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ATTRIBUTES

*Students should possess the following general attributes or characteristics in order to be successful in college-level courses.

ATTRIBUTE A:
Take responsibility for their own learning.

1. Examine and self-correct their own work

2. Reflect on the techniques used to do the problem and on their presentation

3. Take responsibility for consequences of choices/actions

4. Accurately assess and monitor strengths and weaknesses

5. Work independently

6. Attend class regularly

7. Utilize tutoring services and faculty office hours

Attribute A - Feedback

 

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ATTRIBUTE B:
Persevere when faced with time-consuming or complex tasks.

1. Do multi-step complex problems.

2. Use multiple approaches to solve a problem.

3. Are willing to try a second path when the first path doesn’t work out.

4. Combine a variety of techniques to solve problems

Attribute B - Feedback

 

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ATTRIBUTE C:
Notice and attend to details.

1. Notice and retain symbols in mathematical work

2. Notice patterns

Attribute C - Feedback

 

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ATTRIBUTE D:
Display intellectual curiosity.

1. Pose questions that reveal engagement with the material

2. Investigate beyond questions posed

3. Willing to take risks, be challenged

Attribute D - Feedback

 

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ATTRIBUTE E:
Contribute to and benefit from group problem-solving activities.

1. Are respectful of others

2. Are cooperative

3. Builds on others’ ideas

Attribute E - Feedback

 

STANDARDS


STANDARD A:
Solve mathematical problems and reason logically.


1. Formulate problems; select or provide relevant information; use mathematical concepts, models and representations.

2. Consider and choose among various strategies, algorithms, models, and concepts to devise and carry out solutions.

3. Evaluate processes, strategies, calculations, and solutions to verify reasonableness of solutions.

4. Use deductive and inductive approaches, estimation, extensions, generalizations, and formal and informal methods of proof to justify your solutions.

5. Use appropriate mathematical tools including various forms of technology to solve problems.

Standard A - Feedback

 

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STANDARD B:
Communicate mathematical understanding in everyday and mathematical language.

1. Produce a convincing argument to support a solution, using everyday and mathematical language.

2. Use symbols, diagrams, or words to clearly communicate reasoning processes, solutions, ideas, and conclusions.


Standard B - Feedback

 

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STANDARD C:
Make connections within mathematics, to other subject areas, and to real-world situations.

1. Analyze the relationships between and among mathematical concepts and procedures.

2. Extend mathematical thinking and modeling to other disciplines and real-life situations.

Standard C - Feedback

 

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STANDARD D:
Select and use concepts and procedures from number sense.

1. Understand the concept of real numbers, including the meaning of rational exponents.

2. Understand the properties of operations on the real number system.

3. Compute fluently with real numbers in all forms including rational number exponents and scientific notation.

4. Apply estimation strategies using real numbers.

Standard D - Feedback

 

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STANDARD E:
Select and use geometric concepts and models.

1. Use drawings, models, Cartesian coordinate systems (two- and three-dimensional), spatial reasoning, and deductive/inductive reasoning to solve problems involving geometric figures.

2. Understand and apply congruence, similarity, ratio, and proportions in problem-solving situations.

3. Apply the three basic right triangle trigonometric relationships as ratios of sides of a right triangle to solve problems.

Standard E - Feedback

 

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STANDARD F:
Select and use concepts and procedures from algebra.

1. Solve the following numerically, graphically, and algebraically, interpret the solution, and distinguish between exact and approximate answers:

A. Linear equations

B. Linear inequalities including those using “and” and “or”

C. Quadratic equations (including irrational and complex number solutions)

D. Absolute value equations of the form |ax+b|=c

E. Exponential equations, graphically and numerically only.

F. Radical equations with one radical only.

E. Systems of equations and inequalities in two variables

2. Evaluate algebraic expressions (polynomials, rational, absolute value, radical) for given numerical values of variables.

3. Combine and simplify algebraic expressions including

A. polynomials

B. rational expressions

C. radical expressions

D. rational exponents

Standard F - Feedback

 

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STANDARD G:
Select and use functions to understand mathematical relationships.

1. Understand and analyze features of a function and limitations on the domain of a function.

2. Represent functions (linear, quadratic, exponential, and reciprocal) using and translating among words, tables, graphs, and symbols.

3. Model situations and relationships using a variety of functions (linear, quadratic, exponential, and reciprocal).

Standard G - Feedback

 

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STANDARD H:
Select and use concepts and procedures from probability and statistics to analyze data.

1. Use empirical and theoretical probability to represent, solve and interpret solutions of problems involving uncertainty, including conditional probabilities, independence and counting techniques (combinations and permutations)

2. Use measures of central tendency and spread to analyze and interpret data, draw inferences, make predictions, and justify conclusions

3. Create and explore mathematical models from data including linear, quadratic and exponential relationships. From these models, be able to make conjectures, predictions, and justify conclusions.

Standard H - Feedback

 

Additional Expectations (for students considering math/science majors or whose first college math class will be calculus):

 

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STANDARD I:
Represent, Analyze, and Use Advanced Functions (including trigonometric functions in the context of the unit circle, logarithmic, general polynomial, and rational):

A. Simplify expressions

B. Solve equations

C. Model situations and solve problems

Standard I - Feedback

 

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