CCSS.Math.Practice.MP1
The Standard
Make sense of problems and persevere in solving them.
Common Core State Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret an unfamiliar problem before calculating. They identify known information, the goal, and any limits, then choose a strategy, track their progress, revise, and check.
What Mastery Looks Like
- A student can represent a problem with objects, a diagram, a table, a graph, words, or equations. When a first plan stalls, the student tries another approach and explains why the final answer is reasonable.
Common Misconceptions
- Students may grab every number and calculate without deciding what the quantities mean. They may think a failed attempt means they cannot solve the problem. Some check only their arithmetic, not whether the answer fits the situation.
How to Assess It
- Put one unfamiliar, grade-level problem on an exit ticket. Ask students to solve it, show their plan, mark where they checked or changed course, and verify the answer.
Lesson moves
Ways to Teach It
Give pairs counters, tiles, or algebra tiles and a multistep puzzle, then require a model, a plan, and one recorded revision.
Post two student solutions and ask, "Where does each plan work, where does it stall, and what should happen next?"
Run a strategy-switch relay where teams solve task cards, then use a new representation or method before submitting each answer.
Have students plan a class event with a fixed budget, stated constraints, and a written check that their choices fit.
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Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
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- CCSS.Math.Content.3.OA.D
Solve problems involving the four operations, and identify and explain patterns in arithmetic.
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