Introduction to CAS. Adding polynomials, solving equations, factoring trinomials, expanding
This series of activities provides an introduction to some Algebra concelpts using CAS. The activities start with Algebra tiles and CAS. Patterning is modelled for the students so that they can construct the knowledge rather than be given a set of rules. The activities look at adding and subtr...https://education.ti.com/en/activity/detail/introduction-to-cas--adding-polynomials-solving-equations-factoring-trinomials-expanding
Taylor Polynomials
Taylor Polynomials apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Probability and Statistics Activity Overview Taylor polynomial approximat...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-taylor-polynomials
Taylor Polynomials
Taylor Polynomials apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Calculus Activity Overview Students will explore the definition of a func...https://education.ti.com/en/ib/activities/analysis-approaches/84-taylor-polynomials
Solution 12136: Factoring an Expression on the TI-89 Family and Voyage 200 Graphing Calculators.
Solution 12136: Factoring an Expression on the TI-89 Family and Voyage 200 Graphing Calculators. Solution 12136: Factoring an Expression on the TI-89 Family and Voyage 200 Graphing Calculators. global Solution 12136: Factoring an Expression on the TI-89 Family and Voyage 200 Graphing Calc...https://education.ti.com/en/customer-support/knowledge-base/other-graphing/product-usage/12136
MacLaurin Polynomials
Students will use the TI-89 to investigate MacLaurin polynomials. They produce polynomials that approximate very special functions.https://education.ti.com/en/activity/detail/maclaurin-polynomials
AP® Calculus | BC6 2019 Module | Texas Instruments
Review practice questions involving Taylor polynomials and Maclaurin series. Explore videos and calculator tips for AP Calculus BC exam prep. Get details. AP® Calculus | BC6 2019 Module | Texas Instruments apcalculus website ...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence3/2019-bc6
AP® Calculus | BC2 2020 Module | Texas Instruments
Examine practice questions for the AP Calculus BC exam. Look at parametric velocity values, derivatives, Euler’s Method and Taylor polynomials. Explore more. AP® Calculus | BC2 2020 Module | Texas Instruments apcalculus website ...https://education.ti.com/en/resources/ap-calculus/taylor-polynomials-power-series/sequence4/2020-bc2
Fundamental Theorem of Algebra
Students generate random polynomials and observe the distribution of the zeros on the complex plane. From the distributions students are able to draw conclusions about the zeros, and therefore roots, of a polynomial in order to gain a better visual understanding of the Fundamental Theorem of Alge...https://education.ti.com/en/activity/detail/fundamental-theorem-of-algebra
Kickstart AP® Precalculus: Fresh Strategies for Exploring Polynomials and Rates of Change
Kickstart AP® Precalculus: Fresh Strategies for Exploring Polynomials and Rates of Change webinars website T³™ Professional Development | For Teachers and Teams | Online Learning | Live T³™ Webinars ...https://education.ti.com/en/t3-professional-development/for-teachers-and-teams/online-learning/on-demand-webinars/2024/sept-10-2024-kickstart-ap-precalculus-fresh-strategies-for-exploring-polynomials
Factoring Special Cases
Students explore geometric proofs for two factoring rules: a2 + 2ab + b2 = (a + b)2 and x2 – a2 = (x – a)(x + a). Given a set of shapes whose combined areas represent the left-hand expression, they manipulate them to create rectangles whose areas are equal to the right-hand expression.https://education.ti.com/en/activity/detail/factoring-special-cases_1
Helping students learn how to use built-in functions on the TI nspire
Students will follow step-by-step directions to become familiar with how to use the TI nspire's built in functions. Tutorial includes converting to decimal, approximating fractions, finding remainders, finding LCM, using factorials, creating mixed numbers, and factoring numbers to their prime fac...https://education.ti.com/en/activity/detail/helping-students-learn-how-to-use-builtin-functions-on-the-ti-nspire
MacLaurin Polynomials
Students will use TI-Nspire technology to explore MacLaurin polynomials. They will develop polynomials that approximate very special functions.https://education.ti.com/en/activity/detail/maclaurin-polynomials_1
Graphical Analysis
Students will analyze graphs of polynomials finding intervals over which the function is increasing or decreasing and positive or negative, as well as the function’s relative minimum and maximum values and x- and y-intercepts.https://education.ti.com/en/activity/detail/graphical-analysis
Taylor Polynomials with CAS
Powerful tool for discussing graphs of Taylor polynomials.https://education.ti.com/en/activity/detail/taylor-polynomials
Taylor Polynomial Examples
Taylor polynomials associated with five common functions.https://education.ti.com/en/activity/detail/taylor-polynomial-examples
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
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
Application of Polynomials
Students use the volume formula to find cubic polynomials in order to determine the dimensions of four different-size boxes used for packaging trash bags.https://education.ti.com/en/activity/detail/application-of-polynomials
The Letter Product Game
This activity will encourage students' powers of deduction through a word game. This will allow a review of factoring integers. A simple extension allows a classroom discussion that will evolve into the Zero Product Theorem, essential to the technique of solving polynomial equations by factoring.https://education.ti.com/en/activity/detail/the-letter-product-game
Prodigious! Quadratics and Free Fall Motion
Uses the movie "October Sky" as an introduction to the study of free fall motion functions. Acts a summation activity to a quadratic unit in Algebra Solve quadratic equations by graphing, factoring, and the quadratic formula.https://education.ti.com/en/activity/detail/prodigious-quadratics-and-free-fall-motion
Polynomial Addition, Subtraction
This StudyCards™ stack teaches that, when linear functions are added, the slope of the sum is equal to the sum of the slopes, likewise for y-intercepts. Includes quadratic and up polynomials. Use with Foundations for College Mathematics, Ch. 3.2.https://education.ti.com/en/activity/detail/polynomial-addition-subtraction
Polynomial Multiplication
This StudyCards™ set shows that the product of linear functions (polynomial) is usually quadratic. Students discover the exact product and more traditional methods for multiplying polynomials. Use with Foundations for College Mathematics, Ch. 3.3.https://education.ti.com/en/activity/detail/polynomial-multiplication
More difficult factoring
To check sign placement for factoring of trinomials when the coefficient in front of the x square is greater than one and the signs are different.https://education.ti.com/en/activity/detail/more-difficult-factoring
One of the Many Ways
Students graph polynomials to determine the value and number of zeros for a given polynomial.https://education.ti.com/en/activity/detail/one-of-the-many-ways
FACTORED POLYNOMIALS
The students will identify x-intercepts of polynomials and then write their own equations for polynomials.https://education.ti.com/en/activity/detail/factored-polynomials