Key Math Domains & Topics (Common Core Aligned)
| Domain | Topics Covered |
|---|---|
| Operations & Algebraic Thinking (OA) | – Multi-step word problems using all four operations |
Factors and multiples (find all factor pairs)
Identify and explain number patterns
Prime and composite numbers |
| Number & Operations in Base Ten (NBT) | – Place value up to 1,000,000Read, write, compare, and round multi-digit numbers
Fluently add/subtract multi-digit numbers
Multiply 4-digit by 1-digit and 2-digit by 2-digit numbers
Divide up to 4-digit by 1-digit numbers using place value understanding |
| Number & Operations—Fractions (NF) | – Equivalent fractions using models and number linesCompare fractions with unlike denominators
Add and subtract fractions and mixed numbers
Multiply fractions by whole numbers |
| Measurement & Data (MD) | – Solve problems involving measurement (including intervals of time, liquid volume, mass, and angles)Understand and apply area and perimeter
Convert between units (e.g., inches to feet, cm to m) |
| Geometry (G) | – Classify geometric shapes by properties (parallel, perpendicular, angles)Recognize lines of symmetry
Measure and draw angles using a protractor |
| Publisher | Curriculum | Features |
|---|---|---|
| Eureka Math (Modules 1–7) | Focus on multi-digit computation, deep fraction sense, area/angle concepts | |
| Illustrative Mathematics Grade 4 | Problem-based and aligned to CCSS, encourages math discourse and visualization | |
| Ready Mathematics | Highly structured with lessons, quizzes, review practice, and performance tasks | |
| Bridges in Mathematics | Game-based practice; strong conceptual fluency and visual supports | |
| Go Math! / My Math | Easy to follow, procedural with visual models and traditional practice | |
| Investigations (TERC) | Some districts continue this with supplemental fluency support |
| Type | Description |
|---|---|
| Formative Assessment | Exit slips, partner tasks, weekly check-ins |
| Module/Unit Tests | Mid-unit and end-of-unit quizzes using curriculum-based resources |
| Benchmark Diagnostics | Tools like i-Ready, NWEA MAP, FastBridge, or district-created benchmarks (Fall, Winter, Spring) |
| State Testing (Grade 4) | Required in most states |
SBAC, MCAS, FSA/FAST, STAAR, PSSA, IAR, etc.
Tests focus on multi-step problem solving and conceptual understanding |
| Tool | Purpose |
|---|---|
| Base Ten Blocks | Understanding place value and regrouping with large numbers |
| Area Models & Grid Paper | Multi-digit multiplication and understanding division |
| Fraction Bars/Circles | Addition/subtraction and equivalence of fractions |
| Pattern Blocks / Geoboards | Explore symmetry, classification, and angles |
| Protractors & Rulers | Measure angles and classify triangles based on angle size |
| Conversion Charts | Metric/customary unit conversions |
| Digital Tools | Khan Academy, Zearn, ST Math, Freckle, i-Ready, Prodigy |
| State | Notes |
|---|---|
| California | Uses SBAC; many districts follow Eureka Math or Bridges |
| Texas | TEKS standards differ slightly (e.g., greater focus on financial literacy and problem-solving) |
| Florida | B.E.S.T. standards emphasize computational fluency with support for visual models |
| New York | EngageNY/Eureka widely used; emphasis on reasoning, explanation, and modeling |
| Georgia | Uses Georgia Standards of Excellence; similar to CCSS with adjusted pacing |
School runs August–May/June
Math instruction is typically 60–75 minutes/day
Pacing guides usually include:
Fluency routines (5–10 mins)
Whole-group instruction
Problem-solving or small group
Exit ticket or application task
Advanced Concepts Introduced in Grade 4
- Mastery of multi-digit multiplication and long division
- Operations with fractions: addition/subtraction with unlike denominators, multiplying by whole numbers
- Classification of shapes and angles
- Understanding symmetry and measurement conversions
- Angle measurement and protractor use
- Multi-step word problems that integrate operations and real-world situations
