Building Functions
- Build A Function That Models A Relationship Between Two Quantities
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F.BF.1Write a function that describes a re...more
Write a function that describes a relationship between two quantities.
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F.BF.1.aDetermine an explicit expression, a ...more
Determine an explicit expression, a recursive process, or steps for calculation from a context.
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F.BF.1.bCombine standard function types usin...more
Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.
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F.BF.1.c(+) Compose functions. For example, ...more
(+) Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
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F.BF.2Write arithmetic and geometric seque...more
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.★
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- Build New Functions From Existing Functions
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F.BF.3Identify the effect on the graph of ...more
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.
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F.BF.4Find inverse functions....more
Find inverse functions.
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F.BF.4.aSolve an equation of the form f(x) =...more
Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1.
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F.BF.4.b(+) Verify by composition that one f...more
(+) Verify by composition that one function is the inverse of another.
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F.BF.4.c(+) Read values of an inverse functi...more
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
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F.BF.4.d(+) Produce an invertible function f...more
(+) Produce an invertible function from a non-invertible function by restricting the domain.
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F.BF.5(+) Understand the inverse relations...more
(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.
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Major cluster will be a majority of the assessment, Supporting clusters will be assessed through their success at supporting the Major Clusters and Additional Clusters will be assessed as well. The assessments will strongly focus where the standards strongly focus.
Grade level
- K-2
- 3-5
- 6-8
- 9-12
- math_attach
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