Algebra Lesson Plan: Solving Systems of Linear Equations by CARISSA APPIERTO

CCSS Alignment

cappierto — 2025-07-29 14:06:21 UTC

A.REI.6 - Solve systems of linear equations exactly and simultaneously using multiple methods (algebraic, graphs, tables)

Student Objectives

cappierto — 2025-07-29 14:06:21 UTC

By the end of this lesson, students will be able to:
- Identify systems of linear equations
- Solve systems using substitution method
- Solve systems using elimination method
- Graph systems to find solutions
- Determine if systems have one solution, no solution, or infinite solutions

Essential Question

cappierto — 2025-07-29 14:06:22 UTC

How can we determine where two lines intersect, and what does this point of intersection represent in real-world situations?

Warm-up (5 mins)

cappierto — 2025-07-29 14:06:22 UTC

Students solve a simple system by graphing:
y = 2x + 1
y = -x + 4
Discuss what the intersection point means.

Direct Instruction (15 mins)

cappierto — 2025-07-29 14:06:25 UTC

Teacher demonstrates solving systems using substitution and elimination methods. Students take notes using a collaborative Padlet wall to share key points.

Guided Practice (20 mins)

cappierto — 2025-07-29 14:06:25 UTC

In pairs, students solve:
1) y = 3x - 2, 2x + y = 8
2) 2x + 3y = 12, 4x - 3y = 6
Teacher circulates to provide support.

Independent Practice

cappierto — 2025-07-29 14:06:27 UTC

Students work individually on Desmos Activity: Systems of Equations

Extension Activity

cappierto — 2025-07-29 14:06:27 UTC

Create word problems that can be solved using systems of equations and share them on a collaborative Padlet wall for peers to solve

Remediation Support

cappierto — 2025-07-29 14:06:28 UTC

Interactive step-by-step guide for solving systems

Formative Check

cappierto — 2025-07-29 14:06:28 UTC

During guided practice, assess student understanding through observation and questioning

Quick Quiz

cappierto — 2025-07-29 14:06:28 UTC

Students solve two systems of equations using their preferred method. Must show work and explain their choice of method.

Exit Ticket

cappierto — 2025-07-29 14:06:28 UTC

1) What method (substitution/elimination) would you use to solve: 3x + y = 7, x - y = 1? Why?
2) How do you know if a system has no solution?

Group Discussion

cappierto — 2025-07-29 14:06:29 UTC

Which method of solving systems do you prefer and why? What are the advantages of each method?

Summary

cappierto — 2025-07-29 14:06:29 UTC

Students create a mind map showing the different methods for solving systems and when to use each one

Practice Problems

cappierto — 2025-07-29 14:06:29 UTC

Solve 4 systems of equations using both substitution and elimination methods. Circle the method you think is more efficient for each.

Real-World Application

cappierto — 2025-07-29 14:06:29 UTC

Create and solve a word problem involving systems of equations about a real-life situation (e.g., comparing cell phone plans or finding the dimensions of a rectangle)

Online Practice

cappierto — 2025-07-29 14:06:31 UTC

Complete IXL Math practice on systems of equations

Real-World Connection

cappierto — 2025-07-29 14:08:44 UTC

How can the concept of common inputs and outputs relate to a real life scenario?