Describe in detail what you need | Provide me with a do now, mini lesson, practice and exit ticket for the following objective practice identifying and graphing inverse proportionality relationships. Partnered activity: inverse proportionality bingo |

How many pages | 1 |

Let's start the lesson with a warm-up activity. Solve the following problem:

If a car travels at a speed of 50 km/h, it takes 4 hours to reach a destination. How long would it take for the car to reach the same destination if it travels at a speed of 100 km/h?

Inverse proportionality deals with the relationship between two variables where increasing one leads to the decrease of the other while keeping their product constant. For instance, if the speed of a car increases, the time it takes to reach its destination decreases.

Inverse proportionality can be represented using an equation of the form: y = k/x. Where y and x are variables, and k is the constant of proportionality.

Graphically, inverse proportionality is represented using a rectangular hyperbola.

Now, let's practice identifying inverse proportionality relationships. Identify the following pairs of variables as direct or inverse proportionality:

- The time it takes to prepare for an exam and the grade obtained.
- The distance traveled and the time it takes.
- The number of workers and the time it takes to complete a task.
- The number of pages of a book read daily and the time it takes to complete the book.

Now, let's move on to graphing inverse proportionality relationships. Using the equation y = k/x where k = 1. Graph the following inverse proportionality relationships:

- x = 2, 4, 6, 8, 10, 12, 14, 16, 18, 20
- x = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10

Complete the following exit ticket:

- Solve the following problem using inverse proportionality. If six people can paint a room in eight hours. How many people are required to paint the room in 12 hours?
- Graph the inverse proportionality relationship y = 1/x
- Explain inverse proportionality in your own words.

Now, let's have some fun! Inverse proportionality bingo is a partnered activity where students will race to find the value of x that will create the equation presented by the teacher.

To start the activity, the teacher will call out the equation in the form of “y equals K, what is x?”. The first group to solve the equation will be the winners. The game continues until all the equations have been completed.

Some suggested equations are:

- y = 15 and k = 5
- y = 2 and k = 12
- y = 6 and k = 3

Inverse proportionality bingo is a great way to solidify students' knowledge of inverse proportionality while having fun.