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Simplify Rational Expressions by Factoring

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Simplify Rational Expressions by Factoring

TEKS Math: A2.7.F

(F) Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two

AU Math: ACMNA230

(Y10) Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230)

CCSS Math: HSA.APR.6

HSA.APR.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.

This Algebra 1 lesson teaches students how to simplify rational expressions by factoring. The lesson includes research-based strategies and strategic questions that prepare students for assessments. Students will factor the polynomial in the numerator completely, if possible, and then the denominator. Finally, they will simplify the fraction by reducing common polynomials factors in the numerator and the denominator. In addition to the lesson, there is one page of Independent Practice and three pages of periodic review.

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Standard Alignments:

TEKS Math: A2.7.F

(F) Determine the sum, difference, product, and quotient of rational expressions with integral exponents of degree one and of degree two

AU Math: ACMNA230

(Y10) Factorise algebraic expressions by taking out a common algebraic factor (ACMNA230)

CCSS Math: HSA.APR.6

HSA.APR.6 Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system.


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