How Dense are We?
...ected numbers, scientific notation, estimation, exact and approximate answers. Vocabulary Scientific notation Population Density Significant figures International Baccalaureate: How Dense are We? Population values are interesting in that it doesn't make sense...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-density
Concavity
...d shape of a function Concavity The students will move a point on a given function and observe the sign of the first and second derivative as well as a description of the graph (increasing, decreasing, concave up, concave down). From their observa...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-calculus-concavity
Distance vs Displacement - A Particle's Journey
...Three words associated with Kinematics are displacement, velocity, and acceleration. s is the displacement of the object (or particle) from a fixed origin at time t. v is the velocity of the particle at time t. a is the acceleration of the particle at time t. Downloads ...https://education.ti.com/en/ib/activities/applications-interpretation/84-distance-v-displacement
Distance vs Displacement - A Particle's Journey
...Three words associated with Kinematics are displacement, velocity, and acceleration. s is the displacement of the object (or particle) from a fixed origin at time t. v is the velocity of the particle at time t. a is the acceleration of the particle at time t. Downloads ...https://education.ti.com/en/ib/activities/analysis-approaches/84-distance-v-displacement
It’s to Be Expected
... this information in lists to find the expected value. Students will be asked to differentiate between independent and dependent events and how to navigate the handheld when finding these probabilities. Downloads ZIP To Be Expected.ZIP PDF Stu...https://education.ti.com/en/ib/activities/analysis-approaches/84-tobe-expected
To Infinity and Beyond
... on their final assessments. Vocabulary Limits Infinity Asymptote Input and output (I/O) Flight safety --> About the lesson This activity has three parts. First, students will examine, graphically and numerically, the behavior of funct...https://education.ti.com/en/ib/activities/analysis-approaches/84-to-infinity-beyond
Tower of Hanoi
...ogramme Analysis and Approaches | Numbers and Algebra Tower of Hanoi Legend has it that the world will end when the puzzle is complete. Well, the original puzzle consisted of 64 disks, and the monks in the legendary civilization only moved one disk per day. With this in mind, according to the l...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-tower-hanoi
Distance vs Displacement - A Particle's Journey
...Three words associated with Kinematics are displacement, velocity, and acceleration. s is the displacement of the object (or particle) from a fixed origin at time t. v is the velocity of the particle at time t. a is the acceleration of the particle at time t. Downloads ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-distance-v-displacement
Exploring Geometric Sequences
... For the first part of this activity, students explore geometric sequences graphically by varying the value of A, the common ratio. Pressing the right or left arrows will change the value of A and updates the graph each time. Step 1 Changing the values of both of the variables, th...https://education.ti.com/en/ib/activities/analysis-approaches/84-exploring-geometric-sequences
Amortization
...les are quite useful when discussing the payback of loans. They are used as ways of calculating the value for business assets over time. Students are going to use them to give them a little taste of what it would cost to purchase a car or a home and how to compare options. D...https://education.ti.com/en/ib/activities/analysis-approaches/84-amortization
To Infinity and Beyond
... on their final assessments. Vocabulary Limits Infinity Asymptote Input and output (I/O) Flight safety --> About the lesson This activity has three parts. First, students will examine, graphically and numerically, the behavior of funct...https://education.ti.com/en/ib/activities/applications-interpretation/84-to-infinity-beyond
Discrimination of Parabolas
...nant using technology and algebraically. (ACMMM010) Vocabulary Vertex, Turning Point, Discriminant, Conjecture About the Lesson Students use an investigative problem solving approach to determine the role of the discriminant for quadratic functions. The discriminant is displayed on the screen and...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-discrimination-parabola
Concavity
...d shape of a function Concavity The students will move a point on a given function and observe the sign of the first and second derivative as well as a description of the graph (increasing, decreasing, concave up, concave down). From their observa...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-calculus-concavity
Too Many Choices
Too Many Choices apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Statistics and Probability Too Many Choices Students investigate the fundamental counting...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Percentiles
Percentiles apcalculus website The goal of this activity is for students to use the area to the left of a value in a normal distribution to find its percentile. The process will then be reversed to f...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-percentiles
Sum of Infinite Geometric Series
...e geometric series is a finite number if and only if |r| < 1. Vocabulary geometric series infinite series ratio of a geometric series sigma notation Planning and Resources This lesson involves clicking on a slider to see that the area of a square that has been sy...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-sum-infinite-geometric
Arithmetic Sequences and Series
... 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 to find the differences o...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
Analyzing Country Data
... 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 descriptions of the histograms to summaries based o...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-analyzing-country-data
Too Many Choices
Too Many Choices apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Statistics and Probability Too Many Choices Students investigate the fundamental counting...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices
How Dense Are We?
...ected numbers, scientific notation, estimation, exact and approximate answers. Vocabulary Scientific notation Population Density Significant figures International Baccalaureate: How Dense are We? Population values are interesting in that it doesn't make sense...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-density
Gradient of a Function
...ivative as the slope or gradient of a tangent line of the graph of y=f(x). Vocabulary Gradient Slope Steepness Tangent Sign Gradient of a Function In stage one of this activity students use the interactive features of TI-Nspire to explore gradient vi...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-gradient
Families of Functions
...h page and observing the effects each has on the graphs of the functions. Students will fill in the table on the student activity sheet as they investigate the effects of parameters a, h and k on each graph. Students will use the completed table to make generalizations about the effects of a, h a...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-families-of-functions
Does a Correlation Exist?
...Students explore correlation coefficients and linear regression lines. Each problem contains a different data set and each problem has students investigate something different. They will create a scatter plot and use the calculator to find the equation of the regression. Step 1 Studen...https://education.ti.com/en/ib/activities/analysis-approaches/84-plus-correlation
To Infinity and Beyond
... on their final assessments. Vocabulary Limits Infinity Asymptote Input and output (I/O) Flight safety --> About the lesson This activity has three parts. First, students will examine, graphically and numerically, the behavior of funct...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Exploring Geometric Sequences
... 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 finite geometric series and use it to sol...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences