Apply Distributive Property with Factors (11, 12)

Students practice applying the distributive property with factors 11 and 12. They start with 10 + 1 and 10 + 2, then recognize other valid splits such as 8 + 3, 8 + 4, or 6 + 6. Questions ask students to choose equivalent expressions, solve story situations, and avoid the common mistake of splitting both factors at once.

The distributive property helps you split one factor into parts. For 11, start with 10 + 1. For 12, start with 10 + 2. Other splits can work too, like 6 + 6. Keep the other factor the same in each part. Example: 12 x 4 = (10 x 4) + (2 x 4) 10 x 4 = 40 2 x 4 = 8 40 + 8 = 48 So, 12 x 4 = 48.

• Number Sense and Operations
• Algebra and Equations
• Problem Solving and Logic
• Whole Numbers
• Expressions & Equations
• Properties of Operations
• Multiplication
• Equations
• Factors
• Operations
• 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
• 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.

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