## Mathematical Practices

*The Standards for Mathematical Practice describe the behaviors of a proficient mathematician.*

The "practices" describe varieties of expertise that we seek to develop in students during 4th grade math.

The "practices" describe varieties of expertise that we seek to develop in students during 4th grade math.

**Practice #1: Make Sense of Problems and Persevere In Solving Them**

**Students:**

Actively engage in problem solving (Develop, carry out, and refine a plan)

Show patience and positive attitudes

Ask if their answers make sense

Check their answers with a different method

**Because Teachers:**

Provide wait-time for processing/finding solutions

Circulate to pose probing questions and monitor student progress

Provide opportunities and time for cooperative problem solving and reciprocal teaching

**Practice #2: Reason Abstractly and Quantitatively**

**Students:**

Explain their thinking

Use numbers flexibly by applying properties of operations and place value

Examine the reasonableness of their answers/calculations

**Because Teachers:**

Highlight flexible use of numbers

Facilitate discussion through guided questions and representations

Accept varied solutions/representations

**Practice #3: Construct Viable Arguments and Critique the Reasoning of Others**

**Students:**

Justify solutions and approaches

Listen to the reasoning of others, compare arguments, and decide if the arguments of others makes sense

Ask clarifying and probing questions

**Because Teachers:**

Establish and facilitate a safe environment for discussion

Ask clarifying and probing questions

Avoid giving too much assistance (e.g., providing answers or procedures)

**Practice #4: Model with Mathematics**

**Students:**

Use representations to solve real life problems

Apply formulas and equations where appropriate

**Because Teachers:**

Provide a variety of real world contexts

Use intentional representations

**Practice #5: Use Appropriate Tools Strategically**

**Students:**

Use technological tools and resources to solve problems and deepen understanding

**Because Teachers:**

Use tools with their instruction

**Practice #6: Attend to Precision**

**Students:**

Explain their thinking using mathematics vocabulary

Use appropriate symbols and specify units of measure

**Because Teachers:**

Use (and challenge students to use) mathematics vocabulary precisely and consistently

**Practice #7: Look For and Make Use of Structure**

**Students:**

Apply reasonable thoughts about patterns and properties to new situations

**Because Teachers:**

Ask questions about the application of patterns

Highlight different approaches for solving problems

**Practice #8: Look For and Express Regularity in Repeated Reasoning**

**Students:**

Evaluate the reasonableness of results and solutions

**Because Teachers:**

Ask about answers before and reasonableness after computations

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