8 Mathmatical Practices

Common Core Standards brings to us: The 8 Standards for Mathematical Practice that are being using K-5. These practices place an emphasis on student demonstrations of learning…

1. Make sense of problem solving and persevere in solving them

• make meaning and look for starting points to its solution
• analyze what is given and the goal of the problem
• develop a plan
• monitor and evaluate progress and change course if necessary
• check answers to problems and determine if the answers make sense

2. Reason abstractly and quantitatively

• make sense of quantities and their relationship
• represent symbolically (equations and expressions)
• manipulate equations
• understands and uses different properties and operations

3. Construct viable arguments and critique the reasoning of others

• understand and use definitions previously taught when justifying results
• attempts to prove or disprove answers through examples and counter examples
• communicates and defends their math reasoning using objects, drawings, diagrams, actions, verbal, and written communication

4. Model with mathematics

• can solve everyday problems
• can 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
• can interpret results to determine whether they make sense

5. Use appropriate tools strategically

• can decide which tools will be most helpful (ruler, calculator, protractor)
• can detect possible errors by using estimation and other math knowledge
• can make models that enable visualization of the results and compare predictions with data
• can use technology tools to explore and deepens their understanding of concepts

6. Attend to precision

• can communicate precisely to others
• can use clear definitions in discussions with others
• can state the meaning of symbols consistently and appropriately
• can calculate accurately and efficiently

7. Look for and make use of structure

• can look closely to determine a pattern
• can step back for an overview and shift perspective
• can see complicated things as being composed of single objects or several small objects

8. Look for and express regularity in repeated reasoning

• can identify calculations that repeat
• can look both for general methods and for shortcuts
• can maintain oversight of the process, while attending to the details
• can continually evaluate the reasonableness of results.