Apply the Distributive Property

On Iqleel, Grade 3 students will learn how to apply the Distributive Property of multiplication. They will practice breaking down a tough multiplication problem into two simpler ones, then adding the products together, such as solving 6 × 7 by thinking (6 × 5) + (6 × 2). This powerful strategy, often visualized with an array, is a key part of algebraic thinking and helps students solve any multiplication fact.

• Algebra and Equations
• Problem Solving and Logic
• Number Sense and Operations
• Whole Numbers
• Expressions & Equations
• Properties of Operations
• Multiplication
• Equations
• Factors
• Operations
• Multiply
• Array
• Distributive Property
• Product

• AC9M3N04 — multiply and divide one- and two-digit numbers, representing problems using number sentences, diagrams and arrays, and using a variety of calculation strategies
• ENG-MATH-Y3-MD.2 — Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.
• NY-3.OA.5
• 3.OA.B.5 — Apply properties of operations as strategies to multiply and divide. 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.)
• 3.OA.B.5
• MA.3.AR.1.1
• MATH.3.4.G
• G3.B2.1
• BC.MATH.G3.CONTENT.05
• SG.MATH.P3.NA.WN.3.5
• AB.MATH.G3.MAT3-OI1-GQ3-LO1
• ZA.CAPS.MATH.G3.NOR.1.12