4.G.3

Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint.

I Can Statements Academic Vocabulary

*I can show that angles are shapes which are made when two rays have the same endpoint.

Angle
Ray
Vertex
Endpoint
Looking Back Looking Ahead

*Identify, describe and draw points, lines and line segments. (MA.3.G.3)

*Identify, describe and draw triangles and circles using appropriate tools. (MA.5.G.1)
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 Geometry Strategies and Examples

Use of manipulatives
  • Tangrams
  • Putty/clay/play dough
  • Examples of 2D and 3D shape
  • Real world examples of shapes
  • Fraction bars/circles

Tracing shapes
  • Make your own shape
  • Grid paper

Visual cues
  • Real world examples of shapes
  • Models of complex/decomposed shapes

Scaffolded resources
  • Formula reference sheet

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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