problem? Look at the expression below ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Order of Operations 2) Now evaluate the expression using the correct order. 2 nd Launch-Addition/Subtraction? Agenda

11. 2 nd Launch-Addition/Subtraction? 11 So…..What do we do first, addition or subtraction? Order of Operations You evaluate whichever comes first: left to right. Online Calculator What is your answer? What order did you use? Possible Answers Agenda

12. 12 So…..What do we do first, addition or subtraction? ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Order of Operations You evaluate whichever comes first: left to right. Online Calculator What is your answer? What order did you use? Possible Answers 2 nd Launch-Addition/Subtraction? Agenda

13. 13 The rule is when you have addition and subtraction, in the same expression, you evaluate whichever comes first: Ieft to right. Just like multiplication and division Addition is done first Subtraction is done first Mini-Summary Lets look at 2 examples. a) b) Optional Proof ORDER OF OPERATIONS 1) Parenthesis or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction Agenda

14. Proof 14 Let try to explain why addition and subtraction is done left to right, whichever one comes first. Lets look at subtracting by 10. Is there an expression that is equivalent to subtracting by 10? Now we just do all the addition, but don’t forget to do the multiplication first! You can rewrite subtracting by 10 as adding negative 10. Agenda

15. Launch-Wrap Up 15 Open to your notes. The Order of Operations 1) Parentheses or Grouping Symbols 2) Exponents 3) Multiplication/Division 4) Addition/Subtraction from left to right whichever comes first () () New Understanding Agenda

16. Practice- Example 16 Practice with your partner. Evaluate the expression. Answer Prove the answer by showing your steps. Agenda

17. Practice- Quick Note 17 In Mr./Ms. (Insert teacher’s name)7 th grade math class, this problem will be written another way. For the rest of the lesson, and year, you will see this new way of writing multiplication. So be ready!!!! 7 th grade way What is different? Agenda

18. Practice- Complete the Phrase 18 3. 13 * LOVE 18 * VAMPIRE 86 * THE 8 * FANGS 1. 2. 24 * WITH 20 * IN 58 * DOOR 8 * BLOOD 7. 8. 9. 12 * GOBLIN 70 * ABOUT 81* GIRL 13 * WHO 12. 10. 11. 81 * SPOOK 8 * FELL 66 * THE 29 * NECKS 6. 4. 5. Name_____________________________Date____________ CLASSWORK: ORDERS OF OPERATIONS LESSON 2 DID YOU HEAR……. Directions: Evaluate each expression in each box and find your answer in the column to the right. Write the word next to the answer in the box containing the problem number at the bottom of the page. For each set of exercises, there is one extra answer. SHOW YOUR WORK/STEPS BELOW Agenda

19. Summary- Complete the Phrase 19 Do you need to see the work for any of the problems? 3. 1. 2. 7. 8. 9. 12. 10. 11. 6. 4. 5. Click any expression to review Click here to reveal the answer to the riddle. Agenda

20. Summary- Complete the Phrase 20 Do you need to see the work for any of the problems? 3. 1. 2. 7. 8. 9. 12. 10. 11. 6. 4. 5. Click any expression to review aboutthe vampire whofell in lovewith the girlnecks door Agenda

21. 21 Agenda 1. Click to Return

22. 22 2.2. Click to Return Agenda

23. 23 3.3. Click to Return Agenda

24. 24 4.4. Click to Return Agenda

25. 25 5.5. Click to Return Agenda

26. 26 6.6. Click to Return Agenda

27. 27 7.7. Click to Return Agenda

28. 28 8.8. Click to Return Agenda

29. 29 9.9. Click to Return Agenda

30. 30 10. Click to Return Agenda

31. 31 11. Click to Return Agenda

32. 32 12. Click to Return Agenda