Apply Distributive Property with Factors (3, 4)

Students practice applying the distributive property with factors 3 and 4. They read arrays and equations, split one factor into known parts such as 2 + 1, 2 + 2, or 3 + 1, and add partial products to find the total. Later questions ask students to choose valid expressions and spot splits that do not keep the same other factor.

The distributive property lets you split one factor into parts. For 3s facts, try 2 + 1. For 4s facts, try 2 + 2 or 3 + 1. Keep the other factor the same in each part. Example: 4 x 6 = (2 x 6) + (2 x 6) 2 x 6 = 12 2 x 6 = 12 12 + 12 = 24 So, 4 x 6 = 24.

• Algebra and Equations
• Problem Solving and Logic
• Number Sense and Operations
• Whole Numbers
• Expressions & Equations
• Properties of Operations
• Multiplication
• Equations
• Operations
• Array
• Associative Property
• Distributive Property
• Factors
• Multiply
• 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
• 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
• ENG-MATH-Y3-MD.1 — Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.

• Multiply (by 3 and 4)

• Apply Distributive Property with Factor 8
• Apply Distributive Property with Factors (6, 7)