5.OA.1 - About the Math, Learning Targets, and Rigor
Grade 5 Numerical Expressions and Patterns
5.OA.1
Full Standard
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Measurement Topic
This standard is reported on the report card in these quarters as follows:
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of algebraic thinking, expressions, and equations. |
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Report Card Measurement Topic: Demonstrates understanding of patterns, expressions, equations, and algebraic thinking. |
Learning Targets (I can)
- Determine how parentheses and brackets affect expressions.
- Use parentheses and brackets to group an expression within a multi-step expression.
- Evaluate expressions with parentheses and brackets.
About the Math
An expression names a number. An equation describes a relationship between two expressions. A variable is a quantity that can change or vary. Variables are often represented with a letter such as x or n. Any variable can represent any value. When you evaluate an expression, you substitute a number for every variable in the expression. Students need to write expressions that describe word problems. Use numbers when you know what they are and use variables when you don't know the numbers. Essential vocabulary for this standard includes: parenthesis, expression, evaluate, bracket, and variable. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. vocabulary support.
Operation | Word Phrase | Algebraic Expression |
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Addition | A number plus 8 Sum of a number and 8 8 more than a number A number increased by 8 |
X + 8 |
Subtraction | A number minus 5 The difference between a number and 5 5 less than a number A number decreased by 5 |
X - 5 |
Multiplication | 7 times a number A number multiplied by 7 The product of 7 and a number |
7 x n 7 , n 7n |
Division | A number divided by 9 The quotient of a number and 9 |
X 9 x ÷ 9 |
Order of Operations When evaluating expressions, it is necessary to use the order of operations.
The order of operations is a convention that standardizes how we evaluate expressions. Students need to discover that the following is the order:
- Grouping symbols
- Exponents
- Multiplication and Division (left to right)
- Addition and subtraction (left to right)
Progression of Standard within Grade 5
This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.
Quarter 1 | Quarter 2 | Quarter 3 | Quarter 4 |
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Progression of this Standard Across Grades
This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.
Grade | Grade 6 |
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This concept is not taught prior to grade 5. |
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TASKS
These tasks can be used with small group or whole group instruction.
- To launch the idea of parentheses and brackets display 4 + 6 x 5 = 50 AND 4 + 6 x 5 = 34 for students to evaluate. Explain how each to find both of these answers. Ask students "Is it okay to have two different answers to the same equation? What could be done to avoid confusion and make sure everyone solves the problem in the same way?"
- Ty says that 16 - (4 + 4) = 8. Jade says it equals 12. Who do you agree with?
- Do these two equations have the same solution? Why or why not? (18 + 5) x 2 AND 18 + (5 x 2)
- Given 12 ÷ 4 + 2, where should the parentheses be in this equation to make it equal 2?
- Write a numerical expression with at least two operations so that when evaluated it equals 18.
- Why do we need order of operations? What might happen if we didn't have order of operations?
SLIDE-BASED TASKS
These links are HCPSS created instructional tasks. These tasks are provided in Google slides. These tasks should be used for inspiration and resources, but instruction should start with students having the opportunity to engage with the math first (often involving physical and/or visual models) followed by discussion and explicit instruction to ensure student understanding.
Module 12 • Expressions, Coordinate Grids, and Geometric figures
Evaluate Expressions by Applying Order of Operations:
Additional Tasks
These links provide instructional ideas connected to this standard.
- Watch Out for Parentheses 1 Links to an external site. (Illustrative Mathematics)
- Bowling for Numbers Links to an external site.(Illustrative Mathematics)
- Using Operations and Parentheses Links to an external site.(Illustrative Mathematics)
- Order of Operations Links to an external site. (Georgia Department of Education, pgs. 16-18)
- Trick Answers Links to an external site.(Georgia Department of Education, pgs. 19-22)
- Money For Chores Links to an external site. (Georgia Department of Education, pgs 23-26)
- Digging Dinosaurs Links to an external site. (Inside Mathematics Lesson)
- State Fair Download State Fair (Utah Core Academy Lesson)
- State Fair Student Resource Download State Fair Student Resource (Utah Core Academy Lesson)
- Movie Download Movie (Utah Core Academy Lesson)
Tasks From Print Resources
These publications have been provided for each school. They are typically stored in team closets or the media center. Check with your team leader if you cannot find them.
Book Thumbnail | Book Title | Grade | Pages |
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Teaching Student-Centered Mathematics | 6-8 |
Stacks of Coins, Activity 10.1, Page 172 |
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Hands-On Standards | 5-6 | 104-105 "Distributive Property" 106-110 "Order of Operations" |
Brain-Compatible Activities for Mathematics | 4-5 | 36-40 "Show the Order" 118-120 "Simply, Simplify" 124-126 "What's the Score" |
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Number SENSE | 4-6 | 102-106 "Sorting Decimals" 107-110 "Which Is Bigger?" 184-187 "Name a Decimal" |
Math In Practice Teaching Fifth-Grade Math |
5 | Module 2 |
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Centers
These print resources can be used during independent or center time. These resources could also be used as lesson seeds.
- Race to the Target Number Download Race to the Target Number (HCPSS-adapted print resource)
- Expressions Clock Download Expressions Clock (HCPSS-adapted print resource)
- Expresso Links to an external site. (Greg Tang print resource, pictured)
- Expresso Moderate Links to an external site. (Greg Tang print resource)
- Expresso Advanced Links to an external site.(Greg Tang print resource)
INDEPENDENT PRACTICE/HOMEWORK/ASSESSMENT
These resource sheets can be used for independent practice, homework, or assessment. They are intended to reinforce procedures and concepts. They should not be used as a source of direct instruction or whole-group practice.
- Order of Operations a Links to an external site.
- Order of Operations b Links to an external site.
- Order of Operations c Links to an external site.
- Evaluate and Explain Expression Using Parentheses Links to an external site.
- Explain Meaning of Parentheses in an Expression Links to an external site.
- Create and Explain an Expression Using Parentheses Links to an external site.
- Use Parentheses to Group Expressions in a Multi-Step Expression Links to an external site.
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Learning Targets
- Determine how parentheses and brackets affect expressions.
- Use parentheses and brackets to group an expression within a multi-step expression.
- Evaluate expressions with parentheses and brackets.
Learning targets identify what students should be able to do. This rubric can be applied to tasks and observations for assessment and/or grading.
Rubric for Tasks Links to an external site.
Visit the SBIR (Standards Based Instruction and Reporting) tab in Course Essentials for more information and clarification. There you will find the measurement topic crosswalk, report card comments, links to professional learning/resources and guidance.
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This course content is offered under a CC Attribution Non-Commercial Share Alike
Links to an external site. license. Content in this course can be considered under this license unless otherwise noted.