Title: Rewriting Equations and Formulas

Grade Level: 9th-10th grade

Objective: - Students will understand the concept of rewriting equations and formulas. - Students will be able to manipulate equations and formulas to solve for different variables. - Students will apply their knowledge of rewriting equations and formulas to solve real-world problems.

Materials: - Whiteboard or blackboard - Markers or chalk - Handouts with practice problems - Calculators (optional)

Procedure:

1. Introduction (5 minutes)
   • Begin the lesson by asking students if they have ever encountered equations or formulas in their math classes.
   • Discuss the importance of equations and formulas in various fields, such as physics, chemistry, and engineering.
   • Explain that rewriting equations and formulas is a crucial skill that allows us to solve for different variables and manipulate mathematical expressions.
2. Review of Basic Algebraic Manipulations (10 minutes)
   • Remind students of basic algebraic manipulations, such as adding, subtracting, multiplying, and dividing both sides of an equation by the same value.
   • Provide a few examples on the board and solve them together as a class.
3. Rewriting Equations (15 minutes)
   • Introduce the concept of rewriting equations by explaining that we can rearrange the terms and variables in an equation to solve for a different variable.
   • Demonstrate the process of rewriting equations using simple examples, such as solving for x in the equation 2x + 5 = 15.
   • Guide students through the steps of isolating the variable on one side of the equation and solving for it.
4. Rewriting Formulas (15 minutes)
   • Explain that formulas are equations that express relationships between different variables.
   • Provide examples of common formulas, such as the area of a rectangle (A = length × width) or the Pythagorean theorem (a² + b² = c²).
   • Show students how to rewrite these formulas to solve for different variables. For example, solving for the width in the area formula A = length × width.
5. Guided Practice (15 minutes)
   • Distribute handouts with practice problems involving rewriting equations and formulas.
   • Instruct students to work individually or in pairs to solve the problems.
   • Circulate the classroom to provide assistance and answer any questions.
6. Real-World Application (10 minutes)
   • Engage students by discussing real-world scenarios where rewriting equations and formulas are necessary.
   • Provide examples, such as calculating the speed of a moving object using the formula speed = distance/time.
   • Encourage students to think of other situations where rewriting equations and formulas are applicable.
7. Independent Practice (10 minutes)
   • Assign additional practice problems for students to complete independently.
   • Collect the assignments for assessment purposes or review them in the next class.
8. Conclusion (5 minutes)
   • Recap the main concepts covered in the lesson, emphasizing the importance of rewriting equations and formulas.
   • Address any remaining questions or concerns from students.
   • Encourage students to practice rewriting equations and formulas regularly to reinforce their understanding.

Note: The duration of each section can be adjusted based on the pace and needs of the students.