11/13/24 – Discriminant

Summary: Today we learned several new vocabulary words.

  • Perfect Square – A number whose square root is a whole number
    (example: 4, 9, 36)
  • Perfect Square*– A number whose square root is a rational number (0.5, 3/4, 1.5)
  • Rational Number – A number that can be expressed as a fraction
    (example: 3, 4/5, 1.8)
  • Irrational Number A number that cannot be expressed as a fraction. It is a number that is a decimal that goes on forever with no pattern.
    (example: π, √2, √5)

We also learned how to find the discriminant which can be found using the formula b2-4ac.

The discriminant can tell you some important things about your quadratic (degree 2) equation.

If the Discriminant is…

  • A Perfect Square*, then the solutions to the equation are rational numbers.
    Which means that  the polynomial is factorable.
  • Not a Perfect Square*, then the solutions to the equation are irrational numbers.
    Which means that  the polynomial is  not factorable

Homework: HW10

11/13/24 – Quiz App Show and Tell

  • Turtle Challenge #14
  • Quiz Apps Gallery
    • Check out other people’s apps
    • Leave comments in the spreadsheet linked above
    • Turn in your “Design Specification” (Blueprint) sheet.
  • Mx. Epstein’s Quiz App (CA-18)
    • Check out Mx. Epstein’s Quiz App
    • Notice and Wonder: Asks questions about the app
    • “Fix” the app so that the restart button resets things appropriatly
    • Submit your fixed version here.