1. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. EDI Lesson Overview 5 th Grade Math Learning Objective: We will evaluate numerical expressions. Focus Standard: 5.OA.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Support Standard: SMP 1, SMP 6 Prerequisite(s): 4.OA.3 Solve multistep word problems posed with whole numbers and having whole number answers using the four operations, … Represent these problems using equations… Manipulative(s): Special Instructions: In Grade 4, students worked with expressions with more than one operation as they represent problems using equations. This lesson should emphasize how grouping symbols dictates the order of applying calculations and how the absence or different placement of these symbols can lead to different results given the same numbers and operations. Vocabulary Academic:evaluate, perform, determine Content:numerical expression Support: Common Core Shifts in Mathematics Shift 1 Focus Shift 2 Coherence Shift 3 Fluency Shift 4 Deep Understanding Shift 5 Application Shift 6 Dual Intensity Standards for Mathematical Practice (SMPs) SMP1 Make sense of problems SMP2 Reason abstractly and quantitatively SMP3 Construct arguments and critique the reasoning of others SMP4 Model with math SMP5 Use appropriate tools SMP6 Attend to precision SMP7 Make use of structure SMP8 Look for regularity in repeated reasoning

2. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Lesson to be used by EDI-trained teachers only. READY TO TEACH SM EDI ® Lessons ©2013 All rights reserved. What are we going to learn? What does evaluate mean? Evaluate means __________. CFU Students, you already know how to evaluate simple expressions. Now, we will evaluate more complex numerical expressions. Make Connection 1 find the value of Vocabulary We will evaluate 1 numerical expressions. Learning Objective Activate Prior Knowledge 1. 4  12 + 38 2. 74 + 25 – 18 Evaluate from left to right.

3. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A numerical expression is made up of numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed 2 first. 3 + [15  (42 – 16)] To evaluate the numerical expression above, which operation would be performed first? How do you know? A 15  42 B 42 – 16 C 3 + 15 In your own words, what is a numerical expression? “A numerical expression is _______.” CFU Evaluating Numerical Expressions 2 begun or done Vocabulary Concept Development 4  [12 – (8 + 2)] With Grouping Symbols 4  12 – 8 + 2 Without Grouping Symbols ( ) parentheses [ ] brackets { } braces Grouping Symbols

4. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 3 figure out Vocabulary Skill Development/Guided Practice 1. (28 + 36)  42. 28 + (36  4) Determine 3 which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 How did I/you determine which operation to perform first? CFU 1 ( ) parentheses [ ] brackets { } braces Grouping Symbols

5. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 3. [ 7  14 ] – 114. 7  [ 14 – 11 ] Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols How did I/you determine which operation to perform first? CFU 1

6. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 5. (28  + 32)  (48 – 18)6. (72  9)  (63 – 13) Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols How did I/you determine which operation to perform first? CFU 1

7. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Skill Development/Guided Practice (continued) A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 7. 6  { 29 – [ 18  3 ] } 8. { 6  [  29 – 18 ] }  3 Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols How did I/you determine which operation to perform first? CFU 1

8. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Evaluating numerical expressions will help you when purchasing goods. Evaluating numerical expressions will help you do well on tests. 1 Does anyone else have another reason why it is relevant to evaluate numerical expressions? (Pair-Share) Why is it relevant to evaluate numerical expressions? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CFU 2 Sample Test Question: 18. Determine if the numerical expression has a value of 52 when evaluated. Select Yes or No for A-D. A (10 + 3)  4O Yes O No B 10 + (3  4)O Yes O No C 40 + [ (6 + 36)  6 ]O Yes O No D 40 + [ 6 + (36  6) ]O Yes O No A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. Relevance Sam’s Electronics is having a special on their Blaze music players. What is the total price for 3 music players? (50  3) – 20 The total price is $130.

9. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. What did you learn today about evaluating numerical expressions? (Pair-Share) Use words from the word bank. A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. Skill Closure Access Common Core Summary Closure Word Bank evaluate perform first parentheses brackets braces Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 1. (27 – 13)  52. (34  + 15)  (62 – 55) Place grouping symbols in the numerical expression so that 16 + 25 is performed first. Then evaluate. How would the expression change if grouping symbols were placed around 25  5 instead? 16 + 25  5 ( ) parentheses [ ] brackets { } braces Grouping Symbols

10. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. Independent Practice 1. [56 + 28]  72. 56 + [28  7] Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols

11. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 3. (10  53) – 28 4. 10  ( 53 – 28) Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols

12. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Independent Practice (continued) A numerical expression is numbers connected by operations (+, –, ,  ). Parentheses, brackets, and braces are used to group operations and numbers. Inner-most groupings are performed first. 5. (47  + 51)  (134 – 34) 6. 50  { 49 – (36  4) } Determine which operation to perform first. (Evaluate) Hint: Perform operations in inner-most groupings, if present. Continue to evaluate to get a final value. Evaluate numerical expressions. 1 2 ( ) parentheses [ ] brackets { } braces Grouping Symbols

13. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 1 Access Common Core 1. (13  20) + 4 Evaluate numerical expressions. 2. 30  [ 27 – (54  6) ] ( ) parentheses [ ] brackets { } braces Grouping Symbols 1. Decide if the value of the expression is less than, equal to, or greater than 52. Write a check mark in the correct column. 2. Decide if the value of the expression is less than, equal to, or greater than 27. Write a check mark in the correct column. Less than 52Equal to 52Greater than 52 A (10 + 3)  4 B 10 + (3  4) C 40 + [ (6 + 36)  6 ] D 40 + [ 6 + (36  6) ] Less than 27Equal to 27Greater than 27 A 54  (6  3) B (12  7) – (34 + 23) C (54  6)  3 D (9  3) + 15

14. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. ( ) [ ] Periodic Review 2 Access Common Core 1. (14  + 36)  (77 – 17) Evaluate numerical expressions. 2. 40  { 58 – 23 } Place ( ), [ ], or { } in the numerical expression to get the value. 1. 32 + 15  4 = 1882. 56  8 – 4 = 143. 32 + 15  4 = 92 4. 20 + 10  8 + 7 = 1705. 56  8 – 4 = 36. 20 + 10  8 + 7 = 450 ( ) parentheses [ ] brackets { } braces Grouping Symbols

15. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. Periodic Review 3 Access Common Core 1. (72  6) + (86 – 59) Evaluate numerical expressions. 2. 40  { 39 – (45  5) } 1. Determine if the numerical expression has a value of 27 when evaluated. Select Yes or No for A-D. A 9  { 36  [ 52 – 40] }O Yes O No B (8 + 19) – (16  2)O Yes O No C (54  6)  3O Yes O No D 27 + (28  7)O Yes O No 2. Determine if the numerical expression has a value of 19 when evaluated. Select Yes or No for A-D. A ( 3  9 ) – ( 72  9 )O Yes O No B (18 – 7 ) + (32  4 )O Yes O No C 3  [ 9 – ( 72  9 )]O Yes O No D 18 – [ 7 + (32  4 )]O Yes O No ( ) parentheses [ ] brackets { } braces Grouping Symbols

16. CCSS 5 th Grade Operations and Algebraic Thinking 1.0 Evaluate numerical expressions. Lesson to be used by EDI-trained teachers only. ©2013 All rights reserved. EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will evaluate numerical expressions. Elaboration Targeted Vocabulary Academic evaluate, perform, determine Content numerical expression Support Demonstration Vocabulary Strategy Multiple-Meaning Synonym perform Definition evaluate, determine, numerical expression Homophone Internal Context Clue Listen, Speak Similar Sounds WriteWriting Read Tracked Reading Comprehensible Input Cognates Contextual Clues Graphic Organizer Contextualized Definitions Pictures Language Strategies Cognitive StrategiesTeaching Strategies Content Access Strategies