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Pre-Lesson: See Extra Support Materials for Algebra 1, Unit 8, Lesson 1.
In this lesson, students encounter a problem that cannot be easily solved by familiar strategies, which gives them a chance to persevere in problem solving (MP1). They write a quadratic equation and interpret what a solution means in the given situation. The work here motivates the need to solve quadratic equations. The formal definition of a quadratic equation will be introduced until the next lesson, after students have seen some variations of such equations and worked with them in context.