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Use the structure of the quadratic form of the quartic function to factor into two difference of squares.

This Core Resource aims to support students in using substitution and elimination to solve systems of equations. Additionally, students will see that the solutions to systems of equations or inequalities must satisfy each equation or inequality in the system.

Students will focus on what the quantities mean in systems and how the solutions to systems involving equality and inequality can be represented in multiple different ways.

This is designated as a problem for systems of equations in algebra I, but can be used in Unit 0 for pretty much any course... I used it in my College Math classes and in my Calculus classes. I developed an activity and worksheet that focuses on problem solving processes rather than obtaining the correct answer. First students have to look at the picture and they can't use a pen or pencil but have 1 minute to think "what is this problem asking me?" (NOTE: Answers can vary) Then, they will develop a plan to solve it, share that with a neighbor (still no writing), and then they can solve it. Later on, there is space for them to explain their process. Then, facilitate a discussion about the different methods that can be used, and the efficiency of solving it in a certain way, etc. The math practices can be driven home through this (especially MP 1)!!!!