Products with Constant Sums and Differences Problem Set.docx - Section 2: Investigation and New Learning

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Sums, Differences and Products

Unit 4: Introduction to Quadratic Functions through Applications
Lesson 5 of 9

Objective: SWBAT describe the relationship between the products of pairs of numbers that have fixed sums and differences and one of the numbers. SWBAT use multiple representations to solve optimization problems involving quadratic functions.

Big Idea: If you know that a pair of numbers has a certain sum or difference, which such pair of numbers has the greatest or the least possible product? How can you prove this?

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