CCSS.Math.Practice.MP2

MathGrades K–12Standards for Mathematical Practice

The Standard

Reason abstractly and quantitatively.

Common Core State Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students move between a situation and a mathematical representation using numbers, symbols, equations, tables, or diagrams. They explain what quantities mean, track units, and check whether results fit the situation.
What Mastery Looks Like: Students can turn a situation into an equation or diagram, solve it, and connect the result back to the situation. They name units, explain variables and terms, and reject answers that do not make sense.
Common Misconceptions: Students may calculate correctly but cannot say what the numbers or symbols represent. They may ignore units or use keywords to choose operations. They may report a remainder, fraction, or negative value that makes no sense in the situation.
How to Assess It: Exit ticket: Three boxes hold eight pencils each. Ask students to draw a model, write an equation, solve, and label what each number means.

Lesson moves

Give pairs cups and 24 counters; have them model 24 ÷ 6, write an equation, and explain what each number represents.
Have students write a situation for 0.5x + 12, define x, name the units, and explain each term.
Match story cards, diagram cards, and equation cards, then earn a point by explaining how every quantity connects.
Use a grocery receipt to calculate unit prices, label dollars per item, and decide which comparison answers the shopping question.

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