High School: Algebra
HSA.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.CED.A3
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.
October 1, 2018HSA.CED.A4
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.
October 1, 2018HSA.REI.A1
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
October 1, 2018HSA.REI.A2
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
October 1, 2018HSA.REI.B3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
October 1, 2018HSA.REI.B4a
Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)² = q that has the same solutions. Derive the quadratic formula from this form.
October 1, 2018