3rd Grade Properties of Multiplication Quizzes

Third grade is a critical year for this topic. Students move from simply recognizing the properties to actively using them as calculation strategies. The main focus is applying the commutative, associative, and especially the distributive property to break down and solve multiplication problems within 100.

This directly aligns with Common Core standards (3.OA.B.5), which require students to apply properties of operations as strategies to multiply. Mastering the distributive property in 3rd grade is a key step that prepares students for understanding area models and multi-digit multiplication algorithms in 4th grade.

Use area models. Draw a rectangle for a problem like 6 × 7. Then, split the rectangle into two smaller ones, such as a 6 × 5 rectangle and a 6 × 2 rectangle. This visually demonstrates that 6 × 7 is the same as (6 × 5) + (6 × 2), making the abstract property concrete.

A common error is confusing the two. Students may also misapply the distributive property by forgetting to multiply by all terms inside the parentheses. For example, when solving 3 × (4 + 5), they might incorrectly calculate (3 × 4) + 5.

For students needing support, use Wayground's settings to create a version with larger fonts or wider spacing. For advanced learners, challenge them to solve a problem like 18 × 6 in two different ways using the distributive property, such as (10 + 8) × 6 and (20 − 2) × 6, and to compare the methods.

You can host the quiz as a digital activity on Wayground or print the PDF for students to complete on paper. An answer key is included with every quiz for quick grading. If you use the printable version, the Wayground for Teachers app lets you scan and grade student work efficiently.