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:

5th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

Report Card Measurement Topic: Demonstrates understanding of algebraic thinking, expressions, and equations.
4th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

 

 

 

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.

 

Expressions
Operation Word Phrase Algebraic Expression
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:

  1. Grouping symbols
  2. Exponents
  3. Multiplication and Division (left to right)
  4. 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.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
     
  • Determine how parenthesis and brackets affect expressions.
  • Use parenthesis and brackets to group an expression within a multi-step expression.
  • Evaluate expressions with parenthesis and brackets.

 

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.

Progression Across Grades
Grade  Grade 6

This concept is not taught prior to grade 5.
  • Write, read, and evaluate expressions in which letters stand for numbers (6.EE.2)
  • Apply properties of operations to equivalent expressions (6.EE.3)
  • Identify equivalent expressions (6.EE.4)

 

 

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