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Learning Standards Standards

What does a student learn in ?

This is the year math stretches past whole numbers into fractions and decimals that show up on rulers, measuring cups, and price tags. Students compare fractions, add and subtract them, and start reading decimals like 0.75 or 1.5 as real amounts. They also solve longer word problems with multiplication and division, and begin tracking money choices like saving and spending. By spring, they can add two fractions with the same bottom number and explain a multi-step word problem.

  • Fractions
  • Decimals
  • Multi-step word problems
  • Multiplication and division
  • Money and saving
  • Measurement
Source: Texas Texas Essential Knowledge and Skills
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

    Place value to a million

    Students read, write, and compare whole numbers up to the hundred millions and decimals to the hundredths. Expect questions about how the same digit means something different depending on where it sits.

  2. 2

    Adding and multiplying whole numbers

    Students add and subtract larger numbers and start multiplying up to three digits by two digits. Word problems get longer, and students learn to estimate before solving to check their answer makes sense.

  3. 3

    Fractions and decimals

    Students compare fractions with different bottom numbers, add and subtract fractions with the same bottom number, and connect fractions to decimals like 0.25 and 0.5. Money and measurement make this real.

  4. 4

    Shapes, angles, and measurement

    Students measure angles with a protractor, classify triangles and other shapes, and solve problems with perimeter and area. They also convert between units like inches and feet or minutes and hours.

  5. 5

    Data, patterns, and money

    Students read and build graphs that show data with fractions and decimals, find patterns in input-output tables, and work through budgeting basics like income, expenses, and saving for a goal.

Mastery Learning Standards
The required skills a student should display by the end of Grade 4.
Mathematical Process Standards

  • Apply Mathematics

    TX-MATH.PROC.4.1

    Students use math to solve real problems, not just textbook exercises. That means figuring out prices, distances, schedules, and other situations they actually run into outside of school.

  • Problem-Solving Model

    TX-MATH.PROC.4.2

    Students work through math problems by first figuring out what the problem is actually asking, then planning how to solve it, checking that the answer makes sense, and explaining why it works.

  • Select Tools and Techniques

    TX-MATH.PROC.4.3

    Students choose the right tool for the problem, whether that means a calculator, scratch paper, or working it out in their head. Picking the right approach is part of solving the problem.

  • Communicate Mathematical Ideas

    TX-MATH.PROC.4.4

    Students explain their math thinking using pictures, charts, numbers, and words, not just one method. The goal is to show the same idea more than one way so anyone reading it can follow the reasoning.

  • Form Representations

    TX-MATH.PROC.4.5

    Students turn math ideas into drawings, charts, or equations to make their thinking visible and easier to explain.

  • Analyze Relationships

    TX-MATH.PROC.4.6

    Students look for patterns and connections across math topics, then explain how different ideas fit together. This standard is about thinking across math, not just solving one problem at a time.

  • Justify Reasoning

    TX-MATH.PROC.4.7

    Students explain their math answers out loud or in writing, using the right words to show why their solution makes sense, not just what it is.

K-8 mathematics content strands

  • Number and Operations

    TX-MATH.K8.4.1

    Students work with whole numbers, fractions, and decimals to solve real problems. They count, compare, and calculate using the kinds of numbers that show up on price tags, rulers, and recipe cards.

  • Algebraic Reasoning

    TX-MATH.K8.4.2

    Students spot patterns in numbers and shapes, describe how those patterns work, and write simple equations that show the relationship. This is the foundation for algebra before variables take over.

  • Geometry and Measurement

    TX-MATH.K8.4.3

    Students sort, describe, and measure flat and solid shapes, then use what they know to solve everyday problems involving size, distance, or space.

  • Data Analysis

    TX-MATH.K8.4.4

    Students read and build bar graphs, dot plots, and frequency tables, then answer questions about what the data shows, such as which category appeared most or how the totals compare.

  • Personal Financial Literacy

    TX-MATH.K8.4.5

    Students practice making smart money choices: deciding how much to save, how much to spend, and what it means to borrow money and pay it back.

Assessments
The state tests students at this grade and subject take.
State Summative

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
Official source
National Monitoring

NAEP (National Assessment of Educational Progress)

Federally administered sample-based assessment in reading, mathematics, science, writing, and other subjects. NAEP results inform state-by-state comparisons rather than individual student or school accountability.

When given:
biennial in winter
Frequency:
every two years
Official source
Common Questions
  • What math should students know by the end of this year?

    Students should add, subtract, multiply, and divide larger whole numbers with confidence. They should compare fractions and decimals, work with money, measure with rulers and clocks, and solve word problems by showing their thinking on paper.

  • How can families help with math at home in 10 minutes a day?

    Cook, shop, and tell time together. Ask students to double a recipe, count change at the store, or figure out how many minutes until dinner. Real numbers in real moments build the same skills as a worksheet.

  • My child freezes on word problems. What helps?

    Slow down and read the problem twice. Ask students to draw a picture of what is happening before reaching for numbers. A quick sketch of pizzas, coins, or steps on a number line often turns a scary problem into a clear one.

  • How much should students rely on calculators this year?

    Students should still do most arithmetic with paper, pencil, and mental math. A calculator is fine for checking work or for problems where the focus is the reasoning, not the computation.

  • How should fractions and decimals be sequenced across the year?

    Build fractions first with visual models and number lines, then connect tenths and hundredths to decimal notation and money. Comparing, adding, and subtracting fractions with like denominators should come before any decimal operations.

  • Which skills usually need the most reteaching?

    Multi-digit multiplication and long division trip up the most students, often because place value is shaky. Equivalent fractions and converting between fractions and decimals also need repeated practice across several units, not a single chapter.

  • How do I build in personal finance without losing math time?

    Fold it into word problems already on the schedule. Saving goals, simple budgets, and the difference between a need and a want fit naturally into addition, subtraction, and decimal lessons about money.

  • How do I know a student is ready for next year?

    Students should solve multi-step word problems, multiply and divide whole numbers, and reason about fractions and decimals without guessing. They should also explain their thinking out loud or on paper using clear math words.