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Curipod generated lesson: "constant of proportionality". #5-7

Updated 4 months ago

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?

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