Place Value: Everything You Need to Know!

It’s a round-up of place value blog posts to get you excited about teaching this essential concept!A round up of blog posts with great place value lessons and number sense activities

Many teachers start the year working on place value concepts, but it’s truly a topic that we cycle through all year long in increasing sophistication!  Remember, place value is a complex topic that develops as a progression from the very first days in school (or earlier!) to much more advanced mathematics.  Check out this list and see how critical this concept is! If there is a break down at any stage, we run the risk of creating gaps for future learning.

Place Value Progression

  1. In the early grades, a huge focus is on the idea that we can build numbers up to 10, and then “add more” to make bigger numbers.
  2. Students then begin to see how addition and subtraction work together to make (compose) and break (decompose) these numbers into parts.
  3. We see students using objects to “show” these stories.  Gradually, we want them to represent them with numbers and symbols.
  4. As students develop a better understanding of our place value system, we want them to be flexible enough to add or subtract 10 from a number.  This shows a critical understanding of the ones and tens places.
  5. Once students have developed this understanding, we introduce the hundreds place and go through these steps again with these larger numbers.
  6. We also want students to learn about estimating and rounding so they can check work for reasonableness.
  7. We want students to be able to represent numbers in different ways. This could involve manipulatives, number lines, or other models.
  8. As students develop their place value understanding through the hundreds place, we continue to push the addition and subtraction concepts with these numbers.  Again, we stress the idea of composing and decomposing using these different places.
  9. Eventually, we hope the solid place value understanding leads to addition and subtraction fluency.
  10. As students get older, we expect understanding of “place value” for even larger numbers, and then “parts” of numbers with decimals and fractions.

Some Math Lesson Ideas and Motivation for You!

Want some inspiration for your own place value instruction?  Check out the following posts for more!

How about a post about looking for and coaching through place value misconceptions?  CLICK HERE or the image below!  Helping guide students through place value misconceptions and place value lessons.

Estimation is a critical component of place value instruction.  Check out this post for details and strategies!  CLICK HERE or the image that follows.
Teaching estimation as a part of place value assessment

Looking for some information about “structuring”–looking at composing and decomposing smaller numbers.  This is perfect for lower grades or for intervention work for intermediate students.  Click the image below or RIGHT HERE.Teaching structuring in math for basic place value and composing and decomposing numbers.

How about number lines?  This post is all about using number lines to help students model their thinking.  CLICK HERE or the image below!

Using number lines to help students model their place value thinking is key! Check out this blog post with ideas on number line lessons and more!

Wait!  Want to read ANOTHER blog post about number lines?  This one might really get you thinking–and hopefully realize that we can be pushing our students so much more than we do.  Developing “number sense” with large numbers is so important!  CLICK HERE or the image below!
Developing number sense and place value understanding with number lines

My blog has a ton of other posts for you as well–just search for what you need!  Thanks for stopping by…

Don’t forget that you can always search my Teachers Pay Teachers store for place value resources as well.  Click RIGHT HERE to get started! Click the image below to see my HUGE place value bundle!

place value activities and place value worksheets

Also, remember to follow me on INSTAGRAM and FACEBOOK for more ideas, deals and so on!  Click below to get started with my newsletter as well…teaching tips, freebies, and more.