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
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
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
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
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
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
Permutations & Combinations
Students explore permutations and combinations by arranging letters when order does and does not make a difference.https://education.ti.com/en/activity/detail/permutations--combinations_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
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 Motion1
This lesson involves the motion of a particle along a straight, horizontal line.https://education.ti.com/en/activity/detail/particle-motion1
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
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
Parameters in Secondary School: Logistics Functions
Designed for prospective secondary mathematics teachers, this activity has students predict, test and justify the effects of changing parameters d and b for the logistic function family given by f(x) = a/(1+b(e)^(cx)) + d. Reflection questions draw attention to the role of claims and evidence, in...https://education.ti.com/en/activity/detail/parameters-in-secondary-school-logistics-functions
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
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
Quadratic Formula and Discriminant
This interactive quiz first steps students through the derivation of the quadratic formula by completing the square, and then generates random quadratics for which students need to show the steps of solving by first finding the value of the discriminant, and then using it in the formula. There ar...https://education.ti.com/en/activity/detail/quadratic-formula-and-discriminant
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
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
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
Composition of Functions
Students will determine the resulting functions produced from the composition of two functions. They will explore the graphical representation of the resulting function and support the algebraic solution by determining if the graphs coincide. Additionally, students will evaluate two points using ...https://education.ti.com/en/activity/detail/composition-of-functions
Systems of Linear Inequalities 1
Solutions to a system of linear inequalities is the intersection of each of the corresponding half planes.https://education.ti.com/en/activity/detail/systems-of-linear-inequalities-1
Sums and Difference of Cubes
Factor expressions that are either the sum of cubes or the difference of cubes.https://education.ti.com/en/activity/detail/sums-and-difference-of-cubes