📊 GAPSENSE EXERCISE BOOK ANALYSIS

🎯 All Learning Gaps (3)

🎯 All Learning Gaps (2)

❌ Errors Found (3)

• Arithmetic error in subtraction: (2x + 7b) - (2x + 4b) should equal 3b, but student wrote 3b = b ÷ 3, then concluded b = 2. The division step is unexplained and incorrect.
• Substitution error: When substituting b = 2 into equation (2), student wrote '2x + 4x2 = 18' instead of '2x + 4(2) = 18'. Used multiplication symbol incorrectly or confused variable notation.
• Arithmetic error in simplification: 2x + 8 = 18 should give 2x = 10, then x = 5. Student wrote '2x = 10 ÷ 2' then 'x = 5', which is correct but the division notation is non-standard.

🔍 Patterns Identified

• Confusion between multiplication and variable notation (4x2 vs 4(2))
• Unexplained algebraic steps (3b = b ÷ 3)
• Arithmetic errors in basic operations within equation solving
• Inconsistent notation for division/simplification

💡 Recommended Focus Areas

• algebraic notation and variable representation
• equation solving and inverse operations
• substitution method accuracy
• arithmetic operations within algebraic contexts
• elimination method for simultaneous equations

🎯 All Learning Gaps (1)