Common Core: MATH.CONTENT
HSF.BF.B4a
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.
October 1, 2018HSF.BF.B4c
(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.
October 1, 2018HSF.BF.A1c
(+) 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.
October 1, 2018HSA.SSE.A2
Use the structure of an expression to identify ways to rewrite it. For example, see x⁴ – y⁴ as (x²)² – (y²)², thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2).
October 1, 2018HSA.SSE.B3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.*
October 1, 2018HSA.SSE.B3a
Factor a quadratic expression to reveal the zeros of the function it defines.
October 1, 2018HSA.SSE.B3b
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.
October 1, 2018HSA.SSE.B3c
Use the properties of exponents to transform expressions for exponential functions. For example the expression 1.15t can be rewritten as (1.151/12)12t ≈ 1.01212t to reveal the approximate equivalent monthly interest rate if the annual rate is 15%.
October 1, 2018HSA.SSE.B4
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*
October 1, 2018HSA.REI.C5
Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
October 1, 2018