Six-Year-Old Place Value with Bundles

See a ten as one group of ten

Place value explains why the position of a digit matters. In 14, the 1 represents one group of ten and the 4 represents four ones. A bundle of ten paper strips and four separate strips can make that relationship visible before the child is asked to rely on symbols alone.

This activity uses large strips of paper, a band or paper sleeve to hold ten together, and a place to separate bundles from single strips. The goal is to build and explain numbers using tens and ones. The child can count, point, arrange pieces, or direct an adult.

Prepare the materials

Make at least 25 large paper strips of similar size. An adult can cut them in advance, or draw individual marks on a large sheet and use a paper frame to group ten. Prepare two paper sleeves or broad bands that can hold ten strips each, and a work surface with two marked areas.

Label the areas “tens” and “ones” if that is useful. Avoid small loose pieces or elastic bands when they are unsuitable for children present. The child does not need to use scissors, and a partner can move materials under the child’s direction.

Count ten single strips

Place ten separate strips in a row. Count them together, touching or pointing to each strip once: one through ten. Ask the child to show the complete set. If counting becomes confusing, move each counted strip into a second row while keeping all ten visible.

Do not assume that one bundle already means ten to the child. The count establishes what is inside the group. The strips may look like more or less when rearranged, but rearranging without adding or removing pieces does not change their number.

Make one bundle

Gather the ten counted strips into a paper sleeve. Say, “This is one bundle, and it has ten strips inside.” Place the bundle in the tens area. The child can help gather the strips or tell the adult when all ten are included.

The bundle counts as one group and also contains ten individual strips. These statements answer different questions. Ask “How many bundles?” and “How many strips are in that bundle?” while the child can open it or refer to the counted set.

Build fourteen

Place one ten-strip bundle in the tens area and four separate strips in the ones area. Count the four singles. Say, “One ten and four ones make fourteen.” Write 14 nearby if the child is ready to connect the materials with the written number.

Point to the 1 in 14 and the one bundle, then to the 4 and the four single strips. The digit 1 has a value of ten because it is in the tens position. It does not represent one individual strip in this arrangement.

A sample conversation

Adult: “How many groups of ten do you see?” Child: “One.” Adult: “And how many separate strips?” Child counts four. Adult: “That is one ten and four ones: fourteen.” The child may instead point to the bundle and the singles or direct the adult to count.

If the child says “five” after counting the bundle as one object and the four singles as four objects, acknowledge the count: “There are five things on the table if we count the bundle as one thing. The bundle contains ten strips. How many strips are there altogether?”

Count all the strips to check

Open the bundle and lay its ten strips beside the four singles. Count all fourteen one by one if the child wants to verify the total. Then gather ten back into the sleeve and leave four separate. Nothing was added or removed during the exchange.

This check matters because the compact bundle can conceal its contents. The child can compare the unpacked and bundled arrangements. Both represent the same fourteen strips even though the pieces are organized differently.

Build a different teen number

Keep one bundle and replace the four singles with three. One ten and three ones make thirteen, written 13. Compare 13 with 14 and ask what changed. The bundle stayed; one single strip was removed.

Return the removed strip if the child wants to rebuild fourteen. Show the change in the ones position of the written number, but do not rush past the physical action. The written comparison has meaning because the child can see what was added or removed.

Notice the special names of teen numbers

English number names do not all state the tens and ones in the same order as the digits. “Fourteen” includes “four” and “teen,” while “eleven” and “twelve” have less transparent names. Use the words the child knows and connect them to the visible group.

For twelve, show one ten and two ones. Say “twelve” and write 12. If a child says “one and two,” acknowledge the visible digits and explain that the whole number is called twelve. Do not assume the spoken name alone makes place value obvious.

Build nineteen and add one

Place one ten bundle and nine singles on the mat. Count or verify the singles, then add one more. There are now ten single strips. Ask whether the child wants to count and gather them into a second bundle.

After the exchange there are two bundles and no single strips: two tens and zero ones make twenty, written 20. The extra strip did not disappear when the second bundle was made. Opening both bundles would reveal twenty individual strips.

Explain the zero in twenty

Write 20 beside the two bundles and an empty ones area. The 2 represents two tens; the 0 shows that there are no separate ones in this standard grouping. Point to the empty area as you discuss the digit.

Zero does not mean that the whole number is nothing. There are still twenty strips inside the two bundles. If the child points to the bundles when asked whether anything is present, acknowledge that observation and clarify which area the zero describes.

Trade one ten for ten ones

Start with one bundle in the tens area. Open its sleeve and place all ten strips separately in the ones area. Ask whether any strip was added or taken away. The arrangement changed, but the total stayed ten.

Put the strips back into the sleeve to reverse the trade. This exchange can support later work with addition and subtraction, but there is no need to introduce those operations immediately. Let the child handle or direct the movement and count when needed.

Compare sixteen and sixty carefully

With enough materials, sixteen can be shown as one ten and six ones. Sixty would require six groups of ten, which is more than the small initial supply. If those materials are not available, draw six labeled groups of ten and explain what each group represents.

The words “sixteen” and “sixty” sound similar. The written numbers 16 and 60 have different positions and different values. Avoid implying that the original 25-strip set is enough to physically build sixty. A drawing is a separate representation.

Count from ten

With one bundle and four singles visible, say “ten” for the bundle and count on for each single: eleven, twelve, thirteen, fourteen. The child can point to each single as the count continues. Open the bundle and count all strips if that check is useful.

Counting on is one strategy, not a requirement. A child may prefer to count each strip individually or identify the total from the groups. Ask them to show their method if they want to share it.

Arrange the same total in another way

Fourteen strips can be left as fourteen singles or organized as one bundle and four singles. Lay out both arrangements in separate turns using the same pieces. Ask what changed and what stayed the same.

The grouping changed, but no strip was added or removed. For the usual tens-and-ones representation of 14, one group of ten and four ones makes the place values easy to see. Fourteen singles still represent fourteen objects, even though they are not bundled.

If the child points to the wrong digit

When looking at 14, a child might point to 4 and say it represents the bundle. Put the number beside the two marked areas and compare: the 1 is in the tens position and matches one bundle; the 4 is in the ones position and matches four singles.

Ask the child to place a finger or marker below each digit and then indicate the corresponding materials. If the written symbols are not yet helpful, return to the physical grouping and describe “one ten and four ones” without requiring a written answer.

If the child counts the bundle as one strip

A bundle looks like one object when held together. Ask whether the child wants to open it and count the strips inside. Then gather the same ten back into the sleeve. Say “one bundle of ten,” distinguishing the number of groups from the number of strips.

Do not call the child’s count of objects on the table meaningless: one bundle plus four separate strips is indeed five visible items. The place-value question asks for the total individual strips, so the bundle’s contents matter.

Use a smaller first comparison

Begin with ten single strips and one empty sleeve. Count the strips, put them in the sleeve, and open it again. The only idea is that one bundle contains ten. There is no need to add extra ones or write a two-digit number on the first turn.

The child can observe, count, or direct the adult. If ten strips are hard to handle, draw ten large marks in a frame and count them together. A later visit can add one or two separate marks when the child is interested.

Offer a further challenge

Build 23 with two bundles and three singles, using 23 strips. Ask the child to show the tens and ones and describe how they know the total. They can count ten for the first bundle, twenty for the second, then twenty-one, twenty-two, twenty-three for the singles.

A different challenge is to exchange one bundle for ten singles while keeping the total unchanged. The result is one bundle and thirteen singles, which still represent 23 strips but are not the usual grouping with fewer than ten ones. Gather ten singles again to restore two tens and three ones.

Give the child a builder’s role

The adult says a number that can be built with the available pieces, such as 12. The child chooses how to arrange the strips; the adult waits and asks what each group represents. If the child wants a model, show one bundle and two singles.

Next the child chooses a number and directs the adult to build it. The adult can confirm the intended number before moving pieces. If there are not enough strips, either choose a smaller number or use a clearly labeled drawing rather than pretending the missing pieces are present.

Use a partner to check a grouping

One player builds a number and the other describes the bundles and singles. For fourteen, a partner might say “one group of ten and four separate strips.” The builder can confirm or correct the description. Switch roles only if both want to.

Partners do not need to work at the same speed or use the same communication method. One may point while another speaks. An adult can keep the materials accessible and help the players distinguish a bundle count from a strip count.

Connect a bundle to a drawing

Draw one box containing ten marks and four separate marks outside it. Label the box “10” if both players agree that it stands for ten strips. Compare the drawing with the physical bundle and singles.

A box labeled 10 represents a group; the written label is not itself ten physical strips. If the child wants to verify the grouping, count the marks in the box or open the actual bundle. A drawing can make a larger example possible when there are not enough loose pieces.

Notice what the child can show

After playing, consider whether the child counted the ten strips, identified the singles, or used the bundle to count on. The child may need to open a group again or may prefer a drawing. These observations help choose the next invitation.

Do not use one short game as a developmental assessment or compare the number of examples completed with another child. One accurate explanation of the bundle can be a complete activity.

A clear work area for tens and ones

Place two large sheets beside each other. Put a drawn bundle symbol or the word “tens” on the first and a single-strip symbol or “ones” on the second. Show where a bundle belongs and where a separate strip belongs. Labels are supports; they do not change the value of the pieces.

If the child moves a bundle into the ones area, ask what it contains before changing the position. The physical bundle still contains ten strips wherever it is placed. Move it back only if the child agrees to use the marked areas for the current representation.

A child who reads the labels can use them directly. Another child may find pictures more useful, or may ask the adult to name each area. The arrangement should make the comparison easier, not add a separate reading test.

Build eleven and twelve

Place one bundle in the tens area and one single strip in the ones area. Say “one ten and one more is eleven.” Then add one single strip. There are now one ten and two ones, which make twelve.

Write 11 and 12 on separate cards if useful. Compare the ones digits with the visible singles. The first digit is 1 in both numbers because each arrangement has one group of ten. Avoid using the digit alone to stand for one strip in the tens position.

If the child finds the names eleven and twelve unfamiliar, count from the bundle: ten, eleven, twelve. A child can point to the added strip at each step. Revisit one example rather than requiring both names immediately.

Compare fourteen and seventeen

Build fourteen with one bundle and four singles. Record or draw the arrangement, then add three singles to make seventeen. Count the singles to verify that there are now seven, while the bundle remains unchanged.

Write 14 and 17 if the child wants to compare the symbols. Both have one ten; the number of ones changes from four to seven. The child can point to the 4 and 7 or explain the difference with the pieces.

To return to fourteen, remove three singles and set them aside. Count the four remaining singles. The comparison shows a change of three in this specific example without requiring a separate worksheet.

Build and name twenty-one

Place two bundles in the tens area and one separate strip in the ones area. Count the bundles as ten, twenty, then count the single as twenty-one. Write 21 beside the materials if that helps the child connect the arrangement with its name.

The 2 in 21 represents two groups of ten, and the 1 represents one single strip. Ask the child to show each part. If they count three objects on the table, explain that there are three visible items but the bundles contain twenty individual strips.

If the supply contains only 21 strips, this example uses all of them. Keep the bundle contents visible by opening one when requested, and restore the same ten strips to the sleeve afterward.

Compare twelve with twenty-one

Build 12 using one bundle and two singles. Then rearrange the available strips to build 21: gather another group of ten and leave one single. The written numbers use the same digits in opposite positions, but they represent different totals.

A small set of 25 strips cannot display both full physical arrangements at the same time. Build them one after the other, and use a drawing or note to remember the first. The child can count each arrangement rather than relying only on the reversed digits.

For 12, the 1 means one ten and the 2 means two ones. For 21, the 2 means two tens and the 1 means one one. The position changes what each digit represents.

Check that a sleeve has exactly ten

Before treating a new sleeve as one ten, empty it and count the strips inside. If there are nine, add one strip from the available supply; if there are eleven, remove one. The child can point to each counted strip or direct the adult.

The sleeve itself does not make any collection a group of ten. Its contents determine the quantity. This check prevents an accidental mismatch between the written label and the materials.

After counting, close the sleeve and describe it as one bundle of ten. If the child asks to open it again, that is a useful way to verify the representation, not a reason to hurry ahead.

Add one without changing the ten

Start with one bundle and four singles. Add one single strip to the ones area. The bundle remains intact and there are five singles, so the total is fifteen. Write 14 and 15 beside their respective arrangements or draw the first arrangement before changing it.

Point out that the tens digit stays 1 while the ones digit changes from 4 to 5. The action supports the written comparison. If the child removes a strip instead, describe that action separately and count the result.

Use the same pieces to return to fourteen. Moving one strip in and out of the ones area helps the child track the change without rebuilding the bundle each time.

Adding one when nine ones are present

Build nineteen as one bundle and nine singles. Add one single, giving one bundle and ten singles. Count the ten singles before placing them in a second sleeve. The exchange creates two bundles with no singles left over.

Both arrangements contain twenty strips: one ten and ten ones before the exchange, and two tens after it. Write 19 before adding, then 20 after grouping if symbols help. The digits change in both positions because the new group of ten replaces ten separate ones.

The physical exchange is a way to explain the change, not a demand that a child perform it quickly. Leave the ten singles visible as long as needed before gathering them.

Ask for an explanation in the child’s form

For 23, a child might say “two tens and three,” point to each bundle and the singles, or arrange the pieces while an adult narrates. Ask “Can you show me how you made it?” and accept the form of communication the child chooses.

If the adult is unsure what a gesture means, confirm before moving a piece. A communication board or device can be positioned beside the work area. Allow time for the child to choose a message and for the partner to respond.

An explanation need not include formal vocabulary to show the relationship. The adult can introduce “tens” and “ones” while connecting the words to the groups the child indicates.

Keep the quantity when regrouping

Begin with two bundles and three singles. Open one bundle and spread its ten strips beside the three singles. There is now one bundle and thirteen singles. Count the loose strips if desired and note that no piece entered or left the work area.

Gather ten of the thirteen singles into the sleeve again. One bundle plus the new bundle makes two tens, with three singles left. Both arrangements contain 23 strips. The latter is the usual tens-and-ones grouping for writing 23.

If the child accidentally adds or removes a strip, pause and count the materials. Restore the original number before saying that the two arrangements have the same total. The explanation depends on preserving the pieces.

Continue on BrainHunters

If the child wants a separate screen activity, explore numbers on BrainHunters together. Read the prompt actually shown and help the child select an answer in an accessible way.

The paper-strip activity is not automatically recorded on the site. A screen is optional; the same place-value idea can be revisited with the saved bundle and singles when the child wants to.