Math Games

Grade 5 - Number

Standard 5.N.5 - Solve multiplication equations with numbers up to 100.

Included Skills:

Demonstrate an understanding of multiplication (1- and 2-digit multipliers and up to 4-digit multiplicands), concretely, pictorially, and symbolically, by
• using personal strategies
• using the standard algorithm
• estimating products
to solve problems.

• Illustrate partial products in expanded notation for both factors [e.g., for 36 × 42, determine the partial products for (30 + 6) × (40 + 2)].
• Represent both 2-digit factors in expanded notation to illustrate the distributive property [e.g., to determine the partial products of 36 × 42, (30 + 6) × (40 + 2) = 30 × 40 + 30 × 2 + 6 × 40 + 6 × 2 = 1200 + 60 + 240 + 12 = 1512].
• Model the steps for multiplying 2-digit factors using an array and base-10 blocks, and record the process symbolically.
• Describe a solution procedure for determining the product of two 2-digit factors using a pictorial representation, such as an area model.
• Model and explain the relationship that exists between an algorithm, place value, and number properties.
• Determine products using the standard algorithm of vertical multiplication. (Numbers arranged vertically and multiplied using single digits which are added to form a final product.)
• Solve a multiplication problem in context using personal strategies, and record the process.
• Refine personal strategies such as mental math strategies to increase efficiency when appropriate [e.g., 16 x 25 think 4 x (4 x 25) = 400].