Lesson Plan: 7.EE - Expressions and Equations
Duration:
30 Minutes
Grade Level:
7th Grade Mathematics
Objectives
- Understand the properties of operations with numbers and variables.
- Analyze and solve linear equations and inequalities in one variable.
- Apply the concepts of algebra to real-world problems.
Materials Needed
- Whiteboard and markers
- Graphing paper
- Handouts with practice problems
- Calculators (optional)
Lesson Outline
Introduction (5 minutes)
- Begin with a brief review of what expressions and equations are.
- Discuss the importance of understanding how to manipulate expressions and solve equations in real-life situations.
Direct Instruction (10 minutes)
- Introduce the concept of evaluating expressions using the Order of Operations (PEMDAS).
- Explain how to combine like terms and distribute equations.
- Demonstrate how to solve a linear equation using an example on the whiteboard:
- Example: Solve (2x + 3 = 11)
Guided Practice (10 minutes)
- Work through a few sample problems together as a class:
- (5x - 7 = 18)
- (3(x + 4) = 24)
- Encourage students to ask questions and provide assistance as needed.
Independent Practice (5 minutes)
- Hand out a worksheet with a mix of expression evaluations and linear equations to solve.
- Allow students to work independently, circulating to answer questions.
Homework Assignment
Instructions: Complete the following problems for homework. Show all your work.
Problems
- Evaluate (4(3 + 5) - 10).
- Solve the equation: (7x + 2 = 30).
- Simplify the expression: (6y - 2y + 3y).
- Solve the inequality: (3x - 5 < 10).
Homework Answers
-
Problem 1:
- (4(3 + 5) - 10 = 4(8) - 10 = 32 - 10 = 22)
-
Problem 2:
- (7x + 2 = 30)
- (7x = 28)
- (x = 4)
-
Problem 3:
-
Problem 4:
- (3x - 5 < 10)
- (3x < 15)
- (x < 5)
Conclusion (Optional)
- Wrap up the lesson by discussing the relevance of algebra in various fields and encourage students to practice further.
- Remind students to bring their completed homework to the next class for discussion.
Assessment
- Monitor student understanding through participation in guided practice.
- Review homework for comprehension and provide feedback in the following lesson.
This structured lesson plan aims to engage 7th-grade students meaningfully with expressions and equations, ensuring they have both guided and independent practice opportunities.