Common Core Learning Standards
GRADE 5 Mathematics
OPERATIONS & ALGEBRAIC THINKING
Common Core Learning
Standards
Write and interpret numerical
expressions.
Concepts
numerical
expressions
5.OA.1.
Use parentheses, brackets, or braces in
numerical expressions, and evaluate
expressions with these symbols.
Embedded Skills
Evaluate numerical expressions with parentheses,
brackets, and/or braces.
Write numerical expressions with parentheses,
brackets, and/or braces.
Vocabulary
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parentheses
brackets
braces
Symbols
numerical
expressions
evaluate
SAMPLE TASKS
I.
A. Missy evaluated the expression below. Identify her mistake.
3 x (8 + 7) = 31
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B. In the space below, evaluate Missy’s expression correctly.
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
II.
Compare the two expressions below using >, <, or =. Show all your mathematical thinking.
8 x (9 – 3)
III.
4 x [(8 - 4) + (6 – 3)]
A. Explain the steps needed to correctly solve this problem:
17 - 5 x 3
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B. Sally said the answer was 36. What did Sally do wrong? Explain.
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Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
IV.
What is the value of the expression below?
6 x 15 – 3 + 6 ÷ 2
a. 46
b. 36
c. 90
d. 87
V.
A group of 4 friends was at a restaurant. They each ordered an $8.00 meal. Then the group ordered a $6.00 appetizer to share.
Which expression represents the situation?
a. (4 x 8) + 1
b. (4 x 8) + 6
c. (4 x 6) + 8
d. (4 x 6) + 1
VI.
Which expression has a value of 3?
a. ( 1 + 1) x 2
b. 2 x (1 – 1)
c. 2 x ( 2 – 1)
d. 1 + 1 x 2
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
Common Core Learning
Standards
Write and interpret numerical
expressions.
5.OA.2.
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.
Concepts
simple
numerical
expressions
Embedded Skills
Translate verbal expressions to numerical
expressions.
Write simple numerical expressions from verbal
expressions without evaluating the expression.
Translate numerical expressions to verbal
expressions.
Vocabulary
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simple
expressions
calculations
numerical
expressions
verbal
expressions
sum
difference
product
quotient
SAMPLE TASKS
I.
A. Express the following calculation as a numerical expression: Five times the sum of seventeen and twenty-four.
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B. Evaluate the numerical expression you wrote on the line above.
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Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
II.
Without evaluating the expressions below, determine which one is greater using >, <, or =.
4 x (9 - 7)
4 x (6 – 2)
Explain your reasoning in deciding which expression is greater.
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III.
The zoo had 49 visitors on Thursday afternoon. The number of visitors on Sunday was 6 times that, plus 14. Write an
expression you could use to find the number of visitors to the zoo on Sunday.
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Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
IV. Jefferson Street Elementary School has 600 students that are divided evenly among 24 classrooms. Mr. Smith teaches in
room 13. On Friday, 4 of Mr. Smith’s students are absent. How many students are in Mr. Smith’s room 13 on Friday?
V. Which represents the problem below?
4 more than 6 times 7
a. ( 4 x 6 ) + 7
b. ( 7 x 4 ) + 6
c. ( 6 x 4 ) x 8
d. ( 7 x 6 ) + 4
VI.
Blake had $25. He spends $14 on a birthday present for his dad. Then he earns $9 raking leaves. How much money does Blake
have now?
a. $20
b. $11
c. $30
d. $34
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.
VII.
A florist had 215 flowers. He used 12 flowers to make each bouquet and had some flowers left over. Which equation shows the
result of 215 ÷ 12?
a. 215 = 17 x 12 + 11
b. 215 = 29 x 7 + 12
c. 215 = 15 x 14 + 5
d. 215 = 10 x 20 + 15
VIII.
Which numerical expression means add 3 and 2, then multiply by 4?
a. 4 x (3 – 2)
b. 4 x (3 + 2)
c. 4 + (3 x 2)
d. 4 – (3 x 2)
Copyright (c) 2011 by Erie 1 BOCES- Deep Curriculum Alignment Project for Mathematics-- Permission to use (not alter) and reproduce for educational purposes only.