Mathematics: Communication

• Standard 1: Problem Solving
• Standard 3: Reasoning
• Standard 4: Connections
• Standard 5: Estimation & Computation
• Standard 6: Numeration & Number Theory
• Standard 7: Geometry
• Standard 8: Measurement
• Standard 9: Statistics
• Standard 10: Probability
• Standard 11: Algebra
• Standard 12: Patterns, Relations, Functions
• Introduction to Mathematics
• Table of Contents - All Standards

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Content Standard: Communication

Students will use oral and written language, including graphic images and symbols, to clarify and communicate mathematical thinking.

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Fourth Grade Performance Standards: Communication

By the end of grade Four, students will:

Use reasoning abilities to

• perceive patterns
• identify relationships
• formulate questions for further exploration
• justify strategies
• test reasonableness of results

Communicate mathematical ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams, and models

Connect mathematical learning with other subjects, personal experiences, current events, and personal interests

• see relationships between various kinds of problems and actual events
• use mathematics as a way to understand other areas of the curriculum (e.g., measurement in science, map skills in social studies)

Use appropriate mathematical vocabulary, symbols, and notation with understanding based on prior conceptual work

Explain solutions to problems clearly and logically in oral and written work and support solutions with evidence

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Eighth Grade Performance Standards: Communication

By the end of grade Eight, students will:

Use reasoning abilities to

• evaluate information
• perceive patterns
• identify relationships
• formulate questions for further exploration
• evaluate strategies
• justify statements
• test reasonableness of results
• defend work

Communicate logical arguments clearly to show why a result makes sense

Analyze non-routine problems by modeling, illustrating, guessing, simplifying, generalizing, shifting to another point of view, etc.

Develop effective oral and written presentations that include

• appropriate use of technology
• the conventions of mathematical discourse (e.g., symbols, definitions, labeled drawings)
• mathematical language
• clear organization of ideas and procedures
• understanding of purpose and audience

Explain mathematical concepts, procedures, and ideas to others who may not be familiar with them

Read and understand mathematical texts and other instructional materials and recognize mathematical ideas as they appear in other contexts

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Grade Level Performance Standards: Grade Six: Communication

The student will:

Justify mathematical processes in oral and written form, using mathematical terminology.

Use technology to store, retrieve and communicate information.

Justify answers and problem solving techniques through discussion with peers.

Record mathematical thinking in journals or portfolios.

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Grade Level Performance Standards: Grade Seven: Communication

The student will:

Justify solutions to mathematics problems in group discussions.

Explain, make conjectures and defend mathematical ideas.

Use technology to store, retrieve and communicate mathematical information.

Record mathematical thinking in journals and portfolios.

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Grade Level Performance Standards: Grade Eight: Communication

The student will:

Use mathematical vocabulary to communicate concepts and interpret information from graphs, diagrams or charts.

Justify solutions to mathematical problems through a group project and/or presentation.

Use technology to store, retrieve and communicate complex mathematical information.

Record mathematical thinking in journals or portfolios.

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Twelfth Grade Performance Standards: Communication

By the end of grade Twelve, students will:

Use reason and logic to

• evaluate information
• perceive patterns
• identify relationships
• formulate questions, pose problems, and make and test conjectures
• pursue ideas that lead to further understanding and deeper insight

Communicate logical arguments and clearly show

• why a result does or does not make sense
• why the reasoning is or is not valid
• an understanding of the difference between examples that support a conjecture and a proof of the conjecture

Analyze non-routine problems and arrive at solutions by various means, including models and simulations, often starting with provisional conjectures and progressing, directly or indirectly, to a solution, justification, or counter-example

Develop effective oral and written presentations employing correct mathematical terminology, notation, symbols, and conventions for mathematical arguments and display of data

Organize work and present mathematical procedures and results clearly, systematically, succinctly, and correctly

Read and understand

• mathematical texts and other instructional materials
• writing about mathematics (e.g., articles in journals)mathematical ideas as they are used in other contexts

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