Lesson 8: Solving Rational Equations Objectives Using operations with rational expressions SWBAT work in _____________________ to solve equations including rational expressions and use these skills to solve real life problems correctly for 3 out of 4 problems on a daily exit slip. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 2: Reason abstractly and quantitatively MP 4: with mathematics MP 7: Look for and make use of structure Vocabulary: Rational equations Common Misconceptions: -mistakes with combining like terms - not checking for extraneous solutions - using cross multiplication incorrectly Concepts Skills Material/ Suggested Assessment CCSS What students will know What students will be able to do Resource Pacing Check Point A.APR.6: Rewrite simple Review Review Text book- 2 days Exit slip: rational expressions in Creating fractions with Simplifying fractions by 8.6 pg. 545 different forms, write common denominators dividing common factors and 5 a(x)/b(x) in the form uses equivalent from the numerator and Note: the q(x) + r(x)/b(x), where fractions the denominator standard a(x), b(x), q(x), and r(x) Factoring polynomials A.REI.2 are polynomials with New New indicates the degree of r(x) less Creating rational Simplifying rational solve than the degree of b(x), expressions with expression by dividing SIMPLE using inspection, long common denominators common factors from the rational division, or, for the uses equivalent numerator and equations, more complicated expressions denominator do not give
Lesson 8: Solving Rational Equations Objectives Using operations with rational expressions SWBAT work in _____________________ to solve equations including rational expressions and use these skills to solve real life problems correctly for 3 out of 4 problems on a daily exit slip. Focused Mathematical Practices MP 1: Make sense of problems and persevere in solving them MP 2: Reason abstractly and quantitatively MP 4: with mathematics MP 7: Look for and make use of structure Vocabulary: Rational equations Common Misconceptions: -mistakes with combining like terms - not checking for extraneous solutions - using cross multiplication incorrectly CCSS Concepts What students will know Skills What students will be able to do Material/ Resource Suggested Pacing Assessment Check Point 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 Review Creating fractions with common denominators uses equivalent fractions New Creating rational expressions with common denominators uses equivalent expressions Review Simplifying fractions by dividing common factors from the numerator and the denominator Factoring polynomials New Simplifying rational expression by dividing common factors from the numerator and denominator Text book- 8.6 Note: the standard A.REI.2 indicates solve SIMPLE rational equations, do not give 2 days Exit slip: pg. 545 and 5
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