In this lesson, you learned how to:
- Explain when a relationship between two quantities is a function.
- Identify independent and dependent variables in a function, and use words and graphs to represent the function.
- Explain what descriptions and graphs of functions tell us about situations.
Here are the activities that helped you reach those goals:
- 4.1.1: Contrasting Two Relationships by Reasoning
- In this activity, you looked at which relationships represent a function and learned which quantities are functions of the other.
- 4.1.2: Reasoning Graphically About the Relationship between the Two Quantities
- In this activity, you sketched graphs about a dog’s movement as distance was a function of time.
- 4.1.2: Self Check
- 4.1.2: Additional Resources
- 4.1.3: Examining Relations and Functions
- In this activity, you determined if relations are functions by looking at the given inputs and outputs.
- 4.1.3: Self Check
- 4.1.3: Additional Resources
- 4.1.4: Describing Functional Relationships
- In this activity, you identified the independent and dependent variables in functional relationships. You also determined which variable was a function of the other to make statements about the relationship.
- 4.1.4: Self Check
- 4.1.4: Additional Resources
- 4.1.5: Modeling Relationships between Two Variables
- In this activity, you summarized everything you have learned in this lesson by identifying independent and dependent variables of a situation, determining which variable is a function of the other, and sketching a graph of the situation.
After these activities, you completed the following practice:
- 4.1.6: Practice
Checking In
On a scale of 1 to 5, how confident do you feel about the learning goals of this lesson?
Nice reflection! You learn more when you take the time to reflect on your thinking.