Reflection: Staircase of Complexity Equations, Tables, and Graphs Day 1 - Section 4: Saving Money and Practice


Some of my students were struggling to generate an equation to match Carlos’ situation.  I chose to offer students a variety of equations.  On the board I wrote:

a)      y = 100 + x

b)      y = 50x + 100

c)       y = 100x

d)      y = 100x + 50

e)      y = 150x

Students worked in partners to determine which of these equations matched Carlos’ situation.  When we came back together, I asked students to identify one equation that did not match and explain why.  Students used the data in the table and graph to prove their ideas.  When a student mentioned (b), I declared that(b) did work since for the first month 50 x 1 + 100 = $150.  I wanted students to tell me that even thought it worked for the first month, the equation did not work for the other months. I also did this for equation (e).   Then we talked about why (d) correctly modeled Carlos’ situation.  Students were engaging MP3: Construct viable arguments and critique the reasoning of others.

  Choosing an Equation to Fit Carlos' Situation
  Staircase of Complexity: Choosing an Equation to Fit Carlos' Situation
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Equations, Tables, and Graphs Day 1

Unit 6: Expressions, Equations, & Inequalities
Lesson 8 of 20

Objective: SWBAT: • Define and identify independent and dependent variables. • Use and create a table to display data. • Use and create a line graph to display data. • Write an algebraic equation that fits a given situation. • Solve one-step and two-step equations.

Big Idea: What are independent and dependent variables? Students work on creating equations, tables, and graphs to represent various situations.

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Math, Algebra, Expressions (Algebra), tables and graphs, dependent variable, independent variable, 6th grade, master teacher project, learn zillion, equation
  50 minutes
calculator and apple
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