Understanding Direct Variation in Math

Explore the concept of direct variation in math through an analysis of proportional relationships, constants of proportionality, and graph representation. Practice identifying direct variation and determining the constant of proportionality to interpret the data effectively.

• Math
• Direct Variation
• Proportional Relationships
• Constant of Proportionality
• Graph Representation

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1. 11.28.2018 Number Talk Activity One bag of pretzels costs three dollars. Five bags of pretzels costs $10. Which is the better deal? Agenda Ticket in the Door Proportionality Video Guided practice Activity

2. Review Video https://www.youtube.com/watch?v=Cbge4teixr0

3. Brainstorm: List anything you notice about the table of data.

4. Vocabulary Constant of Proportionality - a constant ratio (unit rate) in any proportional relationship.

5. Is this a proportional relationship? Is there a Constant of Proportionality?

6. Is this a proportional relationship? Is there a Constant of Proportionality?

7. Vocabulary Relationships that have a positive proportional relationship are said to have Direct Variation or Vary Directly Direct Variation the ratio of output and input (? ?) is constant (proportional). The constant ratio is called the Constant of Proportionality

10. Which tables show a direct variation? Give the constant of proportionality, if possible.

11. Time to practice! Determine if each relationship show Direct Variation If possible, find the Constant of Proportionality Complete the sentence interpret your answer.

12. Brainstorm: What does a relationship that is proportional look like on a graph? How is the Constant of Proportionality (Unit Rate) involved?

13. Lets see! Write each ratio as an ordered pair. Plot your ordered pairs. What do you notice?

15. Summarize What does a relationship that is proportional look like on a graph? How is the Constant of Proportionality (Unit Rate) involved?

19. Time to practice! Find the Constant of Proportionality on the following graphs. https://www.mathworksheets4kids.com/proportion/constant/table- 1.pdf

20. Reference www.campbell.k12.ky.us/userfiles/1718/.../Constant%20of%20Propo rtionality.pptx