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Algebra 2 An Integrated Approach, Larson/Kanold/Stiff, 1995, D.C. Heath and Company Section References 5.1 Solving Quadratic Equations by Finding Square Roots 5.2 Parabolas: Graphs of Quadratic Equations 5.3 Completing the Square 5.4 The Quadratic Formula 5.5 Complex Numbers 5.6 Solving Any Quadratic Equations 5.7 Graphs of Quadratic Inequalities 9.1 Operations with Polynomials 9.2 Graphs of Polynomials Functions 9.3 Factoring Polynomials
9.4 Polynomial Division, Factors and Remainders 9.5 Finding Rational Zeros 9.6 Connections: Zeros, Factors, and Solutions 9.7 Exploring Data:
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Previously Published Data 1.) Have the students work on completing the
square activity working with x(x)-tiles, and constant-tiles (ones.) Some
of the expressions to explore are: x(x) + 4x + 1 and x(x) + 5x + 2. Using
Algebra Tiles, have them build x(x) + 4x + 1. Next, have them arrange the
tiles to form a square. They will put two x-tiles on the right side of
the x(x)-tile and two x-tiles beneath it. The constant tile will fit in
the corner formed by the x-tiles. Three additional constant-tiles are needed
to complete the square. To find the factors, look at any two adjacent sides.
Each is x + 2, therefore the expression is (x + 2)(x + 2) - 3. Since we
had to add three constant-tiles to complete the square, they must be subtracted
to "balance" the expression.
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Previously Published Data 1.) Have students solve a quadratic equation
with real solutions and also have them graph the equations.
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