Montague Township School District
Math Curriculum Guide
Grade 4
2025-2026
Natalie Dube · Brent Runne
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Description
Grade 4 mathematics focuses on three critical areas aligned with Common Core State Standards. Students develop understanding and fluency with multi-digit multiplication and division with multi-digit dividends. They build upon prior knowledge to develop understanding of fraction equivalence, addition and subtraction with like denominators, and multiplication of fractions by whole numbers. Students extend their geometric understanding by analyzing and classifying two-dimensional shapes based on properties such as parallel sides, perpendicular sides, angle measures, and symmetry. Throughout the year, students apply the Standards for Mathematical Practice, engaging in problem-solving, reasoning, modeling, and precise communication about mathematical ideas.
Big Ideas
- Multiplication and division of multi-digit whole numbers can be understood through place value, models, and properties of operations.
- Fractions are numbers that can be equivalently represented in multiple ways and used in operations to solve real-world problems.
- Geometric figures have properties defined by their angles, sides, and symmetry that allow them to be classified and compared.
- Mathematical reasoning involves making sense of problems, persevering through solutions, and explaining thinking with precision and clarity.
- Multiple representations and models support understanding of abstract mathematical concepts.
Essential Questions
- How does our base ten number system work and how does understanding it help us compute with efficiency?
- What is a fraction and how can fractions be used in problem-solving situations?
- How can geometric figures be analyzed and classified based on their properties?
- How do we use mathematical models and representations to understand and solve problems?
- What makes a mathematical argument valid and how do we justify our reasoning?
Core Textbook
Pearson EnVision 2.0 — Pearson
Digital Literacy
Geometry
Measurement
Number and Operations in Base Ten
Number and Operations—Fractions
Operations and Algebraic Thinking
Students use reading comprehension skills to decode words, study vocabulary, and solve word problems. Students identify important information and write explanations of their mathematical thinking using mathematical terms. Students connect everyday vocabulary to strengthen understanding of mathematical terms.
Students represent data, discover patterns, and read information to analyze observations. Students use measuring tools to create models and measure results of experiments. Students analyze data to form conclusions and use data to prove theories across life science, physical science, and earth science modules.
Students understand how to read dates properly and interpret historical information.
Assessment throughout Grade 4 is multifaceted, combining formative and summative measures. Teachers use daily classwork, exit tickets, task cards, whiteboards, and individual and group work as formative assessment. Math journals and benchmark assessments within adopted programs provide ongoing insight into student understanding. Summative assessments include chapter tests, performance tasks, extended projects, and end-of-year assessments. State standardized assessments such as PARCC, Renaissance/STAR, and Map Testing provide comparative data. Teachers supplement with performance-based assessments and extension projects to measure higher-order thinking. Differentiated assessment tools accommodate special needs students, English language learners, and gifted learners through modified formats, alternate activities, and tiered options.
| Unit | Formative | Summative | Benchmark | Alternative |
|---|---|---|---|---|
| 01Place Value & Operations with Whole Numbers | ✓ | ✓ | — | ✓ |
| 02Multi-digit Arithmetic & Fraction Equivalence | ✓ | ✓ | ✓ | ✓ |
| 03Building Fractions & Decimal Notation | ✓ | ✓ | — | ✓ |
| 04Geometry and Measurement | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 2/2 | 4/4 |
| Unit | IEP | 504 | MLL | At-Risk | Gifted |
|---|---|---|---|---|---|
| 01Place Value & Operations with Whole Numbers | ✓ | ✓ | ✓ | ✓ | ✓ |
| 02Multi-digit Arithmetic & Fraction Equivalence | ✓ | ✓ | ✓ | ✓ | ✓ |
| 03Building Fractions & Decimal Notation | ✓ | ✓ | ✓ | ✓ | ✓ |
| 04Geometry and Measurement | ✓ | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 4/4 | 4/4 | 4/4 |