TEKS: Chapter 111. Mathematics See All Teacher Resources

111.42.c.5

(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:

(A) evaluate finite sums and geometric series, when possible, written in sigma notation;

(B) represent arithmetic sequences and geometric sequences using recursive formulas;

(D) represent arithmetic series and geometric series using sigma notation;

(E) calculate the nth term of a geometric series, the n^th partial sum of a geometric series, and sum of an infinite geometric series when it exists;

(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;

(G) use the properties of logarithms to evaluate or transform logarithmic expressions;

(H) generate and solve logarithmic equations in mathematical and real-world problems;

(I) generate and solve exponential equations in mathematical and real-world problems;

(J) solve polynomial equations with real coefficients by applying a variety of techniques in mathematical and real-world problems;

(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 mathematical and real-world problems;

(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 and real-world problems;

(M) use trigonometric identities such as reciprocal, quotient, Pythagorean, cofunctions, even/odd, and sum and difference identities for cosine and sine to simplify trigonometric expressions; and

(N) generate and solve trigonometric equations in mathematical and real-world problems.

Substandards

TEKS.111.42.c.5.A

TEKS.111.42.c.5.B

TEKS.111.42.c.5.C

TEKS.111.42.c.5.D

TEKS.111.42.c.5.E

TEKS.111.42.c.5.F

TEKS.111.42.c.5.G

TEKS.111.42.c.5.H

TEKS.111.42.c.5.I

TEKS.111.42.c.5.J

TEKS.111.42.c.5.K

TEKS.111.42.c.5.L

TEKS.111.42.c.5.M

TEKS.111.42.c.5.N