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MCAS: Mathematics (Grades 3–8 and Grade 10)

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Mathematics (Grades 3–8 and Grade 10)

MCAS Mathematics (grades 3–8 and 10) tests procedural skill, conceptual understanding, and modeling with real contexts. Grade 10 includes algebra, functions, geometry, and statistics.

Core rules

  • In open-response items, show enough work to make reasoning visible; a correct answer with no support can earn partial credit.
  • Keep exact values until the final step, then round as requested. Label units in context problems.
  • For multi-step problems, identify the unknown, write an equation or proportion, solve, and check the result against the context.
  • For data displays, describe center, spread, and shape, and distinguish association from causation.

Worked example

A recipe uses 3 cups of flour for 12 muffins. How many cups for 30 muffins? Set up 3/12 = x/30. Cross-multiply: 90 = 12x, so x = 7.5 cups. Check: 30 muffins is 2.5 times 12, and 2.5 × 3 = 7.5. The equation and the scaling check agree.

Traps

  • Applying a percent increase and a percent decrease sequentially as if they cancel.
  • Mixing radius and diameter, or area and circumference.
  • Treating a negative exponent as a negative result.
  • Reading a graph's axis scale incorrectly.
  • Giving an answer that is mathematically possible but unreasonable in context.

Open-response rubrics reward correct method, accurate computation, and clear explanation.