Reflection: Diverse Entry Points Graphing the Big Picture - Section 2: Put it into Action


I tend to think of students who are below grade level when I think of diverse entry points but this activity reminded me that it can also apply to students who are advanced or who think "outside the box".  This sample shows an interesting approach to solving an absolute value problem and was even more interesting when the student explained how he came up with it.  He said that he always got confused about absolute value but he knew that it had answers to the right and left on a number line, so he drew his picture to have answers that were up and down from the point of reflection.  I was impressed both by his reasoning and appreciated his sharing it with the class, as there may be other students who think more visually like him.  We discussed as a class whether both answers made sense in this context and they decided that the positive (above water) value was the one that worked for someone sitting on a dock.  That made the student's sample even more useful than the traditional method I've shown on the notecard below the student work.  By connecting his solution to a diagram of the problem, this student made it easy for all his classmates to see which answer was viable.

  Diverse Entry Points: Novel Approach
Loading resource...

Graphing the Big Picture

Unit 6: Algebraic Reasoning
Lesson 5 of 7

Objective: SWBAT solve real-world problems involving rational, radical and exponential equations and inequalities.

Big Idea: Trouble getting your students to see the big picture? Try this lesson combining graphing with real-world problems.

  Print Lesson
Add this lesson to your favorites
Math, algebraic relationship, graphing inequalities, Algebra, rational equations, radical equations, Algebra II, master teacher project, 11th Grade, graphing technology
  50 minutes
big picture
Similar Lessons
The Constant Area Model, Day 1 of 3
Algebra II » Modeling with Algebra
Big Idea: An algebraic model reveals interesting aspects of a geometric situation we might not see otherwise.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Another Rational Approach to Solving: Graphing
12th Grade Math » Rational Functions and Equations
Big Idea: Students use their knowledge of solving systems to write a system that makes the solution to a rational equation visible.
Phoenix, AZ
Environment: Urban
Tiffany Dawdy
Equivalent Line Segments
Algebra I » Mini Unit: Patterns, Programs, and Math Without Words
Big Idea: Students can see the limitations of the guess and check strategy as they use it to solve problems in one variable, and they can compare problems with one unknown to problems with two.
Worcester, MA
Environment: Urban
James Dunseith
Something went wrong. See details for more info
Nothing to upload