Proof of Identities
...identities. Objectives Students will be able to interpret reciprocal, negative angle, cofunction, and Pythagorean identities in terms of the graphs of the trigonometric functions involved. Students will be able to prove trigonometric identities algebraically. Students wil...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-proof-of-identities
Law of Sines and Cosines
Law of Sines and Cosines apcalculus website Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems. Law of Si...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-law-of-sin-cos
Exploring Geometric Sequences
...or. Step 2 As an extension, student will examine the derivation of the sum of a finite geometric series and use it to solve several problems. Step 3 Downloads ZIP Exploring Geometric Seq ZIP PDF Student Activity.PDF Teacher Notes.PDF IB ...https://education.ti.com/en/ib/activities/analysis-approaches/84-exploring-geometric-sequences
Volume
Volume apcalculus website In this activity, students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones. Volume ...https://education.ti.com/en/ib/activities/analysis-approaches/84-volume
Exponential Dice
...n exponential growth function doubling time About the Lesson This activity is done with the use of the TI-84 family as an aid to the problems, specifically using Lists and the Probability Simulation App. Exponential Dice Downloads ZIP Exponential-dice.ZIP ...https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-dice
Scientific Notation
...n Objectives Students will use scientific notation to understand numbers, ways of representing numbers, relationships among numbers and number systems. Students will develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculated notation. S...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-scientific-notation
To Infinity and Beyond
...ontinued chaotic output behavior as the input values continue to approach a particular value. Finally, students will examine a variety of limit problems. Downloads ZIP To Infinity and Beyond.ZIP PDF Student Activity.PDF Teacher Notes.PDF IB...https://education.ti.com/en/ib/activities/applications-interpretation/84-to-infinity-beyond
Relating Rates
...ply their knowledge of finding a derivative and using implicit differentiation as they are introduced to the topic of related rates. In several problems, students will have two variables, which are both changing with time. With each problem, one variable’s rate of change at a given instant will b...https://education.ti.com/en/ib/activities/analysis-approaches/84-relating-rates
Vectors in Component Form
...itude 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 component form and is expressed as r = ai + bj. A tns file is provided to students for this activity t...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-vectors-component-form
Summing Up Geometric Series
... and Approaches | Numbers and Algebra Summing Up Geometric Series In this activity, students will explore infinite geometric series and the partial sums of geometric series. The students will determine the limits of these sequences and series using tables and graphs. Key Steps ...https://education.ti.com/en/ib/activities/analysis-approaches/84-summing-up-geometric-series
Too Many Choices
...ombinations. Key Steps Students will explore the fundamental counting principle and discover its formula. They will use diagrams to help them determine the number of different combinations of cake and frosting. After a discussion of the formula, students will use it to sol...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Scientific Notation
...n Objectives Students will use scientific notation to understand numbers, ways of representing numbers, relationships among numbers and number systems. Students will develop an understanding of large numbers and recognize and appropriately use exponential, scientific, and calculated notation. S...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-scientific-notation
3D Surface Area and Volume
...mference Sector Cylinder Surface Area Volume About the Lesson Students will work to solve real-world Surface Area and Volume problems. They will also have a chance to practice the unfolding of 3D objects. 3D Surface Area and Volume Downloads Z...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-3d-surface-area-volume
Five-Figure Summary (Give Me Five)
...ity .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 probabilities. Stude...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-give-me-five
3D Surface Area and Volume
...mference Sector Cylinder Surface Area Volume About the Lesson Students will work to solve real-world Surface Area and Volume problems. They will also have a chance to practice the unfolding of 3D objects. 3D Surface Area and Volume Downloads ...https://education.ti.com/en/ib/activities/analysis-approaches/84-3d-surface-area-volume
Arithmetic Sequences and Series
...lysis and Approaches | Statistics and Probability Activity Overview Students use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine that sequences with common differences (called arithmetic sequences) have scatter plots who...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
Analyzing Country Data
...a better understanding of the populations of each country. Examine sample ages from the three countries displayed in a spreadsheet and in histograms with percent on the vertical scale that highlight the distinctive features of the distribution of the ages from each sample. Connect descrip...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-analyzing-country-data
Volume
...umns:auto auto; } Objectives Students will define right and oblique three dimensional figures. Students will calculate the volume for prisms, pyramids, cylinders, and cones. Students will try to make a connection with how to understand these topics in IB Mathematics courses and on...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-volume
Tossing Dice
... Activity Overview This lesson involves simulating tossing two fair dice, recording the sum of the faces, and creating a dotplot of the sums. As a result, students will: Observe how the simulated sampling distribution for the sums of the faces changes as the number of samples is incr...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-tossing-dice
Best Class
...on Students are given the results from a recent test. They will need to display the data graphically and will refresh their understanding of histograms and box and whisker diagrams. Downloads ZIP Best Class.ZIP PDF Student Activity.PDF Teach...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-best-class
Pebbling the Chessboard
...ith trial and error attempts, numbers are used to record the moves, leading to the discovery that a geometric sequence is produced. The sum of the terms in the sequence holds the answer to the problem. A PowerPoint file is also included so that teachers can demonstrate the problem (and solution)...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-pebbling-chessboard
To Infinity and Beyond
...ontinued chaotic output behavior as the input values continue to approach a particular value. Finally, students will examine a variety of limit problems. To infinity and beyond Downloads ZIP To Infinity and Beyond.ZIP PDF To_Infinity_and_Be...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Exploring Geometric Sequences
... the variables, first term and common ratio, of a geometric sequence gives students a deeper understanding of their behavior. A spreadsheet of the terms is available on page 3.2 to investigate the behavior numerically. Step 2 Students will examine the derivation of the sum of a fini...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences
Arithmetic Sequences and Series
...g graphs. Arithmetic Sequences 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 ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-arithmatic
Properties of Logs
...amme Analysis and Approaches | Numbers and Algebra 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 connecti...https://education.ti.com/en/ib/activities/analysis-approaches/84-properties-of-logs