Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. For example, in a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65t to represent the relationship between distance and time.
For the equation y = 3x + 4, if y is 25 what must x equal? Students work with input-output tables and then work together to create equations, tables, and graphs to represent various situations.
What are the similarities and differences between expressions, equations, and inequalities? What do students understand? What gaps do they have in their understanding? Students review and take the quiz.
Hitting The Glass Ceiling... or Floor: Understanding that inequalities describe a type of limitation in a real world situation where you can't go any higher than a given quantity or you can't go any lower.