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- Common Core MathK - 8High School
Functions: Linear, Quadratic, and Exponential Models
550 questions30 skills
Functions: Linear, Quadratic, and Exponential Models
550 questions30 skills
HSF-LE.A.1
80 questions4 skills
Distinguish between situations that can be modeled with linear functions and with exponential functions.
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Skills for this standard are coming soon.
HSF-LE.A.1b
80 questions4 skills
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
HSF-LE.A.1c
96 questions5 skills
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
HSF-LE.A.2
327 questions18 skills
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Point-slope form
Exponential functions from tables & graphs
Recursive formulas for arithmetic sequences
Writing linear equations word problems
Writing functions with exponential decay
Slope-intercept from two points
Horizontal & vertical lines
Recursive formulas for geometric sequences
Slope from graph
Explicit formulas for geometric sequences
Linear models word problems
Slope-intercept equation from graph
Sequences word problems
Linear equations in any form
Exponential expressions word problems (algebraic)
Explicit formulas for arithmetic sequences
Construct exponential models
Linear vs. exponential growth: from data
HSF-LE.A.3
13 questions1 skill
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.
HSF-LE.A.4
24 questions1 skill
For exponential models, express as a logarithm the solution to abct = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology.
HSF-LE.B.5
150 questions8 skills
Interpret the parameters in a linear or exponential function in terms of a context.
Linear equations word problems
Comparing linear functions word problems
Linear models word problems
Interpret time in exponential models
Interpret change in exponential models: changing units
Interpret change in exponential models: with manipulation
Interpret change in exponential models
Interpret exponential expressions word problems