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Grade 3 + , − , one set of parentheses · 3 numbers · 1–2 digit Grade 4 Full PEMDAS, one set of parentheses · 4 numbers · 1–2 digit Grade 5 Full PEMDAS + squares & cubes · two sets · 4 numbers Grade 6 Full PEMDAS + exponents · nested 2 levels · 5 numbers · 2–3 digit Grade 7 Full PEMDAS + exponents + integers · nested 2–3 · 5 numbers Grade 8 (pre-algebra) Full PEMDAS, integers, deep nesting · 5 numbers · 2–3 digit
Inside the parentheses A single grouped operation that must go first — e.g. (7 + 5) × 3 Two operations, no grouping Precedence with no parentheses — e.g. 2 + 6 × 4 Multiply / divide first The most common misconception, drilled directly — e.g. 20 − 12 ÷ 4 Left-to-right ties Equal-priority runs where order matters — e.g. 8 − 3 + 2 Expressions with an exponent Exactly one power to resolve before the rest — e.g. 3 + 2³ × 2 Two sets of parentheses Two independent groups — e.g. (2 + 3) × (8 − 4) Nested parentheses Inside-out grouping, symbols by layer — e.g. 2 × [3 + (4 − 1)] Full PEMDAS mixed All features combined — e.g. (4 + 12) − 6 ÷ 2 Integers (negatives) Positive and negative operands together — e.g. 3 × (−4) + 5
Step 1
Layout
How should each problem print on the page?
Evaluate Expressions with an answer blank. The standard practice sheet — students compute the final value. Show your steps Each problem is followed by blank numbered lines so students write out each successive line of the collapse — the paper version of Step-by-Step mode. Circle the first step Students circle (don't solve) the operation PEMDAS calls for first. Ideal as a quick, timed warm-up. Worked-step answer key A teacher reference showing the full step ladder for every problem, line by line — so you can see exactly where a student diverged.
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