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9.NNR
Number and Number Relations
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9.1
Identify and describe differences among natural numbers, whole numbers, integers, rational numbers, and irrational numbers
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9.2
Evaluate and write numerical expressions involving integer exponents
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9.3
Apply scientific notation to perform computations, solve problems, and write representations of numbers
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9.4
Distinguish between an exact and an approximate answer, and recognize errors introduced by the use of approximate numbers with technology
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9.5
Demonstrate computational fluency with all rational numbers (e.g., estimation, mental math, technology, paper/pencil)
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9.6
Simplify and perform basic operations on numerical expressions involving radicals (e.g., 2 x the square root of 3 + 5 x the square root of 3 = 7 x the square root of 3)
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9.7
Use proportional reasoning to model and solve real-life problems involving direct and inverse variation
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9.ALG
Algebra
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9.8
Use order of operations to simplify or rewrite variable expressions
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9.9
Model real-life situations using linear expressions, equations, and inequalities
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9.1
Identify independent and dependent variables in real-life relationships
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9.11
Use equivalent forms of equations and inequalities to solve real-life problems
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9.12
Evaluate polynomial expressions for given values of the variable
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9.13
Translate between the characteristics defining a line (i.e., slope, intercepts, points) and both its equation and graph
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9.14
Graph and interpret linear inequalities in one or two variables and systems of linear inequalities
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9.15
Translate among tabular, graphical, and algebraic representations of functions and real-life situations
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9.16
Interpret and solve systems of linear equations using graphing, substitution, elimination, with and without technology, and matrices using technology
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9.MEA
Measurement
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9.17
Distinguish between precision and accuracy
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9.18
Demonstrate and explain how the scale of a measuring instrument determines the precision of that instrument
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9.19
Use significant digits in computational problems
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9.2
Demonstrate and explain how relative measurement error is compounded when determining absolute error
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9.21
Determine appropriate units and scales to use when solving measurement problems
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9.22
Solve problems using indirect measurement
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9.GEO
Geometry
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9.23
Use coordinate methods to solve and interpret problems (e.g., slope as rate of change, intercept as initial value, intersection as common solution, midpoint as equidistant)
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9.24
Graph a line when the slope and a point or when two points are known
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9.25
Explain slope as a representation of "rate of change"
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9.26
Perform translations and line reflections on the coordinate plane
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9.DAPDM
Data Analysis, Probability, and Discrete Math
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9.27
Determine the most appropriate measure of central tendency for a set of data based on its distribution
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9.28
Identify trends in data and support conclusions by using distribution characteristics such as patterns, clusters, and outliers
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9.29
Create a scatter plot from a set of data and determine if the relationship is linear or nonlinear
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9.3
Use simulations to estimate probabilities
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9.31
Define probability in terms of sample spaces, outcomes, and events
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9.32
Compute probabilities using geometric models and basic counting techniques such as combinations and permutations
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9.33
Explain the relationship between the probability of an event occurring, and the odds of an event occurring and compute one given the other
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9.34
Follow and interpret processes expressed in flow charts
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9.PRF
Patterns, Relations, and Functions
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9.35
Determine if a relation is a function and use appropriate function notation
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9.36
Identify the domain and range of functions
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9.37
Analyze real-life relationships that can be modeled by linear functions
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9.38
Identify and describe the characteristics of families of linear functions, with and without technology
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9.39
Compare and contrast linear functions algebraically in terms of their rates of change and intercepts
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9.4
Explain how the graph of a linear function changes as the coefficients or constants are changed in the function's symbolic representation
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