 # constant of proportionality

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1. Slide
60 seconds
A constant of proportionality is a special kind of rate. It is a relationship between two variables that are always proportional. It is used to describe how one quantity changes when the other changes.
Constant of Proportionality
2. Word cloud
120 seconds
What is the definition of a constant of proportionality?
3. Slide
60 seconds
Constant of Proportionality: This is a mathematical concept that states that two variables are in direct proportion to each other, meaning that when one of the variables changes, the other changes in the same ratio. Inverse Variation: This is when two variables are inversely related, which means that when one of the variables increases, the other decreases in the same ratio. Direct Variation: This is when two variables are directly related, which means that when one of the variables increases, the other also increases in the same ratio.
Concepts:
4. Slide
60 seconds
The constant of proportionality is sometimes referred to as the 'slope' of a line and is used to calculate the rate of change for a linear equation. In mathematics, the constant of proportionality is also known as the 'coefficient of proportionality'. The constant of proportionality can be used to calculate the speed of objects moving in a straight line.
Did you know?
5. Open question
300 seconds
What is the definition of a constant of proportionality?
6. Open question
300 seconds
Can you think of a real world example of a constant of proportionality?
7. Open question
300 seconds
What have you learned about constants of proportionality?
8. Open question
300 seconds
How can you use constants of proportionality in your everyday life?
9. Drawings
450 seconds
Brain break: Draw a wacky bird with two heads and one long foot turning somersaults in the air.
10. Drawings
1260 seconds
Question: You are a 7th grade math teacher. You want to help your students learn about the constant of proportionality. What can you do? Clues: • A constant of proportionality is a number that describes how two related measurements change in relation to each other. • It can be written as “y is directly proportional to x.” • It can also be written as y = kx, where k is the constant of proportionality. In pairs: Select and solve one of the tasks: A. Create a drawing to show a situation in which two related measurements change in relation to each other. B. Explain how the constant of proportionality can be used to find one of the measurements if you know the other.
11. Poll
60 seconds
What is the constant of proportionality in the equation y = 3x?
• y
• 3
• x
12. Poll
60 seconds
In a direct variation, what happens to the dependent variable as the independent variable increases?
• It decreases.
• It stays constant.
• It also increases.
13. Poll
60 seconds
If y varies directly with x and y = 10 when x = 2, what is the value of y when x = 5?
• 100
• 25
• 50
14. Poll
60 seconds
What is another name for constant of proportionality in science and mathematics?
• Proportional constant
• Slope
• Unit rate
15. Poll
60 seconds
In which type of variation does one variable increase while the other decreases?
• No variation
• Inverse variation
• Direct variation
16. Open question
180 seconds
Work together in pairs: Q: What is the equation that describes the relationship between two variables when they are in direct proportion?
17. Word cloud
120 seconds
What is a constant of proportionality?