Lesson Plan

• Describe the binomial theorem and the formula for binomial coefficients.
• Calculate binomial coefficients using factorials or Pascal’s triangle.
• Apply the theorem to expand (a + b)ⁿ and simplify the resulting coefficients.
• Identify common sign and power errors and correct them.

• Projector or interactive whiteboard
• Printed worksheet with practice questions
• Calculator (scientific) for each student
• Handout of Pascal’s triangle up to n = 6
• Whiteboard and markers
• Exit‑ticket slips

Start with a quick mental challenge: “What is the expansion of (x + 1)³?” Review exponent rules and factorial basics, then state that today students will master a systematic method for expanding any binomial. Success will be measured by correctly writing the expanded form and simplified coefficients for given examples.

1. Do‑Now (5’) – Students write the expansion of (x + 1)³ on a sticky note; collect for quick check.
2. Mini‑lecture (10’) – Introduce the binomial theorem, coefficient formula, and illustrate Pascal’s triangle.
3. Guided example (15’) – Work through the expansion of (x + 2)⁴ together, calculating each coefficient.
4. Paired practice (15’) – Learners expand two assigned binomials from the worksheet while the teacher circulates.
5. Common pitfalls discussion (5’) – Highlight sign handling and power ordering errors; students correct a faulty example.
6. Check for understanding (5’) – Quick quiz on coefficient calculation; students submit answers on exit‑ticket slips.

Recap the steps of the binomial expansion and emphasise the importance of accurate coefficient computation. Collect exit tickets to gauge mastery, and assign homework: complete the remaining practice questions and write a short explanation of why the sum of coefficients in (x + 1)ⁿ equals 2ⁿ.