Place value and big numbers
Students read, write, and compare numbers up to 100,000. They learn what each digit is worth and how to round numbers to make estimates that feel close to right.
What does a student learn in
This is the year math shifts from adding and subtracting to thinking in groups. Students learn multiplication and division, and they start to see fractions as real numbers on a ruler or a strip of paper. They also work with money in a new way, weighing what to save against what to spend. By spring, students can solve a word problem with multiplication and explain how they got the answer.
- Multiplication and division
- Fractions
- Word problems
- Money and saving
- Shapes and measurement
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
Addition and subtraction within 1,000
Students add and subtract three-digit numbers and use those skills to solve word problems about money, distance, and everyday situations. They learn to check whether an answer makes sense.
- 3
Multiplication and division
Students learn what it means to multiply and divide, build up the times tables through 10, and use them to solve problems like sharing equally or arranging items in rows.
- 4
Fractions on the number line
Students see fractions as parts of a whole and as points on a number line. They compare fractions, find ones that are equal, and explain why halves, thirds, and fourths behave the way they do.
- 5
Shapes, measurement, and data
Students sort shapes by their sides and angles, measure length, time, and liquid amounts, and find the area and perimeter of rectangles. They also read bar graphs and pictographs to answer questions.
- 6
Money and personal finance
Students learn the difference between things people need and things they want, track income and spending, and see how saving and borrowing work. This rounds out the year with math students use at home.
Mastery Learning Standards
The required skills a student should display by the end of Grade 3.
Mathematical Process Standards
Mathematical Process Standards
-
Apply Mathematics
Students use math to solve problems from real life, not just textbook exercises. That means figuring out change at a store, reading a schedule, or splitting something fairly.
-
Problem-Solving Model
Students work through math problems in steps: understand what the question is asking, plan how to solve it, find an answer, and then check whether that answer actually makes sense.
-
Select Tools and Techniques
Students pick the right tool for the math problem at hand, whether that means using blocks, drawing on paper, reaching for a calculator, or working it out in their head.
-
Communicate Mathematical Ideas
Students explain their math thinking in more than one way, such as drawing a picture, writing a number sentence, or describing what they did in words. The goal is to make their reasoning clear to someone else.
-
Form Representations
Students turn math ideas into pictures, diagrams, or written steps so they can explain their thinking and solve problems more clearly.
-
Analyze Relationships
Students look for patterns and connections between math ideas, then explain how those ideas fit together. This might mean noticing how addition and multiplication relate, or how a shape's sides connect to its perimeter.
-
Justify Reasoning
Students explain their math answers out loud or in writing, using the right words to show why their reasoning makes sense, not just what answer they got.
| Standard | Definition | Code |
|---|---|---|
| Apply Mathematics | Students use math to solve problems from real life, not just textbook exercises. That means figuring out change at a store, reading a schedule, or splitting something fairly. | TX-MATH.PROC.3.1 |
| Problem-Solving Model | Students work through math problems in steps: understand what the question is asking, plan how to solve it, find an answer, and then check whether that answer actually makes sense. | TX-MATH.PROC.3.2 |
| Select Tools and Techniques | Students pick the right tool for the math problem at hand, whether that means using blocks, drawing on paper, reaching for a calculator, or working it out in their head. | TX-MATH.PROC.3.3 |
| Communicate Mathematical Ideas | Students explain their math thinking in more than one way, such as drawing a picture, writing a number sentence, or describing what they did in words. The goal is to make their reasoning clear to someone else. | TX-MATH.PROC.3.4 |
| Form Representations | Students turn math ideas into pictures, diagrams, or written steps so they can explain their thinking and solve problems more clearly. | TX-MATH.PROC.3.5 |
| Analyze Relationships | Students look for patterns and connections between math ideas, then explain how those ideas fit together. This might mean noticing how addition and multiplication relate, or how a shape's sides connect to its perimeter. | TX-MATH.PROC.3.6 |
| Justify Reasoning | Students explain their math answers out loud or in writing, using the right words to show why their reasoning makes sense, not just what answer they got. | TX-MATH.PROC.3.7 |
K-8 mathematics content strands
K-8 mathematics content strands
-
Number and Operations
Reading, writing, and comparing whole numbers up to the ten-thousands, along with simple fractions and decimals. Students use these numbers to solve real problems with addition, subtraction, multiplication, and division.
-
Algebraic Reasoning
Students look at number patterns and figure out the rule that makes them work, then use that rule to predict what comes next or solve simple equations.
-
Geometry and Measurement
Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use those skills to solve everyday problems involving size, distance, or how much space a shape takes up.
-
Data Analysis
Students read and build bar graphs, pictographs, and data tables, then answer questions about what the numbers show. They also find the most common value in a small set of data.
-
Personal Financial Literacy
Students practice basic money decisions: choosing to save or spend, and learning why borrowing money has a cost. They apply the math they know to real-life choices about how to use money wisely.
| Standard | Definition | Code |
|---|---|---|
| Number and Operations | Reading, writing, and comparing whole numbers up to the ten-thousands, along with simple fractions and decimals. Students use these numbers to solve real problems with addition, subtraction, multiplication, and division. | TX-MATH.K8.3.1 |
| Algebraic Reasoning | Students look at number patterns and figure out the rule that makes them work, then use that rule to predict what comes next or solve simple equations. | TX-MATH.K8.3.2 |
| Geometry and Measurement | Students sort and measure flat shapes like squares and triangles, and solid shapes like cubes and cones. They use those skills to solve everyday problems involving size, distance, or how much space a shape takes up. | TX-MATH.K8.3.3 |
| Data Analysis | Students read and build bar graphs, pictographs, and data tables, then answer questions about what the numbers show. They also find the most common value in a small set of data. | TX-MATH.K8.3.4 |
| Personal Financial Literacy | Students practice basic money decisions: choosing to save or spend, and learning why borrowing money has a cost. They apply the math they know to real-life choices about how to use money wisely. | TX-MATH.K8.3.5 |
Assessments
The state tests students at this grade and subject take.
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 students know by the end of the year?
Students should be comfortable multiplying and dividing within 100, working with fractions on a number line, and solving two-step word problems. They should also be able to tell time to the minute, measure length, and read simple bar graphs.
How can I help with multiplication at home?
Practice the times tables in short bursts, five minutes a day, using flashcards or a quick verbal quiz during the drive to school. Skip-counting out loud (3, 6, 9, 12) also builds the patterns students need before memorizing facts.
What does fraction work look like this year?
Students start treating fractions as numbers, not just slices of pizza. They place fractions on a number line, compare fractions with the same top or bottom number, and find fractions that name the same amount, like 1/2 and 2/4.
How should I sequence multiplication and division across the year?
Start with equal groups and arrays in the fall, build fact fluency through winter using properties like the distributive property, then move into two-step word problems and division as an unknown factor. Save fractions for after students see multiplication as more than memorization.
Which skills usually need the most reteaching?
Fractions on a number line and the difference between area and perimeter are the two big ones. Word problems with more than one step also trip up students who can do the computation in isolation but lose track of what the question is asking.
My child gets stuck on word problems. What helps?
Have students read the problem twice, then say what they know and what they need to find out before touching a pencil. Drawing a quick picture or acting it out with coins or blocks turns a wall of words into something concrete.
Do students need to memorize multiplication facts?
Yes. By the end of the year students should know facts through 10 by 10 from memory. Memorization is not the goal of math, but slow recall makes fractions and longer problems much harder next year.
How do I know students are ready for next grade?
They can multiply and divide within 100 quickly, explain a fraction as a point on a number line, solve a two-step word problem, and measure length, time, and money without much help. Reasoning out loud about why an answer makes sense is the clearest sign.
How does money and saving fit into third grade math?
Students start making simple decisions about saving and spending, like figuring out how many weeks of allowance it takes to buy something. Counting change at the store or tracking a savings jar at home gives this real practice without a worksheet.