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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

Graphing Linear Equations

Students investigate how vertical transformations affect the graph and the equation of the line.
https://education.ti.com/en/activity/detail/graphing-linear-equations

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

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

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

Sine and Cosine Identities

Students will explore the relationship between the measure of an angle and its sine and cosine. Students will develop two trigonometric identities: sinA / cosA= tanA sin2A + cos2A = 1
https://education.ti.com/en/activity/detail/sine-and-cosine-identities

From Expressions to Equations

Substitute values for variables, evaluate expressions, and solve equations.
https://education.ti.com/en/activity/detail/from-expressions-to-equations

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

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

Proof of Identity

Students use graphs to verify the reciprocal identities. They then use the handheld's manual graph manipulation feature to discover the negative angle, cofunction, and Pythagorean trigonometric identities. Geometric proofs of these identities are given as well.
https://education.ti.com/en/activity/detail/proof-of-identity_1

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

Permutations

Students are led through the development of the formula for finding n objects taken n at a time and then n objects taken r at a time.
https://education.ti.com/en/activity/detail/permutations_1

Parabola Construction

Students will construct a parabola using the focus and directrix definition. An extension problem has students explore how the location of the focus with respect to the directrix affects the shape of the parabola.
https://education.ti.com/en/activity/detail/parabola-construction_1

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

Radical Transformations

Students will use sliders to examine how the square root function is transformed on the coordinate plane.
https://education.ti.com/en/activity/detail/radical-transformations_1

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

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

Laws of Sines and Cosines - IB

Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.
https://education.ti.com/en/activity/detail/laws-of-sines-and-cosines_ns_ib

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

Modeling with a Quadratic Function

In this lesson, students use a quadratic function to model the flight path of a basketball. Students will interpret the parameters of the quadratic model to answer questions related to the path of the basketball.
https://education.ti.com/en/activity/detail/modeling-with-a-quadratic-function

Zeros of Polynomials

Students graph polynomials to determine the value and number of zeros for a given polynomial.
https://education.ti.com/en/activity/detail/zeros-of-polynomials

Hose Problem

Investigating the behaviour of water jets from a hose. Suitable for Year 10 extension or Year 11 students. Graphing parabolas, features of quadratic functions, regression lines. Using TI-Nspire.
https://education.ti.com/en/activity/detail/hose-problem

Maximizing the Area of a Garden

In this activity, students explore the area of a garden with a rectangular shape that is attached to a barn. Exactly three sides of the garden must be fenced. Students will sketch possible gardens and enter their data into a spreadsheet.
https://education.ti.com/en/activity/detail/maximizing-the-area-of-a-garden

Completing the Square Algebraically

Complete the square algebraically to rewrite a quadratic expression.
https://education.ti.com/en/activity/detail/completing-the-square-algebraically