Reflection: Student Ownership Quiz and Intro to Graphs of Polynomials - Section 3: Group Time to Generate Questions


In my own enthusiasm for the content, it can sometimes be difficult to stop myself from simply dictating what is interesting or intriguing to me. It can be equally difficult to trust that, if left to their own devices, students can and will recognize their own patterns and ask their own questions. By the time students reach high school it is sadly common that their enthusiasm for inquiry has been stifled. It takes time to get it back, but is well worth the effort.

In this exercise, I ask students to look at some mathematics and ask their own questions: first individually, then in collaboration with a small group of peers, and finally as a large group analysis of the ‘best questions.’ Hesitant students might need an initial probe from me. I might ask, “If you were a scientist and wanted to sort these graphs, how would you do that? How about the equations? Do your sorted groups help you see any patterns?”

It would be a lot faster and easier if I simply wrote my question on the board at the start: “Is there a relationship between the degree of a polynomial and the shape of its graph?” However, when the students inevitably ask this question themselves, along with several other probing questions, they own this lesson and are more motivated to find the answers. There is hardly a question they can ask that will not take us in a direction that is rich, useful, and even standards aligned.

  Directing Student Inquiry
  Student Ownership: Directing Student Inquiry
Loading resource...

Quiz and Intro to Graphs of Polynomials

Unit 4: Polynomial Theorems and Graphs
Lesson 8 of 15

Objective: SWBAT demonstrate understanding of polynomial theorems and ask good questions about the graphs of polynomial functions.

Big Idea: The graph of a polynomial can look a variety of ways depending on the degree, lead coefficient, and linear factors.

  Print Lesson
4 teachers like this lesson
Similar Lessons
The Fundamental Theorem of Algebra
Algebra II » Higher-Degree Polynomials
Big Idea: Just how many solutions does this polynomial have?! Exactly the same number as its degree!
Fort Collins, CO
Environment: Suburban
Jacob Nazeck
Rational Functions and Inequalities Formative Assessment
12th Grade Math » Polynomial and Rational Functions
Big Idea: Use a Quick Quiz to see if students understand rational functions and inequalities.
Troy, MI
Environment: Suburban
Tim  Marley
Adding and Subtracting Polynomials
Algebra I » Polynomials
Big Idea: Students will gain a conceptual understanding of polynomials and like terms with the use of manipulatives.
Washington, DC
Environment: Urban
Noelani Davis
Something went wrong. See details for more info
Nothing to upload