Lesson 1: Introduction to Systems of Equations

• What is a system of equations?
• What does it mean to solve a system?
• How many solutions can a system have?
• How do we check if a point is a solution

System, equations, solution, ordered pair, check, verify

CCSS.MATH.8.EE.C.8

Description: Systems of equations are introduced as two or more equations that we solve together. Students learn that a solution is an ordered pair that satisfies both equations simultaneously. They verify solutions by substituting into both equations. Purpose: To establish foundational understanding that systems have solutions that work for all equations. DOK Level: 1-2 (Recall and Understanding)

• Visual representation: Show both equations on the same graph
• For struggling learners: Use simple linear equations
• For advanced learners: Introduce non-linear systems
• Anchor chart: Display system vocabulary and solution concept

• Observation: Can students identify solutions to systems?

• Verification task: Check if given points are solutions

• Worksheet: Verify solutions to given systems

• Exit ticket: Explain what a solution to a system means

• System of equations examples

• Verification worksheets

• Anchor chart for systems

• Graphing examples

• Resource: Khan Academy "Systems of Equations Introduction" (adapted)