High School: Algebra

HSA.REI.C9

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 x 3 or greater).

October 1, 2018
HSA.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, 2018
HSA.SSE.B3a

Factor a quadratic expression to reveal the zeros of the function it defines.

October 1, 2018
HSA.SSE.B3b

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

October 1, 2018
HSA.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, 2018
HSA.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, 2018
HSA.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
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
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
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