Learning Objective
By the end of this 45-minute mini-lesson, the Grade 7 students will be able to:
- Identify direct variation relationships
- Graph direct variation relationships
- Demonstrate their understanding through successful completion of the direct match game
Materials Needed
- Whiteboard and marker
- Direct Variation Relationship Chart handout
- Graphing paper
- Direct Match Game worksheet
Introduction (5 minutes)
- Greet students and get their attention
- Ask students if they know what a direct variation relationship is
- Define direct variation relationship as a relationship between two variables where as one variable goes up, the other variable goes up by a constant factor, or as one variable goes down, the other variable goes down by a constant factor
- Explain that we will be learning how to identify and graph direct variation relationships in this lesson
Direct Variation Relationship Chart (10 minutes)
- Hand out the Direct Variation Relationship Chart handout
- Explain that we will be filling out the chart together in order to identify direct variation relationships
- Provide an example on the whiteboard, such as "If you buy more apples, you pay more money. The more apples you buy, the more money you pay." Ask students to identify which variable is increasing and which variable is decreasing, and what the constant factor is.
- Guide students to fill out the chart for the example on the whiteboard
- Repeat the process with additional examples, allowing students to fill out the chart on their own for each one
Graphing Direct Variation Relationships (15 minutes)
- Hand out graphing paper
- Provide an example on the whiteboard, such as "If you drive faster, you get to your destination sooner. The faster you drive, the sooner you get there." Ask students to identify which variable is increasing and which variable is decreasing, and what the constant factor is.
- Guide students to graph the example on their own graphing paper
- Repeat the process with additional examples, allowing students to graph on their own for each one
- Provide feedback and correction as necessary
Direct Match Game (15 minutes)
- Hand out the Direct Match Game worksheet
- Explain that the game requires students to match different direct variation relationships and graphs that they have learned during the lesson
- Allow students to complete the worksheet independently
- Monitor progress and provide support as necessary
- Once students have completed the worksheet, review the answers together as a class
Conclusion (5 minutes)
- Review what was learned during the lesson, including identifying and graphing direct variation relationships
- Provide examples of how direct variation relationships can be found in everyday life
- Thank students for their participation and attention