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Algebra 2
ELG HS.A.6: Rewrite rational expressions
Vertical Progression:
th
7 Grade
Algebra 1
Algebra 2
7.EE.A Use properties of operations to generate equivalent expressions.
o 7.EE.A.1 Apply properties of operations as strategies to add, subtract, factor, and expand linear
expressions with rational coefficients.
ELG.MA.HS.A.3 Perform arithmetic operations on polynomials.
o A-APR.1 Understand that polynomials form a system analogous to the integers, namely, they are
closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply
polynomials.
ELG.MA.HS.A.6 Rewrite rational expressions.
o A-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.
ELG.MA.HS. A.6 Rewrite rational expressions.
o A-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.
Students will demonstrate command of the ELG by:
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Rewriting simple rational expressions using inspection, long division, or a computer algebra system.
Vocabulary:
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computer algebra system
rational expression
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Revised August 2015
Algebra 2
ELG HS.A.6: Rewrite rational expressions
Sample Instructional/Assessment Tasks:
1) Standard(s): A-APR.6
Source: Kansas Flip Book
Item Prompt:
Correct Answer:
The quotient is x – 3 and reminder is –x. One expression that could be written is
2) Standard(s): A-APR.6
Source: Adapted from https://www.illustrativemathematics.org/content-standards/HSA/APR/D/6/tasks/825
Item Prompt:
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Revised August 2015
Algebra 2
ELG HS.A.6: Rewrite rational expressions
Correct Answer:
Page 3 of 3
Revised August 2015