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Kindergarten math: what your child learns this year

Kindergarten math is mostly about counting and what numbers mean. Your child learns to count to 100, to count objects and say how many, to compare numbers and to add and subtract within 10. Your child also learns that the numbers 11 to 19 are ten ones and some more ones. Shapes, measuring and sorting fill the rest of the year. A child who ends kindergarten sure of counting and of adding and subtracting within 10 starts 1st grade ready.

The one-minute check

Before the checklist, try this

Put 5 spoons in a row on the table. Ask your child to count them, touching each one. Then ask, "How many spoons are there?"

If they get it

Your child says one number for each spoon, then answers 5 without counting again. That means counting already tells your child how many, and kindergarten math has something to build on.

If they do not

Your child touches a spoon twice or skips one, says the numbers faster than the touches, or starts again from 1 when asked how many. That is the gap to work on first.

Most of kindergarten math starts with counting a group correctly: comparing groups, adding, subtracting and the teen numbers. A child who can say the numbers in order but cannot yet count objects this way finds each of those topics harder, even when the new idea itself makes sense.

The kindergarten skills checklist

Read each line as "my child can…". Confident checks are strengths; hesitations are where to look closer.

Not every topic weighs the same. Counting, comparing numbers, adding and subtracting within 10 and the teen numbers are where most of kindergarten goes, and 1st grade is built on them. Shapes, measuring and sorting are real topics, but a smaller share of the year.

Where most of the year goes

Counting and writing numbers

Saying the numbers in order and writing them. By the end of the year your child counts to 100 by ones and by tens, and writes the numbers from 0 to 20.

  • Counts out loud to 100 by ones
  • Counts by tens: 10, 20, 30 and on to 100
  • Starts counting from a number such as 7, instead of going back to 1 each time
  • Writes the numbers from 0 to 20
  • Writes the number that tells how many objects there are, with 0 for none

Comes from last year: Kindergarten is the first Common Core grade, so nothing is formally expected before it. A child who already says 1 to 10 in order, from songs, stairs or games, has a head start on counting to 100.

K.CC.1 · K.CC.2 · K.CC.3

Counting objects: how many?

The first big idea of kindergarten: the last number you say when you count tells how many there are. Your child counts objects in a line, in rows, in a circle or scattered on a table.

  • Says one number for each object and touches each object once
  • Knows the last number said tells how many, without counting again
  • Knows the count stays the same when the objects are moved around
  • Counts up to 20 objects in a line, in rows or in a circle, and up to 10 scattered ones
  • Counts out a given number of objects, such as "Give me 7 spoons"

Comes from last year: Saying the numbers in order has to come first. A child who skips a number or says one twice gets a different total each time, however carefully the objects are touched.

K.CC.4 · K.CC.5

Comparing numbers

Which group has more, which has fewer, or are they the same? Your child compares groups of objects, then compares two written numbers up to 10.

  • Tells whether one group has more, fewer or the same number of objects as another
  • Compares two groups by matching objects one to one or by counting both
  • Compares two written numbers from 1 to 10, such as 6 and 9

Comes from last year: Counting a group and knowing that the last number tells how many. A child who still counts one object twice cannot compare two groups fairly.

K.CC.6 · K.CC.7

Adding and subtracting within 10

Addition as putting together and subtraction as taking away, shown with fingers, objects, drawings and short stories. The numbers stay at 10 or below.

  • Shows adding and subtracting with fingers, objects, drawings or by acting out a story
  • Solves addition and subtraction story problems within 10
  • Splits a number up to 10 into two parts in more than one way, such as 5 = 2 + 3 and 5 = 4 + 1
  • Finds the number that makes 10 with any number from 1 to 9
  • Adds and subtracts within 5 quickly and accurately

Comes from last year: Counting objects with one number for each object. Early adding is counting: a child puts 3 blocks with 2 blocks and counts all 5. A child who miscounts small groups gets wrong answers even when the idea of adding is clear.

K.OA.1 · K.OA.2 · K.OA.3 · K.OA.4 · K.OA.5

Teen numbers

The numbers 11 to 19 are ten ones and some more ones. This is the first step toward place value (the idea that where a digit sits tells what it is worth), which 1st grade builds on.

  • Shows a teen number as ten ones and some more ones, with objects or a drawing
  • Writes a teen number as an equation, such as 18 = 10 + 8
  • Explains that 14 is ten ones and four more ones

Comes from last year: Counting to 20 and counting 20 objects. Teen numbers are where saying the numbers and counting things have to meet: a child counts a full 10 and then keeps going.

K.NBT.1

Also covered, smaller share of the year

Shapes and position

Flat shapes (squares, circles, triangles, rectangles and hexagons) and solid shapes (cubes, cones, cylinders and spheres), named at any size and turned any way.

  • Names squares, circles, triangles, rectangles and hexagons at any size and turned any way
  • Tells flat shapes from solid ones, and names cubes, cones, cylinders and spheres
  • Uses position words: above, below, beside, in front of, behind and next to
  • Compares shapes in everyday words, such as how many sides and corners they have
  • Builds and draws shapes, and puts small shapes together to make a bigger one

Comes from last year: Nothing from an earlier grade. A child may already know circle and square by name, but only for the usual picture: a triangle that points up, a square that sits flat.

K.G.1 · K.G.2 · K.G.3 · K.G.4 · K.G.5 · K.G.6

Measuring and sorting

Describing and comparing objects by length or weight, then sorting objects into groups and counting each group.

  • Describes an object by what can be measured, such as its length and its weight
  • Puts two objects side by side and says which is longer, taller or heavier
  • Sorts objects into groups, counts each group and orders the groups by count

Comes from last year: Counting objects to 10, for the sorting. Measuring in kindergarten uses no ruler: a child compares two objects directly, so the words longer, shorter, heavier and lighter matter more than numbers.

K.MD.1 · K.MD.2 · K.MD.3

All 22 kindergarten math standards, in plain English

These are the Common Core standards for kindergarten math. Each link opens a page that explains the topic in simple words, with examples, the usual sticking points and four practice questions.

Counting and Cardinality

Geometry

Measurement and Data

Number and Operations in Base Ten

Operations and Algebraic Thinking

What schools teach in kindergarten math, at a glance

AreaWhat schools teachShare of the year
Counting and writing numbersSaying the numbers in order and writing them. By the end of the year your child counts to 100 by ones and by tens, and writes the numbers from 0 to 20.Major
Counting objects: how many?The first big idea of kindergarten: the last number you say when you count tells how many there are. Your child counts objects in a line, in rows, in a circle or scattered on a table.Major
Comparing numbersWhich group has more, which has fewer, or are they the same? Your child compares groups of objects, then compares two written numbers up to 10.Major
Adding and subtracting within 10Addition as putting together and subtraction as taking away, shown with fingers, objects, drawings and short stories. The numbers stay at 10 or below.Major
Teen numbersThe numbers 11 to 19 are ten ones and some more ones. This is the first step toward place value (the idea that where a digit sits tells what it is worth), which 1st grade builds on.Major
Shapes and positionFlat shapes (squares, circles, triangles, rectangles and hexagons) and solid shapes (cubes, cones, cylinders and spheres), named at any size and turned any way.Smaller
Measuring and sortingDescribing and comparing objects by length or weight, then sorting objects into groups and counting each group.Smaller

What kindergarten math actually looks like

Five real problems from our kindergarten bank. Work through them with your child, check each answer, and see the steps for any problem.

  1. Problem 1

    James tapped numbers on the hundred chart in order, counting by ones.
    1
    2
    3
    4
    5
    6
    7
    8
    9
    10
    11
    12
    13
    14
    15
    16
    17
    18
    19
    20
    What was the last number James tapped?
    A
    5
    B
    7
    C
    8
    D
    12
    Show the answer and how to get it

    The answer is 7 because 7 is the last shaded number on the chart.

    1. Look at James's hundred chart. The shaded boxes show the numbers James tapped, starting at 1.
    2. Find the last shaded box on the chart. That is the last number James tapped.
    3. The last shaded box is 7. So James's last number was 7.
  2. Problem 2

    Look at each picture. Tell if the two things are next to each other.
    Is the cup next to the plate?
    cup beside the plate
    A
    Next to
    B
    Not next to
    Is the owl next to the rabbit?
    owl above the rabbit
    A
    Next to
    B
    Not next to
    Show the answer and how to get it

    The cup is next to the plate. The owl is not next to the rabbit.

    1. Look at the cup and the plate. They are both on the counter, side-by-side at the same level. The cup is right beside the plate, so it is next to the plate. Tap 'Next to'.
    2. Look at the owl and the rabbit. The owl is high up in the air, above the rabbit. It is not beside the rabbit, so it is not next to the rabbit. Tap 'Not next to'.
  3. Problem 3

    Look at each picture. What is each picture showing?
    Length comparison (2 objects, length, clear-gap)
    What is this picture showing?
    A
    Length
    B
    Weight
    C
    How much it holds
    Length comparison (2 objects, weight, clear-gap)
    What is this picture showing?
    A
    Length
    B
    Weight
    C
    How much it holds
    Length comparison (2 objects, capacity, clear-gap)
    What is this picture showing?
    A
    Length
    B
    Weight
    C
    How much it holds
    Show the answer and how to get it

    Picture 1 (crayons) shows Length. Picture 2 (watermelons on a balance scale) shows Weight. Picture 3 (bottles) shows How much it holds.

    1. For each picture, think about what the picture is showing you — is it showing how long something is, how heavy something is, or how much something holds?
    2. Picture 1: The two crayons are lined up end to end so you can see which one is longer. This picture is showing Length.
    3. Picture 2: The two watermelons are on a balance scale so you can see which one is heavier. This picture is showing Weight.
    4. Picture 3: The two bottles have different amounts of liquid inside so you can see which bottle holds more. This picture is showing How much it holds.
  4. Problem 4

    Liam put counters on two ten-frames. The first ten-frame is full with 10 counters.
    How many counters are in the second ten-frame?
    A
    4
    B
    5
    C
    10
    D
    14
    Show the answer and how to get it

    The second ten-frame has 4 counters. The model shows 14 as 10 ones (in the first ten-frame) and 4 more ones (in the second ten-frame).

    1. Look at Liam's two ten-frames.
    2. The first ten-frame is full. It has 10 counters.
    3. Now count the counters in the second ten-frame: 1, 2, 3, 4.
    4. There are 4 counters in the second ten-frame.
  5. Problem 5

    Look at the pictures.

    8 fish are swimming in the tank.

    3 of them swim away.

    Which number sentence shows the story?
    A
    9−3=\displaystyle 9 - 3 = {}
    6\displaystyle 6
    B
    8+\displaystyle 8 + {}
    3=\displaystyle 3 = {}
    11\displaystyle 11
    C
    8−3=\displaystyle 8 - 3 = {}
    5\displaystyle 5
    D
    8−5=\displaystyle 8 - 5 = {}
    3\displaystyle 3
    Show the answer and how to get it

    The correct number sentence is 8−3=58 - 3 = 5. The story starts with 88 fish, 33 swim away, and 55 are left.

    1. Look at the pictures. The story shows 8 fish swimming in the tank, then 3 of them swim away.
    2. We start with 8 fish. 3 swim away. To find how many are left, we take away.
    3. The matching number sentence is:
    4. There are 55 fish left, so 8−3=58 - 3 = 5 shows the story.

Where kindergarten math usually goes wrong

These are not careless mistakes. Each one is a rule that worked perfectly well until this year, applied consistently to a place where it no longer holds, which is why the same wrong answer keeps coming back. Recognising the specific rule is far more useful than more practice.

Roughly when each part comes up

Schools vary, but most kindergarten classrooms move in about this order. Useful if you are trying to work out whether something is genuinely behind or simply has not been taught yet.

  1. September to NovemberCounting to 100, counting objects and writing numbers to 20
  2. October to NovemberNaming flat and solid shapes; position words such as above, below and next to
  3. December to JanuaryComparing groups and numbers; comparing length and weight; sorting objects and counting each group
  4. January to AprilAdding and subtracting within 10, number pairs that make 10 and quick facts within 5
  5. February to MarchComparing shapes, building them and putting small shapes together
  6. April to MayTeen numbers as ten ones and some more ones

What 1st grade assumes on day one

Next year does not re-teach these. It starts from them, which is why a gap left open over the summer tends to show up in October rather than in June.

Kindergarten math resources

Free kindergarten math quick check

Ten questions on the year’s main topics, about 10 to 15 minutes, with a worked solution for every one. Take it online or print it with the answer key.

Start the quick check →

Common questions

What do kindergartners learn in math?

Math for kindergarteners centers on counting. Children count to 100, count objects and say how many, write numbers to 20, compare numbers, add and subtract within 10 and learn that the teen numbers are ten ones and some more ones. Shapes, measuring and sorting fill the rest of the year.

What are the kindergarten Common Core math standards?

The Common Core has 22 kindergarten math standards in five areas: counting and cardinality (knowing that the last number counted tells how many); operations and algebraic thinking; number and operations in base ten; measurement and data; and geometry. Counting, adding and subtracting within 10 and the teen numbers carry the most weight. The standards set the goals, and each school picks its own kindergarten math curriculum (the books and lessons) to teach them.

How can I check if my child is on track in kindergarten math?

Start with the one-minute counting check on this page. For a broader read, try the free 10-question quick check. The Level Up assessment, about 30 to 40 questions on a computer or tablet, adapts to each answer and shows where your child stands. It is included in the free trial.