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Solving Inequalities Graphically

Students will solve inequalities graphically by setting bounds on the graph that represent the portions of the graph that satisfy the inequality. Each of the inequalities presented in this activity represent real-world situations, which should aid in students understanding the concept of inequali...
https://education.ti.com/en/activity/detail/solving-inequalities-graphically

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

Folding Parabolas

In this activity, students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value. They then calculate the average of the x-values of these points and discover that not only do all the points have the same x-value, but the average is equal to the...
https://education.ti.com/en/activity/detail/folding-parabolas

Graphs of Tangent, Cotangent, Secant, and Cosecant

The goal of this activity is for students to see how the graphs of tangent, cotangent, secant, and cosecant are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot. Students discover a way to relate each of th...
https://education.ti.com/en/activity/detail/graphs-of-tangent-cotangent-secant-and-cosecant

Graphs of Sine and Cosine

The goal of this activity is for students to see how the graphs of sine and cosine are generated and related to the unit circle. A point is animated around the unit circle as data points are captured to create a scatter plot.
https://education.ti.com/en/activity/detail/graphs-of-sine-and-cosine

Graph Sine and Cosine

Student will use the unit circle coordinates and angles to create the data that they will use to graph the sine and cosine functions and show the data is on the graph of them. The students will move a point in a graph to manually collect the data needed to make the graph. They will edit spreads...
https://education.ti.com/en/activity/detail/graph-sine-and-cosine

Graphing the Tangent to a Curve

Students will graph a function and the graph of the tangent line's slope as a point moves around the curve.
https://education.ti.com/en/activity/detail/graphing-the-tangent-to-a-curve

Properties of Logarithms - IB

In this activity, students will compare logarithmic properties to their exponential counterparts.
https://education.ti.com/en/activity/detail/properties-of-logarithms

Introducing Absolute Value

This activity introduces absolute value from a data value perspective. Students examine data by comparing individual data points to the mean by finding the difference (positive or negative) and the distance from the mean. They then plot the distances vs. the differences and examine the shape of t...
https://education.ti.com/en/activity/detail/introducing-absolute-value

Graphs of Linear Functions

Students investigate the connections between the points on a line and the equation of the line written in slope-intercept form.
https://education.ti.com/en/activity/detail/graphs-of-linear-functions

Power Function Inverses

Examine the graphs of power functions with even and odd integer powers.
https://education.ti.com/en/activity/detail/power-function-inverses

Polynomials: Factors, Roots and Zeroes

Investigate graphical and algebraic representations of a polynomial function and its linear factors.
https://education.ti.com/en/activity/detail/polynomials-factors-roots-and-zeroes

Horizontal and Vertical Lines

Examine the vertical and horizontal changes when moving from one point to another on a line.
https://education.ti.com/en/activity/detail/horizontal-and-vertical-lines

Parabolic Paths

Manipulate the equation of a quadratic function so that its graph passes through a particular point.
https://education.ti.com/en/activity/detail/parabolic-paths

Polar Conics

This lesson involves exploration of polar equations for conic sections.
https://education.ti.com/en/activity/detail/polar-conics

Properties of Parabolas

This investigation offers an approach to show students the basic definition of a parabola as the locus of all points equidistant from a fixed point (focus) and a fixed line (directrix). Students will also interpret the equation for a parabola in vertex form and gain a visual understanding of a pa...
https://education.ti.com/en/activity/detail/properties-of-parabolas

Particle Motion 2

This lesson involves the motion of a particle along a straight, horizontal line associated with a general position function.
https://education.ti.com/en/activity/detail/particle-motion-2

The Function Elevator

This lesson involves creating and comparing graphical representations of position and velocity functions from a scenario.
https://education.ti.com/en/activity/detail/the-function-elevator

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

Polar Point Plotting

The student will be given a brief overview of the Polar Coordinate system. Students will be able to manipulate the radius of a polar point while graphing it on the plane or manipulate the angle and see the polar coordinate graphed on the plane. This activity is meant as an introduction to polar p...
https://education.ti.com/en/activity/detail/polar-point-plotting

Rational Roots of Polynomial Functions

In this activity, students apply the Rational Root Theorem in determining the rational roots of 4 polynomial functions. Results of the application of the theorem are compared to results obtained graphically to identify the presence of irrational roots.
https://education.ti.com/en/activity/detail/rational-roots-of-polynomial-functions

Remember When

In this activity, students will model the relationship between the year and average income, average price of a house, and average price of a car using exponential functions. Then students will answer questions related to the models to gain a deeper understanding of exponential functions.
https://education.ti.com/en/activity/detail/remember-when

Compound Interest

This lesson involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.
https://education.ti.com/en/activity/detail/compound-interest

NASA - Newton's Cool in the Pool

To prepare for spacewalks, astronauts train at NASA's Neutral Buoyancy Laboratory (NBL). NASA also uses the NBL to develop flight procedures and verify hardware compatibility -- all of which are necessary to achieve mission success. In this problem, students are presented with a power outage, in...
https://education.ti.com/en/activity/detail/nasa--newtons-cool-in-the-pool

Compositions Graphically

Students will use graphs and tables to find compositions of functions. Two of the compositions presented in this activity represent real-world situations, which should aid in students understanding the concept of compositions.
https://education.ti.com/en/activity/detail/compositions-graphically