examples, a computer Factoring polynomials in students algebra system. rational expressions to equations simplify the expression that has A.SSE.2: Use the polynomial structure of an in expression to identify ways to rewrite it. For higher example, see x4 y4 as than 2 – (x2)2 (y2)2, thus degree – recognizing it as a difference of squares that can be factored as (x2 y2)(x2 + y2). – A.REI.2: Solve simple Review Review rational and radical Solving equations Using inverse operations equations in one means isolating the to solve equations, variable, and give variable that you are including reciprocal examples showing how trying to solve for fractions extraneous solutions Denominators are Checking solutions for may arise. cleared by finding a extraneous solutions common denominator New and multiplying both Multiply each side of the sides by that equation by the LCD or denominator or using cross-multiply to cross multiplication if eliminate the possible denominators Any time you multiply Check solutions for each side of an equation extraneous solutions by an algebraic expression, it is possible to produce an extraneous solution. New Rational expression contain at least one variable in the denominator so the denominators must be cleared in order to isolate the variable When denominators are cleared equations are solved using inverse operations
examples, a computer algebra system. A.SSE.2: Use the structure of an expression to identify ways to rewrite it. For example, see x4 – y4 as (x2)2 – (y2)2, thus recognizing it as a difference of squares that can be factored as (x2 – y2)(x2 + y2). Factoring polynomials in rational expressions to simplify the expression students equations that has polynomial in higher than 2 degree A.REI.2: Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Review Solving equations means isolating the variable that you are trying to solve for Denominators are cleared by finding a common denominator and multiplying both sides by that denominator or using cross multiplication if possible Any time you multiply each side of an equation by an algebraic expression, it is possible to produce an extraneous solution. New Rational expression contain at least one variable in the denominator so the denominators must be cleared in order to isolate the variable When denominators are cleared equations are solved using inverse operations Review Using inverse operations to solve equations, including reciprocal fractions Checking solutions for extraneous solutions New Multiply each side of the equation by the LCD or cross-multiply to eliminate the denominators Check solutions for extraneous solutions
Algebra%202%20Tier%202%20curriculum%20unit%203.docx