Key Math Domains & Topics (Common Core Aligned)
| Domain | Topics Covered |
|---|---|
| Ratios & Proportional Relationships (RP) | – Analyze proportional relationships and use them to solve real-world and mathematical problems |
Solve multi-step ratio problems
Use proportions to calculate percentages, discounts, tax, tip, and interest |
| The Number System (NS) | – Add, subtract, multiply, and divide rational numbers (integers, fractions, and decimals)Convert between forms
Apply operations with negative numbers in real-life contexts (e.g., temperature, banking) |
| Expressions & Equations (EE) | – Solve multi-step equations and inequalitiesApply properties of operations
Understand and use algebraic expressions and equivalent expressions
Solve problems using simple interest, tax, markup, and percent error |
| Geometry (G) | – Solve problems involving angle measure, area, surface area, and volumeUse scale drawings and geometric constructions
Understand 2D cross-sections of 3D objects |
| Statistics & Probability (SP) | – Draw and interpret data from random samplesUnderstand variability and compare populations
Make inferences based on data; construct box plots, dot plots, histograms |
| Publisher | Curriculum Name | Features |
|---|---|---|
| Illustrative Mathematics | Grade 7 IM Curriculum | Strong focus on reasoning, multiple representations, and conceptual discussions |
| Eureka Math / EngageNY | Grade 7 Modules | Excellent for deep understanding of expressions, equations, rational numbers, and geometry |
| Go Math! Middle School | Common Core aligned | Combines conceptual instruction with procedural fluency |
| Ready Math (Curriculum Associates) | Focus on real-world applications, vocabulary, and error analysis | |
| Big Ideas Math | Dynamic lessons with digital support | Rich in technology integration, visual examples, and guided inquiry |
| Open Up Resources | Free, CCSS-aligned, problem-based | Encourages collaborative exploration and student discourse |
| Type | Description |
|---|---|
| Formative Assessments | Exit slips, classwork analysis, online quizzes, math journals |
| Unit Tests | Tests aligned to curriculum modules or units (ratios, rational numbers, geometry, etc.) |
| Benchmark Assessments | Given 2–3 times per year to track growth; tools like i-Ready, NWEA MAP, and district-specific tools |
| Statewide Assessments | All states test Math in Grade 7 |
| Examples include SBAC, MCAS, STAAR, FAST, IAR, etc. | |
| Assesses multi-step reasoning, expressions, ratios, statistics |
| Tool | Purpose |
|---|
| Number Lines with Negatives | Visualize operations with integers and rational numbers |
| Ratio Tables / Tape Diagrams | Support proportional reasoning and percent problems |
| Algebra Tiles | Solve equations and explore distributive property visually |
| Geometry Software (GeoGebra) | Dynamic geometry construction and measurement |
| Box Plot & Histogram Tools | Build and interpret data visualizations |
| Scientific Calculators | For decimals, fractions, and proportional problem solving (if allowed) |
| Digital Tools | Desmos, Khan Academy, Zearn (7th), ST Math, Prodigy, i-Ready, Freckle |
| State | Notes |
|---|---|
| California | Uses SBAC for assessment; common curricula include Eureka, Illustrative, and CPM |
| Texas | TEKS-aligned; includes financial literacy and probability concepts slightly earlier |
| Florida | B.E.S.T. standards focus on procedural fluency, financial applications, and interpreting graphs |
| New York | EngageNY and Eureka-based; emphasizes rigorous algebra preparation and deep conceptual understanding |
| Massachusetts | MCAS focuses heavily on proportional reasoning, data analysis, and multi-step problem solving |
School year: August–May/June
Math block: Typically 50–70 minutes daily
Weekly instruction may include:
2–3 days for new content
1–2 days for review and collaborative problem solving
1 day for assessment or enrichment
Advanced Concepts Introduced in Grade 7
- Mastery of rational number operations, including with negatives
- Proportional relationships and rates, including percent and scale
- Multi-step algebraic equations and inequalities
- Statistical inference from sample data
- Geometry involving surface area, volume, and angles
- Early linear relationships and pattern recognition
