KCOE Math Survey

Standards for Mathematical Practice Survey

Using the ranking scale below, please assess to what degree your students do the following during math instruction:
1 = 1-2 times per month
2 = 1-2 times per week
3 = 3-4 times per week
4 = 4-5 times per week
5 = within every lesson

Area: Making sense of problems and persevere in solving them.

Explain a problem to themselves, determine what it means, and seek possible entry points. *

Analyze what’s given, constraints, relationships, and goals? *

Make conjectures about what the solution might look like? *

Plan a solution pathway instead of jumping into a solution? *

Use multiple representations (verbal descriptions, symbolic, tables, graphs, diagrams, etc..)? Check their answers using different methods? *

Continually ask “Does this make sense?” *

Understand the approaches of others and identify correspondences between different approaches? *

Area: Reason abstractly and quantitatively.

sense of quantities and their relationships in problem situations? *

Decontextualize a problem? *

Contextualize a problem? *

Create a coherent representation of the problem, consider the units involved, and attend to the meaning of quantities. *

Area: Construct viable arguments and critique the reasoning of others.

Understand and use stated assumptions, definition, and previous results? *

Make conjectures and build a logical progression of statements to explore the truth of their conjectures? *

Analyze situations and recognize and use counter examples? *

Justify their conclusions, communicate them to others and respond to arguments of others? *

Compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and articulate the flaw? *

Hear or read arguments of others and decide whether they make sense, and ask useful questions to clarify or improve the argument? *

Use mathematical induction as a technique for proof? *

Write geometric proofs, including proofs by contradiction? *

Area: Model with mathematics.

Apply the mathematics they know to solve problems in everyday life? *

Apply what they know and make assumptions and approximations to simplify a complicated situation as an initial approach? *

Identify important quantities in a practical situation? *

Analyze relationships mathematically to draw conclusions? *

Interpret their mathematical results in the context of the situation and reflect on whether the results make sense? *

Area: Use appropriate tools strategically.

Consider the available tools when solving mathematical problems? *

Know the tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful? *

Identify relevant external mathematical resources and use them to pose or solve problems? *

Use technological tools to explore and deepen their understanding of concepts? *

Area: Attend to precision.

Communicate precisely to others? *

Use clear definitions? *

Use the equal sign consistently and appropriately? *

Calculate accurately and efficiently? *

Area: Look for and make use of structure.

Look closely to determine a pattern or structure? *

Utilize properties? *

Decompose and recombine numbers and expressions? *

Have the facility to shift perspectives? *

Area: Look for and express regularity in repeated reasoning.

Notice if calculations are repeated, and look both for general methods and for shortcuts? *

Maintain oversight of the process while attending to the details? *

Continually evaluate the reasonableness of their intermediate results? *

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