Reasoning About Multiplication & Division
Common Core State Standards
Math 
Math 
3 
Grade 3 
OA 
Operations & Algebraic Thinking 
B 
Understand properties of multiplication and the relationship between multiplication and division 
5 
Apply properties of operations as strategies to multiply and divide. (Students need not use formal terms for these properties.) Examples: If 6 × 4 = 24 is known, then 4 × 6 = 24 is also known. (Commutative property of multiplication.) 3 × 5 × 2 can be found by 3 × 5 = 15, then 15 × 2 = 30, or by 5 × 2 = 10, then 3 × 10 = 30. (Associative property of multiplication.) Knowing that 8 × 5 = 40 and 8 × 2 = 16, one can find 8 × 7 as 8 × (5 + 2) = (8 × 5) + (8 × 2) = 40 + 16 = 56. (Distributive property.) 
Download Common Core State Standards (PDF 1.2 MB) 

Lesson Idea  Common CorePreparation for Fraction MultiplicationGrades 35 / Math / ScaffoldingMath.5.NF.B.4 / Math.5.NF.B.6
 178
 13

Lesson Idea (Common Core)Chessboard Algebra and Function MachinesGrades 35 / Math / FunctionsMath.4.OA.A.2 / Math.4.OA.C.5
 8
 5

Lesson Idea (Common Core)Multiplying Whole Numbers & FractionsGrades 35 / Math / ReasoningMath.4.NF.B.4b / Math.Practice.MP2 / Math.Practice.MP3
 225
 35

Lesson Idea (Common Core)Reasoning About DivisionGrades 35 / Math / StrategiesMath.4.NBT.B.6
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Planning/CollaborationReflecting on Teaching & Learning About FractionsGrades 35 / Math / Teacher CollaborationMath.5.NF.B.4 / Math.5.NF.B.6
 111
 2

Lesson IdeaSensemaking and MultiplicationGrades 35 / Math / Multiplication
 26
 4

Lesson Idea (Common Core)A Passion for FractionsGrades 35 / Math / ReasoningMath.5.NF.B.4b / Math.Practice.MP2 / Math.Practice.MP3
 517
 59

Teaching PracticeFormative Assessment: Understanding FractionsGrades 34 / Math / FractionsMath.3.NF.A.1 / Math.Practice.MP1 / Math.Practice.MP2
 45
 23
Objective
Build understanding of multiplication and division
Length
7 min
Questions to Consider
 How do Mr. Crandall's students learn from each other?
 Mr. Crandall says it's important to give students time to make sense of their ideas. How does he do that?
 How does Mr. Crandall give students opportunities to revise their thinking?
Watch an interactive segment from this video at Tch Video Lounge.
Teacher & School Info

Drew Crandall
 School Details
 Lakeridge Elementary School Seattle, WA
 Population
 420 students
 District Spending
 $8,208
Supporting Materials

Reasoning About Multiplication & Division Transcript