Challenger · stretch problem • Order of Operations • 5th Grade • Bakery scenario

Donut Operation Order: 5th Grade Order of Operations Practice

Welcome to "Donut Operation Order", a 5th Grade Order of Operations mission at the Challenger (stretch) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Evaluate (18 + 7) × 3 bottom-up: do the high-precedence sub-expression first, then the rest." You'll reason about the numbers 18, 7, 3 across 3 guided steps.

Behind the bakery story, this lesson is really about order of operations aligned to CCSS 5.OA.A.1. Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. The key strategy this mission asks you to internalise: Answer: 75.

A general pattern to watch for in 5th Grade order of operations — illustrated with example numbers below, which may differ from this lesson's: Going strictly left to right ignoring × precedence. Multiplication and division come BEFORE addition and subtraction, regardless of position. If you get stuck on "Donut Operation Order", the adaptive Socratic hints below escalate from a gentle nudge to a worked-out strategy — the same way a one-on-one tutor would coach you through it.

Grade 5 · Orderofops

Donut Operation Order

Mission Progress

0/3

Thinking Summary · 1

Mastered

[object Object]

[Discovery] Evaluate (18 + 7) × 3 bottom-up: do the high-precedence sub-expression first, then the rest.

Active Step

[Discovery] Evaluate (18 + 7) × 3 bottom-up: do the high-precedence sub-expression first, then the rest.

Order of Operations Tree

Evaluate (18 + 7) × 3 bottom-up using PEMDAS.

Step 1First by PEMDAS

18 + 7=

Step 2Substitute the inner result

?×3=

FAQ

Common Questions

Everything you need to know about the Socratic experience.

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01 How do I solve the first step of "Donut Operation Order"?

Evaluate (18 + 7) × 3 bottom-up: do the high-precedence sub-expression first, then the rest. Hint: PEMDAS: Parens > Mult/Div > Add/Sub. Fill the inner result first.

02 What does the final step of "Donut Operation Order" check?

Which acronym names the precedence rules? If you get stuck, the adaptive hint is: PEMDAS.

03 Why is this mission classified as challenger?

Challenger missions push beyond CCSS expectations with edge cases that surface deeper misconceptions. Within 5th Grade Order of Operations, expect numbers in the corresponding range.

04 What's a common mistake in 5th Grade Order of Operations that this mission targets?

Doing addition before subtraction or multiplication before division when both are present. A and S are equal — left to right. M and D are equal — left to right. Don't prefer one over the other.

05 What should I learn after Donut Operation Order?

Expressions (Grade 6 algebraic expressions use the same precedence with variables.). Open /grade-5/expressions to start that topic's missions.

06 Is Inquiry AI Common Core aligned?

Yes. Every mission, handbook page, and topic hub is mapped to a specific CCSS code (visible in the page header). The curriculum follows the CCSS coherence map: Grade 1 number sense → Grade 3 multiplicative thinking → Grade 6 ratio reasoning, with each grade building strictly on the prior year's foundations.

07 What does it mean for a math platform to be "Socratic"?

Socratic teaching answers a question with a better question. Instead of "the answer is 12", the system asks "if you had 3 groups of 4, how could you skip-count?" The goal is to externalize the learner's reasoning so they hear themselves think. Every Inquiry AI hint follows this pattern: nudge → reframe → analogy → only then a worked example, in that order.