Reflection: Grappling with Complexity The Ellipse (Day 3 of 3) - Section 2: General form of an Ellipse


On the Solving equations test my students struggled with question 2.  There were 2 main issues students had on this question. The first was working with the fraction and either finding a common denominator or multiplying both sides by the common denominator.

The other issue was multiplying binomials.  As we work on writing the standard form equation into general form on the example I am able to work again with the students over these  issues.  On page 2 of the resource you can see that I went to the side of the board to multiply the out the binomials.  Many students are still struggling with using shortcuts to multiply a the squared binomials. I let the students explain how to multiply and write the steps out.

Once the students have the binomial multiplied the next issue is distributing the constant. Again I write out each step so that the students see how to do the process.

Many times I have a student say I have another way to do the problem.  I have the students explain the method.  These students commonly share that (a+b)(a+b) has a middle term of 2ab.  We look at our work to show the class how that works. 

  Grappling with Complexity: Dealing with Algebra Misconceptions
Loading resource...

The Ellipse (Day 3 of 3)

Unit 5: Conics
Lesson 7 of 13

Objective: SWBAT rewrite standard form equations into general form and vice versa.

Big Idea: How can I determine the equation is an ellipse by looking at the equation.

  Print Lesson
2 teachers like this lesson
Math, ellipse, conic sections, Conics
  50 minutes
copy of ellipse
Similar Lessons
What is Algebra?
Algebra II » Modeling with Algebra
Big Idea: Algebra is built on axioms and definitions and relies on proofs just as much as geometry.
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Conics Sections with Princess the Dog
12th Grade Math » Conic Sections
Big Idea: Students will refresh their knowledge of conic sections using an interactive format.
Troy, MI
Environment: Suburban
Tim  Marley
Rabbit Run -- Day 2 of 2
Algebra I » Quadratics!
Big Idea: Students look for and express regularity in repeated reasoning (MP8) as they generalize a formula.
Boston, MA
Environment: Urban
Amanda Hathaway
Something went wrong. See details for more info
Nothing to upload