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Estas son cuatro desigualdades. Con su grupo, para cada desigualdad que se les asignó:
Display the inequalities
Make sure that students understand why all three coordinate pairs are solutions to
Ask students to predict which graph represents which inequality. Consider polling the class on their predictions.
Explain that the solid line is a way to say that all the points on that line (
Because the solutions to
Tell students that they will now sketch the solutions of some other inequalities and think about whether or not the boundary line is included in the solutions.
Esta gráfica representa las soluciones de la ecuación
Dibuja 4 gráficas sencillas que representen las soluciones de cada una de estas desigualdades:
A
B
C
D
Some students may struggle with the second set of questions because they do not recall how to write an equation for a vertical line or a horizontal line. Suggest that they write the coordinates of several points on the line and look for a pattern. For example, some points on the vertical line are
Select students to share their sketched graphs for the first set of questions and the inequalities they wrote for the second set of questions. Use their work and explanations to help the class synthesize the new ideas in this lesson.
See the Lesson Synthesis for discussion questions.