Unpacked Content
Knowledge
Students know:
- Roles of dependent and independent variables.
- Correct translation between verbally stated situations and mathematical symbols and notation.
Skills
Students are able to:
- Represent real-world problems involving two quantities that change in relationship to one another using equations, graphs, and tables,
- Use mathematical vocabulary to explain connections among representations of function contexts.
- Analyze and interpret the relationship between the independent and the dependent variable in a given situation.
Understanding
Students understand that:
- Equations with two variables represent mathematical relationships in which the value of the dependent variable varies with changes in the independent variable.
- A symbolic or visual representation of relevant features of a real-world problem can aid in interpretation of the situation.
- Translating between language, a table, an equation, or a graph represents the same relationship and provides a different perspective on the function.
Vocabulary
- Dependent variables
- Independent variables
- Equations
