Exploring Quadratic Data
Students will analyze the vertex form of a parabola and find an approximate fit of a model. They will study the quadratic function (parabola) and its properties by developing quadratic models. They also use translation and dilation to change the general parabola.https://education.ti.com/en/activity/detail/exploring-quadratic-data
Handy Reflections
The purpose of this investigation is to: Revise plotting points on the Cartesian plane Use and understand aspect ratios Improve estimation skills Use a spreadsheet or a graphing calculator to draw a graph Learn how to reflect lines and points in the x & y axis.https://education.ti.com/en/activity/detail/handy-reflections
It's a Bug's Temp
Uses information provided in a table to determine what if any relationship exists between the air temperature and the temperature of an insect.https://education.ti.com/en/activity/detail/its-a-bugs-temp
Investigating Segments in a Triangle
In this activity, students investigate the midsegments of a triangle as in the previous activity. They continue to explore these segments and extend their understanding of the relationships that exist between the slopes of lines containing the segments. NCTM Geometry Standard covered: Analyze ch...https://education.ti.com/en/activity/detail/investigating-segments-in-a-triangle
Modeling Exponential Decay with a Look at Asymptotes
In this activity, students approximate exponential decay models by defining parameters A and B in the exponential equation y = abx. They identify non-zero asymptote form of an exponential function.https://education.ti.com/en/activity/detail/modeling-exponential-decay-with-a-look-at-asymptotes
Modeling Exponential Decay with a Look at Asymptotes - Activity 7
Students use sample data to approximate models with the Transformation Graphing Application. They are introduced to the idea of discrete data sets being used with continuous function models. They also identify non-zero asymptote form of an exponential function.https://education.ti.com/en/activity/detail/modeling-exponential-decay-with-a-look-at-asymptotes--activity-7
Maximizing the Area of a Rectangle
This activity is adapted from one of the TI books. Students measure lengths and widths of rectangles and record for the class to see. Each group's rectangle has the same perimeter, but different areas. After a discussion, students make predictions, a scatterplot, and quadratic regression. An exte...https://education.ti.com/en/activity/detail/maximizing-the-area-of-a-rectangle
Maximizing Your Efforts
Students use linear programming to solve problems involving maximum and minimum values. They use the Inequality Graphing application to solve linear programming problems.https://education.ti.com/en/activity/detail/maximizing-your-efforts
Minimum and Maximum Perimeter
The students will use varying numbers of tiles to form shapes, and then find the minimum and maximum perimeter for each.https://education.ti.com/en/activity/detail/minimum-and-maximum-perimeter
How Many Drivers? Investigate the Slope-Intercept Form of a Line
In this activity, students will be introduced to the slope-intercept form of a linear equation. They will recognize the effects of changes in the slope and y-intercept on the graph of a line. Students will use the Transformation Graphing application to find an approximate linear model of the actu...https://education.ti.com/en/activity/detail/how-many-drivers-investigate-the-slopeintercept-form-of-a-line
How Many Drivers? Investigating the Slope-Intercept Form of a Line
In this activity, students will be introduced to the slope-intercept form of a linear equation. They will recognize the effects of changes in the slope and y-intercept on the graph of a line. Students will use the Transformation Graphing application to find an approximate linear model of the actu...https://education.ti.com/en/activity/detail/how-many-drivers-investigating-the-slopeintercept-form-of-a-line
STOP
Students use an interactive page to calculate the speed of the car, given a stopping distance, and then approximate stopping distance, given the rate of the car.https://education.ti.com/en/activity/detail/stop
Greatest Area Activity
In this activity students will explore area as it compares to length of rectangles with a fixed perimeter by creating lists of the possible dimensions and the areas of these rectangles. Students will then graph a scatterplot of the data, find the quadratic regression, and explore the table of val...https://education.ti.com/en/activity/detail/greatest-area-activity_1
The Slope of the Tangent Line (Part1)
In this activity, students use the CellSheet™ Application to approximate the slope of a line tangent to a curve.https://education.ti.com/en/activity/detail/the-slope-of-the-tangent-line-part1
Maximum, minimum, increasing, decreasing
This StudyCards™ set is a teaching activity that uses real-world contexts to assist students in understanding the concepts of maximum, minimum, increasing, and decreasing. Use with Foundations for College Mathematics, Ch. 2.2.https://education.ti.com/en/activity/detail/maximum-minimum-increasing-decreasing
Maximizing Your Efforts
Students write an objective function and graph the system of inequalities to find the maximum profit from selling two types of game players.https://education.ti.com/en/activity/detail/maximizing-your-efforts
How Far Did You Walk?
In this activity, students will find the distance traveled when the velocity is constant by examining the area under the Velocity-Time graph and applying the formula d = r * t. They will also find the distance traveled for motion when the velocity is not constant by approximating the area under t...https://education.ti.com/en/activity/detail/how-far-did-you-walk
Old MacDonald's Pigpen
Students solve a standard maximum value problem using the calculator. Students help Old MacDonald build a rectangular pigpen with 40 m fencing that provides maximum area for the pigs. They graph scatter plots, analyze quadratic functions, and find maximum value of a parabola.https://education.ti.com/en/activity/detail/old-macdonalds-pigpen
Floral Shop Math
Students will create quadratic functions that model revenue collected and profit earned from selling bouquets in a flower shop. The students will use graphing calculators to identify the maximum value for each function. Once they identify the ordered pair that contains the maximum value the st...https://education.ti.com/en/activity/detail/floral-shop-math
Approximation of Pi
Students will measure the circumference and diameter of a variety of different circles. They will graph the class' values of (d,c) on the coordinate plane and use linear regression to approximate pi.https://education.ti.com/en/activity/detail/approximation-of-pi
Approximation of Pi Using an Area Model
Students will approximate pi by setting up trigonometric ratios and calculating the areas of regular polygons inscribed within and circumscribed about a circle.https://education.ti.com/en/activity/detail/approximation-of-pi-using-an-area-model
Box It Up
Students take a numerical and tabular look at finding the maximum value of an open box constructed by folding a rectangular sheet of material with cutout square corners. They also understand the concepts of independent and dependent variables.https://education.ti.com/en/activity/detail/box-it-up
Box It Up (A Graphical Look)
Students graph the relationship between the length of the sides of the cut-out squares and the volume of the resulting box. They trace the graph to decide the best square-size which can result in a box of maximum volume.https://education.ti.com/en/activity/detail/box-it-up-a-graphical-look
Transformations of y = x^2
Students will discover how to translate y = x^2 vertically, horizontally, and reflected over the x-axis.https://education.ti.com/en/activity/detail/transformations-of-y--x2
The Quest for Roots of Higher Order Equations
Students learn how to approximate the roots of any polynomial equation of any order by first using tables, and then by tracing along the graph to the point where the curve intersectshttps://education.ti.com/en/activity/detail/the-quest-for-roots-of-higher-order-equations