Exploring Mathematics

These interactive notes teach students the vocabulary of quadratic functions and their graphs as well as insight into how the a and c values of basic quadratics of the form y=x^2+c impact how a parabola looks. Notes begin by having students sort a list of quadratic functions into linear, quadratic, and other. Then, vocabulary such as parabola, vertex, maximum, minimum, and axis-of symmetry is introduced. Next, students to look at equations and their graphs to deduce how changes in a and c c

These Equations as Relations Notes help students to truly understand what it means to be a solution of a linear equation by having them explore them both algebraically and graphically. Special emphasis is placed on the idea that 'infinitely many solutions' does not mean the same thing as 'all solutions' that was used when solving equations with one variable. The back of the page teaches students how to calculate solutions when given the domain. I typically have students work in partners to co