Further Mathematics — Matrices

Exam board: CCEA  |  Back to subjects

Board-Specific Note

Pure-heavy; applied modules vary by centre.

Learning Objectives

• Add and multiply matrices
• Compute determinants and inverses
• Solve systems with matrices

Key Points

• Matrix multiplication is non-commutative
• det(A) for 2x2 = ad−bc
• A⁻¹ = (1/det) adj(A)

Lesson Plan (50 minutes)

1. Starter (5 min): Recall prior knowledge of matrices with quick questions.
2. Teaching (15 min): Work through each of the learning objectives, explaining principles step by step.
3. Key points review (5 min): Revisit the key points together, confirming understanding.
4. Worked example (10 min): Model the example question: Find determinant of [[2,3],[1,4]]. Solution: 8 − 3 = 5
5. Practice (10 min): Students attempt the practice questions independently; circulate and support.
6. Plenary (5 min): Review answers and address misconceptions.

Homework

• Multiply [[1,2],[3,4]] by [[5],[6]]
• Find the inverse of [[2,0],[0,3]]
• Solve 2x+3y=5, y=1 using matrices

Assessment

Check practice answers against the model answer; use the built-in practice questions as formative assessment.