Students and Teacher discuss the notion of setting up activity and collecting data:
How might we
Students collaborate for 5 to 10 minutes and we return to group discussion:
Firm decision is made on
PART TWO -
Students are chosen to:
PART THREE -
Students plot the data points on provided graph paper or LAB REPORT TEMPLATE:
Each output point must be ACCURATELY graphed
Draw a Best Fit line through the points
Inspect lines...What do you notice? What type of functions MIGHT these lines represent?
Students explore mathematical implications of the shape:
Consider the shape of the
Extension Activity One:
PART FOUR -
Students consider (FIX AND FINISH THIS SECTION):
Begin with the Master Equation for a function we learned in the FOUR QUESTIONS exercises.
How might we expand the (x - h) binomial and rewrite the equation?
How might we determine which are like terms based upon our knowing input the variable?
Organize your new expression into Polynomial Form. y(x) = . . .
Given y(x) = ax^2 + bx + c consider the following questions:
~ Which variable (or cluster) in your equations might you predict to correlate to the "a" term? ~ Which variable (or cluster) in your equations might you predict to correlate to the "b" term? ~ Which variable (or cluster) in your equations might you predict to correlate to the "c" term?
Now use this insight to convert all of your vertex form equations into polynomial form equations.
Write the polynomial form equation under the graph of each curve...right below your vertex forms.
PART FIVE - A Calculus Interlude
PART SIX -
PART SEVEN -
Extension Activity Two:
PART EIGHT - Dr. Taylor's Excel Coding Labs
Click here for EXCEL CODING TEMPLATE
Dr. Taylor's YouTube Lessons (Independent Instruction)
Projectile Motion Lab: "You're the Sports Scientist"