Montague Township School District
Math Curriculum Guide
Kindergarten
2025-2026
Kerry McCormick · Devyn Smith
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Description
Kindergarten mathematics focuses on two critical areas: representing and comparing whole numbers using sets of objects, and describing shapes and space. The year emphasizes number development, with students using numbers and numerals to represent quantities, solve problems, and understand basic counting sequences. Students engage with addition and subtraction as joining and separating situations, initially using concrete objects and visual representations. Geometric understanding develops through identifying, naming, and describing two- and three-dimensional shapes in various orientations and sizes. Students apply mathematical practices throughout the year, including making sense of problems, reasoning with quantities, constructing arguments, and modeling situations with mathematics.
Big Ideas
- Numbers represent quantities and can be expressed through objects, numerals, and written forms.
- Counting is a foundational skill for understanding cardinality and comparing quantities.
- Addition and subtraction represent real-world actions of putting together and taking apart.
- Shapes have properties and can be identified regardless of size, orientation, or arrangement.
- Mathematical reasoning develops through concrete exploration, pictorial representation, and abstract thinking.
Essential Questions
- How can numbers be represented in different ways?
- How do we use counting and numbers in everyday life?
- What makes shapes different from each other?
- How can we decompose and compose quantities?
- How do mathematical strategies help us solve problems?
Core Textbook
Pearson EnVision — Pearson
Counting and Cardinality
Digital Literacy
Geometry
Measurement
Number and Operations in Base Ten
Operations and Algebraic Thinking
Standards for Mathematical Practice
Students connect everyday vocabulary to strengthen understanding of mathematical terms. Students utilize reading comprehension skills by acting out or drawing the order of important events in story problems. Students create mathematical stories using numbers, pictures, and words in interactive student notebooks and read alouds.
Students work with data and make calculations involving measurements and other data across all modules. Students develop understanding through observing patterns and analyzing information related to physical and natural phenomena.
Students connect money as a means for helping people buy things they need or want. Students complete independent and partner projects to plan and market a good or service, developing economic literacy.
Assessment in kindergarten mathematics is ongoing and multifaceted, incorporating formative and summative measures. Formative assessments include classwork, exit tickets, whiteboards, individual and group work, and math journals. Teachers use these daily observations to adjust instruction and identify student understanding. Summative assessments include chapter tests, performance tasks, and extended projects. Benchmark assessments from programs like Renaissance/STAR, Map Testing, and enVision provide periodic monitoring of progress. Students with diverse learning needs receive differentiated assessments and alternative formats to demonstrate understanding.
| Unit | Formative | Summative | Benchmark | Alternative |
|---|---|---|---|---|
| 01Connecting Counting to Cardinality | ✓ | ✓ | — | ✓ |
| 02Counting, Addition, and Subtraction | ✓ | ✓ | ✓ | ✓ |
| 03Place Value and Measurement | ✓ | ✓ | — | ✓ |
| 04Place Value and Geometric Shapes | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 2/2 | 4/4 |
| Unit | IEP | 504 | MLL | At-Risk | Gifted |
|---|---|---|---|---|---|
| 01Connecting Counting to Cardinality | ✓ | ✓ | ✓ | ✓ | ✓ |
| 02Counting, Addition, and Subtraction | ✓ | ✓ | ✓ | ✓ | ✓ |
| 03Place Value and Measurement | ✓ | ✓ | ✓ | ✓ | ✓ |
| 04Place Value and Geometric Shapes | ✓ | ✓ | ✓ | ✓ | ✓ |
| Coverage | 4/4 | 4/4 | 4/4 | 4/4 | 4/4 |