exploring sticky problems in algebra ii using algorithms
DESCRIPTION
Teaching and doing TI-83 BASIC programming in Algebra II. Exploring Sticky Problems in Algebra II using Algorithms. Liz McClain and Steve Rives NCTM, October 2007, Kansas City www.NCTM.mrrives.com. Exploring Possibilities. You Can Do It! … They Need You To. Programs: Simple and Powerful. - PowerPoint PPT PresentationTRANSCRIPT
Teaching and doing TI-83 BASIC programming in Algebra II
Liz McClain and Steve RivesNCTM, October 2007, Kansas City
www.NCTM.mrrives.com
:Input "Real Comp: ",R:Input "Imaginary: ",I:Input "Size: ", S:ClrDraw:For(J,1,94) :For(K,1,64) :0->C :R+J*S->A :I+K*S->B :0->G :0->H :Pt-On(J,K) :Lbl TP :C+1->C :G^2 - H^2->T :2*G*H+B->H :T+A->G :G^2+H^2->V :If C>=25:Goto EP :If V>=4:Goto EP :Goto TP :Lbl EP :If V>4:Pt-Off(J,K) :End:End
Problem Solving with Algorithms
Exploring Patterns with Algorithms
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive? I.e., where is f(x) > 0
How can we find the roots?
Math Knowledge Thinking
Chair
Assign open-ended problems
Algorithms Promote THINKING.
f(x) = 6x4 – x3 + 4x2 – x – 2
List all factors of p and all factors of q Loop through all p/q Check to left and right of each root to
find where function is positive or negative
Print results in interval format
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive? I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
f(x) = 6x4 – x3 + 4x2 – x – 2
Where is f(x) positive. I.e., where is f(x) > 0
An Open Ended Problem
YOU CAN PROGRAM! Pass it along…
3D-Rotation and Rendering (Trig) Monte Carlo Method (Calc) Newton’s Method (Calc) Snake Game (Algebra I and II) Finding Roots (Algebra II) Gaussian Elimination (College) Fractals and Complex Numbers (Pre Calc) Finding area under the Bell Curve for z-
scores using a for loop taking small steps (Pre Calc).