Furthermore, the solutions to some such problems consist of two different numbers, others consist of two of the same number, and some problems are unsolvable. First, students should notice - as many of them have already - that "sum and product" problems like these are basically the same thing as the "area and perimeter" problems of the last two days. The primary purpose of this opener is for students to get accustomed to finding pairs of numbers with a given sum and product, because that's really what they're doing when they factor a quadratic expression.Īs we move into the multiplying and factoring drills that will take up most of today's lesson, I would like students to notice how this problem is connected to the work of the preceding two lessons. On Monday, this unit began with a similar number riddle. It consists of three related number riddles that ask students to find a pair of numbers with a given sum and product. Today's opener is on the first slide of the lesson notes. LESSON 20: A Review Day, In Its Own Way.
LESSON 8: Graphing Quadratic Functions (Gallery Walk).LESSON 7: Different Forms and Different Parameters.LESSON 6: Quadratic Functions in Three Forms.LESSON 3: Area Models for Multiplying Polynomials and Factoring Quadratic Expressions.
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