Sampling Techniques | TI-83 Plus and TI-84 Plus family | Stats & Probability
...y collect data. When this happens, taking a sample, a small group chosen from the population, of the data would be an easier approach. Students will explore questions that provide real world examples ,where students will be discussing and using the following sampling techniques: ...https://education.ti.com/en/ib/activities/analysis-approaches/84-sampling-techniques
Sum of Infinite Geometric Series
...nd a justification 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 ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-sum-infinite-geometric
Five-Figure Summary (Give Me Five)
...stics and Probability .two-columns { display: grid; grid-template-columns: auto auto; } Give Me Five Objectives Students will explore tree diagrams and expected values. Students will be asked to differentiate between independent and dependent events, as well as combining pr...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-give-me-five
Analyzing Country Data
...o-way frequency table. Students will be able to interpret conditional probabilities from a two-way table. Students will be able to interpret expected values from a simulation as an estimate of outcomes. Students will be able to interpret expected values as an indication of association...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-analyzing-country-data
Graphing Relationships
Graphing Relationships apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Calculus Activity Overview In this activity, students explore informat...https://education.ti.com/en/ib/activities/analysis-approaches/84-graphing-relationships
Too Many Choices
...Many Choices Students investigate the fundamental counting principle, permutations and combinations. Key Steps Students will explore the fundamental counting principle and discover its formula. They will use the Segment tool to help them determine the number of different c...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices
Just Move It
Just Move It apcalculus website In this activity for the TI-84 family, the movements of the parent functions f(x)= x² and f(x)= x³ will be explored. Just Move It Math...https://education.ti.com/en/ib/activities/analysis-approaches/84-just-move-it
Gradient of a Function
...e Steepness Tangent Sign Gradient of a Function In stage one of this activity students use the interactive features of TI-Nspire to explore gradient via a tangent line determining if the gradient is negative, zero or positive. This information is used to complete a sign table as ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-gradient
Volume
... and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones. The will use multiple representations to explore properties of area and volume. This investigation offers opportunities for review and consolidation of key concepts related to area and volu...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-volume
Points, Lines and Slopes (Oh My!)
Points, Lines and Slopes (Oh My!) apcalculus website In this activity, students will explore the relationship between coordinates of points and locations on the coordinate plane, the relationships of...https://education.ti.com/en/ib/activities/analysis-approaches/84-points-lines-and-slopes
Can You Find Your Bearings?
...ry .two-columns { display: grid; grid-template-columns: auto auto; } Can You Find Your Bearings? Objectives Students will explore the definition of a bearing and how to represent it in a diagram given written details. Students will be asked to use their knowledge of ...https://education.ti.com/en/ib/activities/analysis-approaches/84-can-you-find-your-bearings
Does a Correlation Exist?
...ning a graph, if a data set has a positive or negative correlation coefficient. Does a Correlation Exist? Key Steps Students explore correlation coefficients and linear regression lines. Each problem contains a different data set and each problem has students investigate s...https://education.ti.com/en/ib/activities/analysis-approaches/84-plus-correlation
Dynagraphs
...ite functions composition domain inverse range restricted domain Precalculus: Dynagraphs This lesson involves using a dynagraph to explore the relationship between the input and the output of a given function. As a result, students will: Discover how a composition utilizes th...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-precalculus-dynagraphs
Pebbling the Chessboard
... compound interest. Vocabulary Sequence Series Sum Infinity Statistics: 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 conti...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-pebbling-chessboard
To Infinity and Beyond
To Infinity and Beyond apcalculus website In this TI-Nspire activity, students will explore the limit of a function and how the behavior of the output value approaches , as the input value approaches...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Optimization
... use the second derivative test to find and verify maxima and minima in word problems. Students will solve optimization in functions and further explore, as time and teacher permit, using parametric functions as well. Students will try to make a connection with how to understand these top...https://education.ti.com/en/ib/activities/analysis-approaches/84-optimization
NASA- Newton's Cool in the Pool
... temperature-loss data graphically; use Newton’s Law of Cooling to predict temperature loss; solve the Newton’s Law of Cooling formula for the exponential constant of cooling (k); and determine the time required for tank temperature to equalize with room temperature. Vocabulary Expo...https://education.ti.com/en/ib/activities/analysis-approaches/84-cool-in-the-pool
Cool in the Pool
... temperature-loss data graphically; use Newton's Law of Cooling to predict temperature loss; solve the Newton’s Law of Cooling formula for the exponential constant of cooling (k); and determine the time required for tank temperature to equalize with room temperature. NASA - Newton's...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-nasa
Arithmetic Sequences and Series
...cs lessons for IB® Diploma Programme Analysis and Approaches | Numbers and Algebra Activity Overview In this activity, students will explore arithmetic sequences and series. They will consider the effect of the value for the common difference and first term using Lists and Spreads...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-arithmatic
Properties of Logs
... Objectives Students will be able to state and apply the properties of logarithms. Students will make comparisons between the properties of exponents and the properties of logarithms. Students will try to make a connection with how to understand these topics in IB Mathematics courses ...https://education.ti.com/en/ib/activities/analysis-approaches/84-properties-of-logs
Binomial PDF Eye Color
...r probability questions using the graph of a binomial model for a random variable involving binomial trials. Vocabulary binomial distribution expected value probability About the Lesson This lesson involves binomial trials, distributions, and probabilities. Students can create the tns f...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-binomial
Pearson's vs. Sprearman's Correlation Coefficient
...wo-columns { display: grid; grid-template-columns: auto auto; } Pearson's vs. Spearman's Correlation Coefficient Objectives Students will explore both Pearson’s Product Moment Correlation Coefficient (PPMCC) and Spearman’s Rank Correlation Coefficient (SRCC), how to decide which will f...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-pearson-spearman-correlation-coefficient
Compound Interest
... rate pay periods initial deposit continuous compounding Precalculus: Compound Interest About the Lesson 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. As a resu...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-compound-interest
Investigating the Derivatives of Some Common Functions
...ches | Calculus Activity Overview In this activity, students will investigate the derivatives of sine, cosine, natural log and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gat...https://education.ti.com/en/ib/activities/analysis-approaches/84-investigating-derivatives-common-functions
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