Counting to Ten: How Many Altogether?

Help your child count up to ten things, whether they stand in a row, sit in a circle or lie in a jumbled pile, and say how many there are. You will practice the number words to ten and back again, one number word for each object, and the idea that the last number your child says tells how many. You will also help your child count things they cannot touch, such as claps and jumps, make a sensible guess before counting, count out a number from a bigger pile, and see that a group keeps its number when it is spread out or pushed together. Short games and everyday routines show you what your child can already do and what to try next.

Pre-K, KindergartenLesson 1 of 6 in Early Math for Ages 4 to 5 Course

What you will learn

  1. Help your child say the number words from one to ten in order, give one number word to each thing they count, and know that the last number they say tells how many there are.
    • Say the number words from one to ten and back again
      Practice the counting words forward to ten, backward from ten and from a starting number other than one, with songs, rhymes and fingers.
    • Give one number word to each thing
      Help your child touch or move each object as they say one number word, so every object is counted once and only once.
    • Know that the last number says how many
      Help your child answer "How many?" with the last number word of the count and understand that it tells the size of the whole group.
  2. Count objects in lines, circles and jumbled piles, count things your child cannot touch, and make a sensible guess before counting to check.
    • Count things in a line or a circle
      Count rows, rings and neat rows-and-columns of up to ten objects by choosing a starting point and moving along in one direction.
    • Count a scattered group
      Count up to ten objects lying in a jumble by moving, lining up or marking each one so that nothing is missed or counted twice.
    • Count things you cannot touch
      Count sounds, movements and things too far away to touch, using pointing or fingers to keep track.
    • Guess how many, then count to check
      Make a sensible guess about the size of a small group, then count to find the exact number and compare the two.
  3. Take exactly the number asked for from a larger pile, and make a group that matches a number your child hears or a group they see.
    • Count out exactly the number asked for
      Remember the number asked for, move objects one at a time while counting, and stop at that number.
    • Make a group to match a number or another group
      Build a group as big as a number your child hears, a number of claps, or a group someone else made, and check that the two match.
  4. Understand that a group keeps its number when its objects are spread out, pushed together or rearranged, and that adding or taking away objects changes the number.
    • Spread out or pushed together: still the same number
      See that rearranging a group does not change how many objects it has, even when it looks bigger or smaller.
    • Tell which changes keep the number and which change it
      Tell apart changes that keep the number the same from changes that make it bigger or smaller, and trust a count without starting again.
  5. Notice which counting skills your child already has, find the reason behind a wrong count, and fit short counting games into everyday life.
    • Find out what your child can already do
      Use short, friendly counting tasks to see how far your child counts and which counting idea needs more practice.
    • Make counting part of everyday life
      Use routines, games, songs and books for short, frequent counting practice that stays playful.

Counting to Ten study guide

5 chapters

1

From counting words to counting toys

Your child may enjoy saying the numbers quickly. Counting toys asks them to slow down and make the words mean something. Help them keep the words in order, give each toy one word, and use the last word to tell how many. Watch their hands as well as listen to their voice.

1.1 The words forward and back

The words from one to ten always come in the same order. This is the stable-order principle. Your child knows the first part already. Give the newer words, from six to ten, a little extra practice.

Say a short stretch together

Say, "One, two, three, four, five, six, seven, eight, nine, ten." Keep a comfortable beat. Raise one finger with each word until both hands are open. Starting with your thumb or pointer finger is fine; use the way that feels familiar.

A song or rhyme can help the words stick. Try "One, Two, Buckle My Shoe," or count while washing hands. If your child says "six, seven, nine," join in with "seven, eight, nine." Repeat that short stretch, then let your child finish with "ten." You can give the missing word without turning the game into a correction.

Count back for a launch

Use a pretend rocket and say, "Ten, nine, eight, seven, six, five, four, three, two, one. Blast off!" Counting backward takes more practice. Begin with "three, two, one" if the longer countdown feels hard. Add a few earlier words as your child becomes comfortable. "Ten in the Bed" gives another playful way to hear a count going down.

Begin somewhere new

Ask, "Start at six and keep going." Say "six" together, then listen for "seven, eight, nine, ten." If your child starts at one, give the starting word again and quietly help with the next word. Try "Start at five and count back" another day.

For a stop-and-go game, say "one, two, three" and pause. Let your child supply "four." Change the stopping place each turn so they learn to join the chain at different points.

Saying the words and counting things are separate skills. Listen on different days for a steady forward count, a backward count, and a count from another starting word. Then try a small group of toys to see how your child uses those words.

Key Takeaways

  • Keep the number words in order each time.
  • Practice the tricky stretch slowly, with songs or fingers.
  • Build backward counting from a short countdown.
  • Try starting at different number words.

1.2 One whole word for each toy

A careful count gives each thing exactly one number word. No toy is skipped, and no toy gets two turns. This matching is called one-to-one correspondence. With six to ten things, your child has more to keep track of than before.

Make the counted toys easy to see

Put eight large blocks beside an empty box. Show your child how to move one block into the box as you say "one." Move the next as you say "two." Continue one block at a time through "eight," then stop. The box holds the counted blocks; the space beside it holds any that still need a turn.

Let your child try. Watch for a move and a word happening together. If their voice races ahead, slow your own count and move alongside them. If they reach the end but keep saying numbers, ask, "Are there any blocks left to count?" A number word needs a block, too.

Find the slip in the action

A skipped block makes the answer too small. A block counted twice makes it too big. Suppose six toy animals are on the rug. Your child says the words in order but touches one animal twice and ends on "seven." Help them move each animal onto a cushion as they count again. The new place shows which animals have already had a turn.

If two words come with one touch, keep your finger still until one whole word is finished. Then move to the next thing. A slow tap for each word can help your child’s hand and voice stay together.

Give "seven" one turn

"Seven" has two spoken beats: "sev-en." It still names one number. Some children move to a new toy halfway through the word. Say "seven" while holding one block, then put it down before saying "eight" with the next block. You can also clap once for each whole number word before trying the toys again.

Key Takeaways

  • Give each object one whole number word.
  • Move counted toys to a separate place to keep track.
  • Watch for skipped toys and repeat touches.
  • Slow down when the hand and voice lose their rhythm.
  • "Seven" gets one touch, even though it has two spoken beats.

1.3 The last word names the whole group

After an accurate count, the last number tells how many things there are altogether. This idea is called cardinality. Your child may count every toy correctly and still need help using the count to answer "How many?"

Finish with the whole group

Put six toy fish on the table. Touch each fish once as you say "one, two, three, four, five, six." Pause on the last word. Sweep your hand around all the fish and say, "Six fish altogether."

The sweep gives "six" a meaning beyond the fish touched last. Ask your child, "How many fish can the teddy see?" Accept "six" as the answer. They do not need to say the whole counting list again.

If your child starts over straight away, first check that their count was accurate. If it was, model the finish: "You ended on six. Six fish!" Invite them to tell the teddy. If they missed a fish, help them count carefully before using the last word. The last word tells the total when the count gives every fish one turn.

Try the other end

Line up nine crayons and count from one end to the other. Begin at "one" again at the opposite end and count every crayon once. Both counts finish at "nine." The crayon that gets the last word has changed, but the whole group is still nine.

Counting the objects in a different order keeps the total. The name for this is the order-irrelevance principle. The number words still stay in their usual order; it is the order of visiting the objects that changes.

Listen for an answer

Mix the group sizes over a few days. A short row of three and a larger group of ten both invite the question "How many altogether?" Give your child time to answer before you help. An accurate count followed straight away by the final word shows this idea at work.

If your child forgets the number later, count again together. Remembering an earlier answer takes memory as well as counting. Look for how they use the last word just after they finish.

Key Takeaways

  • The last word of an accurate count names the whole group.
  • A hand sweep can show what "altogether" means.
  • Visiting the same objects in a different order keeps the total.
2

Keep track wherever things are

A row gives your child a clear path to follow. A ring, a heap, or a series of sounds needs a different way to keep their place. Use a starting mark, a space for counted toys, or raised fingers. A quick guessing game gives them a reason to count and check.

2.1 Rows, rings, and trays

The way things are laid out can make counting easier or harder. A row has two ends. A circle is a ring with no clear start. An array has neat rows and columns. Help your child find a path that visits every object once.

Follow a row from end to end

Line up seven toy trucks. Start at one end and point to each truck in turn, saying "one" through "seven." Stop at the far end. Starting at the right works as well as starting at the left.

Leave enough room for a clear touch. When trucks are pushed close together, your child’s finger may jump past one. Slide them apart a little, then let your child count again.

Remember the start of a ring

Put eight toy animals in a ring. Choose a starting animal and place a ribbon beside it. Count that animal as "one," then go around the ring in one direction. Count the other animals and stop before giving the marked animal another turn.

A child can keep going around because there is no empty end of the line. If the answer keeps growing, ask, "Where did we start?" Keep a finger beside the starting animal during the next count. The mark shows where to finish; it does not add another animal to count.

Continue into the next row

Put toy muffins in a tray with two rows of four. Count along the top row: "one, two, three, four." Move to the start of the bottom row and continue: "five, six, seven, eight." The tray holds eight toy muffins.

Your child may begin again at "one" on the bottom row. That counts each row separately. Show the move between rows with your finger and say, "We got to four. Now five." Keep the count going until every muffin has had a word.

Try these paths in familiar places: toys parked in a line, cups around a table, or pictures set in neat rows. Ask your child where they plan to start.

Key Takeaways

  • For a row, count from one end to the other.
  • For a ring, mark the start and stop before counting it twice.
  • For rows and columns, keep counting when you move to the next row.
  • Clear spaces help small fingers keep their place.

2.2 A place for toys already counted

Loose toys on the floor have no ready-made counting path. Your child may visit one twice or leave one out. Give the counted toys a place of their own, or make a row before starting.

Move each toy once

Scatter seven large blocks beside a mat. Say, "How many blocks are here?" Your child moves one block onto the mat for "one," another for "two," and continues until the floor beside the mat is clear. They finish on "seven," so there are seven blocks.

If a block remains outside the mat, it still needs a turn. If your child reaches back into the mat, remind them that those blocks are done. Moving the toys makes the two groups easy to see.

Another way is to line up the whole jumble first, then count along the row. Making the row moves the blocks but keeps the same number. Your child can choose either method when both are familiar.

Keep track of fixed pictures

Pictures in a book cannot slide into a box. Follow a path across the page, working from top to bottom. You can lay a counter over each picture as your child counts it. The covered pictures show where they have been.

If two counts give different answers, try again slowly together. For loose toys, change the method: line them up after counting them in a heap. Watch that each one gets exactly one word during the check.

Choose what belongs in the count

A basket holds three toy dogs, two toy cars, and one toy cup. "How many toys?" includes them all and gives six. "How many cars?" includes just the two cars. Different kinds of things can belong to one group when that is what you want to count.

Say the question before your child starts. They need to know whether to count every toy or just one kind. If the answer seems unexpected, check what they chose to include as well as how they counted. At cleanup time, "How many toys went into the box?" gives a jumble a useful counting job.

Key Takeaways

  • Move each counted toy aside or line up the group first.
  • Use a clear path or covers for pictures that stay in place.
  • Say what you are counting before starting.
  • Check a muddled count slowly, using another method.

2.3 Count a sound or a movement

Claps, jumps, and distant objects can all be counted. Counting applies to things beyond objects held in the hand. This is the abstraction principle. The same one-for-one match still matters.

Save each clap on a finger

Ask your child to hold both hands closed. Clap slowly five times. With each clap, they raise one finger and leave it up. When you stop, they count the raised fingers and say, "Five claps."

The fingers hold a record after the sounds have ended. Your child can also say one number word with each clap. Leave a clear pause between sounds so they have time to respond. If they keep counting after you stop, try a shorter turn and help them stop with the final sound.

Build toward longer turns, up to ten sounds, as the match becomes steady. Speed can wait. When the claps come too quickly, your child’s voice or fingers may fall behind.

Choose one moment in a movement

Say, "Let’s count your jumps." Count one word for each landing. A jump includes going up and coming down; it gets one word altogether. Your child can count your jumps first, then count while jumping themselves.

Ask for an amount, too: "Can you jump six times?" Your child counts each landing and stops on "six." If moving and counting together is difficult, you can say the words while they jump, then swap roles.

Point from a distance

For birds sitting on a fence, choose one end and point to each bird in turn. The finger moves along the fence while the number words stay in order. Your child can count windows on a building in the same way.

A bird that flies away or a toy rolling past is harder to keep track of. Start with things that stay still, then try slow movements. Count a passing thing as it goes by; once it has passed, checking it again is harder.

Key Takeaways

  • Sounds and movements can be counted, just like objects.
  • Raise one finger per sound to save a record.
  • Give a whole jump one count, at the landing.
  • Point along a clear path for objects out of reach.

2.4 A quick guess, then a careful count

An estimate is a sensible guess made without counting each thing. It can be close without being exact. A careful count finds the exact number.

Look, guess, check

Show your child a small tray of seven blocks for a few seconds. Cover it and ask, "About how many blocks did you see?" Suppose they guess "six." Uncover the tray and count together, one word per block, ending on "seven."

Say, "You guessed six. We counted seven. Your guess was close!" The guess came from looking at the whole group. The count checked every block. Keep both numbers in the conversation so your child can compare them.

Your child may count quietly before offering a guess. Covering the tray after a quick look helps them try estimating. If they want to be exactly right, say, "We're making a guess first. Then we'll find out." Leave the checking until after they have guessed.

Help a guess become sensible

Use words such as "about," "nearly," and "a few." If your child guesses "a hundred" for a small handful, ask whether it looks like fewer than ten. Then uncover the group and count it together. The counted amount gives them something real to remember for next time.

Try another group that looks similar in size. After counting seven blocks in a tray, show another tray with about the same amount. Ask, "Does it look close to seven?" Let your child make a new guess, then check it.

Groups of about five to ten are useful for this game. Your child may know a very small group at a glance, so there is little guessing to do. Use different sizes across turns, and keep the check slow enough that the exact answer is trustworthy.

Key Takeaways

  • An estimate is a sensible guess, not an exact count.
  • Give a quick look before asking for a guess.
  • Count afterward and talk about how close the guess was.
3

Make the group you need

"How many are here?" and "Please give me six" ask your child to do different jobs. To make a group, they must keep the requested number in mind and stop at it. Matching gives that job a purpose: enough cups for the plates, or enough toy food for the animals.

3.1 Remember the number and stop there

Counting out means taking a requested number from a bigger group. Your child needs to remember the number, move one object with each word, and stop when that number is reached.

Make an order for a toy truck

Put ten blocks in a basket and an empty toy truck beside it. Ask, "Please put seven blocks in the truck." Before your child starts, ask, "How many do we need?" Say "seven" together.

Your child moves one block into the truck for "one," then another for "two." They carry on through "seven" and stop. Count the truck’s blocks to check: seven altogether. The basket still holds three blocks. Those blocks stay there because the order is finished; your child does not need to count the whole supply first.

Help with the step that slips

If your child scoops up a handful, count that handful together. Put back extra blocks or take another block as needed, then check the new group. On the next turn, help them move one block at a time.

If they count all the way through the basket, remind them of the requested number before trying again. At first, you can say "seven, stop" together. Give less help as your child begins to stop alone.

If they forget midway, repeat the requested number and start a shorter turn. Try five or six before asking for eight or nine. A child can understand how many a counted group has and still find it hard to remember a request while moving toys.

What if the basket runs out?

Ask for eight toy animals when only six are available. Your child counts every animal and reaches "six." Say, "We've used all the animals. We don't have eight."

Try small jobs with a clear stopping point: spoons for the table, books for bedtime, or blocks for a delivery. Let your child give you the finished group and tell you how many they brought.

Key Takeaways

  • Say the requested number before starting.
  • Move one object with each number word.
  • Stop at the requested number and check the finished group.
  • Watch remembering, moving, and stopping as separate steps.
  • Running out means there are not enough for the request.

3.2 Make two groups match

Groups match in number when each thing in one group has one partner in the other, with nothing left over on either side. The objects can look different. Cups and plates can match in number even though their shapes differ.

Put a partner beside each one

Set out five toy plates. Ask your child to put one cup beside each plate. Check the pairs together. Every plate has one cup, every cup has one plate, and nothing is left over. The groups have the same number.

This is pairing. Your child can make a matching group without saying a number first. If one plate has no cup, the groups do not match yet. If a plate has two cups, move the extra cup and check every pair again.

Count when the groups are apart

Put eight toy sheep on one side of the room. Ask your child to bring the same number of blocks for their beds. Count the sheep together and remember "eight." At the basket, count out eight blocks and stop.

Bring the blocks back and put one by each sheep. The pairing checks the remembered number and the counted-out group. If there is a sheep without a block, or a block without a sheep, count both groups again.

Match the number, not the row’s length

A row of six small blocks can be made as long as a row of four large blocks. Equal lengths do not tell you the groups match. Place one small block beside each large block. Two small blocks are left without partners, so the groups have different numbers.

You can also match sounds. Clap slowly while your child puts one block on a mat per clap. When you stop, count the blocks together. Each block stands for one clap, so the group records the number of sounds.

For a spoken request such as "Make a tower with nine blocks," your child counts out the named amount. For a visible group, they can pair directly or count and then make the same number. Choose the method that fits where the groups are.

Key Takeaways

  • Pairing checks for one partner each and nothing left over.
  • Count and remember the amount when groups are far apart.
  • Equal row lengths can hide different numbers of objects.
  • One object per sound makes a group that matches the sounds.
4

New shape, same number

A long line of toys can look like more than a short one. Help your child follow what happened to the toys as you moved them. Spreading, stacking, and covering keep the number. A toy joining or leaving changes it. Let your child predict, then check together.

4.1 Spread them out and count again

Moving the same objects into a new shape keeps their number. This is conservation of number. A group can take up more space without having more objects.

Compare before and after

Make two rows of five large blocks. Place each block in one row beside a partner in the other. Count each row: five and five. Your child can see that the numbers match.

While your child watches, spread one row farther apart. Leave every block in its own row. Ask, "Do the rows still have the same number, or does one have more?" Give your child time to look and explain.

If they choose the longer row, count both rows together. Each still finishes on "five." Point out what happened: "We moved the blocks. No new blocks joined." Push the long row together again so your child can follow the move back.

The longer row is tempting because it fills more space. A careful count lets your child check the number instead of relying on the look. They can recount while they are learning this idea.

Try another shape

Build a tower with seven blocks and count them together. Lay those same blocks flat in a line. Before counting again, ask, "How many blocks now?" The answer is still seven: every block from the tower is in the line.

On another day, put nine toy animals in a tight group, then spread them around a pretend field. Ask for a prediction before checking. Keep the moves visible so your child can follow each animal.

Keep size and number separate

Three large toy elephants take up more room than five small toy mice. Counting gives three elephants and five mice. Large objects are not extra objects; each animal gets one word.

Key Takeaways

  • Rearranging changes the layout and keeps the number.
  • A longer row can have the same number as a shorter row.
  • Let your child watch, predict, and check by counting.
  • Big objects do not count as extra objects.

4.2 Follow what joins and what leaves

Turning, stacking, covering, or moving the same toys keeps their number. Adding a toy makes the number bigger. Taking one away makes it smaller. Help your child watch the change itself.

Follow a short toy story

Count four toy cars into a garage. While your child watches, drive one more car in. Count the cars again: five. Now spread those five cars across the rug. Ask, "How many cars now?" There are still five. The arriving car changed the number; spreading them changed their places.

Covering keeps the toys there

Count eight toy animals on a mat. Lay a cloth over them without moving any away. Ask, "How many animals are under the cloth?" There are eight, even though you cannot see them. Lift the cloth and count together to check.

Moving those same animals into a tall box also keeps eight. A different container may make a group look fuller or taller. Pour them out and count if your child thinks the container made more.

Count the pieces you made

One cracker can be broken into two separate pieces. There are now two pieces to count, although they came from one cracker. Say what you are counting: "One whole cracker before; two pieces now." The counted things have changed when a whole object becomes separate pieces.

Key Takeaways

  • Adding or taking away objects changes the number.
  • Covering or changing containers keeps the same objects in the group.
  • Name the counted things when a whole object becomes pieces.
5

Notice a small step and play again

A wrong answer can show you where to help when you watch the count. Listen for the words, follow the touches, and notice the finish. A little practice during a familiar routine lets your child try again without a long lesson. Choose one useful step at a time.

5.1 Watch how your child gets an answer

Your child’s method tells you more than the answer alone. A guess and a careful count can both happen to land on "eight." Watch what your child does before deciding what to practice.

Look at four parts of the count

Spread a few short games over several days. Listen to a count forward and back. Try a row, then a loose group. Ask "How many altogether?" after a count, and ask your child to give you a requested number.

Look for these four things:

  • Are the number words in order?
  • Does each object get one word and one turn?
  • Does the last word answer "How many?"
  • Does your child stop when making a requested group?

You can also count claps and try spreading a counted row. These show how the familiar count works in another setting.

Choose help from what you saw

Suppose your child counts nine scattered blocks and says "ten." You saw one block touched twice. Try moving each counted block into a box. Practicing the word order would miss the slip you actually saw.

If the touches are steady but your child skips "eight," say the tricky word stretch together. If an accurate count ends and your child immediately starts over at "How many?", model the last word with "altogether." If they forget the total later, help them count again.

For counting out, check remembering and stopping too. Your child may give you every block because they forgot the request, even though they can count the blocks accurately. Ask them to repeat the requested number before the next turn.

Try again with less help

Choose an amount your child can nearly manage. If eight keeps becoming muddled, try six, then seven. Count together once and let your child have a turn alone.

Notice a useful choice: "You moved each toy aside. That helped you keep your place." Look for the skill on another day, with other objects or a new layout. Doing it without help in different games shows that your child can use it beyond one familiar turn.

Key Takeaways

  • Watch words, touches, the total, and stopping.
  • Choose help that fits the slip you actually saw.
  • Use a smaller group when a count is too hard.
  • Look for independent success on different days.

5.2 Give counting a small daily job

A few minutes of counting can fit inside play, cleanup, and family routines. Keep the turns short and frequent. Finish while your child still wants to play.

Pick a job with a reason to count

At cleanup, ask, "How many animals went into the basket?" Your child moves each toy once and tells you the final number. At bedtime, ask for two books and let them stop after choosing two. Waiting for a pretend rocket gives you a reason to count backward.

Table time can bring several skills together. Ask for four plates. Your child counts them out and stops, then pairs one cup with each plate. Move the places around and ask how many plates there are now. The table still has four.

Use a counting picture book when your child wants to sit with you. Point to one picture per number word. A rhyme or song helps with the words; pointing to the pictures gives the words something to count.

Let your child check you

Make a playful mistake with a teddy. The teddy says "one, two, four" while counting. Ask, "Can you help Teddy?" Let your child supply "three" and show the count again.

Another turn, touch one toy twice. Invite your child to show a way to keep track. Catching your mistake gives them a chance to explain what works. Change roles again before the game becomes tiring.

Choose safe things to handle

If your child still puts things in their mouth, count large toys instead of buttons, beads, or dried beans. For snacks, cut grapes and other small, round foods into tiny pieces that are no longer round, and stay with your child while they eat.

Offer a choice such as "Shall we count the trucks or the blocks?" Keep the group small enough for a useful turn. When your child loses interest, leave the next counting job for another time.

Key Takeaways

  • Use short, frequent turns inside familiar routines.
  • Give the count a purpose, such as filling an order.
  • Let your child catch and explain a playful mistake.
  • Choose objects and snacks your child can handle safely.
  • Stop while the game is still enjoyable.

Counting to Ten examples

5 Walkthroughs

1

Give counting words a job

12 steps
Practice the words, one turn per toy, and the last word as the total.
  1. 1
    IntroductionWords, turns, and a total

    Your child can learn a counting rhyme before they can count its toys. Help the words do three jobs: stay in order, give each thing a turn, and name the whole group at the end. We will use a short word game, then count toy animals together.

  2. 2
    ExplanationKeep the words in order

    Say, "One, two, three, four, five, six, seven, eight, nine, ten." This fixed order is the stable-order principle. Raise one finger with each word. If your child skips a word, say that small stretch slowly together, then let them finish.

  3. 3
    ExampleBegin at a new word

    Ask, "Start at seven and keep going." Begin together: "Seven." Pause for your child to add "eight, nine, ten."

    For a backward turn, try "five, four, three, two, one." A short countdown lets your child practice the less familiar direction without holding the whole ten-word chain at once.

  4. 4
    ChallengeHelp the countdown

    Your child starts a countdown with "six, seven." What word should follow "six" instead?

    ---reveal---

    "Five" follows six in a backward count. Say "six, five, four" together. Seven would move the count forward.

  5. 5
    ExplanationMake every move count

    Each toy gets one whole number word. This is one-to-one correspondence. Put nine toy animals beside an empty play pen. Count an animal only as you move it inside. The pen holds finished animals, leaving the others waiting outside.

  6. 6
    ExampleMove the first animals

    Move one animal into the pen and say "one." Move a second and say "two." Continue one move per word through "six."

    There are now six animals inside and three still waiting. Keep the finished animals in the pen so they cannot accidentally get another turn.

  7. 7
    ExampleFinish with whole words

    Move the next animal while saying the whole word "seven." Then move one for "eight" and one for "nine." The waiting space is empty, so stop.

    "Seven" has two spoken beats but gets one animal. Moving halfway through that word would use two animals for one number.

  8. 8
    ChallengeNotice the repeat turn

    A teddy counts four toy animals but touches the first animal twice. Why could the teddy finish on "five"?

    ---reveal---

    One animal got two number words, making five turns for four animals. Move each animal into the pen once to check the count.

  9. 9
    Key InsightSay what the last word means

    Return to the nine animals you counted accurately into the pen. Sweep a hand around the whole group and say, "Nine animals altogether."

    The last word names all the animals. This is cardinality. Ask your child to tell the teddy how many animals are in the pen.

  10. 10
    ExampleTry a different visiting order

    Line up the same nine animals. Count them from one end, then begin again at "one" from the other end. Both counts finish on "nine."

    Each animal still has one turn. This is the order-irrelevance principle: the objects can be visited in a new order without changing their total.

  11. 11
    ChallengeGive the whole-group answer

    Your child counts six toy bugs once each, in the usual word order. They finish on "six," then ask whether only the last bug is six. What could you show?

    ---reveal---

    Sweep around all the bugs and say, "Six bugs altogether." The careful one-for-one count gave six as the total for the whole group.

  12. 12
    RecapLet your child finish

    Listen for the number words, watch for one turn per object, then ask "How many altogether?" Give your child a moment to use the last word. Try the next turn with fewer toys if keeping hands and words together feels hard.

2

Find a way to keep your place

14 steps
Follow rows and rings, track a heap or sounds, and check a quick estimate.

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  1. 1
    IntroductionChoose a path or a record
  2. 2
    ExampleStart and finish a row
  3. 3
    ExampleTurn the row into a ring
  4. 4
    TipCarry on into another row
  5. 5
    ChallengeFind the stopping place
  6. 6
    ExplanationGive finished toys a home
  7. 7
    ChallengeChoose what the question includes
  8. 8
    ExplanationSave a sound
  9. 9
    ExampleFollow four taps
  10. 10
    ChallengeCount a movement once
  11. 11
    ExplanationLook before you count
  12. 12
    ExampleTalk about the difference
  13. 13
    ChallengeCheck a guess in a jumble
  14. 14
    RecapMake the next turn manageable
3

Fill an order and make a match

10 steps
Remember the request, stop at the amount, and check that every object has a partner.

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  1. 1
    IntroductionAn amount with a purpose
  2. 2
    ExplanationSay the order first
  3. 3
    ExampleLoad one at a time
  4. 4
    TipFind the difficult step
  5. 5
    ChallengeThe order is smaller than the pile
  6. 6
    ExampleGive every plate a partner
  7. 7
    ConnectionMatch a group across the room
  8. 8
    Key InsightLook at partners, not length
  9. 9
    ChallengeFinish the pretend meal
  10. 10
    RecapHand over the finished group
4

Follow the same toys through a move

9 steps
Predict what happens when toys move, hide, join, or leave.

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  1. 1
    IntroductionWatch the objects through the change
  2. 2
    ExampleCount the matching rows
  3. 3
    ExampleStretch one row
  4. 4
    ChallengeChange the shape again
  5. 5
    ExampleLet a toy leave
  6. 6
    Key InsightOut of sight still counts
  7. 7
    ExplanationA whole and its pieces
  8. 8
    ChallengeFollow both changes
  9. 9
    RecapAsk what happened
5

Watch, choose help, and play again

8 steps
Use what you notice to choose a short, useful counting game.

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  1. 1
    IntroductionA count shows where to help
  2. 2
    ExplanationWatch four parts
  3. 3
    ExampleUse the slip you saw
  4. 4
    ChallengeChoose one helpful change
  5. 5
    ConnectionGive the skill a daily job
  6. 6
    TipLet your child be the checker
  7. 7
    ChallengeFit the game to the next step
  8. 8
    RecapTry it another day

Counting to Ten practice questions

40 Practice Questions in 4 sets

Set 1: Listen and watch a count10 Practice Questions

Question 1 of 10

You pause after saying "one, two, three, four, five, six." What word should your child say next?
  1. Five.
  2. Eight.
  3. Seven.
  4. Ten.
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Answer: C
"Seven" comes straight after "six" in the forward count. Saying "eight" would skip a word, even though eight also comes later in the chain.

Question 2 of 10

Your child says the number words correctly but touches one toy rabbit twice. How does that affect the count?
  1. It makes the count too big.
  2. It makes the count too small.
  3. It keeps the count the same.
  4. It starts the count over again.
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Answer: A
The extra touch gives one rabbit two number words, so the final count is too big. Correct word order alone cannot fix an extra turn for the same rabbit.

Question 3 of 10

Your child counts every puzzle piece once, ending on "ten." What answers "How many pieces altogether?"
  1. One piece.
  2. Nine pieces.
  3. Eleven pieces.
  4. Ten pieces.
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Answer: D
The last word of the accurate count names all ten pieces. "One" would count only a single piece, but "altogether" asks about the whole counted group.

Question 4 of 10

Your child counts toy trees around a circular track but keeps going and visits some again. What change would help?
  1. Start at another tree and keep circling.
  2. Mark the first tree and count around once.
  3. Count the trees faster without a pause.
  4. Begin at one again halfway around.
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Answer: B
A marked start shows where the round began and where to stop before a repeat visit. Starting at a different tree still leaves the same stopping problem unless the start is remembered.

Question 5 of 10

Toy tools lie in a loose heap. Your child loses track of which ones they have counted. What could you suggest?
  1. Count louder while leaving the heap alone.
  2. Recite the number words, then count again.
  3. Move each counted tool onto an empty mat.
  4. Push the heap closer and skip pointing.
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Answer: C
Moving each tool onto the mat separates counted tools from those still waiting. Louder words leave the tracking problem unchanged, so a tool could still be missed or counted twice.

Question 6 of 10

After you finish tapping, your child cannot remember how many taps there were. What could help on the next turn?
  1. Raise a finger after all the taps.
  2. Raise one finger for each tap.
  3. Count fingers before tapping starts.
  4. Open both hands at the first tap.
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Answer: B
One raised finger per tap saves the sounds as a visible group. Raising a finger only after the sounds finish records no matching count, so the child still has to remember the taps.

Question 7 of 10

Your child guesses "seven" before counting a group. A careful count gives "eight." What should you say?
  1. "Your guess was close; we counted eight."
  2. "Change the count to seven to match."
  3. "A guess has to be exactly right."
  4. "Count first next time, then guess."
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Answer: A
The count finds the exact amount, and seven was a close estimate of eight. Requiring an exact guess mixes up estimating with counting each object.

Question 8 of 10

You ask for five toy logs. Your child moves one log per word but keeps going through the entire pile. What needs practice?
  1. Giving one word to each log.
  2. Saying the numbers in order.
  3. Counting a group after it is made.
  4. Stopping at the requested number.
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Answer: D
The moves already match the words, but the child goes past the requested five. More touch-counting alone misses the stopping step; repeat the request before trying the turn again.

Question 9 of 10

Your child counts nine toy leaves. You slide those same leaves into a wider ring. How many leaves are there now?
  1. Nine leaves.
  2. Eight leaves.
  3. Ten leaves.
  4. Eighteen leaves.
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Answer: A
The same nine leaves are still present after the move. A wider ring fills more space, but spacing does not create an extra leaf to make ten.

Question 10 of 10

Your child counts five toys in a row correctly. In a heap, they say "one, two, three, four, five, six" and you see one repeat touch. What is a useful next activity, and why?
  1. Recite the words to fix their order.
  2. Model the last word to name the total.
  3. Move counted toys aside to keep track.
  4. Practice stopping at a requested number.
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Answer: C
The row count and spoken words are correct; the heap introduces a repeat touch. Moving each counted toy aside addresses that visible slip. Repeating the number words would practice something the child already did correctly.
Set 2: Make amounts and check them10 Practice Questions

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Question 1 of 10

You ask your child to start at "nine" and count backward. What comes next?
  1. Ten.
  2. Eight.
  3. Seven.
  4. One.
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Question 2 of 10

After an accurate count of seven toy hats, you count the same hats starting with a different one. Each hat gets one turn. What total should you get?
  1. Six hats.
  2. Eight hats.
  3. Fourteen hats.
  4. Seven hats.
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Question 3 of 10

A basket holds four toy oranges and three toy pears. Your child answers "four" to "How many pieces of toy fruit?" What did they leave out?
  1. The three pears.
  2. One of the oranges.
  3. All seven pieces.
  4. The basket itself.
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Question 4 of 10

Your child wants to count every toy before giving an estimate. How could you change the game?
  1. Keep the toys visible until counting ends.
  2. Tell the exact total before showing them.
  3. Give a quick look, then cover the toys.
  4. Ask for the same estimate after counting.
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Question 5 of 10

You ask for eight ribbons. Your child has counted out eight and there are more in the basket. What should happen now?
  1. Stop taking ribbons.
  2. Take one more ribbon.
  3. Empty the whole basket.
  4. Start a second group.
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Question 6 of 10

Your child gives each of six toy chairs one cushion. There are no extra cushions. How many cushions are in the matching group?
  1. Five cushions.
  2. Seven cushions.
  3. Twelve cushions.
  4. Six cushions.
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Question 7 of 10

You count ten toy stars, put one in a drawer, and cover the rest with a cloth. What changed the number in the covered group?
  1. Laying the cloth over the stars.
  2. Putting one star in the drawer.
  3. Hiding the stars from your view.
  4. Saying the total before the move.
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Question 8 of 10

Your child enjoys a brief counting job but grows restless when you add more turns. How could you keep practice useful?
  1. Finish every planned turn before stopping.
  2. Add more toys to hold their attention.
  3. Stop and try another short turn later.
  4. Repeat the same question until it is right.
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Question 9 of 10

A row of five large toy turtles is as long as a row of seven small toy frogs. Your child says the numbers match. How can you check that claim?
  1. Compare row lengths again; both rows match.
  2. Count the turtles; their size makes seven animals.
  3. Spread the turtles out; that makes two more.
  4. Pair one frog with each turtle; two frogs remain.
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Question 10 of 10

Your child counts six dolls accurately and says "six altogether." Asked to bring six blankets, they pause and ask, "How many did you want?" What should you help with first?
  1. Using the final word as the total.
  2. Remembering the requested number.
  3. Giving each doll one number word.
  4. Keeping objects in their original row.
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Set 3: Follow a count through a change10 Practice Questions

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Question 1 of 10

Your child counts along eight toy wagons. At "sev-en," they move from one wagon to the next halfway through the word. What should you model?
  1. Give a wagon to each spoken beat.
  2. Skip "seven" so every word has one spoken beat.
  3. Keep one touch per beat and speed up the words.
  4. Keep one whole word with each wagon.
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Question 2 of 10

A tray has two rows of three toy pies. Your child counts the top row, then starts the bottom row at "one." How should the bottom row be counted to find the whole tray total?
  1. "Four, five, six."
  2. "One, two, three."
  3. "Three, four, five."
  4. "Five, six, seven."
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Question 3 of 10

Your child watches you jump. What should get one number word?
  1. Each lift or landing.
  2. Each complete jump.
  3. Each foot as it lands.
  4. Each beat of a word.
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Question 4 of 10

You ask for nine toy eggs. The box contains seven, and your child moves them all onto a tray. They say "eight, nine" while touching two eggs again. How many eggs are on the tray, and is the request filled?
  1. Nine eggs; the request is filled.
  2. Eight eggs; the request is not filled.
  3. Seven eggs; the request is not filled.
  4. Seven eggs; the request is filled.
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Question 5 of 10

You count four large toy whales and six small toy fish. The whales take up more room. Which group has more animals?
  1. The four whales.
  2. Both groups match.
  3. The six fish.
  4. The wider-looking group.
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Question 6 of 10

A pretend bakery has two whole toy cakes. Your child separates each cake into two pieces, then spreads the pieces out. How many pieces are there, and which change made that number?
  1. Four pieces; separating the cakes did.
  2. Four pieces; spreading the pieces did.
  3. Two pieces; separating the cakes did.
  4. Two pieces; spreading the pieces did.
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Question 7 of 10

You want a cleanup game that helps your child track a scattered group. What counting job would fit?
  1. Say the number words while you do cleanup.
  2. Guess the total after the toys are hidden.
  3. Count down from ten while your child tidies.
  4. Count toy cars as they go into the garage.
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Question 8 of 10

Your child guesses six toy flowers, then counts eight accurately. They want to spread the flowers out and count again until the answer is six. How should you respond?
  1. Keep six as the total and space the flowers evenly.
  2. Keep eight as the total and discuss the close guess.
  3. Keep both totals because the layout will change.
  4. Keep counting because every guess must be exact.
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Question 9 of 10

Your child counts eight toy trains accurately. Immediately afterward, they point to the last train and say, "Only that one is eight." What could you say and show?
  1. Count the row again, then label only the last train.
  2. Repeat the words, then ask them to repeat the list.
  3. Give each train a number name, without naming the group.
  4. Sweep around all the trains: "Eight trains altogether."
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Question 10 of 10

You ask for four toy sandwiches. Your child remembers "four," counts out four correctly, then adds a fifth "to use them all." What should the next turn focus on?
  1. Leaving the supply when the request is filled.
  2. Learning the number words from one to four.
  3. Remembering which number you asked for.
  4. Giving the sandwiches one word apiece.
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Set 4: Choose help for a new counting job10 Practice Questions

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Question 1 of 10

Your child says "five, six, eight, nine, ten." What word is missing?
  1. Four.
  2. Seven.
  3. Nine.
  4. Ten.
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Question 2 of 10

Your child raises a finger for every drum tap. When the taps stop, seven fingers are raised. They count six by missing a finger. What is a useful next step?
  1. Repeat the taps without using fingers.
  2. Decide the drum made six taps.
  3. Recount the raised fingers carefully.
  4. Add a finger to make the total eight.
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Question 3 of 10

Your child counts nine toy passengers at a station. At the distant bus, they set out eight seats. What should you do to check and finish the match?
  1. Pair passengers with seats and bring one more seat.
  2. Spread the eight seats to fill a longer row.
  3. Pair passengers with seats and remove one seat.
  4. Count the seats again and keep eight for nine people.
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Question 4 of 10

You count seven toy gems into a bag and shake it. None enter or leave. How many are in the bag afterward?
  1. Six gems.
  2. Eight gems.
  3. Fourteen gems.
  4. Seven gems.
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Question 5 of 10

Your child counts three shells accurately alone today, after needing help yesterday. How could you check whether they can use the skill on their own?
  1. Call it secure because today was correct.
  2. Try another small group on a different day.
  3. Repeat the same group with your help now.
  4. Ask for a much bigger group straight away.
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Question 6 of 10

Your child counts scattered toy birds as eight and then as nine. You do not see what went wrong. How can you help find the total?
  1. Keep nine because it was the latest answer.
  2. Keep eight because it was the first answer.
  3. Ask for a guess between the two answers.
  4. Line them up and watch a slow one-for-one count.
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Question 7 of 10

You ask for six toy tickets. Your child grabs a handful; checking it gives seven. What should happen before handing over the tickets?
  1. Put one back and check the finished group.
  2. Keep seven because the handful is counted.
  3. Take one more and check the finished group.
  4. Spread seven out and hand over the group.
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Question 8 of 10

You make matching groups of ten toy stones. Your child spreads one group, then puts that same group into a bucket. No stones join or leave. How do the two groups compare now?
  1. The spread group now has more.
  2. The group in the bucket has fewer.
  3. They still have the same number.
  4. Both groups now have twenty.
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Question 9 of 10

Your child counts out three toy bowls well but struggles to give each bowl one spoon. What small job would best fit the next snack-time game?
  1. Count out three bowls again before every snack.
  2. Say the words to ten without using the bowls.
  3. Put one spoon beside each bowl and check for leftovers.
  4. Spread the bowls out to make a longer row.
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Question 10 of 10

A page shows nine apples in a ring. Your child gets ten after counting the starting apple again. The page cannot be marked. What could help without changing the picture?
  1. Move the finger away and start at a different apple.
  2. Keep a finger beside the start and stop before returning.
  3. Count the ring twice and use the second final word.
  4. Cover the start before giving it any number word.
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Stuck on your own question? Homework Help

Key Terms

41 Key Terms, each with its definition

A

About
About means close to an amount, without claiming it is the exact number.
Ask, "About how many blocks do you think are in the tray?"
Abstraction principle
The abstraction principle means that objects, sounds, movements, and events can all be counted.
Counting claps as well as toys puts the abstraction principle into play.
Adding objects
Adding objects puts more things into a group and makes its number bigger.
Adding objects to the toy garage means more cars are there to count.
Altogether
Altogether means considering all the things in the chosen group as one whole group.
Ask, "How many crayons are there altogether?" after a careful count.
Array
An array is an arrangement of objects in neat rows and columns.
Count across each row of the toy-cake array, keeping the words going.

B

Backward counting
Backward counting says the number words in reverse order, toward smaller numbers.
Use backward counting from "ten" to "one" for a pretend rocket launch.

C

Cardinality
Cardinality means that the last word of an accurate count names how many are in the whole group.
Your child uses cardinality when a count ending on "six" answers "How many?"
Checking a count
Checking a count means counting carefully again to see whether the total holds.
Lining up the toys gives a clear path for checking a count from a heap.
Circle
A circle is a ring-shaped arrangement with no clear beginning or end for the count.
Mark one animal in the circle so your child can remember the start.
Column
A column is a line running up and down in an arrangement of rows and columns.
In a toy tray of cakes set in rows and columns, each column has a cake above another cake.
Conservation of number
Conservation of number means that rearranging the same objects keeps their number when none join or leave.
Spreading counted toys into a wider row can show conservation of number.
Counted group
A counted group holds the objects that have already had their turn during a count.
Keep the counted group in the box and leave waiting toys beside it.
Counting out
Counting out makes a group of the requested size by moving objects from a larger supply.
Counting out spoons gives your child a reason to remember and stop.
Counting path
A counting path is a route that helps your child visit each object once.
Choose a counting path from top to bottom across the pictures.

D

Double counting
Double counting gives the same object more than one turn, making the count too big.
Putting finished toys in a box helps your child avoid double counting.

E

Estimate
An estimate is a sensible guess of an amount, made without counting every object.
Your child makes an estimate after a quick look at a tray of toys.
Exact number
An exact number tells precisely how many things there are, without an approximate guess.
Count the toys carefully to find the exact number after estimating.

F

Forward counting
Forward counting says the number words in their usual order, from smaller numbers toward bigger ones.
Try forward counting from "five" to "ten" while your child joins in.

H

Hidden object
A hidden object is out of sight but still belongs to the group if it has not been removed.
Each hidden object under the cloth still counts toward the group total.

L

Leftover
A leftover is an object without a partner after objects from two groups have been paired.
A leftover cup after pairing cups with plates shows that the cup and plate groups do not yet match.

M

Matching groups
Matching groups have the same number of objects, even when the objects look different.
Five beds and five blankets for toy animals are matching groups.
Mixed group
A mixed group contains different kinds of things that can all belong to one count.
Ask for all the toys in a mixed group of cars, animals, and blocks.
Movement count
A movement count gives each complete action, such as one jump, one counting turn.
Choose the landing of each jump as the moment for the movement count.

N

Number word
A number word is a spoken name for a number, such as "six" or "ten."
Say one number word as your child raises each finger.

O

One-to-one correspondence
One-to-one correspondence matches every counted object with exactly one number word.
Moving one toy per word helps your child keep one-to-one correspondence.
Order-irrelevance principle
The order-irrelevance principle means that visiting each object once in a different order keeps the total.
Counting a row from either end shows the order-irrelevance principle.

P

Pairing
Pairing places one object with one partner in another group to check whether their numbers match.
Pairing one cup with each plate shows whether every plate has a cup.
Partner
A partner is the one object matched to another object when two groups are paired.
Give each toy plate one cup as its partner, then check for extras.
Piece
A piece is a separate part of something; pieces can be counted after a whole object is broken up.
Count each piece after breaking one cracker into two separate parts.

R

Rearrangement
A rearrangement moves the same objects into different positions without adding or removing them.
Laying a tower of blocks flat is a rearrangement of those blocks.
Row
A row is a line of objects that your child can count from one end to the other.
Park the toy cars in a row and let your child follow the line.

S

Scattered group
A scattered group has objects spread in different places without neat rows or a ready-made path.
Move each toy in the scattered group onto a mat as your child counts.
Sound count
A sound count finds how many sounds happen by giving each sound one counting turn.
One raised finger per drum tap keeps a record of the sound count.
Spacing
Spacing is the room between objects; changing it can make a row look longer or shorter.
Wider spacing stretches the row while the same toys stay in it.
Stable-order principle
The stable-order principle means that the number words keep the same order each time we count.
The stable-order principle puts "eight" after "seven" in a forward count.
Stopping point
A stopping point is where the requested number is reached and no more objects are needed.
For "Give me six," the word "six" is the counting-out stopping point.
Supply
A supply is the larger group from which your child takes the requested number of objects.
After your child loads the requested blocks into a truck, leave the unused blocks in the supply.

T

Taking away objects
Taking away objects removes things from a group and makes its number smaller.
Taking away objects from the mat leaves fewer toys on the mat.
Target number
A target number is the requested amount that tells your child when to stop counting out.
Say the target number together before loading blocks into a truck.
Total
A total tells how many things are in the whole group being counted.
After counting the toy boats, ask your child to tell the teddy the total.
Touch counting
Touch counting gives each object one touch while saying its number word.
Try touch counting along a row of toys, with a word for each tap.

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