Kindergarten · Counting & Cardinality · MAT-K-COUNT-002
Count Objects to 5
Count a group of up to five objects by assigning one number word to each object.
Learning objectives
What you should be able to do
- Count a group of up to five objects by assigning one number word to each object.
- State that the final number word tells how many objects are in the whole group.
- Show that rearranging a group does not change its quantity.
Prerequisite check
Make sure the foundation is ready.
Checks stable number-word sequence.
Checks ability to track individual objects.
Learn
Build the idea from meaning, not memorization.
Give every object one number word
Accurate object counting uses one-to-one correspondence. Touch, point to, or move one object as you say each number word. If an object gets two number words, it has been counted twice. If an object gets no number word, it has been skipped.
The last number tells how many
Suppose you touch four blocks and say 1, 2, 3, 4. The last word, four, tells the size of the whole group. You do not need to count again to answer 'How many?' This idea is called cardinality.
The arrangement can change while the amount stays the same
Three counters in a row and the same three counters spread apart are still three counters. The spaces between objects do not create new objects. This teaches conservation of number.
Use an organized counting path
For scattered objects, choose a plan: left to right, top to bottom, or move each object into a counted area. Organized counting prevents skips and double-counts.
Interactive math lab
Change it. See what stays true.
Ten-Frame Lab
Fill the frame from left to right and connect the visible amount to the numeral.
5 filled; 5 empty; 10 spaces altogether.
- touch to count
- drag to rearrange
- find double count error
- find skipped object
Worked examples
Twenty different ways to see the concept work.
Count: 🍎
1There is one object, so the final count is 1.
Count: 🍎 🍎
1, 2 → 2 applesEach apple receives one number word.
Count: ⚽ ⚽ ⚽
1, 2, 3 → 3 ballsThe last number said is 3.
Count four blocks in a row.
1, 2, 3, 4Count each block once from left to right.
Count five stars.
1, 2, 3, 4, 5Five stars receive five number words.
Three objects are spread far apart. How many?
1, 2, 3 → 3Spacing does not change quantity.
Four objects are moved into a circle. How many now?
4Moving the same objects does not add or remove any.
A child counts one ball twice and says 1, 2, 3, 4 for only three balls. Is that correct?
No.Each object should receive exactly one number word.
A child skips one of four cubes and says 1, 2, 3. What went wrong?
One cube was not counted.Every object must be included.
After counting 1, 2, 3, 4, what answers 'How many?'
4Cardinality says the final count gives the total.
Count two red counters and one blue counter.
1, 2, 3 → 3 countersColor does not prevent all objects from belonging to the counted set.
Count one large block and two small blocks.
1, 2, 3 → 3 blocksObject size does not change how many objects there are.
Count five objects from right to left.
1, 2, 3, 4, 5 → 5Direction can change while the total remains the same if each object is counted once.
Count a group, then rearrange it. First count is 4. What should the second count be if no objects were added or removed?
4Rearrangement preserves quantity.
There are zero objects on the mat. How many?
0Zero describes a group with no objects.
Two objects are visible and one is hidden behind a card. If all three belong to the set, how many are there?
3The set includes all three objects even if one is temporarily hidden.
You counted five cubes. A cube is removed. Should the group still be five?
No; it is now 4.Removing an object changes the quantity.
You counted three cubes. One cube is added. What is the new count?
4Adding one object makes the quantity one more.
Which strategy is safer for scattered objects: random pointing or moving counted objects to one side?
Move counted objects to one side.A clear counted/un-counted boundary reduces double-counting.
A group has five mixed objects: book, ball, coin, pencil, block. How many objects?
5Different object types can still be counted as members of one chosen group.
Practice
Guided practice with hints
01Count three counters by touching each one.
Hint: Say one number word per touch.
Answer: 3
02You count 1, 2, 3, 4. How many objects?
Hint: Use the last number you said.
Answer: 4
03Four blocks are spread farther apart. Did the number of blocks change?
Hint: Were any blocks added or removed?
Answer: No; there are still 4.
04Find the error: a child points to the first star twice.
Hint: How many number words should each star receive?
Answer: Each star should be counted exactly once.
05Count five scattered objects using an organized path.
Hint: Try left to right or move each counted object.
Answer: 5
06A group has no objects. What number describes it?
Hint: Think about the number that means none.
Answer: 0
Practice
Independent practice
01Count a group of 2 objects.
Answer: 2
02Count a group of 5 objects.
Answer: 5
03If the last number said is 3, how many were counted?
Answer: 3
04Does spreading four objects farther apart make more objects?
Answer: No
05What happens if you count one object twice?
Answer: The count becomes too large.
06What happens if you skip an object?
Answer: The count becomes too small.
07If a group of 3 gains one object, how many now?
Answer: 4
08If a group of 5 loses one object, how many now?
Answer: 4
Common mistakes
Learn to catch the error, not just the answer.
Slow the movement so one touch and one spoken number happen together.
Recount the same objects and notice that spacing does not change the total.
Move counted objects, mark a starting point, or follow a consistent path.
Applications & challenge
Use the idea beyond a single exercise.
Applications
- Count up to five snacks before placing them on a plate.
- Count up to five toy cars and then rearrange them to test whether the amount stays the same.
Challenge problems
Three objects are in front of you. Without adding any, arrange them so they look spread out. How many now?
3
A student says there are 5 objects but only touched four objects once each. What should you check?
Check whether an object was counted twice or whether the spoken sequence and pointing were not synchronized.
Can five different kinds of objects still make one group of five?
Yes, if the counting rule says all five objects belong to the set.
Explain why the last number word gives the total.
Because each object receives one number word in sequence; the position of the final word matches the number of objects counted.
Flashcards
Retrieve it from memory.
Flashcards
Card 1 of 6
Game mode
Count & Catch
Catch only the requested number of moving objects and place them into a five-frame.
Practice
Mastery check
01Count a displayed group of five objects accurately.
Answer: 5
02Explain what each object should receive while counting.
Answer: Exactly one number word.
03After saying 1, 2, 3, 4, what is the total?
Answer: 4
04Four objects are rearranged. How many remain?
Answer: 4
05What is wrong with counting one object twice?
Answer: It makes the reported total larger than the actual quantity.
06What is wrong with skipping an object?
Answer: It makes the reported total smaller than the actual quantity.
07How can you keep track of scattered objects?
Answer: Use an organized path or move counted objects to a separate area.
08What quantity does zero represent?
Answer: No objects.
Terminology
Words to know
- one-to-one correspondence
- Matching one counting word to one object.
- cardinality
- The idea that the final counting word tells how many objects are in the set.
- quantity
- How many objects are in a group.
- zero
- The number that represents none.
Continue learning
Connected concepts
Curriculum references
Standards and instructional references
California Common Core State Standards for Mathematics — K.CC.B
One-to-one correspondence and cardinality progression.