Objective

The objective of this lesson is to introduce the student to basic algebra concepts while incorporating their interest in Roman Emperors.

Materials and Prep

• Paper and pencil
• A list of Roman Emperors (can be found online or in a book)

Activities

• Create Equations: Have the student write down algebraic equations that represent facts about different Roman Emperors. For example, if the student knows that Emperor Augustus ruled for 41 years, they can write the equation: x = 41, where x represents the number of years Augustus ruled. Encourage the student to come up with multiple equations based on different emperors.

• Solve Equations: Once the student has created the equations, challenge them to solve for the unknown variable. Using the previous example, the student would solve for x in the equation x = 41. This activity reinforces the concept of solving for an unknown variable in algebra.

• Create Word Problems: Ask the student to create word problems based on the equations they have written. For example, they could write a word problem like: "If Emperor Nero ruled for x years and Emperor Augustus ruled for 41 years, how many more years did Augustus rule compared to Nero?" This activity helps the student practice translating algebraic equations into real-world scenarios.

Talking Points

• Introduction to Algebra: Algebra is a branch of mathematics that uses letters and symbols to represent unknown quantities. It helps us solve problems and find answers.

• Equations: Equations are mathematical sentences that show that two expressions are equal. In algebra, we use variables like x to represent unknown quantities. We can solve equations to find the value of the unknown variable.

• Solving Equations: To solve an equation, we want to find the value of the unknown variable that makes the equation true. We can do this by performing operations on both sides of the equation to isolate the variable.

• Creating Equations: We can use algebraic equations to represent facts or relationships. In this lesson, we will create equations based on information about Roman Emperors.

• Word Problems: Word problems are scenarios that require us to use algebra to find a solution. We will practice creating word problems based on the equations we have written.