Solving for x: Mastering Linear Equations
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Solving for x: Mastering Linear Equations
Year 10 Mathematics Cambridge IGCSE & NZC Curriculum 55-minute lesson
WALT & Success Criteria
We Are Learning To: • Review the structure of linear equations • Solve one-variable linear equations involving up to three steps • Explain and justify the steps used to solve equations logically Success Criteria - You will be able to: • Identify steps needed to isolate the variable • Solve equations involving addition, subtraction, multiplication, and division • Check solutions by substituting back into original equations • Explain each step using mathematical vocabulary
Guided Review: One-Step & Two-Step Equations
One-Step Examples: • x + 5 = 12 → x = 7 • 3x = 15 → x = 5 Two-Step Examples: • 2x - 4 = 10 • Add 4 to both sides: 2x = 14 • Divide by 2: x = 7 Key Strategy: Do the OPPOSITE operation!
Scaffolded Worksheet Practice
Three-Step Equation Practice Level 1: Basic three-step with whole numbers Example: 4x - 3 = 17 Level 2: Standard complexity Example: 2(x + 3) = 16 Level 3: Extension with fractions/decimals Example: (x/2) + 3 = 7.5 Work individually or in pairs Show ALL steps clearly Check your answers by substitution
Peer Explanation Strategy
{"left":"Partner A explains their solution method step-by-step\nPartner B listens and asks clarifying questions\nUse mathematical vocabulary: 'isolate', 'inverse operation', 'substitute'","right":"Switch roles for the next problem\nTeacher circulates to support and prompt deeper explanations\nFocus on WHY each step works, not just HOW"}
Extension Challenge
Ready for a challenge? Solve: 3(2x - 1) + 4 = 17 Word Problem: Sarah has some stickers. She gives away 5, then doubles what she has left, ending up with 24 stickers. How many did she start with? Can you form AND solve the equation?
Plenary & Reflection
Quick Check - True or False? • When solving 3x + 2 = 11, the first step is to divide by 3 • The solution to 2x - 5 = 7 is x = 6 • You can check your answer by substituting back Reflection Questions: • What strategy helped you most today? • Which type of equation do you find most challenging? • How confident do you feel solving three-step equations?