Key Math Domains & Topics (Common Core Aligned)
| Domain | Topics Covered |
|---|---|
| Operations & Algebraic Thinking (OA) | – Write and interpret numerical expressions (e.g., 5 × (2 + 3)) |
Analyze patterns in numerical relationships (input-output tables, growing patterns) |
| Number & Operations in Base Ten (NBT)| – Understand the place value system to the thousandthsPerform operations with multi-digit whole numbers and decimals to the hundredths |
| Number & Operations—Fractions (NF) | – Add, subtract, multiply, and divide fractions with unlike denominatorsConvert between improper fractions and mixed numbers
Interpret division of whole numbers as fractions
Real-world problems involving all fraction operations |
| Measurement & Data (MD) | – Convert units within measurement systems (metric and customary)Represent and interpret data using line plots
Understand and measure volume using unit cubes
Solve volume-related word problems using formulas (V = l × w × h) |
| Geometry (G) | – Graph points in the first quadrant of the coordinate planeClassify 2D shapes based on properties (sides, angles, symmetry)
Understand hierarchy of quadrilaterals (parallelograms, rhombuses, etc.) |
| Publisher | Curriculum | Features |
|---|---|---|
| Eureka Math (Modules 1–6) | Includes deep work on decimals, multi-digit arithmetic, volume, fractions, and coordinate geometry | |
| Illustrative Mathematics | Reasoning-based; emphasizes real-world modeling and discussions | |
| Ready Math (Grade 5) | Blends skill practice with conceptual tasks and teacher-friendly assessments | |
| Go Math! / My Math | Traditional approach with fluency and concept work; frequent spiral review | |
| Bridges in Mathematics | Uses games and daily fluency routines; supports deeper concept development | |
| enVision Math (Savvas) | Common Core-aligned; strong visuals and home support materials |
| Type | Description |
|---|---|
| Formative Assessments | Weekly quizzes, daily checks, math journaling, exit tickets |
| Unit Tests | Aligned with modules/units (fractions, decimals, volume, graphing, etc.) |
| Benchmark Assessments | Fall/Winter/Spring diagnostics using NWEA MAP, i-Ready, or district-designed tests |
| State Standardized Testing (Grade 5) | Required in all states |
| Includes performance tasks, multi-step reasoning problems, and constructed responses | |
| Examples: SBAC, FSA/FAST, STAAR, MCAS, IAR, etc. |
| Tool | Purpose |
|---|---|
| Decimal Grids & Place Value Charts | Understanding tenths, hundredths, comparing decimals |
| Fraction Bars/Circles | Addition, subtraction, multiplication, and division of fractions |
| Grid Paper & Area Models | Long multiplication, fraction models, volume models |
| Cubes / 3D Models | Calculating volume, visualizing rectangular prisms |
| Coordinate Grids & Dot Plots | Geometry and data graphing (first quadrant) |
| Conversion Charts | Metric and U.S. customary unit conversions |
| Digital Tools | Khan Academy, ST Math, Freckle, Zearn, i-Ready, Prodigy |
| State | Notes |
|---|---|
| California | Uses SBAC; most districts use Eureka, Bridges, or Ready Math |
| Texas | TEKS standards emphasize financial literacy, decimal fluency, and real-world applications |
| Florida | B.E.S.T. standards include strong emphasis on procedural fluency and word problem mastery |
| New York | EngageNY-based curricula (Eureka); state tests include complex reasoning and multi-step tasks |
| Ohio, Illinois, Pennsylvania | Use Common Core or closely aligned standards; administer state assessments in Spring |
Typical School Year: August to May/June
Math Instruction: 60–75 minutes per day
Lessons follow this routine:
Spiral review
Concept development
Student discussion
Independent or group practice
Application problem or exit ticket
Advanced Concepts Introduced in Grade 5
- Fluency with all fraction operations
- Decimal arithmetic (alignment with place value understanding)
- Volume measurement & formulas
- Coordinate graphing and interpreting points
- Data representation on line plots with fractional data
- Rigorous problem-solving using multi-step word problems
- Understanding geometry hierarchy & attributes of quadrilaterals
