Georgia 3.PAR.3.3
The Standard
Apply properties of operations (i.e., commutative property, associative property, distributive property) to multiply and divide within 100.
Georgia's K-12 Mathematics Standards · Use part-whole strategies to solve real-life, mathematical problems involving multiplication and division with whole numbers within 100.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students use operation properties to make multiplication facts within 100 easier to solve. They connect those multiplication equations to related division facts and explain their strategy.
What Mastery Looks Like
- Students solve facts within 100 by switching factor order, regrouping factors, or breaking apart a factor. They write matching equations and use multiplication reasoning to solve related division problems.
Common Misconceptions
- Students may think changing factor order changes the product, or that grouping changes the answer. They may incorrectly treat division as commutative or split a factor without multiplying both parts.
How to Assess It
- Give: “Solve 7 × 8 by breaking apart 8, then use your equation to solve 56 ÷ 7.” Ask students to label the property used.
Lesson moves
Ways to Teach It
Build a 7 by 8 array with tiles, split it into two smaller arrays, and write the matching distributive equation.
Ask students to explain in writing why 6 × 9 and 9 × 6 have the same product.
Play Property Match with cards showing facts, rearranged facts, broken-apart facts, and property names.
Plan equal snack bags for 24 items, then compare 3 groups of 8 with 8 groups of 3.
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Printable 3.PAR.3.3 Worksheet
A ready-to-print activity worksheet aligned to 3.PAR.3.3, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 1.NR.5
Use concrete models, the base ten structure, and properties of operations to add and subtract within 100.
- 3.PAR.3.5
Use place value reasoning and properties of operations to multiply one-digit whole numbers by multiples of 10, in the range 10-90.
- 7.NR.1.9
Apply properties of operations as strategies to solve multiplication and division problems involving rational numbers represented in an applicable scenario.
- 2.NR.2
Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and su...
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