THE LIZZIE METHOD Take, for example, the following quadratic equation: 6x2+13x+6=0 Multiply 6, the leading coefficient, by 6, the last number in the equation. 6 x 6=36
Find the two numbers that will multiply to 36 and also add to 13, the middle number. 4 x 9=36 4+9=13 This is the same way the Split Method starts out, but here is where it changes.
Now, simply divide each of these numbers by 6, the leading coefficient. 4/6 and 9/6 reduce to 2/3 and 3/2 At this point, rewrite the equation. (x+2/3) (x+3/2)=0 Now find the two possible solutions x= -2/3 and -3/2
To put the equation in its factored form, the fractions must be cleared. Step back to (x+2/3) (x+3/2) +0 and bring each denominator over to its x. (3x+2) (2x+3)=0 Voila! You have solved for the zeroes of the equation and put it into its factored form.
Shared Reading is the practice of reading collaboratively with students. Students can follow along silently while the teacher reads aloud. Another difference is that in shared reading there is a lesson specifically related to a comprehension strategy, text feature, or reading behavior.