Place value understanding supports almost every other skill in math. We teach it first every year for that reason. It's a critical skill.
Here's a way you can practice at home. Draw this place value chart on a large piece of paper:
__________ __________ __________ , __________ __________ __________
hundred ten one hundred ten one
thousand thousand thousand
Ask your child this question: is 6 always worth the same amount? (It's not, but don't try to convince them of that yet! Just listen to their thinking.) Now, grab some post it note and write the number 6 on it. Put the 6 on the line above the tens place. What is the value of 6 tens? Notice, we aren't asking how many tens, we want them to tell us the value, or worth, of 6 tens. If your child isn't able to tell you the value is 60, draw 6 rods (The kids will know what this is...a rod is a base-10 block that is worth 10. You draw it like a tally mark.) Now count by tens to get 60. Ask again, what is the value of 6 tens? Now move the post it to the thousands place. What is the value of the 6 now? Help them to understand 6 thousands is worth 6,000. Repeat this process, moving the 6 around to different place values. Revisit the original question: is 6 always worth the same amount?
Change the post it from a 6 to a different digit and go through the process again reinforcing their understanding that the
PLACE a digit is in determines it's
VALUE. Notice that during this process we aren't filling in all of the place values or making numbers yet. Wait until they have a solid understanding before moving on.
When they're ready, start using whole numbers up to 999,999. Tell them you want to play a game. (They love games. Call it a game and the tension level drops immediately. It doesn't even matter if the game is kinda lame. :) Write a number and underline one of the digits. Have them tell you the value of the underlined digit. For example: 6
54,709. The underlined digit is a 5. The 5 is in the ten thousands place. The value of 5 in the ten thousands place is 50,000.
Note for my struggling learners: If they have trouble figuring out what place value the five is in have them point to each number and say its place value. Point to the 9 and say, "ones." Point to the 0 and say "tens." Point to the 7 and say "hundreds." And so on until they get to the underlined place value. Trust me, they can't do that enough. If they still struggle, make a post it for each digit and physically place it on the place value chart. Still confused? Take all the other digits back off the chart leaving the 5 in the ten thousands place. Connect it back to what they were doing before. When they get it right let them award themselves a star, a sticker or a point on their paper. Ready to play?
Have fun! Be sure to let me know any time you need ideas to help your child this year. Together we help them do great things!