Montague Township School District
Math Curriculum Guide
Grade 5
2025-2026
Deb Vigorito · Alexandria Zeim
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Description
Grade 5 mathematics focuses on three critical areas that build on prior knowledge and prepare students for higher mathematics. The first area develops fluency with addition and subtraction of fractions with unlike denominators, and extends understanding to multiplication and division of fractions in limited cases. The second area extends division to two-digit divisors, integrates decimals into the place value system, and develops fluency with operations on decimals to hundredths. The third area develops understanding of volume as an attribute of three-dimensional space and relates volume to multiplication and addition. Students work with multiple representations including visual models, area models, and standard algorithms, connecting conceptual understanding to procedural fluency throughout the year.
Big Ideas
- Fractions, decimals, and whole numbers are interconnected representations that follow common mathematical principles and properties.
- Place value extends to decimals and underlies efficient computation strategies with all types of numbers.
- Volume is a measurable attribute that connects to multiplication, addition, and three-dimensional reasoning.
- Two-dimensional figures can be classified and understood through a hierarchy of properties.
- Patterns and numerical relationships can be represented, analyzed, and communicated using multiple models including graphs and equations.
Essential Questions
- How do mathematical operations with fractions, decimals, and whole numbers relate to one another?
- Why is place value understanding essential for working with multi-digit whole numbers and decimals?
- How can geometric attributes be used to classify and understand two-dimensional figures?
- What role does estimation play in checking the reasonableness of computational results?
- How do coordinate systems help organize and represent mathematical relationships?
Core Textbook
Houghton Mifflin Harcourt GoMath — Houghton Mifflin Harcourt
Supplemental Materials
- Mastery Education Measuring Up Live (My Quest)
- iReady Math
- STAR 360/MAP
- Lucy Calkins Classroom Libraries - Leveled Shelves
- Scholastic Leveled Bookroom — Scholastic
Digital Literacy
Geometry
Measurement
Number and Operations in Base Ten
Number and Operations—Fractions
Operations and Algebraic Thinking
Standards for Mathematical Practice
Students read and comprehend informational and literary texts to understand mathematical concepts and solve word problems. Students write explanations of mathematical thinking using precise vocabulary and demonstrate command of conventions including grammar and punctuation. Students engage in collaborative discussions about mathematical strategies and justify their reasoning with evidence.
Students collect, organize, and analyze data to identify patterns and make predictions in scientific investigations. Students use measurement tools and develop understanding of volume and capacity. Students engage in scientific practices including asking questions, developing models, conducting fair tests, and constructing explanations based on evidence.
Assessment is ongoing and multifaceted, incorporating formative and summative measures. Formative assessments include daily classwork, exit tickets, white boards, individual and group work, math journals, and quizzes that monitor student understanding and inform instruction. Summative assessments include chapter tests, end-of-unit tests, performance tasks, extended projects, and PARCC assessments. Benchmark assessments using Renaissance/STAR MAP and tools within adopted programs (Envision, Go Math, Eureka, iReady) are administered periodically to track progress toward grade-level standards. Alternative assessments and differentiated approaches accommodate diverse learners.
| Unit | Formative | Summative | Benchmark | Alternative |
|---|---|---|---|---|
| 01Understanding the Place Value System | ✓ | ✓ | — | ✓ |
| 02Understanding Volume and Operations on Fractions | ✓ | ✓ | ✓ | ✓ |
| 03More Operations on Fractions | ✓ | ✓ | — | ✓ |
| 04Coordinate Geometry and Classifying Figures | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 2/2 | 4/4 |
| Unit | IEP | 504 | MLL | At-Risk | Gifted |
|---|---|---|---|---|---|
| 01Understanding the Place Value System | ✓ | ✓ | ✓ | ✓ | ✓ |
| 02Understanding Volume and Operations on Fractions | ✓ | ✓ | ✓ | ✓ | ✓ |
| 03More Operations on Fractions | ✓ | ✓ | ✓ | ✓ | ✓ |
| 04Coordinate Geometry and Classifying Figures | ✓ | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 4/4 | 4/4 | 4/4 |