Welcome to "Recipe Order Lab", a 5th Grade Orderofops mission at the Explorer (core) level, staged in our bakery scenario. The mission opens with a hands-on prompt: "Evaluate 6 + 2 × 3 bottom-up: do the high-precedence sub-expression first, then the rest." You'll reason about the numbers 6, 2, 3 across 3 guided steps.
Behind the bakery story, this lesson is really about orderofops 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: 12.
A general pattern to watch for in 5th Grade orderofops — illustrated with example numbers below, which may differ from this lesson's: 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. If you get stuck on "Recipe Order Lab", 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
Mission Progress
0/3
Thinking Summary · 1
Mastered[object Object]
[Discovery] Evaluate 6 + 2 × 3 bottom-up: do the high-precedence sub-expression first, then the rest.
1
Active StepEvaluate 6 + 2 × 3 bottom-up using PEMDAS.
5th Grade Orderofops explorer-1 representative practice page for students who need a crawlable, worked entry point into the topic without exposing every near-duplicate long-tail mission.
This explorer · core practice mission uses a order-of-operations tree to move from the story to a precise orderofops idea. Work through the prompts in order: notice the structure first, name the quantities, then check whether the final answer fits the original situation.
In 5th Grade Orderofops, students need to connect the story, the model, and the symbolic answer. The core move here is: Answer: 12. A useful check is to ask whether the answer avoids this pitfall: Ignoring nested brackets. Always work the INNERMOST grouping first, then work outward layer by layer.
Everything you need to know about the Socratic experience.
Evaluate 6 + 2 × 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.
Which acronym names the precedence rules? If you get stuck, the adaptive hint is: PEMDAS.
Explorer missions hit the core abstraction at typical numeric ranges — this is where conceptual mastery is built. Within 5th Grade Orderofops, expect numbers in the corresponding range.
Ignoring nested brackets. Always work the INNERMOST grouping first, then work outward layer by layer.
Expressions (Grade 6 algebraic expressions use the same precedence with variables.). Open /grade-5/expressions to start that topic's missions.
Pure discovery is inefficient — kids hit a wall and quit. Guided Discovery scaffolds the path: a careful sequence of questions, models, and adaptive hints leads the learner toward the insight without revealing it. Inquiry AI's hint system fires automatically after ~15s of hesitation or on the first mistake, escalating from a Socratic nudge to a worked example only when needed. Mistakes are diagnosed via "misconception keys" so the hint matches the actual wrong-thinking pattern.
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.
