Montague Township School District
Math Curriculum Guide
Grade 6
2025-2026
Kassidy House
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Description
Grade 6 mathematics focuses on four critical areas that build foundational skills for middle and high school mathematics. Students connect ratio and rate concepts to multiplication and division, completing their understanding of operations with fractions and extending to the rational number system, including negative numbers. The curriculum develops algebraic thinking through expressions, equations, and understanding variables as representations of unknown quantities. Students also begin formal statistical thinking by analyzing data distributions, measures of center and variability, and relationships between quantities. Throughout the year, students apply these concepts to solve real-world problems involving ratios, rates, geometric figures, and data analysis.
Big Ideas
- Ratios and rates connect to multiplication and division and serve as tools for comparing quantities and solving proportional problems.
- The rational number system extends whole numbers and fractions to include negative numbers, which describe quantities with opposite directions or values.
- Variables and expressions represent unknown quantities and relationships, and equations are used to solve problems by finding values that make them true.
- Data distributions can be described and compared using measures of center, measures of variability, and overall shape.
- Mathematical reasoning involves translating among multiple representations: words, symbols, tables, graphs, and models.
Essential Questions
- How do ratio and rate concepts extend multiplication and division to solve real-world problems?
- How do properties of operations allow us to understand and solve equations?
- What do negative numbers represent, and how do they extend our number system?
- How do measures of center and variability help us understand and compare data sets?
- How can variables represent relationships between quantities in real-world situations?
Core Textbook
Pearson EnVision — Pearson
Supplemental Materials
- Pearson EnVision 2.0 — Pearson
- Houghton Mifflin Harcourt GoMath — Houghton Mifflin Harcourt
- EngageNY Math
- Mastery Education Measuring Up Live (My Quest)
- iReady Math
- STAR 360/MAP
- Lucy Calkins Classroom Libraries - Leveled Shelves
- Scholastic Leveled Bookroom — Scholastic
Expressions and Equations
Geometry
The Number System
Ratios and Proportional Relationships
Statistics and Probability
Standards for Mathematical Practice
Students use close-reading skills to understand and solve complex word problems and write mathematical reflections after each unit. Students utilize reading comprehension skills by acting out or drawing the order of important events in story problems. Students read and write stories to represent mathematical concepts.
Students apply mathematical reasoning to understand scientific phenomena including temperatures, data analysis, and quantitative relationships in science investigations.
Students understand how to read dates properly, interpret geographic and economic data, and use quantitative evidence to support historical and civic arguments.
Assessment throughout Grade 6 is continuous and multifaceted. Formative assessments include homework practice, exit tickets, journal writing, spiral reviews, task cards, and self-assessments to monitor student understanding. Summative assessments include chapter tests, performance tasks, extended projects, and PARCC assessments to evaluate mastery of standards. Benchmark assessments using tools such as Renaissance/STAR, MAP Testing, and built-in assessments within adopted programs (Envision, Go Math, Eureka, iReady) track progress toward proficiency. Teachers also use alternative assessments such as performance-based projects and extension work to demonstrate deeper understanding and applications of concepts.
| Unit | Formative | Summative | Benchmark | Alternative |
|---|---|---|---|---|
| 01Operations and Reasoning About Ratios | ✓ | ✓ | — | ✓ |
| 02Expressions and 3-D Geometry | ✓ | ✓ | ✓ | ✓ |
| 03Equations, The Rational Number System and 2-D Geometry | ✓ | ✓ | — | ✓ |
| 04Variability, Distributions, and Relationships Between Quantities | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 2/2 | 4/4 |
| Unit | IEP | 504 | MLL | At-Risk | Gifted |
|---|---|---|---|---|---|
| 01Operations and Reasoning About Ratios | ✓ | ✓ | ✓ | ✓ | ✓ |
| 02Expressions and 3-D Geometry | ✓ | ✓ | ✓ | ✓ | ✓ |
| 03Equations, The Rational Number System and 2-D Geometry | ✓ | ✓ | ✓ | ✓ | ✓ |
| 04Variability, Distributions, and Relationships Between Quantities | ✓ | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 4/4 | 4/4 | 4/4 |