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Add Rational Expressions

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Add Rational Expressions

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: ACMNA232

(Y10) Apply the four operations to simple algebraic fractions with numerical denominators (ACMNA232)

CCSS Math: HSA.APR.7

HSA.APR.7 (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

This Algebra 1 lesson teaches students how to add rational expressions. The lesson includes research-based strategies and strategic questions that prepare students for assessments. Students will factor the polynomials in the denominator completely, if possible, and then create equivalent fractions by finding the common denominator by multiplying the numerator and denominator of each fraction by the same rational expression. Finally, they will add the rational expressions by combining like terms in the numerator, and simplifying if needed. 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: ACMNA232

(Y10) Apply the four operations to simple algebraic fractions with numerical denominators (ACMNA232)

CCSS Math: HSA.APR.7

HSA.APR.7 (+) Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.


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