Counting and naming numbers
Students count out loud, count groups of objects up to 20, and learn to write the numbers they say. They start to see that the last number counted tells how many are in the group.
What does a student learn in
This is the year numbers stop being a song and start being amounts students can count, compare, and add together. Students work with sets up to 20, figuring out which group has more and which has fewer. They name shapes around the room and start sorting objects into simple charts. By spring, students can count a small pile of coins or crackers, say how many, and tell a friend whether it's more or less than another pile.
- Counting to 20
- Comparing numbers
- Shapes
- Sorting
- Simple addition
- Money basics
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
- 2
Comparing and sorting
Students compare groups to see which has more, fewer, or the same. They sort buttons, blocks, and other objects by color, size, or shape and explain how they grouped them.
- 3
Adding and taking away
Students join groups together and take some away using fingers, counters, and drawings. They start to solve simple story problems like three apples plus two more.
- 4
Shapes and measuring
Students name circles, squares, triangles, cubes, and spheres and find them around the room. They compare objects by length, weight, and how much they hold using words like longer, heavier, and holds more.
- 5
Coins, saving, and graphs
Students learn the names of pennies, nickels, dimes, and quarters and talk about saving versus spending. They also help build simple picture graphs and answer questions about what the graph shows.
Mastery Learning Standards
The required skills a student should display by the end of Kindergarten.
Mathematical Process Standards
Mathematical Process Standards
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Apply Mathematics
Kindergartners connect what they learn in math class to real situations, like counting snacks, measuring with blocks, or figuring out how many chairs a table needs.
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Problem-Solving Model
Students learn to slow down before guessing. They look at what a problem tells them, make a plan, find an answer, and check whether that answer actually makes sense.
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Select Tools and Techniques
Students pick the right tool for the math problem in front of them, whether that means counting with physical objects, sketching on paper, or working it out in their head.
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Communicate Mathematical Ideas
Students explain their math thinking using pictures, numbers, words, or drawings. The goal is to show the same idea more than one way so others can follow the reasoning.
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Form Representations
Students take a math idea (like counting objects or comparing sizes) and show it through a drawing, a number, or a picture so they can explain their thinking to someone else.
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Analyze Relationships
Students look for patterns and connections between math ideas, then explain their thinking out loud or on paper. This helps them see how counting, shapes, and numbers fit together.
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Justify Reasoning
Students practice putting math thinking into words, saying or writing why an answer makes sense. The focus is on explaining the reasoning, not just giving the answer.
| Standard | Definition | Code |
|---|---|---|
| Apply Mathematics | Kindergartners connect what they learn in math class to real situations, like counting snacks, measuring with blocks, or figuring out how many chairs a table needs. | TX-MATH.PROC.K.1 |
| Problem-Solving Model | Students learn to slow down before guessing. They look at what a problem tells them, make a plan, find an answer, and check whether that answer actually makes sense. | TX-MATH.PROC.K.2 |
| Select Tools and Techniques | Students pick the right tool for the math problem in front of them, whether that means counting with physical objects, sketching on paper, or working it out in their head. | TX-MATH.PROC.K.3 |
| Communicate Mathematical Ideas | Students explain their math thinking using pictures, numbers, words, or drawings. The goal is to show the same idea more than one way so others can follow the reasoning. | TX-MATH.PROC.K.4 |
| Form Representations | Students take a math idea (like counting objects or comparing sizes) and show it through a drawing, a number, or a picture so they can explain their thinking to someone else. | TX-MATH.PROC.K.5 |
| Analyze Relationships | Students look for patterns and connections between math ideas, then explain their thinking out loud or on paper. This helps them see how counting, shapes, and numbers fit together. | TX-MATH.PROC.K.6 |
| Justify Reasoning | Students practice putting math thinking into words, saying or writing why an answer makes sense. The focus is on explaining the reasoning, not just giving the answer. | TX-MATH.PROC.K.7 |
K-8 mathematics content strands
K-8 mathematics content strands
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Number and Operations
Students count, compare, and work with whole numbers in ways that make sense for kindergarten. This is the big idea behind all the number work students do at this grade level.
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Algebraic Reasoning
Students spot patterns in numbers and shapes, then describe what comes next or why things belong together. This is the foundation for understanding how math rules and relationships work.
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Geometry and Measurement
Students sort and describe flat shapes like circles and triangles, and solid shapes like cubes and spheres. They also practice basic measuring to solve everyday problems.
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Data Analysis
Students sort objects into groups, count each group, and show the results in a simple picture graph or chart. They also answer basic questions about what the data shows.
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Personal Financial Literacy
Kindergarten students sort coins by name, decide when to save versus spend, and talk through simple choices like buying now or waiting. It's an early look at how money decisions work in real life.
| Standard | Definition | Code |
|---|---|---|
| Number and Operations | Students count, compare, and work with whole numbers in ways that make sense for kindergarten. This is the big idea behind all the number work students do at this grade level. | TX-MATH.K8.K.1 |
| Algebraic Reasoning | Students spot patterns in numbers and shapes, then describe what comes next or why things belong together. This is the foundation for understanding how math rules and relationships work. | TX-MATH.K8.K.2 |
| Geometry and Measurement | Students sort and describe flat shapes like circles and triangles, and solid shapes like cubes and spheres. They also practice basic measuring to solve everyday problems. | TX-MATH.K8.K.3 |
| Data Analysis | Students sort objects into groups, count each group, and show the results in a simple picture graph or chart. They also answer basic questions about what the data shows. | TX-MATH.K8.K.4 |
| Personal Financial Literacy | Kindergarten students sort coins by name, decide when to save versus spend, and talk through simple choices like buying now or waiting. It's an early look at how money decisions work in real life. | TX-MATH.K8.K.5 |
No state assessments at this grade
Students take their next one in Grade 3.
STAAR Mathematics (Grades 3-5)
STAAR Mathematics is the spring summative math test for grades 3 through 5, aligned to the TEKS for math. Items include multiple-choice, gridded responses, and drag-and-drop.
- When given:
- spring
- Frequency:
- annual
Common Questions
What math should my child know by the end of the year?
Students should count to at least 20, recognize written numbers, and tell which group has more or fewer. They should also name basic shapes like circles, squares, and triangles, and add or take away small groups of objects up to 10.
How can I help with math at home in just a few minutes a day?
Count everyday things together. Steps to the car, crackers on a plate, socks in the laundry. Ask questions like which pile has more, how many are left after one is eaten, or what shape the window is. Five minutes of this beats a worksheet.
How should I sequence the year?
Start with counting, number names, and matching numbers to groups of objects. Move into comparing groups, then simple adding and taking away with objects. Save shapes, measurement, and sorting for shorter units mixed in across the year.
Does my child need to memorize addition facts yet?
No. At this stage students work out answers by counting real objects or fingers. Memorizing facts comes later. The goal now is understanding that adding makes a group bigger and taking away makes it smaller.
Which skills usually need the most reteaching?
Counting past the teens trips up many students, especially the jump from 13 to 14 and 19 to 20. Writing numbers backwards is common too. Comparing groups by size, not by which looks longer, also takes repeated practice.
What does mastery look like by the end of the year?
A student can count a group of up to 20 objects without losing track, name the number, write it, and tell whether another group is bigger or smaller. They can also solve simple story problems by acting them out with objects.
Why is my child learning about money and saving already?
Students start noticing coins, talking about what costs money, and sorting wants from needs. Letting them hand the cashier a dollar or drop coins in a jar at home builds the same idea. Nothing technical, just real experience with money.
How do I know a student is ready for first grade math?
Readiness shows up when a student counts to 20 reliably, recognizes written numbers, compares small groups, and solves simple add and take-away problems with objects. Confidence with shapes and sorting helps too. Speed is not the marker. Steady, accurate thinking is.