Number Forms Place Value Match-up - Math Coach's Corner

Number Forms Place Value Match-up

Written by Donna Boucher

Donna has been a teacher, math instructional coach, interventionist, and curriculum coordinator. A frequent speaker at state and national conferences, she shares her love for math with a worldwide audience through her website, Math Coach’s Corner. Donna is also the co-author of Guided Math Workshop.

It’s back to school, which means back to place value! In our district scope and sequence, grades 2 through 5 all start the year with place value. What’s changing about place value under Common Core and the new TEKS (Texas standards) is the emphasis on understanding the relationships between the digits in a number.

“Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷  70 = 10 by applying concepts of place value and division.” CCSSM 4.NBT.1

Notice that Common Core doesn’t really specify the magnitude of number a student must be able to work with, while in Texas it’s 6-digit for 3rd, 9-digit for 4th, and 12-digit for 5th. You may wonder why common core doesn’t specify. Here’s my thinking. If you truly understand the patterns in the place value system, reading numbers to the trillions is the same as reading numbers to the hundred thousands, right? You might want to take a minute and check out this post on reading larger numbers. You can also grab a free place value chart while you’re there.

I made a little match-up activity that reinforces the concept of reading 3-digit numbers and knowing period (groups of 3 digits in a number) names. Notice in the word form card, the 3-digit numbers are underlined and the period names (thousand, million, billion) are bold. This is also a strategy for helping kids learn to attend to precision in matching up the different forms of numbers. They need to be taught to chunk the numbers into periods and compare each period when trying to, for example, match number form to word form.

Here’s how I would use this activity in the classroom. Prior to this activity, I would have had the lesson on reading large numbers (maybe the previous day), but I would not have had a lesson on forms of numbers (standard, word, expanded). That kind of throws it into a little bit of problem solving. There are 10 groups of 3 cards in the set, for a total of 30 cards. If your class is smaller than 30, take some cards out, but make sure you keep sets of 3. Hand out one card to each student. Since it’s the beginning of the year, and you’re working on establishing routines, this would be a good time to have a mini-lesson about your expectations for how students should move around the room and how you will get their attention. I would also give them a list of talking points to discuss once they find the students with matching cards, because I want that time to be productive and I want to start right away letting them know that we are expected to talk about math. Here are some sample talking points:

  • What process did you use to find matching cards?
  • How did you check to make sure your cards matched once you grouped up?
  • Why are some words bold?
  • Why are some words underlined?
  • If you have a zero in your number, what does the zero mean?
  • If you have the same digit more than once in your number (for example two 3s), do the digits mean the same thing?
  • What patterns do you notice?
  • Is there anything interesting about your number you’d like to share?

At your signal, the students will move around and try to find the students with cards showing the other forms of their number, at which time the group will discuss their number using the talking points. After all the students have matched up and had time to discuss their numbers, pull the group back together and allow the groups to share out. Don’t skimp on the time for discussion…that’s your mathematical practices in action!

To bring the lesson to a close, create an anchor chart with help from the kiddos listing the different forms of the numbers (standard, word, expanded) and an example of each. Have a discussion about what expanded form is, and I’d include a definition. A good kid-friendly way to describe expanded form is that it “shows the value of each digit”.

There are lots of other uses for the cards. Use them another day to practice ordering numbers (don’t forget to include conversations about how kids knew the right order). Use them for an activity on comparing numbers or in small group instruction. Have students write the number form or expanded form from the word form.  So many possibilities!!  You can grab a set with 6-digit numbers, 9-digit numbers, and 12-digit numbers.

 

35 Comments

  1. Donna Grainger

    This is great! Thank you.

    Reply
    • Donna Boucher

      My pleasure, Donna!

      Reply
  2. Roseanne Welte

    Thank you so much these are awesome and a great way to get the students talking about Math.

    Reply
    • Donna Boucher

      You’re welcome, Roseanne! It’s all about getting the kiddos talking!

      Reply
  3. Chrissy Rene

    Love these! They will be perfect for our upcoming math unit!

    Reply
    • Donna Boucher

      Happy to hear they will be a help to you, Chrissy!

      Reply
  4. Kim Balek

    Thanks for sharing these! I’m excited to use them in my classroom.

    Reply
    • Donna Boucher

      Glad they will be useful to you, Kim! 🙂

      Reply
  5. Cyndi-Lu

    This is a great resource and I appreciate the simple format–saves on ink and gets right to the heart of the lesson. Thank you so much for sharing your creativity. Oh, and…perfect timing for my lesson tomorrow!

    Reply
    • Donna Boucher

      You’re welcome, Cyndi-Lu! Sometimes simple is best, right? 🙂

      Reply
  6. callen

    Thank you for sharing these. They are perfect for our first unit of study!

    Reply
    • Donna Boucher

      Awesome! Glad to hear it’s helpful!

      Reply
  7. Tchur8

    Love them and how they are differentiated!! Thank you so much. I will be using them in our 1st unit of study.

    Reply
    • Donna Boucher

      Actually, I made three sets for three different grade levels. But you’re right! You can use them all in the same class to differentiate!

      Reply
  8. Anonymous

    Hi Donna! Thank you for sharing! These are great! I really enjoy your blog and always look forward to them!

    I do have a question about your statement about Common Core not specifying the magnitude of number a student must work with. If I’m reading the standards correctly, First grade is working with just tens and ones, Second grade expands to hundreds, Third grade is still working with hundreds up to 1,000. Fourth grade works with place value less than or equal to 1,000,000. Fifth grade doesn’t specify, other than thousandths. I’m wondering if they are still stopping at 1,000,000 for whole numbers…

    I just wanted to check with you on your statement about place value. Maybe I misunderstood.

    Again THANK YOU for all you do to help us! You are amazing!!!
    Sunday

    Reply
    • Anonymous

      Thank you for your response Donna. Our district just implemented Common Core standards for 3-5, so I am still learning about them. I want to make sure I’m understanding them correctly, so I really appreciate your feedback!!

      For 3rd grade, I was basing the limitation of 1,000 on NBT2 because it is referencing addition and subtraction strategies and algorithms based on place value. I was thinking about place value in general, not just reading and writing numbers.

      The 4th grade domain of NBT references footnote #2 which states that grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

      Again, THANK you for your help and all that you share!

      Reply
    • Donna Boucher

      Hey, Sunday. From what I read, 1st grade is 2-digit numbers, and 2nd grade is up to 1,000 (2.NBT.3). I don’t find a reference to magnitude in 3rd grade at all. In fact, there is no mention of reading or writing numbers in the 3rd grade NBT standards. The only reference to 1,000 is for addition and subtraction (3.NBT.2). In 4th grade, there is also not a reference to magnitude. 4.NBT.2 states, “Read and write multi-digit whole numbers using bse-ten numerals, number names, and expanded form.” Then, like you said, 5th grade brings in decimals, and it specifies “decimals to the thousandths.”

      Reply
    • Donna Boucher

      Yes!! Thanks for pointing out the 4th grade footnote. It’s just kind of interesting that they use the “read and write” language in 2nd, 4th, and 5th, but not 3rd.

      Reply
  9. Jenny G.

    Thanks for sharing! I will be using these in class this week! 🙂

    Reply
    • Donna Boucher

      Great, Jenny! I’m glad it’s one less thing you have to plan. 🙂

      Reply
  10. Pam Holmes

    I really like how you incorporate movement and talking points into your lesson. Communication is one of the key aspects of the math practices, and this is a fun way to encourage students to talk and listen to one another’s ideas/mathematical reasoning.

    Reply
    • Donna Boucher

      Thanks, Pam! I definitely wanted it to be an engaging back-to-school activity, while sending the message about the importance of mathematical conversations and setting up good habits right off the bat.

      Reply
  11. Joan Wilson

    I am so happy you posted about this! It was very helpful to read how you would teach this lesson. I never would have thought to do it before teaching them the different forms of numbers. Great problem solving activity! Getting the task cards was the cherry on top! Thanks so much, Donna :o)

    Reply
    • Donna Boucher

      You’re welcome, Joan! I’m always looking for ways to let the kiddos learn instead of explicitly teaching, if that makes sense. I’m glad you’ll be able to use the cards. 🙂

      Reply
  12. Donna

    This is perfect for what we’re learning about right now! Thanks for sharing. I need all the help I can get with teaching 4th and 5th grade math.

    Reply
    • Donna Boucher

      Happy to share, Donna!

      Reply
  13. Teach80

    Thanks so much for sharing! I love your ideas/activities! Looking forward to using these with my students!

    Reply
    • Donna Boucher

      My pleasure! Glad it’s helpful. 🙂

      Reply
  14. Rissa Webber

    Thanks so much for this resource! It will be great to use in RTI!!!!

    Rissa

    Keep Calm and Hoot On

    Reply
    • Donna Boucher

      You’re welcome, Rissa!

      Reply
  15. Donna Groves

    Thanks for the place value activities!

    Reply
    • Donna Boucher

      My pleasure, fellow Donna! 🙂

      Reply
    • Donna Boucher

      Glad you think it will be useful, Jenn!

      Reply
  16. Michelle ross

    Thank you, will put it to use on Monday!

    Reply

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