TEKS 111.42(c)(5)(F)
apply the Binomial Theorem for the expansion of (a + b)n in powers of a and b for a positive integer n, where a and b are any numbers;
Source: Texas Administrative Code §111.42 (Chapter 111) · Adopted 2012
Knowledge & Skills 111.42(c)(5)
Algebraic reasoning
The student uses process standards in mathematics to evaluate expressions, describe patterns, formulate models, and solve equations and inequalities using properties, procedures, or algorithms. The student is expected to:
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Other expectations under 111.42(c)(5)
- TEKS 111.42(c)(5)(A) evaluate finite sums and geometric series, when possible, written in sigma notation;
- TEKS 111.42(c)(5)(B) represent arithmetic sequences and geometric sequences using recursive formulas;
- TEKS 111.42(c)(5)(C) calculate the nth term and the nth partial sum of an arithmetic series in mathematical and real-world problems;
- TEKS 111.42(c)(5)(D) represent arithmetic series and geometric series using sigma notation;
- TEKS 111.42(c)(5)(E) calculate the nth term of a geometric series, the nth partial sum of a geometric series, and sum of an infinite geometric series when it exists;
- TEKS 111.42(c)(5)(G) use the properties of logarithms to evaluate or transform logarithmic expressions;
- TEKS 111.42(c)(5)(H) generate and solve logarithmic equations in mathematical and real-world problems;
- TEKS 111.42(c)(5)(I) generate and solve exponential equations in mathematical and real-world problems;
- TEKS 111.42(c)(5)(J) solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;
- TEKS 111.42(c)(5)(K) solve polynomial inequalities with real coefficients by applying a variety of techniques and write the solution set of the polynomial inequality in interval notation in mathematica…
- TEKS 111.42(c)(5)(L) solve rational inequalities with real coefficients by applying a variety of techniques and write the solution set of the rational inequality in interval notation in mathematical an…
- TEKS 111.42(c)(5)(M) use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expre…
- TEKS 111.42(c)(5)(N) generate and solve trigonometric equations in mathematical and real-world problems.