Reflection: Developing a Conceptual Understanding Solving Equations - Section 1: Bell work


When I explain why we may get a false solution I work with students to see how doing some algebraic techniques can change the function. This resource shows a little of what I do with example 2 from the bell work.  We begin by looking at the 2 sides of the equation on different graphs. The class will rewrite the original equation by multiplying by the common denominator so the students get 2=(x-2)+(x-4). I graph each side again to show how the graphs of each side of the equation has changed. Next I overlay one graph onto the other side (this can be challenging but using transparency tools it is possible) I line up the axes and then show how the new equation intersect while the original equation do not intersect.

Seeing ideas visually helps student develop the understanding needed to realize why we get extraneous solutions.

  Developing a Conceptual Understanding: Explaining extraneous solutions
Loading resource...

Solving Equations

Unit 10: Solving Equations
Lesson 1 of 6

Objective: SWBAT apply algebraic techniques to solve different forms of algebraic equations.

Big Idea: Students are reminded of the power of algebra as a general problem solving tool.

  Print Lesson
Add this lesson to your favorites
Math, solving equations, Applications of equations
  55 minutes
Similar Lessons
Investigating a Radical Function
Algebra II » Radical Functions - It's a sideways Parabola!
Big Idea: A single radical function, carefully studied, leads students to important conclusions about inverse functions and extraneous solutions.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Quadratic Function Jigsaw
12th Grade Math » Polynomial and Rational Functions
Big Idea: Use a jigsaw grouping technique to review quadratic functions.
Troy, MI
Environment: Suburban
Tim  Marley
Rational Approaches to Solving Rational Equations
12th Grade Math » Rational Functions and Equations
Big Idea: Factoring polynomials and simplifying fractions while solving equations are key skills to review at the start of this unit.
Phoenix, AZ
Environment: Urban
Tiffany Dawdy
Something went wrong. See details for more info
Nothing to upload