determine whether or not given situations can be represented by linear functions;
determine the domain and range for linear functions in given situations; and
use, translate, and make connections among algebraic, tabular, graphical, or verbal descriptions of linear functions.
develop the concept of slope as rate of change and determine slopes from graphs, tables, and algebraic representations;
interpret the meaning of slope and intercepts in situations using data, symbolic representations, or graphs;
investigate, describe, and predict the effects of changes in m and b on the graph of y = mx + b;
graph and write equations of lines given characteristics such as two points, a point and a slope, or a slope and y-intercept;
determine the intercepts of the graphs of linear functions and zeros of linear functions from graphs, tables, and algebraic representations;
interpret and predict the effects of changing slope and y-intercept in applied situations; and
relate direct variation to linear functions and solve problems involving proportional change.
analyze situations involving linear functions and formulate linear equations or inequalities to solve problems;
investigate methods for solving linear equations and inequalities using concrete models, graphs, and the properties of equality, select a method, and solve the equations and inequalities; and
interpret and determine the reasonableness of solutions to linear equations and inequalities.
analyze situations and formulate systems of linear equations in two unknowns to solve problems;
solve systems of linear equations using concrete models, graphs, tables, and algebraic methods; and
interpret and determine the reasonableness of solutions to systems of linear equations.
determine the domain and range for quadratic functions in given situations;
investigate, describe, and predict the effects of changes in a on the graph of y = ax² + c;
investigate, describe, and predict the effects of changes in c on the graph of y = ax² + c; and
analyze graphs of quadratic functions and draw conclusions.
solve quadratic equations using concrete models, tables, graphs, and algebraic methods; and
make connections among the solutions (roots) of quadratic equations, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
use patterns to generate the laws of exponents and apply them in problem-solving situations;
analyze data and represent situations involving inverse variation using concrete models, tables, graphs, or algebraic methods; and
analyze data and represent situations involving exponential growth and decay using concrete models, tables, graphs, or algebraic methods.