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What does a student learn in ?

This is the year numbers start to mean something. Students learn to count to 100, write the numbers 0 to 20, and figure out which group has more by lining things up and matching. Adding and taking away show up as small stories with fingers, blocks, or drawings. By spring, students can add and subtract within 5 without thinking hard, name a penny and a nickel, and point out circles and squares around the house.

  • Counting to 100
  • Writing numbers
  • Adding and subtracting
  • Comparing groups
  • Shapes
  • Coins
Source: Louisiana Louisiana Student 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 number names

    Students learn to count out loud to 100 and write numbers from 0 to 20. They practice pointing to objects one at a time and saying how many are in the group.

  2. 2

    Shapes and the world around us

    Students name shapes like circles, squares, triangles, and cubes, and describe where things are using words like above, below, and next to. They build shapes with sticks, clay, and drawings.

  3. 3

    Comparing and sorting

    Students compare two groups to see which has more, fewer, or the same. They sort objects into piles by color, size, or shape, and compare things by length and weight.

  4. 4

    Adding and taking away

    Students start putting groups together and taking some away. They solve small word problems with fingers, drawings, and objects, and learn quick answers for problems up to 5.

  5. 5

    Teen numbers and coins

    Students see that teen numbers like 14 are a group of ten plus some extra ones. They also learn to name pennies, nickels, dimes, and quarters and tell what each is worth.

Mastery Learning Standards
The required skills a student should display by the end of Kindergarten.
Counting and Cardinality
  • Know number names and the count sequence

    K.CC.A

    Students learn the names of numbers and how to say them in order. This is the foundation for all the counting work they do in kindergarten.

  • 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, then practice counting 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

    Starting from any number, students count forward without going back to 1 first. If asked to start at 6, they say 6, 7, 8, 9 and keep going.

  • Write numbers from 0 to 20

    K.CC.A.3

    Students write the numbers 0 through 20 and match each number to a group of objects. Zero means nothing is there, and that counts too.

  • Count to tell the number of objects

    K.CC.B

    Students count a group of objects to find out how many there are. They point to each object one at a time and give it a number, then say the total aloud.

  • 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 real things, like crayons or blocks, until the final count and the actual amount match up.

  • When counting objects in standard order, say the number names as they relate to…

    K.CC.B.4.a

    Counting means one number word for each object, nothing skipped, nothing counted twice. Students point to each item as they count it out loud.

  • Understand that the last number name said tells the number of objects counted

    K.CC.B.4.b

    The last number said when counting a group tells how many are in the group. It doesn't matter if the objects are spread out or stacked up, the count stays the same.

  • Understand that each successive number name refers to a quantity that is one…

    K.CC.B.4.c

    Counting up means each new number is exactly one more than the one before it. Students learn that 6 is one more than 5, and 7 is one more than 6.

  • Count to answer "How many?" questions

    K.CC.B.5

    Students count a group of objects and say how many there are. This works with up to 20 things arranged in a line, a scattered pile, or an array, and with up to 10 things when asked to count out a specific number.

  • Count objects up to 20, arranged in a line, a rectangular array

    K.CC.B.5.a

    Students count up to 20 objects laid out in a row, a grid, or a circle. The arrangement changes, but the counting stays the same.

  • Count objects up to 10 in a scattered configuration

    K.CC.B.5.b

    Students count a small group of objects (up to 10) that are spread out randomly, not lined up in a neat row. This builds the habit of keeping track even when things are jumbled.

  • When given a number from 1-20, count out that many objects

    K.CC.B.5.c

    Given a number up to 20, students find and count out that many objects, like blocks or coins. It's the flip side of counting a pile: starting with the number and building the group to match it.

  • Compare numbers

    K.CC.C

    Students look at two groups of objects and decide which has more, which has fewer, or whether both groups are equal.

  • 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 less, or whether they have the same amount. Counting or lining objects up side by side helps make the comparison.

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

    K.CC.C.7

    Students look at two written numbers, both between 1 and 10, and decide which is bigger, which is smaller, or whether they are the same.

Operations and Algebraic Thinking
  • Understand addition as putting together and adding to

    K.OA.A

    Addition means combining groups to find a total. Subtraction means removing or splitting a group to find what's left. Students work with small numbers to build both ideas using objects, fingers, and drawings.

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

    K.OA.A.1

    Students show adding and subtracting in different ways: using fingers, drawing pictures, acting out a story, or writing a number sentence like 2 + 1 = 3.

  • Solve addition and subtraction word problems

    K.OA.A.2

    Students solve simple story problems about adding or taking away, using objects or drawings to find the answer. All numbers stay within 10.

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

    K.OA.A.3

    Students learn that one number can be split apart in different ways. For example, 5 can be 4 and 1, or 2 and 3. They show each split with a drawing or a simple equation.

  • 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 show them 6, they find 4. They practice this with objects or drawings until the pairs feel automatic.

  • Fluently add and subtract within 5

    K.OA.A.5

    Students quickly and accurately add and subtract with numbers up to 5. By the end of kindergarten, answers like 2 + 3 or 4 minus 1 should come without counting on fingers.

Number and Operations in Base Ten
  • Work with numbers 11–19 to gain foundations for place value

    K.NBT.A

    Numbers 11 through 19 are each made of a ten and some leftover ones. Students learn to see 14, for example, as one group of ten plus four singles, which sets up how place value works in later grades.

  • Gain understanding of place value

    K.NBT.A.1

    Students learn that the numbers 11 through 19 are each made of one group of ten and some leftover ones. Counting 14 blocks, for example, means one full group of ten and four more.

  • Understand that the numbers 11–19 are composed of ten ones and one, two, three…

    K.NBT.A.1.a

    Numbers like 13 or 17 are built from one full group of ten plus some left over. Students learn to see any teen number as "ten and a little more" instead of just a count.

  • Compose and decompose numbers 11 to 19 using place value

    K.NBT.A.1.b

    Students break numbers like 13 or 17 into a group of ten and some leftovers. They build this with blocks or drawings to see how two-digit numbers are put together.

  • Record each composition or decomposition using a drawing or equation

    K.NBT.A.1.c

    Students draw or write an equation to show how a number like 18 is made from a ten and some ones. A simple picture or number sentence such as 18 = 10 + 8 is enough.

Measurement and Data
  • Describe and compare measurable attributes

    K.MD.A

    Students look at objects and describe how they differ by size, length, or weight. They practice saying things like "this crayon is longer" or "that block is heavier" before numbers enter the picture.

  • 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 several of these qualities at once.

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

    K.MD.A.2

    Students pick two objects and compare them side by side to figure out which is taller, shorter, heavier, or longer. They put the difference into words.

  • Classify objects and count the number of objects in each category

    K.MD.B

    Students sort objects into groups (by color, shape, or size) and count how many are in each group.

  • Classify objects into given categories based on their attributes

    K.MD.B.3

    Students sort everyday objects into groups by color, shape, or size, then count how many are in each group. They also compare the groups to see which has more or fewer.

  • Work with money

    K.MD.C

    Students identify coins by name and know the value each one stands for. They practice using pennies, nickels, dimes, and quarters in simple, real-world situations.

  • Recognize pennies, nickels, dimes

    K.MD.C.4

    Students learn the names and cent values of everyday coins: a penny is 1 cent, a nickel is 5, a dime is 10, and a quarter is 25.

Geometry
  • Identify and describe shapes

    K.G.A

    Students learn to name and describe everyday shapes like squares, circles, triangles, and cubes. They practice telling shapes apart by what they look like, whether flat or solid.

  • Describe objects in the environment using names of shapes

    K.G.A.1

    Students look around the room and name the shapes they see, like a square window or a round clock, then describe where things are using words like above, below, beside, and next to.

  • Correctly name shapes regardless of their orientations or overall size

    K.G.A.2

    Students can name a triangle whether it's tiny or tilted, and a rectangle whether it's tall or wide. The shape's name doesn't change just because it's flipped around or a different size.

  • Identify shapes as two-dimensional

    K.G.A.3

    Students sort shapes into two groups: flat shapes you can draw on paper, like a square or circle, and solid shapes you can pick up and hold, like a block or a ball.

  • Analyze, compare, create

    K.G.B

    Students sort, compare, and build shapes by looking at how many sides they have, how long those sides are, and whether the corners are sharp or flat.

  • 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, then describe what makes them alike or different. They talk about how many sides or corners a shape has, and whether its sides are the same length.

  • Model shapes in the world by building shapes from components

    K.G.B.5

    Students build and draw basic shapes like circles, squares, and triangles. They use materials like sticks and clay to make shapes they see in the real world.

  • Compose simple shapes to form larger shapes

    K.G.B.6

    Students put small shapes together to build a bigger one, like sliding two triangles side by side to make a square. They learn that larger shapes are made of smaller pieces.

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

    Students should count to 100, count groups of objects up to 20, and write numbers from 0 to 20. They should add and subtract within 5 without much thought, solve small story problems within 10, and name common shapes like circles, squares, triangles, and cubes.

  • How can I help my child practice counting at home?

    Count real things together. Count stairs as you climb them, raisins on a plate, or cars in the parking lot. Ask how many after counting, so students learn that the last number said is the total. Five minutes a day adds up fast.

  • My child can say numbers to 20 but miscounts objects. Is that normal?

    Yes. Saying number names and actually counting objects are two different skills. Practice touching one object as each number is said. Line up buttons or coins and point to each one. This one-to-one matching takes time to click.

  • How should I sequence counting and number writing across the year?

    Start with counting to 20 and one-to-one matching in the fall. Build to counting to 100 and writing numerals 0 to 20 by midyear. Save comparing groups and teen-number place value for the second half, once counting is solid.

  • Which skills usually need the most reteaching?

    Teen numbers trip up the most students. Saying fourteen and writing 14 as one ten and four ones takes repeated practice with ten frames or bundles of sticks. Reversed digits when writing numerals is also common and worth steady attention.

  • What does adding and subtracting look like at this age?

    Students solve small problems with fingers, drawings, blocks, or by acting them out. They work with sums and differences up to 10 and get quick with facts up to 5. Equations like 3 + 2 = 5 come in, but objects and pictures stay central.

  • How do I help with shapes and money at home?

    Point out shapes during the day. A stop sign, a soup can, a slice of pizza. Sort coins from a jar and name pennies, nickels, dimes, and quarters with their values. Building with blocks also counts as shape work.

  • How do I know students are ready for first grade math?

    Look for fluent counting to 100, accurate counting of groups up to 20, and quick recall of sums and differences within 5. Students should also break apart numbers like 7 into pairs such as 4 and 3, and see teen numbers as a ten plus some ones.