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Apply number sense with operations and numeric formats
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
use correct operation sense in algebraic expressions
communicate verbally the effects of common operations on numbers
communicate symbolically the effects of common operations on numbers
explain the importance of scientific notation
convert very large numbers from real-world problems to and from scientific notation
convert very small numbers from real-world problems to and from scientific notation
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Apply estimation to evaluate reasonableness and detect errors
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
identify when to estimate results
determine estimation technique for real-world scenarios
use estimation to detect errors
use estimation to check accuracy
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Solve quantitative problems in context
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
apply quantitative reasoning to solve problems involving quantities
apply quantitative reasoning to solve problems involving rates
apply quantitative reasoning to solve problems using formulas
convert between different measurement units
use measurement terms correctly
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Compute statistical measures
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
compute measures of central tendency
use measures of central tendency to represent data
compute mathematical models from data
use mathematical models to represent data
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Analyze graphical data displays
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
read data from graphical displays
interpret data from graphical displays
determine reasonableness of data from display
make decisions based upon data from graphical displays
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Apply proportional reasoning
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
compare ratios represented in different ways
identify proportional relationships from verbal or written representations
identify proportional relationships from numeric representations
solve real-world problems with proportional relationships
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Apply algebraic relationships
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
explain the uses of variables to represent quantities
explain the uses of variables to represent attributes
describe the effect that a change in the value of one variable has on the value of other variables in an algebraic relationship
construct equations to represent relationships involving one or more unknown or variable quantities
construct inequalities to represent relationships involving one or more unknown or variable quantities
use equations to solve problems
use inequalities to solve problems
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Translate between contexts and mathematical models
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
translate a contextual description into a linear mathematical representation
translate a contextual description into an exponential mathematical representation
translate a contextual description into a quadratic mathematical representation
translate mathematical representations back into contextual descriptions
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Evaluate functions and mathematical models
Assessment Strategies
Oral, Written, Graphic and/or Skill Assessment
Criteria
describe the behavior of common types of functions
identify important characteristics of functions in various representations
use appropriate terms and units to describe rate of change
identify when a linear model or trend is reasonable for given data
explore the applicability of other models when a linear model does not appear to be reasonable
explain the limitations of mathematical models