1ALG.15.0 Students apply algebraic techniques to solve rate problems, work problems, and percent mixture problems.
1ALG.16.0 Students understand the concepts of a relation and a function, determine whether a given relation defines a function, and give pertinent information about given relations and functions.
1ALG.17.0 Students determine the domain of independent variables and the range of dependent variables defined by a graph, a set of ordered pairs, or a symbolic expression.
1ALG.18.0 Students determine whether a relation defined by a graph, a set of ordered pairs, or a symbolic expression is a function and justify the conclusion.
1ALG.19.0 Students know the quadratic formula and are familiar with its proof by completing the square.
1ALG.20.0 Students use the quadratic formula to find the roots of a second-degree polynomial and to solve quadratic equations.
1ALG.21.0 Students graph quadratic functions and know that their roots are the x- intercepts.
1ALG.22.0 Students use the quadratic formula or factoring techniques or both to determine whether the graph of a quadratic function will intersect the x-axis in zero, one, or two points.
1ALG.23.0 Students apply quadratic equations to physical problems, such as the motion of an object under the force of gravity.
1ALG.24.0 Students use and know simple aspects of a logical argument.
1ALG.25.0 Students use properties of the number system to judge the validity of results, to justify each step of a procedure, and to prove or disprove statements.