Tootsie Pops & Hand Span
Students will collect data, find the linear regression model of the data, and address aspects of the data that affect regression.https://education.ti.com/en/activity/detail/tootsie-pops--hand-span
Population Mean: σ unknown
Students calculate confidence intervals to estimate the true population mean when the standard deviation of the population is not known.https://education.ti.com/en/activity/detail/population-mean-σ-unknown
Catching the Rays
Students will fit a sinusoidal function to a set of data. The data are the number of hours of daylight starting January 1st and collected on the first and sixteenth days of the months in Thunder Bay, Ontario, Canada.https://education.ti.com/en/activity/detail/catching-the-rays
Multiplicity of Zeros of Functions
Students will utilize graphs and equations of five polynomial functions to determine the zeros of the functions and whether the functions cross the x-axis at these zeros or just touch the x-axis at the zeros. Then students will determine the degree of the polynomial functions and the effect the d...https://education.ti.com/en/activity/detail/multiplicity-of-zeros-of-functions
Multiplication & Division of Functions
Students will determine the resulting functions produced from the multiplication and division of two functions. They will explore the graphical representation of the resulting function and support their algebraic solution by determining if the graphs coincide. Additionally, students will evaluate...https://education.ti.com/en/activity/detail/multiplication--division-of-functions
Building Sequences and Series with a Spreadsheet
This lesson has students create sequences and series in a spreadsheet.https://education.ti.com/en/activity/detail/building-sequences-and-series-with-a-spreadsheet
Binomial Probability in Baseball
In this activity, students will explore the link between Pascal's Triangle, the Binomial Theorem, and binomial probability experiments.https://education.ti.com/en/activity/detail/binomial-probability-in-baseball
Make the Basket
Students will use parametric equations to model two physical situations: making a free throw (basketball) and hitting a home run (baseball). Students will begin exploring the models by using sliders to change to the angle and velocity of the shot or hit. They will then move the time slider to see...https://education.ti.com/en/activity/detail/make-the-basket
Unit Circle
Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.https://education.ti.com/en/activity/detail/unit-circle_1
Absolute Value
This lesson involves the family of absolute value functions of the form f(x) = a |x + c| + b.https://education.ti.com/en/activity/detail/absolute-value
Wrapping Functions
This activity introduces students to various functions of a circular angle. They are shown a unit circle and a point P that can be dragged around the circle. As the point is dragged, different measures are captured, including angle measures, linear distance, and the area of a sector. The activity...https://education.ti.com/en/activity/detail/wrapping-functions
Area Under a Curve
Students will approximate the area under a polynomial curve using rectangles. Each of the polynomials in this activity represents a real-world situation to enable students to see the importance of finding the area under a curve.https://education.ti.com/en/activity/detail/area-under-a-curve
Law of Sines
In this activity the student will explore the Law of Sines, a theorem involving sine ratios that applies to all triangles.https://education.ti.com/en/activity/detail/law-of-sines_2
How Cool It Is
This lesson involves creating an exponential regression equation to model the temperature of water as it cools.https://education.ti.com/en/activity/detail/how-cool-it-is_2
From Rumor to Chaos
This lesson involves modeling the spread of a rumor and similar problems.https://education.ti.com/en/activity/detail/from-rumor-to-chaos
Slope and Tangent
This lesson provides opportunities for students to explore the connections between the slope of a line and the tangent of the angle between the line and the horizontal.https://education.ti.com/en/activity/detail/slope-and-tangent
Focus/Directrix Definition of Conics
This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas.https://education.ti.com/en/activity/detail/focusdirectrix-definition-of-conics
Slider Template
In this activity, students learn to create a slider to use in various applications.https://education.ti.com/en/activity/detail/slider-template
Roots and Cobwebs
This lesson involves finding roots to equations using a method similar to those used by many calculators.https://education.ti.com/en/activity/detail/roots-and-cobwebs
Transformations of Logarithmic Functions
This lesson involves the family of logarithmic functions of the form f(x) = c*logb(x+a).https://education.ti.com/en/activity/detail/transformations-of-logarithmic-functions
Polar Conics
This lesson involves exploration of polar equations for conic sections.https://education.ti.com/en/activity/detail/polar-conics
The Unit Circle
Students will be able to describe the relationship between the unit circle and the sine and cosine functions. They will be also able to describe the shape of the sine and cosine curves after "unwrapping" the unit circle.https://education.ti.com/en/activity/detail/the-unit-circle
Summing up Geometric Series
This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.https://education.ti.com/en/activity/detail/sum-of-infinite-geometric-series
Outbreak
Students explore a geometric sequence related to an outbreak of the flu, extrapolate to make predictions based on given data, and apply summation notation to determine the sum of any number of terms, n, in a series.https://education.ti.com/en/activity/detail/outbreak
Constructing an Ellipse
Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at th...https://education.ti.com/en/activity/detail/constructing-an-ellipse_1