Sum of Infinite Geometric Series
...stification for the following theorem: The sum of the infinite geometric series 1/2 + 1/4 + 1/8 + 1/16 + ... = 1. Students will be able to explain why the sum of an infinite geometric series is a finite number if and only if |r| < 1. Vocabulary geometric series infinite series rati...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-sum-infinite-geometric
Question-3
Question-3 global website What does your perfect learning/work space look like? ...https://education.ti.com/en/snapapp/calculate-your-color/question-3
Arithmetic Sequences and Series
...ve terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots whose points form a straight line. Arithmetic Sequences and Series Key Steps In problem one, students will use formulas t...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
Analyzing Country Data
...iew This activity involves sample listings of the ages of 200 people from each of three countries: USA, Kenya and Japan. Students will: Consider why a summary of ages is important and how a summary of the ages can be connected to a better understanding of the populations of each country. ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-analyzing-country-data
Graphing Relationships
...s activity, students explore information about a graph based on the first and second derivatives. They learn that a function's derivative is positive when the function increases and negative when the function decreases. They learn that the second derivative is positive when the graph is concave u...https://education.ti.com/en/ib/activities/analysis-approaches/84-graphing-relationships
Too Many Choices
...mula for permutations. In this investigation students will determine the number of paths that connect 2 cities for a given number of possible cities, where the order of the cities matters. Step 2 Students will use the general formula for permutations to discover the formula for combin...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices
How Dense Are We?
...interesting in that it doesn't make sense to talk about the number of people that live in a state or country as this quantity will most likely change whilst reading the actual value. Scientific notation and significant figures provide an order of magnitude which is a much better way of communicat...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-density
Gradient of a Function
...a tangent line determining if the gradient is negative, zero or positive. This information is used to complete a sign table as a lead in to stage two where the gradient is quantified and subsequently graphed by consideration of a set of points. In the final stage students can freely explore a qua...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-gradient
Question-8
Question-8 global website What makes you the happiest? MAKING A NEW FRIEND ENJOYING TIME OUTDOORS ...https://education.ti.com/en/snapapp/calculate-your-color/question-8
Volume
...oad to the handheld, this activity is meant to be done from different perspectives. Have the students alter the dimensions of the solids given to see what conclusions they can make about the volumes they find. Volume Downloads ZIP Volume.ZIP PD...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-volume
Can You Find Your Bearings?
...earings are usually given as a three-figure bearing. For example, 30° clockwise from the north is usually written as 030°. Bearings are commonly used when traveling by plane, boat, or just navigating a hike. Downloads ZIP Find Your Bearings.ZIP ...https://education.ti.com/en/ib/activities/analysis-approaches/84-can-you-find-your-bearings
Does a Correlation Exist?
...lot 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 difference between correlation and causation. Step 2 Lastly, students...https://education.ti.com/en/ib/activities/analysis-approaches/84-plus-correlation
Pebbling the Chessboard
...ics: Does a Correlation Exist? Students begin by exploring the Pebbling the Chessboard problem. It is not long before students challenge whether or not the problem has a solution. Rather than continuing with trial and error attempts, numbers are used to record the moves, leading to t...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-pebbling-chessboard
To Infinity and Beyond
...aches | Calculus .two-columns { display: grid; grid-template-columns: auto auto; } Objectives Develop an understanding of what it means to take a limit “at” infinity. Develop an understanding of behavior that prevents limits from occurring by means of chaos or osc...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Exploring Geometric Sequences
...e geometric sequences graphically and numerically by varying the values of the common ratio. Clicking 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 va...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences
Function, or Not a Function?
...is and Approaches | Functions Activity Overview In this lesson, students are presented with graphs and tables and asked to determine which represent functions and which do not. A function associates exactly one output value y with each possible input value x. If more than one out...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-function-or-not
Cool in the Pool
...auts 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 which the pool's heater stopped wor...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-nasa
Landing-page
Landing-page global website Whether you’re in the classroom or learning remotely this school year, take this quiz to find the hue for you! .main{background-image:url(/-/...https://education.ti.com/en/snapapp/calculate-your-color/landing-page
2D or Not 2D, That is the Question | TI-84 Plus CE Python
...s activity, students will differentiate between 2D and 3D polygons and shapes and how simple formulas, like midpoint and distance, alter depending on which you are dealing with. Students will then apply this knowledge to real life applications to enhance their ability to understand this math in b...https://education.ti.com/en/ib/activities/analysis-approaches/84-2d-or-not-2d
Graphical Derivatives
... Activity Overview Students will examine Graphs pages containing two graphs, a function, and its derivative. Students will determine which graph represents the function and which graph represents the derivative as well as justify their answer. In part II, students will be given a...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphical-derivatives
Rational Functions
...hese relationships graphically and algebraically. *Note: This activity includes optional IB support, including the IB Questions download for students who are preparing for the IB Exam. --> Downloads ZIP Rational Functions.ZIP PDF RationalFuncti...https://education.ti.com/en/ib/activities/analysis-approaches/84-rational-functions
Question-6
Question-6 global website You have the day off! What will you do with your free day? START A NEW PROJECT GO ON ...https://education.ti.com/en/snapapp/calculate-your-color/question-6
Investigating the Derivatives of Some Common Functions
... Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Calculus Activity Overview One of the many ways in which you can think of a derivative is as a function that uses x as an input and returns the slope of the line tangent to f at x. The derivative of...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-investigating-derivatives-common-functions
Angles of Depression and Elevation
...l Bearing Angle of Depression Alternate Interior Angles About the Lesson The prior knowledge needed for this activity is understanding what the angles of depression and elevation are and what their relationship is with one another. Students will revisit and apply their right triang...https://education.ti.com/en/ib/activities/analysis-approaches/84-angles-of-depression-and-elevation
Timeline
... 1967 TI invents the world’s first handheld electronic calculator While small enough to fit into the palm of a hand, the Cal-Tech is powerful enough to perform basic math functions. ...https://education.ti.com/en/snapapp/timeline