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21 st Century Lessons Evaluating Expressions Order of Operations 2 1.

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1 21 st Century Lessons 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 Agenda: 1) Warm Up 2) 1 st Launch Mini Summary 6) Assessment/ Independent OBJECTIVE: SWBAT evaluate expression using the order of operations. LANGUAGE OBJECTIVE: SWBAT identify the words expression and evaluate. Independent Multiplication/Division?- Whole Class and Partners 3) 2 nd Launch 5) Practice Wrap Up Example Quick Note Summary Partners Whole Class Addition/Subtraction?- Whole Class and Partners Whole Class Complete the Phrase- Partners Complete the Phrase- Whole Class Mini Summary Whole Class 4) Practice Agenda

4 1 st Launch-Multiplication/Division? 4 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

5 5 In yesterdays 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

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 Possible Answers 1 st Launch-Multiplication/Division? Agenda

7 7 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?

8 8 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

9 Proof 9 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

10 10 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

11 11 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

12 2 nd Launch-Addition/Subtraction? 12 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

13 13 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

14 14 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

15 Proof 15 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 dont forget to do the multiplication first! You can rewrite subtracting by 10 as adding negative 10. Agenda

16 Launch-Wrap Up 16 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

17 Practice- Example 17 Practice with your partner. Evaluate the expression. Answer Prove the answer by showing your steps. Agenda

18 Practice- Quick Note 18 In Mr./Ms. (Insert teachers 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

19 Practice- Complete the Phrase * LOVE 18 * VAMPIRE 86 * THE 8 * FANGS * WITH 20 * IN 58 * DOOR 8 * BLOOD * GOBLIN 70 * ABOUT 81* GIRL 13 * WHO * SPOOK 8 * FELL 66 * THE 29 * NECKS 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

20 Summary- Complete the Phrase 20 Do you need to see the work for any of the problems? Click any expression to review Click here to reveal the answer to the riddle. Agenda

21 Summary- Complete the Phrase 21 Do you need to see the work for any of the problems? Click any expression to review aboutthe vampire whofell in lovewith the girlnecks door Agenda

22 22 Agenda 1. Click to Return

23 Click to Return Agenda

24 Click to Return Agenda

25 Click to Return Agenda

26 Click to Return Agenda

27 Click to Return Agenda

28 Click to Return Agenda

29 Click to Return Agenda

30 Click to Return Agenda

31 Click to Return Agenda

32 Click to Return Agenda

33 Click to Return Agenda

34 Assessment Complete the below: things you have learned today. questions you still have. expression to evaluate. 38 Agenda

35 35 1 st Time Users of 21 st Century Lessons There are several features which have been incorporated into our PowerPoint lessons to help make lessons run more smoothly as well as to give you access to additional resources during the lesson should you want them. These features include: Agenda Shortcuts – On the agenda slide, click on any section title and you will advance to that section. Click the agenda button on any slide to return to the agenda. Action Buttons – On certain slides words will appear on the chalk or erasers at the bottom of the chalkboard. These action buttons give you access to optional resources while you teach. The most common action buttons are: Scaffolding – gives on-screen hints or help for that slide Answers – reveals answers to questions on that slide Challenge – brings up a challenge questions for students Agenda – will return you to the agenda at the beginning of the lesson Features built into each PowerPoint lesson Back to OverviewNext Slide


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