• Math Poster

# Math COMMON CORE Mathematical Practices

MAKE SENSE OF PROBLEMS & PERSEVERE IN SOLVING THEM

• Make meaning of a problem and look for entry points to its solution
• Analyze givens, constraints, relationships, and goals
• Make conjectures about the meaning of the solution
• Develop a plan
• Monitor and evaluate progress and change course if necessary
• Check answers to problems and determine if the answer makes sense

REASON ABSTRACTLY & QUANTITATIVELY

• Make sense of quantities and their relationships
• Represent symbolically (ie: Equations, expressions)
• Manipulate equations (attends to the meaning of the quantities, not just computes them)
• Understand and uses different properties and operations

CONSTRUCT VIABLE ARGUMENTS & CRITIQUE THE REASONING OF OTHERS

• Understand and use definitions in previously established results when justifying results
• Attempts to prove or disprove conjectures through examples and counterexamples
• Communicates and defends their mathematical reasoning using objects, drawings, diagrams, actions, verbal and written communication

MODEL WITH MATHEMATICS

• Solve math problems arising in everyday life
• Apply assumptions and approximations to simplify complicated tasks
• Use tools such as diagrams, two-way tables, graphs, flowcharts and formulas to simplify tasks
• Analyze relationships mathematically to draw conclusions
• Interpret results to determine whether they make sense

USE APPROPRIATE TOOLS STRATEGICALLY

• Decide which tools will be most helpful ie: ruler, calculator, protractor
• Detect possible errors by strategically using estimation and other mathematical knowledge
• Make models that enable visualization of the results and compare predictions with data
• Use technological tools to explore and deepen understanding of concepts

ATTEND TO PRECISION

• Communicate precisely to others
• Use clear definitions in discussion with others
• State the meaning of the symbols consistently and appropriately
• Calculate accurately and efficiently
• Accurately label axes and measures in a problem

LOOK FOR & MAKE USE OF STRUCTURE

• Look closely to determine a pattern or structure
• Step back for an overview and shift perspective
• See complicated things as being composed of single objects or several smaller objects

LOOK FOR & EXPRESS REGULARITY IN REPEATED REASONING

• Identify calculations that repeat
• Look both for general methods and for shortcuts
• Maintain oversight of the process, while attending to the details
• Continually evaluate the reasonableness of results