Unit Circle
...n of points and angles on the unit circle. Right triangle relationships are utilized to develop the relationship between angles and coordinates. Step 1 Students link their prior knowledge of special right triangles to identify coordinates for 30, 45, and 60 degree angles on the unit c...https://education.ti.com/en/ib/activities/analysis-approaches/84-unit-circle
Trig Ratios
Trig Ratios apcalculus website Students will use Cabri™ Jr. App to discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right tria...https://education.ti.com/en/ib/activities/applications-interpretation/84-trig-ratios
Vectors in Component Form
... Planning and Resources Vectors are used to represent quantities that have both magnitude and direction. There are a number of ways that 2D vectors can be represented. One of these representations involves expressing a vector r in terms of unit vectors i and j. This is known as compo...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-vectors-component-form
Summing Up Geometric Series
... these sequences and series using tables and graphs. Key Steps Students will find a partial sum of two geometric series. Step 1 Students will graph the series by generating a list with the cumulative sums of the terms of the sequence. Step 2 Student...https://education.ti.com/en/ib/activities/analysis-approaches/84-summing-up-geometric-series
Too Many Choices
...ne the number of different combinations of cake and frosting. After a discussion of the formula, students will use it to solve several problems. Step 1 Then, students will use the fundamental counting principle to discover the general formula for permutations. In this investigation st...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Trig Ratios
Trig Ratios apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Geometry and Trigonometry Trig Ratios Students will use the Cabri™ Jr. App to discover the r...https://education.ti.com/en/ib/activities/analysis-approaches/84-trig-ratios
Sum of Infinite Geometric Series
...sson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1. Objectives Students will understand how a unit square can be divided into an infinite number of pieces. Students will ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-sum-infinite-geometric
Arithmetic Sequences and Series
...ries Key Steps In problem one, students will use formulas to find the differences of the consecutive terms of a sequence. Step 1 Then, students will plot a scatter plot of each sequence and determine that sequences with common differences, also called arithmetic...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
SD Measure of Spread
SD Measure of Spread apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Statistics and Probability SD Measure of Spread This lesson is intended as an introdu...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-measure-of-spread
Graphing Relationships
...Steps Students will learn that a function’s derivative is positive when the function increases and negative when the function decreases. Step 1 Students will learn that the second derivative is positive when the graph is concave upward and negative when the graph is concave do...https://education.ti.com/en/ib/activities/analysis-approaches/84-graphing-relationships
Too Many Choices
... its formula. They will use the Segment tool to help them determine the number of different combinations. Each choice is represented as a point. Step 1 Then, students will use the fundamental counting principle to discover the general formula for permutations. In this investigation st...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices
Exponential Reflections
... Key Steps Students will plot the inverse of points from an exponential function to discover it is the natural log function. Step 1 Students will also explore the inverse of the function y = 10x. Step 2 Downloads ZIP 12276.ZIP ...https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-reflections
Does a Correlation Exist?
...lem has students investigate something different. They will create a scatter plot and use the calculator to find the equation of the regression. Step 1 Students use the regression line to find and predict an x-value when given a y-value and vice versa. They will also determine the dif...https://education.ti.com/en/ib/activities/analysis-approaches/84-plus-correlation
Exploring Geometric Sequences
...icking on the up or down arrow of the minimized slider while viewing a split screen of a graph and a spreadsheet makes this a dynamic activity. Step 1 Changing the values of both of the variables, first term and common ratio, of a geometric sequence gives students a deeper understan...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences
Arithmetic Sequences and Series
...quences and Series Key Steps Students will use formulas to find the differences of the consecutive terms of a sequence. Step 1 Students will move to page 2.1 and generate a sequence in Column B to display the first 30 terms. Step 2 In part 3, st...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-arithmatic
Taylor Polynomials
... diagram. Taylor Polynomials Key Steps Students will use tangent line approximation to examine different polynomials. Step 1 Students will use Taylor polynomials to approximate function values. Step 2 Downloads ZIP Taylor Polyno...https://education.ti.com/en/ib/activities/analysis-approaches/84-taylor-polynomials
Roll the Dice
...lator. Roll the Dice Key Steps Students will calculate the probability and graph the distribution of using unfair coins. Step 1 Students will calculate the probability of all possible outcomes of tossing three coins. Step 2 Students will graph the d...https://education.ti.com/en/ib/activities/analysis-approaches/84-roll-the-dice
Which Garage Is Better?
Which Garage Is Better? apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Functions Which Garage Is Better? Students are to find the solution to a system o...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-which-garage
Mission Celebration: Use Math to Mark the 50th Anniversary of the Apollo 11 Moon Landing
...alculators, and let’s take a look at some out-of-this-world activities to help students mark this milestone on the moon using math. Boom! On July 20, 1969, Neil Armstrong and Buzz Aldrin were on approach to Tranquility Base when Armstrong realized they were flying into a field of car-sized boulde...https://education.ti.com/en/bulletinboard/2019/july/missioncelebration
Solution 27230: Performing a Poisson PDF and Poisson CDF on the TI-83 Plus Family of Graphing Calculators.
...er that is greater than zero; x may be any real number or a list of real numbers. The syntax is as follows: poissoncdf(μ, x) Example: Given μ=6 and x=10 find the probability for the discrete Poisson distribution: 1) Press [2nd] [VARS] to access the DISTR menu 2) Press [ALPHA] [APPS] to select B:p...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/27230
Solution 23250: Toggling the Discontinuity Detection Setting on the TI-84 Plus Family Graphing Calculator to Show/Hide Asymptotes.
...ion", which will detect and remove lines that might not otherwise be drawn through discontinuities or asymptotes. For example, if the user has OS v2.21 installed on the TI-84 Plus family calculator, and graphs the function y = tan(x), the graph will look similar to: Using a TI-84 Plus family cal...https://education.ti.com/en/customer-support/knowledge-base/ti-83-84-plus-family/product-usage/23250
Solution 34032: Calculating the Eigenvalues and Eigenvectors of a Matrix Using the TI-Nspire™ Family Products.
...ectors of a matrix using the TI-Nspire family products, please follow the steps below. The matrix for this example is as follows: • Press [home], 1: New Document, 1: Add Calculator. • Press [menu], 7: Matrix & Vector, 1: Create, 1: Matrix. • Input 3 for Number or rows and 3 for Number of colu...https://education.ti.com/en/customer-support/knowledge-base/ti-nspire-family/product-usage/34032
Solution 34232: Finding Common Denominators on the TI-Nspire™ CAS Family.
...turns a reduced ratio of a fully expanded numerator over a fully expanded denominator. The syntax for comDenom is listed below. comDenom (expression1 [, var]) The example below will demonstrate how to find common denominators of an expression. ComDenom((y2 + y) /((x + 1)2) + y2 + y) • Press [h...https://education.ti.com/en/customer-support/knowledge-base/ti-nspire-family/product-usage/34232
Solution 35032: Calculating the Eigenvalue and Eigenvector of a Matrix on the TI-Nspire™ CAS Family.
... of a matrix on the TI-Nspire CAS family refer to the instructions below: Matrix for both of these examples is: a = [ 4 5 7 4 1 8 1 6 5] To create the matrix, insert a Calculator page and follow the steps listed below: 1) Press [menu] [7] [1] [1]. 2) Pre...https://education.ti.com/en/customer-support/knowledge-base/ti-nspire-family/product-usage/35032
Solution 39258: Create a New TI-Nspire Navigator Class Database.
...gator class database? To create a new TI-Nspire Navigator class database you would need to remove the existing database using the steps below:Windows:1) Close the TI-Nspire Navigator Teacher Software if it is open2) Press [Windows key]+[R] to open the run dialog then type the text below in the di...https://education.ti.com/en/customer-support/knowledge-base/ti-nspire-family/product-usage/39258