How To Teach Place Value With Place Value Disks | Understood

Explain to students that they'll be using place value disks to help understand place value. You can definitely write in the labels at the top until students get used to using the mat and know where each place value goes. Introduce vocabulary. This video tutorial will really help you see how you might go about applying that concept! How to Teach Place Value With Place Value Disks | Understood. Will they realize that one of the ones discs in the four is actually worth 10 tenths? But don't let that keep you from increasing the complexity of this activity! These resources can also help students understand how to operate with multi-digit numbers. In your class newsletter or at a school event, explain how you're teaching place value. Have students use dry-erase markers to record their responses. We can begin by combining the five tenths with the four tenths.

Draw place value disks to show the numbers
Draw place value disks to show the numbers 5
Draw place value disks to show the numbers 7
Draw place value disks to show the numbers 1
What are place value disks
Draw place value disks to show the numbers 3

Draw Place Value Disks To Show The Numbers

Students have to understand that the zero in the tenths place doesn't mean "nothing", but that it's actually a placeholder for the tenths. Draw place value disks to show the numbers. First, students are going to build the dividend, which is 48, and then kids will know the divisor is four, which is how many groups we're going to create. — SIS4Teachers (@SIS4Teachers) October 6, 2021. How they do it is up to you, but the important part is that they see the discs physically separated into different groups. Explicitly review the academic vocabulary needed for the lesson, including place value, ones, tens, hundreds, and thousands.

Draw Place Value Disks To Show The Numbers 5

You can also put copies of the sentence frames inside the pockets. We start by building the minuend, which is the first number in subtraction, with the discs and we build the subtrahend with the place value strips so students can really see what it is they're subtracting. The T-Pops Place Value Mat gives kids five chalkboard 10-frames and a whiteboard area. Draw place value disks to show the numbers 1. If you want to take division to another level and really understand what happens in the traditional method of division, check out our Division Progression series, the Show All Totals step.

Draw Place Value Disks To Show The Numbers 7

Start with the concrete. We have several different videos showing this concept. What would be 10 less? This is when we get to rename, or regroup. A lot of students struggle understanding the traditional method when it comes to decimals because they don't understand that 10 tenths equals one whole, or 10 hundredths equals one tenth. Students should be able to visually see there are 12 are in each group, so the answer is 12. So it is really valuable to have students build this number with five yellow thousands discs, one hundreds disc and then two ones discs. Draw place value disks to show the numbers 7. So, again, we subtract 12 from 14 and we're left with the remainder, which will also be left with the discs. Whether we're using whole numbers or decimals, we build the minuend, the first number in subtraction, with the discs. How you write the problem out will also help students think differently. Problem solver below to practice various math topics. But what we want them to see here is that I can't take that 100 the way it is and divide it into equal groups.

Draw Place Value Disks To Show The Numbers 1

If students struggle to make the leap to the abstract level, prompt them to go back to using the place value disks and then the drawings. Do the same for 10 tens disks and exchange them for 1 hundreds disk. We can also build a higher number, 234, and ask students to show 100 less. Be sure to spend plenty of time with this idea of subtraction with 10 less or 100 less and flipping over into other place values. Let's try a bit more complicated decimal problem – 41 and six tenths divided by four (41. Ask, "Remember how we have shown six tens in the past? " The 10-frames aren't labeled because, with non-proportional manipulatives there would be no need to label the place value. Differentiation can easily take place based on the skills of the students if you vary the place values that you're using. When we build it, however, they can see that the value of the one is actually 100. This is a question that we get from a lot of teachers and we know that having a Math Salad Bar full of tools but not knowing how to implement them can be frustrating. Moving to the ones, students can combine their ones discs, two and six, to see that they have their final answer, eight and nine ten ths (8. If you want to learn more about place value discs beyond this blog, we highly recommend Why Before How.

What Are Place Value Disks

For example, in Kindergarten and in first grade, we don't have any activities that use the non-proportional discs because, at that age developmentally, they're learning to count and they're learning to understand our number system. I love using the place value discs here because they are always showing the value. If you teach fourth grade, you can also share information about why math at this grade level can be hard. 4) plus two and five tenths (2. Point out the different colors for each type of disk. Try four groups of 126, which might be an opportunity for two students to join together to practice this idea. Try a problem that doesn't work out perfectly in an inquiry-based way where you don't supply all the answers. Watch the videos on our fact flap cards and number bond cards for multiplication and division. Play games like Multiplication Speed and Multiplication Bump. Let this be an inquiry-based exercise – pose the problem and leave it there. After mastering the representational level, move on to the abstract level. Place value discs come in different values – ones, tens, hundreds, thousands, or higher – but the actual size of the disc doesn't change even though the values are different. All of these activities and resources provide opportunities for students to really develop a foundation of understanding for division.

Draw Place Value Disks To Show The Numbers 3

Usually, I like students to keep their decimal and whole number discs separate, but if you wanted students to have a combined kit and you want to streamline, you could probably get rid of your thousandths discs, and if you aren't adding within the 1000s, then could also get rid of those discs as well. This is the early stages of regrouping, but it's so much less daunting than showing them in a big algorithm that they have to figure out. Students can trade in the one for 10 tenths, and now they're looking at 16 tenths, which easily divides into four groups. Our first example shows six and four tenths (6. Then, as they physically take one of the red tens discs away, they will also make the change in their place value strips. We want kids to look at going the other way on the place value chart to see if they can figure out how to change four and two hundredths into three and 92 hundredths by taking away one tenth. The disks also help students compare the value of each place, like that the tens place is 10 times the ones place. Let's look at two and 34 hundredths (2. Additionally, as you help students begin to explore multiplication, you'll want to check out our Multiplication Progression video series, where we begin with the idea of decomposing. We have the one in the ones place, which we can't really break into four groups, so we put a zero at the top of the algorithm to show that we can't divide that place. We DO NOT want to say "carry" because we're not actually carrying anything. Additionally, as you start working with larger groups, a circle might not be the best fit to display your groups.

It doesn't, it's too small. If we labeled the hundreds column, but then put in 200, it looks like we're saying 200 hundreds, which isn't what we mean. If we had two and 34 hundredths (2. Showing the change in value in a conceptual way will help the concept click so much faster. Then, we have to think about what to do if we need four equal groups. Try asking for five and two thousandths. This explanation will take the process I show in that video to a much higher conceptual level for students who might not understand the process. As you increase the complexity of the examples, you do have to be careful as students only have 15-20 of each value in their kits. So, we have to take the tens discs and cash it in for 10 ones, which gives us 14 ones to start dividing. We don't want students to say "two point three three", we want them to really be able to use the place value and say the numbers properly to reflect that place value. Additionally, check out our video on kinesthetic ways of developing division.

Students will look at the tens column and see they don't have any tens to take away, so what equals 10 tens? In fact, it might actually be confusing. It is made up of ____ thousands, ____ hundreds, ____ tens, and ____ ones. Download: Use these printable resources.

The process is the same, but students will have an easier time following the transition if they understand whole numbers first. A really tricky problem would be one tenth less than four and two hundredths (4. The beginning of this problem is fairly simple, we just put one of those four tens into each group. Obviously we're wanting equal groups, so there are only enough for four in each group. Teaching tip: To reuse the place value mats throughout the lesson, put the mats inside dry-erase pockets. Can we take seven away from five? Have students work in pairs and one builds 398 with the place value strips, and the other builds it with discs. Our number bond cards are another great tool to reinforce the ideas of division.

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