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Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 5--Analyzing and Comparing Linear Relationships, Including Parallel and Perpendicular Lines
Display Title
Lesson Plan--Ratios, Proportions, and Percents (Gr 8)--Lesson 5--Analyzing and Comparing Linear Relationships, Including Parallel and Perpendicular Lines
Lesson Plan: Parallel and Perpendicular Lines
In this lesson, students explore the properties of parallel and perpendicular lines in coordinate geometry. They will learn how to identify these lines based on their slopes, determine equations for parallel and perpendicular lines, and apply these concepts to solve real-world and mathematical problems.
Key concepts covered in this lesson include:
- Understanding the slope criteria for parallel (m1=m2) and perpendicular lines (m1×m2=−1).
- Identifying parallel and perpendicular lines in equations, tables, and graphs.
- Writing equations of lines that are parallel or perpendicular to a given line.
- Graphing parallel and perpendicular lines on a coordinate plane.
- Applying these concepts to real-world scenarios, such as road construction, fencing, and urban planning.
Students will strengthen their algebraic reasoning and geometric understanding by working with slope-intercept and point-slope forms. This lesson provides a strong foundation for advanced concepts in coordinate geometry and linear functions.
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Common Core Standards | CCSS.MATH.CONTENT.8.F.B.4, CCSS.MATH.CONTENT.8.F.B.5, CCSS.MATH.CONTENT.8.EE.B.6 |
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Grade Range | 6 - 8 |
Curriculum Nodes |
Algebra • Linear Functions and Equations • Graphs of Linear Functions |
Copyright Year | 2025 |
Keywords | equations of parallel lines, equations of perpendicular lines |