Students are given data, asked to find the finite differences, and then use this to find a polynomial that models the data. Requires TI 83/84 Technology.
Students use confidence intervals to estimate the difference of two population proportions.
Texas Instruments activity showing dilations.
Texas Instruments lesson comparing the cost of three different scenarios for a dinner party and the significance of slope and y intercept in each situation.
Texas Instruments activity exploring distances in the coordinate plane in order to classify shapes.
Texas Instruments activity that uses linear regression specifically to calculate a correlation coefficient.
Students explore a variety of mathematical functions and real world applications of functions to understand the concepts of domain and range.
Texas Instruments activity with exponential growth where a tree doubles in growth every year.
In this activity, students develop an understanding of the relationship between a number and its square root. They will first recognize perfect squares and order them from least to greatest with other numbers. Then students will estimate the square root of a number using perfect squares. Requires TI technology.
Students will discover the equation of circles of the form (x – h)^2+ (y – k)^2= r^2, where (h, k) is the center of the circle and r is the radius of the circle.
Students explore the key features of the parabola, both geometrically and algebraically.
Students will determine that the inverse of the exponential function is the natural log function by plotting the inverse of exponential solution points.
Students learn how to find and label extrema using first and second derivatives, be able to inspect a graph and determine which extrema the function has, and be able to use trace, fMin, and fMax to verify the computed answers and find critical values for parametric functions.
In this activity, students will work with composite numbers to find their prime factorizations in exponent form. They will create factor trees and use division as a means to finding prime factors. An extension involving finding a common denominator for two fractions is given at the end of the activity.
Sinusoidal regression is used to determine equations to model various data sets and the equations are used to make inferences.
Students simulate a geometric distribution of rolling a die to determine experimental probabilities and calculate theoretical probabilities.
Students find common ratios of geometric sequences on a spreadsheet and create scatter plots of the sequences to see how each curve is related to the value of the common ratio and/or the sign of the first term of the sequence.
Students will explore the perpendicular bisector theorem and discover that if a point is on the perpendicular bisector of a segment, then the point is equidistant from the endpoints.
In this activity, students apply the Fundamental Theorem of Algebra in determining the complex roots of polynomial functions. The theorem is applied both algebraically and graphically.
Students observe the derivative as an indicator of increasing/decreasing function behavior. They also see that the derivative is an indicator of local maxima/ minima function behavior. Students learn to associate the graph of a function with its derivative. REQUIRES TI 83/84 TECHNOLOGY