Texas Mathematics — Grade 4
Comprehensive Course Syllabus
Course Overview
Our Texas Grade 4 Mathematics course is designed according to the Texas Essential Knowledge and Skills (TEKS) standards. Students strengthen their understanding of large numbers, multiplication, division, fractions, decimals, geometry, measurement, data analysis, and multi-step problem-solving.
The course emphasizes conceptual understanding, mathematical reasoning, and practical application through interactive lessons and real-life examples, preparing students for upper elementary mathematics.
Number Sense & Place Value
Whole Numbers
Students read, write, compare, and order whole numbers up to 1,000,000 using place value concepts.
Place Value & Expanded Form
Students represent numbers in standard, expanded, and word forms while understanding the value of each digit.
Rounding Large Numbers
Students round numbers to the nearest 10, 100, 1,000, 10,000, and 100,000 using place value strategies.
Number Patterns
Students identify, extend, and explain numerical patterns and relationships between numbers.
Numbers on the Number Line
Students locate and represent large whole numbers on open number lines using place value reasoning.
Estimation with Large Numbers
Students use rounding and compatible numbers to estimate sums and differences before computing.
Multiplication & Division
Multi-Digit Multiplication
Students multiply up to four-digit numbers by one- and two-digit numbers using efficient strategies and standard algorithms.
Long Division
Students divide multi-digit numbers by one-digit divisors and solve practical division problems.
Factors & Multiples
Students identify factors, multiples, prime numbers, composite numbers, and common factors.
Multi-Step Word Problems
Students solve challenging real-world problems involving multiple mathematical operations.
Interpreting Remainders
Students decide what a remainder means in context and whether to round up, drop it, or share it.
Estimating Products & Quotients
Students estimate answers to multiplication and division problems to check whether results are reasonable.
Fractions & Decimals
Equivalent Fractions
Students identify and generate equivalent fractions using visual models and mathematical reasoning.
Comparing & Ordering Fractions
Students compare fractions with different numerators and denominators using number lines and models.
Addition & Subtraction of Fractions
Students add and subtract fractions with like denominators and solve everyday fraction problems.
Introduction to Decimals
Students understand decimal notation through tenths and hundredths using money and measurement examples.
Comparing Decimals
Students compare, order, and represent decimals using place value concepts.
Adding & Subtracting Decimals
Students fluently add and subtract whole numbers and decimals to the hundredths using the standard algorithm.
Measurement
Metric & Customary Units
Students measure and convert units of length, weight, mass, capacity, and volume.
Time
Students calculate elapsed time and solve real-life scheduling and calendar problems.
Money & Financial Literacy
Students solve problems involving U.S. currency, budgeting, saving, spending, and making change.
Perimeter, Area & Volume
Students calculate the perimeter and area of rectangles and squares and receive an introduction to volume using unit cubes.
Choosing Units & Tools
Students select appropriate units and measuring tools for length, weight, and capacity tasks.
Measurement Word Problems
Students solve real-world problems involving perimeter, area, intervals of time, and unit conversions.
Geometry
Lines & Angles
Students identify parallel, perpendicular, and intersecting lines along with acute, right, and obtuse angles.
Two-Dimensional Figures
Students classify polygons based on sides, angles, symmetry, and other geometric properties.
Three-Dimensional Figures
Students identify and describe prisms, pyramids, cylinders, cones, spheres, and cubes.
Symmetry
Students identify lines of symmetry and create symmetrical figures through drawing activities.
Classifying Triangles & Quadrilaterals
Students sort triangles by side lengths and classify quadrilaterals such as parallelograms, rectangles, rhombuses, and trapezoids.
Geometry in Art & Design
Students explore shapes, symmetry, and repeating patterns in tessellations, architecture, and design projects.
Data Analysis
Tables & Charts
Students organize and interpret data using frequency tables and organized charts.
Graphs
Students create and analyze bar graphs, line plots, pictographs, and coordinate graphs.
Data Interpretation
Students solve real-world problems by analyzing graphical information and identifying trends.
Stem-and-Leaf Plots
Students represent and interpret data using stem-and-leaf plots, a key Grade 4 TEKS data display.
Collecting Survey Data
Students plan simple surveys, collect responses, and organize the results for display.
Data with Fractions & Decimals
Students create and read dot plots whose scales include fractions and decimals.
Algebraic Thinking
Numerical Expressions
Students evaluate simple numerical expressions using the order of operations with parentheses.
Variables & Unknown Numbers
Students solve equations involving unknown values using logical reasoning.
Patterns & Relationships
Students identify mathematical relationships, extend patterns, and solve function tables.
Strip Diagrams
Students represent multi-step problems using strip diagrams before writing equations to solve them.
Writing Equations
Students write equations with a letter standing for the unknown quantity in a word problem.
True or False Number Sentences
Students test number sentences for equality and explain their reasoning about balanced equations.
Mathematical Reasoning
Problem-Solving Strategies
Students apply estimation, drawing models, making tables, working backward, and logical reasoning to solve complex problems.
Mental Mathematics
Students improve calculation speed and accuracy through regular mental math exercises.
Real-Life Mathematics
Students apply mathematical concepts to shopping, travel, sports, measurement, budgeting, and everyday situations.
Explaining Your Thinking
Students justify their solutions aloud and in writing using precise mathematical language.
Finding & Fixing Errors
Students analyze worked solutions, spot mistakes, and correct them to deepen understanding.
Math Puzzles & Logic Games
Students sharpen reasoning through number puzzles, logic grids, and strategy games.
Teaching Methodology
Our mathematics classes focus on conceptual understanding, logical reasoning, and practical application. Students learn through:
Learning Outcomes
By the end of Grade 4, students will be able to:
Assessment & Progress Tracking
Student progress is evaluated through: