Grade 3 Commutative Property — Printable Math Glossary

This Grade 3 math glossary worksheet helps English language learners master essential multiplication vocabulary. Students build conceptual understanding of the commutative property by connecting key terms to visual models and definitions. This resource prepares students to explain mathematical reasoning during core instruction.

At a Glance

• Grade: Grade 3 · Subject: Math
• Standard: CCSS.MATH.CONTENT.3.OA.B.5 — Apply properties of operations as strategies to multiply
• Skill Focus: Multiplication vocabulary and visual models
• Format: 1 page · 6 terms · Reference sheet · PDF
• Best For: EL support and math vocabulary introduction
• Time: 10–15 minutes

This single-page reference tool features six critical vocabulary terms: arrange, array, column, factor, product, and row. Each term is paired with a student-friendly definition and a clear visual diagram illustrating the concept. A blank fourth column provides space for students to write translations, draw personal examples, or write practice sentences.

This resource requires zero teacher preparation. First, print the single-page PDF for your class, which takes less than one minute. Second, distribute the sheet to students at the start of your multiplication unit to establish a shared vocabulary. Finally, review the terms together in five minutes, allowing students to fill in the blank column with notes or native language translations.

Standards Alignment

This worksheet directly supports CCSS.MATH.CONTENT.3.OA.B.5, which requires students to apply properties of operations as strategies to multiply and divide. By mastering foundational terms like row, column, and array, students develop the linguistic scaffolding necessary to explain the commutative property. Both standard codes can be copied directly into lesson plans, IEP goals, or district curriculum mapping tools.

How to Use It

Use this glossary during the introduction phase of your multiplication unit. Introduce the sheet before direct instruction to pre-teach vocabulary to English language learners and struggling readers. During guided practice, have students refer to the visual models to identify factors and products in equations. Expect students to complete their personal notes in the blank column within 10 to 15 minutes.

Who It's For

This worksheet is designed for third-grade students, particularly English language learners requiring language support. It serves as an excellent accommodation for students with IEPs or those needing visual aids. Pair this glossary with a hands-on counter activity or a direct instruction lesson on arrays to reinforce the connection between vocabulary and physical math models.

This vocabulary reference sheet aligns with research from Fisher & Frey (2014) on the importance of structured academic language instruction in mathematics. Explicitly teaching terms like factor, product, and array helps students transition from informal language to formal mathematical discourse. By pairing definitions with visual representations, the worksheet reduces cognitive load and supports dual-coding theory. This resource targets CCSS.MATH.CONTENT.3.OA.B.5 by ensuring students possess the vocabulary needed to describe operations. The inclusion of a blank column allows for personalized interactive note-taking, which has been shown to improve retention of technical terms. Teachers can utilize this tool as a permanent reference in math journals throughout the school year, facilitating ongoing review and reinforcement of core multiplication concepts during independent practice.