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, 2018HSA.REI.C8
(+) Represent a system of linear equations as a single matrix equation in a vector variable.
October 1, 2018HSA.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, 2018HSA.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, 2018HSA.REI.D12
Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
October 1, 2018HSA.SSE.A1
Interpret expressions that represent a quantity in terms of its context.*
October 1, 2018HSA.SSE.A1a
Interpret parts of an expression, such as terms, factors, and coefficients.
October 1, 2018HSA.SSE.A1b
Interpret complicated expressions by viewing one or more of their parts as a single entity. For example, interpret P(1+r)n as the product of P and a factor not depending on P.
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, 2018