To Think
Examine carefully, take apart mathematically, and break down into components or essential characteristics to identify causes, key factors, and possible results.
Analyze
Illustrate their thinking or justifications through verbal (oral or written) statements that may reference a drawing/diagram/model.
Describe
Use mathematical knowledge in a variety of situations.
Apply
Create a picture, diagram or model to illustrate a mathematical concept.
Make
Determine an answer.
Calculate
Having a firm mathematical understanding through awareness of situations, facts, information, and skills.
Know
Provide verbal (oral or written) evidence to support a conclusion or solution.
Explain
Apply designated processes, strategies or mathematical concepts.
Use
Represent requires students to communicate a mathematical concept through pictures, diagrams, models, symbols, or algebraic notation.
Represent
Changing the form (e.g. measurement, different units) without a change in the size or amount.
Convert
Identify mathematical concepts based on previous facts or knowledge.
Recognize
Change an amount or quantity into a different form.
Express
Show evidence and/or steps that illustrate the mathematics leading to a solution or conclusion. Note: Words are acceptable but not necessary.
Justify
Show using a narrative (oral or written), modeling (including pictures, diagrams or technology), algebraic work or any mathematically appropriate method that clearly communicates the steps leading to the solution or conclusion needed.
Demonstrate
Find the value of a mathematical expression
Evaluate
Grasp sufficient knowledge of a mathematical concept in order to explain or apply it.
Understand
Give an answer without calculations or underlying work.
State
Utilize current or specified knowledge to formulate a “new” theorem, formula or relationship.
Derive
Form or make something (numbers, functions, sets, etc.) by combining parts.
Compose
Demonstrate that an argument is universally true where each step and conclusion must be supported by evidence and/or reasoning. This can be shown through a variety of strategies.
Prove
Learn the concept in the standard through a variety of instructional activities. Repeated experiences with these concepts, with immersion in the concrete, are vital.
Explore
Clearly articulate or describe mathematical properties or procedures.
Specify
Recognize a mathematical concept using prior knowledge.
Identify
Create something by the application of one or more mathematical rules or operations.
Generate
Find the answer to specified problem.
Solve