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What does a student learn in ?

This is the year numbers stop being a song and start meaning something real. Students learn to count to 100, match a written number to a pile of objects, and add or take away small groups using fingers, drawings, or simple equations. Along the way they sort objects, compare which is longer or heavier, and name shapes like circles, squares, and cubes. By spring, they can count out 20 objects and add or subtract within 5 without guessing.

  • Counting to 100
  • Adding and subtracting
  • Number writing
  • Comparing groups
  • Shapes
  • Sorting objects
Source: Washington Washington K-12 Learning Standards
Year at a glance
How the year usually goes. Every school and district set their own curriculum, so treat this as a guide, not official pacing.
  1. 1

    Counting and naming shapes

    Students count groups of objects out loud and start writing numbers up to 10. They also point out circles, squares, and triangles around the classroom and at home.

  2. 2

    How many and which is more

    Students answer how many questions by counting carefully, even when objects are scattered. They compare two small groups to decide which has more, less, or the same.

  3. 3

    Adding and taking away to 5

    Students act out simple stories about putting things together and taking them apart. They use fingers, drawings, and small objects to add and subtract within 5.

  4. 4

    Ways to make 10

    Students break numbers up to 10 into pairs in different ways, like 7 is 5 and 2 or 4 and 3. They figure out what to add to a number to reach 10.

  5. 5

    Teen numbers as ten and more

    Students count and write numbers from 11 to 20. They see a teen number as one group of ten with some extra ones, using cubes, drawings, and equations like 14 equals 10 plus 4.

  6. 6

    Measuring, sorting, and patterns

    Students compare objects by length and weight and sort buttons, blocks, or toys into groups. They ask questions, collect simple data, and talk about what they notice.

Mastery Learning Standards
The required skills a student should display by the end of Kindergarten.
Counting and Cardinality
  • Count to 100 by ones and by tens

    K.CC.A.1

    Students count out loud from 1 to 100, one number at a time, and also count by tens: 10, 20, 30, all the way to 100.

  • Count forward beginning from a given number within the known sequence

    K.CC.A.2

    Students practice counting forward starting from any number, not just 1. If asked to start at 6, they count 6, 7, 8, 9 without going back to the beginning.

  • Write numbers from 0 to 20

    K.CC.A.3

    Students write the numbers 0 through 20 and use them to show how many things are in a group. Zero means the group is empty.

  • Understand the relationship between numbers and quantities

    K.CC.B.4

    Counting a group of objects means the last number said tells how many there are total. Students practice this by counting things they can touch, like blocks or fingers, until counting and quantity match up in their minds.

  • Count to answer “how many?” questions about as many as 20 things arranged in a…

    K.CC.B.5

    Counting a group of up to 20 objects and saying how many there are. Students also do the reverse: hear a number and count out exactly that many blocks, crayons, or other objects.

  • Identify whether the number of objects in one group is greater than, less than

    K.CC.C.6

    Students look at two groups of objects and decide which group has more, which has fewer, or whether both groups have the same amount.

  • Compare two numbers between 1 and 10 presented as written numerals

    K.CC.C.7

    Students look at two written numbers (like 4 and 7) and decide which is bigger, which is smaller, or if they match. No objects to count, just the numerals on the page.

Operations and Algebraic Thinking
  • Represent addition and subtraction with objects, fingers, mental images…

    K.OA.A.1

    Students show adding and taking away using fingers, drawings, or objects. They might hold up five fingers, sketch dots, or clap to show how numbers combine or separate.

  • Flexibly, efficiently

    K.OA.A.2

    Students hear a short story problem ("3 birds flew away, 5 are left. How many were there?") and figure out the answer using whatever method makes sense to them. Numbers stay at 10 or below.

  • Decompose numbers less than or equal to 10 into pairs in more than one way…

    K.OA.A.3

    Students find all the different ways to split a number into two groups. For example, 5 can be 4 and 1, or 2 and 3. They show their thinking with a picture or a simple number sentence.

  • For any number from 1 to 9, find the number that makes 10 when added to the…

    K.OA.A.4

    Students figure out what number pairs with a given number to make 10. If you have 7, you need 3 more. They show their thinking with a drawing or a simple equation.

  • Flexibly, efficiently

    K.OA.A.5

    Students add and subtract small numbers up to 5 quickly and correctly. Think of combining two groups of buttons or taking some away.

Numbers and Operations in Base Ten
  • Compose and decompose numbers from 11 to 19 into ten ones and some further…

    K.NBT.A.1

    Students learn that numbers like 13 or 17 are built from a group of ten plus a few extra ones. They practice breaking those numbers apart and putting them back together using blocks, drawings, or simple equations like 15 = 10 + 5.

Measurement and Data
  • Describe measurable attributes of objects, such as length or weight

    K.MD.A.1

    Students pick up an object and describe what they notice about it: how long it is, how heavy it feels, how tall it stands. One object can have more than one of these attributes at the same time.

  • Directly compare two objects with a measurable attribute in common, to see…

    K.MD.A.2

    Two objects sit side by side, and students say which one is taller, heavier, or longer. They also say how the two are different, like "this pencil is shorter than that crayon."

  • Classify objects into given categories

    K.MD.B.3

    Students sort everyday objects into groups (by color, shape, or size), count how many are in each group, and compare the groups to find which has more or fewer.

Geometry
  • Describe objects in the environment using names of shapes and describe the…

    K.G.A.1

    Students look at everyday objects around them and name their shapes, then describe where those objects sit using words like above, below, beside, and next to.

  • Correctly name shapes regardless of their orientations or overall size

    K.G.A.2

    Students learn that a triangle is still a triangle whether it's tiny, huge, or turned sideways. The name of a shape stays the same no matter how it's flipped or how big it is.

  • Identify shapes as two-dimensional

    K.G.A.3

    Students sort shapes into two groups: flat shapes like a square drawn on paper, and solid shapes like a soup can or a ball you can hold.

  • Analyze and compare two- and three-dimensional shapes, in different sizes and…

    K.G.B.4

    Students look at shapes like squares, triangles, and boxes and describe what makes them alike or different. They count sides and corners and notice things like whether the sides are all the same length.

  • Model shapes in the world by building shapes from components

    K.G.B.5

    Students build and draw shapes using everyday materials like sticks, clay, or pencil and paper. The focus is on making shapes by hand, not just recognizing them.

  • Use simple shapes to compose a variety of larger shapes

    K.G.B.6

    Students put together small shapes, like triangles and squares, to build a larger shape. A triangle and a square pushed side by side can make a house shape, for example.

Data Science
  • Generate questions to investigate situations within the classroom

    K.DS.1

    Students come up with simple questions that can be answered by looking around the classroom, like "What is the most popular color?" or "How many students have a pet?"

  • Collect or consider data through organizing objects or drawing pictures to…

    K.DS.2

    Students sort real objects or draw pictures to record what they notice and share it with others.

  • Analyze data sets by noticing and describing patterns in data-rich situations

    K.DS.3

    Students look at a collection of pictures, objects, or tally marks and describe what they notice: which group has more, which has less, and what pattern they see.

  • Interpret and communicate results through structured answers with teacher…

    K.DS.4

    With a teacher's help, students look at data they collected and explain what it shows, using full sentences or organized responses rather than a quick one-word answer.

Common Questions
  • What math should my child know by the end of the year?

    Students count to 100, write numbers up to 20, and add and subtract small numbers up to 10. They also name common shapes, compare which group has more, and sort objects into groups. Counting real things is the heart of the year.

  • How can I help with counting at home?

    Count everything: stairs, grapes, socks, steps to the car. Ask how many before and after one more is added or taken away. Five minutes a day matters more than a worksheet, and it builds the number sense the rest of the year rests on.

  • How should I sequence the year?

    Start with counting, matching numbers to groups, and writing numbers to 10. Move into addition and subtraction within 5, then within 10, while weaving in shapes and sorting. Save teen numbers as ten and some more for the back half of the year.

  • My child counts to 30 but skips numbers. Is that a problem?

    It is normal early in the year. Practice the tricky stretch by counting together, then letting students take over. The teens and the jump from 29 to 30 trip up most students, so repeat those spots often.

  • Which skills usually need the most reteaching?

    Teen numbers as ten and some more, counting on from a number other than one, and writing 6, 7, and 9 without reversals. Plan to revisit these in short bursts across the year rather than teaching them once and moving on.

  • Does my child need to memorize math facts this year?

    Not in a flashcard way. Students should add and subtract within 5 quickly and comfortably by spring, and work fluently within 10. Games with dice, dominoes, and fingers build this faster than drills.

  • What does mastery of teen numbers look like?

    A student can show 14 as one group of ten and four more using cubes, fingers, or a drawing, and write 14 = 10 + 4. If they only see 14 as fourteen ones, they are not ready for first-grade place value yet.

  • How do I know my child is ready for first grade math?

    By June, students should count past 50 without help, write numbers to 20, add and subtract small numbers, and name shapes like triangles and rectangles. They should also explain their thinking out loud, even in simple words.

  • How much time should shapes and measurement get?

    Less than counting and operations, but steady. A short shape hunt, a sorting task, or a side-by-side comparison once or twice a week keeps geometry and measurement alive without crowding out number work.