Distributive Property for Grade 3
Authored by Jill Duquette
Mathematics
3rd Grade
CCSS covered
Used 94+ times
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About
This quiz focuses on the distributive property of multiplication, a fundamental algebraic concept introduced at the third-grade level. The questions assess students' understanding of how multiplication can be broken down into the sum of two or more simpler multiplication problems, expressed as a(b + c) = ab + ac. Students need to recognize that when finding areas of composite rectangles, they can multiply the common dimension by each separate dimension and add the products together. The problems require students to identify missing factors in distributive property equations, represent real-world situations using the distributive property, decompose single multiplication facts into equivalent expressions, and apply the property to area calculations. Students must demonstrate flexibility with numbers and understand that multiplication can be distributed over addition, which builds the foundation for more complex algebraic thinking in later grades. Created by Jill Duquette, a Mathematics teacher in the US who teaches grade 3. This quiz serves as an excellent tool for introducing and reinforcing the distributive property through multiple contexts and representations. Teachers can use this assessment for formative evaluation to gauge student understanding before moving to more complex multiplication strategies, or as guided practice during whole-group instruction when modeling how to break apart challenging multiplication facts. The varied question formats make it suitable for homework assignments that allow students to practice applying the distributive property independently, while the visual area models support students who benefit from concrete representations. This assessment aligns with Common Core standard 3.OA.5, which requires students to apply properties of operations as strategies to multiply, and supports the development of mathematical reasoning skills essential for success with multi-digit multiplication and introductory algebra concepts.
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6 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which expression is used to find the total area of the figure shown?
(9 x 10) + (9 x 7)
9 x 10 + 7
9 x 10 x 7
Tags
CCSS.4.NBT.B.5
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The equation is shown. What FACTOR is missing from the equation?
8 x 7 = ____ x (5 + 2)
6
8
2
Tags
CCSS.3.OA.B.5
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
There are 8 rows of flowers in the garden. Each row has 3 roses and 5 tulips. Which expression represents this situation?
(8 + 3) x (8 + 5)
8 x (3 + 5)
8 + 3 + 5
Tags
CCSS.6.NS.B.4
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which answer choice represents the multiplication fact 9 x 6 using the distributive property?
(4x6) + (5x6)
(2x6) + (4x6)
(1x6) + (3x6)
Tags
CCSS.3.OA.B.5
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which answer choice represents 9 x 9 using the distributive property?
(7 x 9) + (1 x 9)
(5 x 9) + (4 x 9)
(5 x 9) + (3 x 9)
Tags
CCSS.3.OA.B.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which expression is used to find the total area of the figure shown?
(4 + 3) + (4 + 4)
(4 x 3) x (4 x4)
(4 x 3) + (4 x 4)
Tags
CCSS.3.MD.C.7D
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