Georgia 3.PAR.2.2
The Standard
Apply part-whole strategies, properties of operations and place value understanding, to solve problems involving addition and subtraction within 10,000. Represent these problems using equations with a letter standing for the unknown quantity. Justify solutions.
Georgia's K-12 Mathematics Standards · Use part-whole strategies to represent and solve real-life problems involving addition and subtraction with whole numbers up to 10,000.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students break numbers into parts or use place value and operation properties to add and subtract. They represent an unknown amount with a letter, solve for it, and explain why their answer makes sense.
What Mastery Looks Like
- Students choose an efficient strategy, such as decomposing, compensation, or regrouping, and calculate accurately. They write an equation with a letter for the missing amount and justify the solution using place value, a model, or inverse operations.
Common Misconceptions
- Students may line up digits incorrectly or regroup without tracking place value. They may treat the letter as a label, choose the wrong operation, or give an answer without showing why it works.
How to Assess It
- Exit ticket: “A library had 6,240 books. After some were checked out, 4,785 remained. Write an equation using a letter, solve, and justify your answer.”
Lesson moves
Ways to Teach It
Build 3,468 and 2,157 with place-value disks, combine them, record an equation with a letter, and explain each regrouping.
Discuss: Which is easier for 6,002 minus 1,998, compensation or regrouping, and why?
Play Unknown Number Match by pairing word-problem cards with equation cards and solving each match on a place-value mat.
Use a school supply order and budget to find missing costs, totals, or amounts left under 10,000.
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Printable 3.PAR.2.2 Worksheet
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