Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
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) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
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) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.
Empiecen con las tarjetas de gráfica y déjenlas boca arriba. Por turnos, con su compañero, digan estas tres cosas de cada gráfica:
pendiente
intersección con el eje
intersección con el eje
Para cada gráfica que escoja tu compañero, mira si estás de acuerdo con lo que pensó tu compañero. Si están de acuerdo, escriban las respuestas. Si están en desacuerdo, discutan sus ideas y trabajen para llegar a un acuerdo.
Repartan las tarjetas de ecuación y déjenlas boca arriba. Dejen las tarjetas de gráfica también boca arriba. Por turnos, con su compañero, emparejen cada gráfica con una ecuación.
Escoge una pareja y explícale a tu compañero cómo sabes que esa gráfica y esa ecuación van juntas.
Para cada pareja que escoja tu compañero, escucha con atención su explicación. Si están en desacuerdo, discutan sus ideas y trabajen para llegar a un acuerdo.
11.3
Activity
Partes de las ecuaciones lineales
Standards Alignment
Building On
Addressing
8.F.4
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
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.
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.