| aidemia--modules-lessonstartideas_type | Give a creative idea how to begin a lesson |
| Which subject | Mathematics |
| What age group | Year or Grade 8 |
| What topic | System of equations. |
| Quantity | 1 |
| Any other preferences |
Welcome, young mathematicians! Today, we’re going to embark on a thrilling adventure into the world of systems of equations. But before we dive into our mathematical journey, let’s set the stage with a little mystery!
Imagine you are detectives in a bustling city, tasked with solving a case that has left everyone puzzled. A notorious thief has taken a collection of valuable artifacts, and our job is to use the power of math to track them down!
You received a cryptic message from an anonymous source:
"If you find the stolen gold coins, you’ll discover that twice the number of silver coins plus three times the number of gold coins equals 30. Additionally, the total value of the coins is 50 dollars, where each silver coin is worth 2 dollars and each gold coin is worth 10 dollars. Find the number of silver and gold coins to crack the case!"
Now, here’s the catch: you need to work together to formulate a system of equations that will help you uncover the numbers of silver and gold coins.
Read the Clue Carefully: Discuss with your partner what the important information in the message is.
Define Your Variables:
Set Up the Equations:
By the end of our lesson, we hope to emerge from this mystery not only with the correct number of coins but also a deeper understanding of systems of equations. So grab your detective hats, pens, and paper—it’s time to crack the case!
Now that you have the background of our mystery, let’s break into groups and start formulating our equations! We will review how to solve systems of equations, and soon, we’ll be ready to solve the case of the missing coins!