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Skills Covered

  • Add two two-digit numbers within 100
  • Add the tens and the ones, then put them together
  • Trade 10 ones for a new ten with base-ten blocks
  • Jump by tens and ones on an open number line
  • Make a ten first to add
  • Explain how you added and find a mistake

How to Use This Pack

Five pages of strategies for adding two two-digit numbers, the heart of 2nd grade addition. Page 1 adds by place value with no new ten: the tens together, the ones together, then the two parts (43 + 25 is 60 + 8, 68). Page 2 shows both numbers in base-ten blocks; students count all the tens and ones (5 tens 13 ones), trade 10 ones for a ten (6 tens 3 ones) and write the sum. Page 3 uses an open number line: start at the first number, jump by tens, then jump the ones in one jump (46 + 27: 56, 66, 73). Page 4 makes a ten first by moving a few from the second number to the first (38 + 25: 38 + 2 = 40, so 40 + 23 = 63). Page 5 asks for any strategy with the work shown, then shows two animals with different answers, one with a common mistake (forgetting the new ten, writing 7 tens 14 ones as 714, or adding the tens as ones); students circle who is right and show how they know. Each page starts with a worked example.

In the Classroom

Before page 2, build 38 and 25 with base-ten blocks and push the ones together. Ask what to do with 13 ones before anyone writes, then trade 10 of them for a rod. For page 3, draw one open number line on the board and let students tell you where to jump: there is no single right picture, only jumps that add up. Page 5 makes a good talk: read the animals' answers aloud and let partners argue which one is right before they write.

At Home

Ask questions like "You have 38 stickers and get 25 more. How many now?" and ask how your child got the answer. Dimes and pennies work well: 3 dimes 8 pennies and 2 dimes 5 pennies, then trade 10 pennies for a dime.

Tips for Success

  • Add the ones first. If they make 10 or more, there is a new ten
  • Tens plus tens, ones plus ones, then put them together
  • On a number line, jump by tens first, then the ones
  • Make a ten: how many more does the first number need to reach the next ten?
  • Check: the sum is bigger than both numbers

Common Core Standards Alignment

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

  • 1.OA.C.5 Connect counting with adding and subtracting, such as adding 4 by counting on four more.
  • 1.OA.C.6 Add and subtract to 20, working fluently within 10, with strategies like counting on, making ten, fact families and doubles plus one.
  • 1.NBT.B.2a See a group of ten ones as one unit called a ten.
  • 1.NBT.B.2c Know that 10, 20, 30 and so on up to 90 mean 1 to 9 tens with no ones.
  • 2.NBT.B.5 Add and subtract to 100 fluently with place-value strategies, properties of addition, or the link between adding and subtracting.
  • 2.NBT.B.6 Find the sum of two, three or four two-digit numbers using place value and properties of addition.
  • 2.NBT.B.7 Add and subtract to 1,000 with models and place-value strategies, working hundreds, tens and ones separately and regrouping tens or hundreds as needed.
  • 2.NBT.B.9 Tell why an adding or subtracting method gives the right answer, reasoning from place value and number properties.
  • 2.MD.B.6 Show whole numbers as distances from 0 on an evenly marked number line, and show sums and differences up to 100 as jumps on it.

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

2-Digit Addition Strategies

2nd Grade

A 5-page 2nd grade pack for adding two two-digit numbers with place value strategies. Add the tens, add the ones and put them together (43 + 25 = 60 + 8), then count two numbers in base-ten blocks and trade 10 ones for a new ten. Jump by tens and then the ones on an open number line (46 + 27: 56, 66, 73), and make a ten first by moving some from the second number (38 + 25 = 40 + 23). Last, add any way you like and show your work, then decide which animal is right and show how you know. Every page comes in color and in black and white. Answer keys included.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Add by place value, and trade 10 ones for a ten with base-ten blocks
  • Jump on an open number line, and make a ten first
  • Show your work, and "Who is right?" problems to explain your thinking
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