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Features

  • Count equal groups of base-ten blocks as tens and ones
  • Split area models into tens and ones
  • Write partial products in a column
  • Solve twelve problems any way you like
  • Six word problems
  • Products up to 1,000
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Multiply a 2-digit number by a 1-digit number
  • Count equal groups of tens and ones
  • Trade 10 ones for 1 ten
  • Split a factor into tens and ones in an area model
  • Add partial products to find the product
  • Solve multiplication word problems

How to Use This Pack

Five pages that build up to multiplying a 2-digit number by a 1-digit number. Page 1 shows equal groups of base-ten blocks, such as 3 groups of 24: students count the tens and the ones, then put them together, trading 10 ones for a ten when there are 10 or more. Page 2 has six area models: the 2-digit number is split into tens and ones across the top, students write the two partial products inside and add them. Page 3 writes the same partial products in a column, with a reminder beside each row, such as 40 × 3. Page 4 has twelve problems with numbers up to 99 and room to work, solved with blocks, an area model or partial products. Page 5 has six word problems, like 4 buses with 38 children each.

In the Classroom

Start page 1 with real base-ten blocks: build 3 groups of 24, push the tens together and the ones together, and trade 10 ones for a ten. On page 2, connect the two parts of the rectangle to the two lines on page 3: the big part is the tens times the number, the small part is the ones. Let students compare strategies on page 4 with a partner.

At Home

Ask your child to break the big number into tens and ones out loud: 6 × 37 is 6 × 30 and 6 × 7, so 180 and 42, which make 222. Use dimes and pennies to act out a problem from page 1.

Tips for Success

  • Split the 2-digit number into tens and ones first: 47 is 40 and 7
  • Multiply the tens by thinking of a fact: 4 × 3 = 12, so 40 × 3 = 120
  • Ten ones make a ten: 6 tens and 12 ones is 7 tens and 2 ones, or 72
  • Add the two partial products to get the product
  • Check that the answer is close to an estimate: 47 × 3 is about 50 × 3, or 150

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 4.NBT.B.5 Multiply numbers up to 9,999 by one-digit numbers, and two-digit by two-digit numbers, with place-value strategies shown in equations, arrays or area models.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Multiply 2-Digit by 1-Digit

3rd – 4th Grade

Multiplying a 2-digit number by a 1-digit number with place value strategies, for products up to 1,000. Students count base-ten blocks in equal groups, use area models and partial products, and solve word problems.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Equal groups of base-ten blocks to count as tens and ones
  • Six area models and nine partial products problems in a column
  • Twelve practice problems with room to work and six word problems
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