Videos, examples, and solutions to help Grade 4 students learn how to use place value disks to represent two-digit by one-digit multiplication.

Common Core Standards: 4.NBT.5, 4.OA.1, 4.OA.2, 4.NBT.1

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Lessons for Grade 4

Common Core For Grade 4

Problem 1: Represent 2 × 23 with disks, writing a matching equation and recording the partial products vertically.

Problem 2: Model and solve 4 × 54.

1. Represent the following expressions with disks, regrouping as necessary, writing a matching expression, and recording the partial products vertically.

a. 3 × 24

c. 4 × 34

2. Represent the following expressions with disks, regrouping as necessary. To the right, record the partial products vertically.

b. 5 × 42

3. Cindy says she found a shortcut for doing multiplication problems. When she multiplies 3 × 24, she says, “3 × 4 is 12 ones, or 1 ten and 2 ones. Then there’s just 2 tens left in 24, so add it up and you get 3 tens and 2 ones.” Do you think Cindy’s shortcut works? Explain your thinking in words and justify your response using a model or partial products.

1. Represent the following expressions with disks, regrouping as necessary, writing a matching expression, and recording the partial products vertically.

a. 3 × 24

b. 3 × 42

2. Represent the following expressions with disks, regrouping as necessary. To the right, record the partial products vertically.

a. 4 × 27

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