Common Core State

HSF.BF.B4b

(+) Verify by composition that one function is the inverse of another.

October 1, 2018
HSF.BF.B4c

(+) Read values of an inverse function from a graph or a table, given that the function has an inverse.

October 1, 2018
HSF.BF.B4d

(+) Produce an invertible function from a non-invertible function by restricting the domain.

October 1, 2018
HSF.BF.B5

(+) Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.

October 1, 2018
HSF.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, 2018
HSA.REI.C6

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

October 1, 2018
HSF.BF.A1a

Determine an explicit expression, a recursive process, or steps for calculation from a context.

October 1, 2018
HSA.REI.C7

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3x and the circle x2 + y2 = 3.

October 1, 2018
HSF.BF.A1b

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.

October 1, 2018
HSA.REI.C8

(+) Represent a system of linear equations as a single matrix equation in a vector variable.

October 1, 2018
HSA.REI.D10

Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).

October 1, 2018
HSA.REI.D11

Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) … Read More “HSA.REI.D11”

October 1, 2018