Reflection: Staircase of Complexity Where Do the Lines Cross? - Section 1: Opening


I like to use this lesson in my classes at this point in the unit because it does a nice job of spiraling back to multiple representations of linear equations and some basic systems of equations ideas.  For my students, who often struggle academically or have significant education gaps, this activity introduces them to solving systems of equations algebraically in a way that is easy for them to access:

  1. First they see a system in a table and a graph (and we can review key ideas here about starting point and rate of change).
  2. Next, we can move into setting two expressions equal to each other to solve. 

Rather than introducing them to a more skill based method of solving by substitution, this lesson builds on a representation that students can relate to.  From there, we can move into more complicated problems.

  Spiraling back to multiple representations
  Staircase of Complexity: Spiraling back to multiple representations
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Where Do the Lines Cross?

Unit 3: Systems of Equations and Inequalities
Lesson 6 of 17

Objective: SWBAT activate prior knowledge about systems of equations to make a business recommendation based on multiple representations. SWBAT connect this work to solving systems algebraically, namely by using substitution.

Big Idea: How can we figure out the exact value of x and y when two lines cross? Students learn the importance of solving systems of equations using algebraic methods.

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