Learning Objective We will write numerical expressions CFU

Learning Objective We will write numerical expressions. CFU What are we going to do? Activate Prior Knowledge Match the words to the expression. 1. The sum of six and eight. 6+8 2. The product of eight and five. 9 3 3. The quotient of nine and three. 8 × 5 4. The difference of nine and three. 9 -3 Make Connection Students, you already know how to write simple expressions. Now, we will write more complex numerical expressions. SM EDI® Lessons READY TO TEACH © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them. For example, express the calculation “add 8 and 7, then multiply by 2” as 2 × (8 + 7). Recognize that 3 × (18932 + 921) is three times as large as 18932 + 921, without having to calculate the indicated sum or product. Lesson to be used by EDI-trained teachers only.

Concept Development A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare 1 a group of operations. Writing Numerical Expressions Grouping Symbols ( ) “Six plus eight times five. ” parentheses [ ] { } brackets braces CFU On your whiteboards, write an example of a numerical expression. How do you know it is a numerical expression? Which numerical expression below would be read as: “the difference of nine and five, multiplied by three. ” “Add six and eight , then multiply by five. ” A 9– 5× 3 B (9 – 5) × 3 “The sum of six and eight , multiplied by five. ” In your own words, what is a numerical expression? A numerical expression is ____. Vocabulary 1 © 2013 All rights reserved. say CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare a group of operations. CFU Write numerical expressions. 1 Read the description of the expression. a Identify 2 numbers (underline) and operations (circle). 2 Write the numerical expression. 1 a How did I/you identify numbers and operations? 2 How did I/you write the numerical expression? 1. Twenty-one divided by seven plus four. 2. Five times eight minus nine. 21 7 + 4 5 × 8 -9 Grouping Symbols ( ) parentheses [ ] { } brackets braces 3. Eighteen minus five times three. 4. Three plus sixteen divided by two. 18 – 5 × 3 5. Add nine and one, then multiply by seven. (9 + 1) × 7 3 + 16 2 6. Subtract eleven and two, then divide by three. (11 – 2) 3 Application Interpret the numerical expressions. is four times the difference of 105 and 9. T: (105 – 9) × 4 ____________________________ S: (54 + 36) × 3 ____________________________ is three times the sum of 54 and 36. Vocabulary 2 © 2013 All rights reserved. find CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Skill Development/Guided Practice (continued) A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare a group of operations. CFU Write numerical expressions. 1 Read the description of the expression. a Identify numbers (underline) and operations (circle). 2 Write the numerical expression. 1 a How did I/you identify numbers and operations? 2 How did I/you write the numerical expression? 7. The difference of twenty-one and three, divided by nine. 8. The sum of twelve and six, times seventeen. (21 – 3) 9 (12 + 6) × 17 9. Half of the difference between eight and four. 1 2 × (8 – 4) Grouping Symbols ( ) parentheses [ ] { } brackets braces 10. Triple the sum of six and nine. 3 × (6 + 9) Application Interpret the numerical expressions. is one-third of the difference between 95 and 74. T: (95 – 74) 3 ____________________________ S: (45 + 29) 2 ____________________________ is half of the sum of 45 and 29. © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Relevance A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare a group of operations. 1 Writing numerical expressions will help you understand mathematical expressions in the real world. 2 Writing numerical expressions will help you do well on tests. Sample Test Question: 32. Which expression shows fifteen minus eight times three? A B C D © 2013 All rights reserved. 15 - 8 3 (15 - 8) 3 8 - 15 3 (8 - 15) 3 CFU Does anyone else have another reason why it is relevant to write numerical expressions? (Pair-Share) Why is it relevant to write numerical expressions? You may give one of my reasons or one of your own. Which reason is more relevant to you? Why? CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare a group of operations. Skill Closure Write numerical expressions. 1 Read the description of the expression. a Identify numbers (underline) and operations (circle). 2 Write the numerical expression. Grouping Symbols ( ) parentheses 1. Three plus eleven times two. 2. The difference of seven and six, times twelve. 3 + 11 × 2 (7 – 6) × 12 Access Common Core Describe and correct the error in writing the numerical expression. [ ] { } brackets braces Word Bank numerical expressions operations grouping symbols The sum of seven and eight, divided by three. Summary Closure What did you learn today about writing numerical expressions? (Pair-Share) Use words from the word bank. © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Independent Practice A numerical expression is made up of numbers connected by operations (+, –, , ). • Grouping symbols are used to group operations and numbers. • The words sum, difference, product, and quotient declare a group of operations. Write numerical expressions. 1 Read the description of the expression. a Identify numbers (underline) and operations (circle). 2 Write the numerical expression. 1. Twenty-seven divided by three times seven. 27 3 7 3. Six times eight plus four. 6× 8+4 5. The sum of nineteen and six, divided by five. (19 + 6) 5 Grouping Symbols ( ) parentheses [ ] { } brackets braces 2. Sixteen minus eight plus four. 16 - 8 + 4 4. Add twenty and four, then divide by six. (20 + 4) 6 6. Twice the difference of thirteen and three. 2 × (13 – 3) Application Interpret the numerical expressions. is three times the sum of 15 and 9. S: (15 + 9) × 3 ____________________________ S: (45 + 29) 2 ____________________________ is half the sum of 45 and 29. © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Periodic Review 1 1. Twelve divided by six plus nine. 2. Twenty-four divided by eight minus one. 12 6 + 9 3. Forty-six plus four times three. 46 + 4 × 3 5. Add twenty-five and three, then divide by seven. (25 + 3) 7 24 8 – 1 4. Forty-eight plus nine divided by three. 48 + 9 3 6. Add twenty-two and two, then divide by six. (22 + 2) 6 Access Common Core Interpret each numerical expression. 1. 2 × (24 - 14) 2. (19 + 6) × 4 3. (36 - 9) 3 © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Periodic Review 2 1. Subtract forty-nine and thirtythree, then divide by four. 2. Thirty-two divided by four plus twenty-six. (49 – 33) 4 3. The sum of thirty-seven and three, divided by five. 32 4 + 26 4. Twelve plus forty-four divided by eleven. (37 + 3) 5 12 + 44 11 Access Common Core Match each expression to its written description. 2 × (16 - 13) (22 + 3) × 4 40 - 25 3 22 + 3 × 4 (40 - 25) 3 2 × 16 - 13 © 2013 All rights reserved. Forty minus twenty-five divided by three. Twenty-two plus three times four. Two times sixteen minus thirteen. Add twenty-two and three, then multiply by four. Twice the difference of sixteen minus thirteen. The difference between forty and twenty-five, divided by three. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

Periodic Review 3 1. Five plus thirty-four divided by two. 2. Ten times the sum of six and three. 5 + 34 2 10 × (6 + 3) Access Common Core 1. Choose Yes or No to indicate whether each expression correctly matches the written description. A 10 × 3 - 22 Ten times three minus twenty-two. O Yes O No B 2 × (44 - 16) Two times forty-four minus sixteen. O Yes O No C (23 - 13) 5 Subtract twenty-three and thirteen, then divide by five. O Yes O No 2. Choose Yes or No to indicate whether each expression correctly matches the written description. A 3 × (4 + 6) Triple the sum of four and six. O Yes O No B (14 - 7) 7 Fourteen minus seven divided by seven. O Yes O No Subtract four from seven, then multiply by two. O Yes O No C 7 -4× 2 3. Choose Yes or No to indicate whether each expression correctly matches the written description. A 10 2 + 3 Ten divided by two plus three. O Yes O No B 6 × (5 + 1) Six times the sum of five and one. O Yes O No C (48 - 24) 6 The difference of forty-eight and twenty-four, divided by six. O Yes O No © 2013 All rights reserved. CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.

EDI – Cognitive, Teaching, and English Learner Strategies Learning Objective: We will write numerical expressions. Cognitive Strategies Elaboration Teaching Strategies Demonstration Language Strategies Targeted Vocabulary Academic Content declare, identify numerical expression Support Multiple-Meaning Vocabulary Strategy Synonym Definition declares, identify numerical expression Homophone Internal Context Clue Listen, Speak Similar Sounds Read Tracked Reading Write Writing Content Access Strategies Comprehensible Input Cognates Graphic Organizer Contextual Clues © 2013 All rights reserved. Contextualized Definitions Pictures CCSS 5 th Grade Operations and Algebraic Thinking 2. 0 Write numerical expressions. Lesson to be used by EDI-trained teachers only.