CCSS.Math.Content.5.OA.A.1
The Standard
Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.
Common Core State Standards for Mathematics · Operations and Algebraic Thinking
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use parentheses, brackets, and braces to show which calculations happen first. They evaluate grouped expressions by working from the innermost group outward.
What Mastery Looks Like
- Students correctly evaluate expressions with nested grouping symbols. They can write a grouped expression from words and explain which operation must be completed first.
Common Misconceptions
- Students may ignore grouping symbols and work strictly from left to right. They may treat brackets and braces as separate operations or assume parentheses always mean multiplication.
How to Assess It
- Exit ticket: Write and evaluate an expression for multiplying the sum of 6 and 4 by 3, then subtracting 5. Use two types of grouping symbols.
Lesson moves
Ways to Teach It
Give pairs number, operation, and grouping-symbol cards; they build a nested expression, trade with another pair, and evaluate.
Compare 24 ÷ (6 - 2) with (24 ÷ 6) - 2, then write why the answers differ.
Play Expression Match: students pair expression cards with value cards, then justify one match by naming the first operation.
Using a grocery flyer, write and evaluate a grouped expression for three identical snack bags containing two fruits and one drink.
Free download
Printable 5.OA.A.1 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.OA.A.1, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Operations & Algebraic Thinking progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.4.OA.A.3
Multistep four-operation work supports seeing and computing grouped steps, but evaluating written grouping symbols is a distinct new notation skill.
- CCSS.Math.Content.3.OA.D.8
Two-step equations give practice combining operations in a planned order, which supports later evaluating grouped numerical expressions.
- CCSS.Math.Content.3.OA.C.7
Multiplication and division fluency reduces calculation load when evaluating grouped expressions that include those operations.
What This Unlocks
Mastery here sets students up for these next.
- CCSS.Math.Content.5.OA.A.2
Understanding grouping symbols helps students write and describe which calculations happen together in numerical expressions.
- CCSS.Math.Content.6.EE.A.2
Evaluating grouped numerical expressions supports reading and evaluating variable expressions with the same operation and grouping rules.
- CCSS.Math.Content.6.EE.A.1
Understanding grouping symbols supports evaluating exponent expressions within larger numerical expressions and following the intended order of operations.
- CCSS.Math.Content.6.EE.A.2c
Evaluating grouped numerical expressions prepares students to substitute values and follow operation order in algebraic and formula expressions.
- CCSS.Math.Content.6.NS.B.4
Understanding parentheses helps students read and evaluate factored sums like 4(9+2), though factors and multiples are the main new work.
- CCSS.Math.Content.6.EE.A.2b
Grouping symbols in numerical expressions prepare students to see parts of algebraic expressions as single units.
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