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**Scheme of work: Year 12 A-Level: Pure 1:The Binomial Expansion**

- Be able to expand brackets.
- Know and apply the rules of indices

- Use the Pascal triangle to identify binomial coefficients and use them to expand simple binomial expressions.
- Find binomial coefficients using factorials and using nCr notation.
- Use the binomial expansion to expand brackets in the form (1 + x)
^{n}, (1 + ax)^{ n}and (a + bx)^{n}. - Find individual coefficients in a binomial expansion
- Make approximations using the binomial expansion

- Introduce students to Binomial Expansion through Pascal Triangle.
- Writing individual terms in brackets is good practice when expanding, as students can get confused with negative and fractional terms.
- Students need to know how to use the nCr button on their calculators.
- The binomial expansion can be used to find approximations of a number raised to a power. When approximating solutions, the value of x is so small that you can ignore the higher powers of the expansion.

- Students often forget that the power rule applies when raising terms such as (ax)n. For example, students incorrectly write this as ax
^{ n}instead of a^{n}x^{n}. - Often, students forget to convert expressions in the form (a + x)
^{n}to (1 + x)^{n}.

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Use isometric paper for hands-on learning and enhanced understanding.

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Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

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Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.