4.C.7

Show how the order in which two numbers are multiplied (commutative property) and how numbers are grouped in multiplication (associative property) will not change the product. Use these properties to show that numbers can be multiplied in any order. Understand and use the distributive property.

I Can Statements Academic Vocabulary

*I can show that multiplying numbers in any order will produce the same product.

*I can show that grouping numbers in any order and then multiplying them will produce the same product.

*I can use and explain the distributive property.

Commutative Property of Multiplication
Associative Property of Multiplication
Distributive Property
Looking Back Looking Ahead

*Show that the order in which two numbers are added and how the numbers are grouped in addition will not change the sum. (MA.2.CA.6)

*Represent the concept of multiplication of whole numbers with the following models: equal-sized groups, arrays, area models, and equal "jumps" on a number line. Understand the properties of 0 and 1 in multiplication. (MA.3.C.2)

*Evaluate expressions with parentheses or brackets involving whole numbers using the commutative properties of addition and multiplication, associative properties of addition and multiplication, and distributive property.
(MA.5.C.9)
Clarifying Examples and Digital Resources
Click here for clarifying examples and digital resources aligned to Indiana standards. These are intended to expand each standard to support instruction in the classroom as evidenced by the Eight Mathematics Teaching Practices put forth by the National Council of Teachers of Mathematics (NCTM).

Universal Strategies for Struggling Mathematicians

The following recommendations are strategies designed to support the standards and curriculum you are currently using. These best practices will assist educators in adapting instruction to ensure that you are creating engaging and rigorous opportunities for all students.

3-5 Computation Strategies and Examples

Tracing equations
  • Sand
  • Template on paper
  • Highlighter

Fact families
  • Triangles
  • Color coded
  • Manipulatives-break apart into groups
  • Colored chips

Multiple methods of delivery
  • Lattice multiplication
  • Box multiplication
  • Box division
  • Partial products
  • Partial quotients

English Learner Considerations

The English Learner considerations, which were written by Indiana EL teachers, are meant to increase engagement and support growth for English Learners. They are designed to support the standards and curriculum you are currently using. The following are recommendations of best practices to assist educators in making language more accessible for English Learners. Educators should adapt strategies based upon a student’s proficiency level and ensure that content is age-appropriate.

Beginning
  • Allow use of a bilingual dictionary and native language to facilitate understanding
  • Pre-teach important words and concepts
  • Explicitly teach content vocabulary using visuals
  • Use and reference a Math Word Wall with visuals and symbols
  • Build background and reference prior learning; use cognates when appropriate
  • Use real-world/ relevant examples to facilitate Math learning
  • Use of manipulatives with visuals for instruction and procedures
  • Use different grouping strategies to maximize learning, collaboration, and oral language practice
  • Implement Modeling techniques such as: I do, We do, You do
  • Provide sentence frames and a word bank
  • Use gestures and signaling to make content comprehensible
  • Simplify dense language
  • Instructionally and procedurally allow students to use graphic organizers with visual support
Intermediate
  • Allow use of a bilingual dictionary and native language to facilitate understanding
  • Pre-teach important words and concepts
  • Explicitly teach content vocabulary using visuals
  • Use and reference a Math Word Wall
  • Build background and reference prior learning; use cognates when appropriate
  • Use real-world/ relevant examples to make connections
  • Use of manipulatives with visuals for instruction and procedures
  • Use different grouping strategies to maximize learning, collaboration, and oral language practice
  • Implement Modeling techniques such as: I do, We do, You do
  • Provide sentence frames and a word bank
  • Instructionally and procedurally allow students to use graphic organizers with visual support
Advanced
  • Use different grouping strategies to maximize learning, collaboration, and oral language practice
  • Implement Modeling techniques such as: I do, We do, You do
  • Explicitly teach content vocabulary using visuals
  • Build background and reference prior learning; use cognates when appropriate

Special Education Considerations

The Special Education considerations, which were written by Indiana special education teachers, are meant to increase engagement and support growth for students in special education. This is not an exhaustive list of strategies, but these supports will help you make math instruction more accessible for students. Educators should adapt strategies to the needs of your students and ensure that you are creating opportunities for all students to engage with rigorous content.

Universal Strategies for Struggling Learners

Use of manipulatives
  • Cubes
  • Anything tangible which can be manipulated
  • Number cards
  • Hundreds or 120 chart 
  • Building own book up through 1000
  • Straws-bundling
  • Fraction bars/circles

Model/Drawing a picture
  • 1 to 1 correspondence of number to object (object representation)
  • 10 frames
  • Place value blocks
  • Identify a set/groups
  • Teacher modeling-think alouds-repeated

Scaffolded resources
  • Premade notes with fill-in-the-blanks
  • Premade charts with fill-in-the-blanks
  • Premade number line with fill-in-the-blanks
  • Formula reference sheet

Daily reinforcement
  • Calendar time (as appropriate)
  • Community circle/morning meeting

Flash cards
  • Folding facts known with unknown facts

Engaging touchpoints
  • TouchStrip 
  • TouchPoints

Visual cues
  • Posters with vocabulary
  • Picture dictionary

Multiple Methods of Delivery
  • Number Lines
  • Modeling
  • Showing Thinking

Please provide feedback on this draft.

 

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