Compound Interest
...umbers and Algebra Activity Overview This activity involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year. Objectives Students will interpret the variables in the formula for compound in...https://education.ti.com/en/ib/activities/applications-interpretation/84-compound-interest
Exponential Dice
...Applications and Interpretation | Numbers and Algebra Objectives Students will analyze data determined by a simulation involving tossing dice. Students will find and analyze exponential growth and decay functions. Students will model with mathematics. Students will tr...https://education.ti.com/en/ib/activities/applications-interpretation/84-exponential-dice
Too Many Choices
...amental 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 solve several problems. Step 1 Then, students will use the fundament...https://education.ti.com/en/ib/activities/applications-interpretation/84-too-many-choices
Gradient of a Function
... 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 a lead in to stage two where the gradient is quantified and subsequently graphed by c...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-gradient
Discrimination of Parabolas
...arabola. The investigation is scaffolded by initially limiting manipulations of the parabola to transformations where the coefficient of x-square is positive one. In the next stage this is changed to negative one then finally, it becomes a variable so students can dilate and transform the parabol...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-discrimination-parabola
How Dense are We?
...lation values are 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...https://education.ti.com/en/ib/activities/applications-interpretation/nspire-density
Triangle Trigonometry and Circles
...essons for IB® Diploma Programme Analysis and Approaches | Geometry and Trigonometry Triangle Trigonometry and Circles This lesson involves the ratios of side lengths of triangles with invariant angle measures and the relationships to trigonometric functions of an angle. Objectiv...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-triangle-trig
To Infinity and Beyond
...standing 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 oscillation. Estimate limits from graphs and tables of values. Connect the ideas of end behavior, horizontal asymptotes, and limits...https://education.ti.com/en/ib/activities/analysis-approaches/84-to-infinity-beyond
Tower of Hanoi
Tower of Hanoi apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Numbers and Algebra Tower of Hanoi Legend has it that the world will end when the puzzle is...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-tower-hanoi
Amortization
...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. Downloads ZIP Amortization.ZIP PDF...https://education.ti.com/en/ib/activities/analysis-approaches/84-amortization
Exponential Dice
...ploma Programme Analysis and Approaches | Functions Objectives Students will analyze data determined by a simulation involving tossing dice. Students will find and analyze exponential growth and decay functions. Students will model with mathematics. Students will tr...https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-dice
Graphing Relationships
...derivative provides information about the concavity of the graph. Many students can understand that when a function is increasing, the derivative is positive, but they cannot correctly interpret what that means on a graph. Instead of understanding that this means the graph is always above the x-a...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphing-relationships
To Infinity and Beyond
...standing 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 oscillation. Estimate limits from graphs and tables of values. Connect the ideas of end behavior, horizontal asymptotes, and limits...https://education.ti.com/en/ib/activities/applications-interpretation/84-to-infinity-beyond
Unit Circle
...pproaches | Geometry and Trigonometry Activity Overview Students discover the relationship between the trigonometric functions of sine, cosine, and tangent and the side length ratios of a right triangle. Unit Circle Key Steps Students engage in an exploration ...https://education.ti.com/en/ib/activities/analysis-approaches/84-unit-circle
Compound Interest
...umbers and Algebra Activity Overview This activity involves exploring the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year. Objectives Students will interpret the variables in the formula for compound in...https://education.ti.com/en/ib/activities/analysis-approaches/84-compound-interest
Discrimination of Parabolas
...arabola. The investigation is scaffolded by initially limiting manipulations of the parabola to transformations where the coefficient of x-square is positive one. In the next stage this is changed to negative one then finally, it becomes a variable so students can dilate and transform the parabol...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-discrimination-parabola
Too Many Choices
...amental 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 solve several problems. Step 1 Then, students will use the fundament...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Give me Five
...Whisker Diagram About the lesson A univariate set of data is a list of numbers that describes the different value of a variable characteristic across a range of different units. This activity is a great time to lead your students through the process of entering the data on their handheld and...https://education.ti.com/en/ib/activities/analysis-approaches/84-give-me-five
3D Surface Area and Volume
... Approaches | Geometry and Trigonometry Objectives Students will analyze and discuss 3D objects and the 2D shapes that make up those objects. Students will unfold 3D objects to aid in finding both the Surface Area and Volume of the objects. Students will apply thi...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-3d-surface-area-volume
Sampling Techniques | TI-83 Plus and TI-84 Plus family | Stats & Probability
...is a challenge to analyze the entire population, the whole group from which you may 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...https://education.ti.com/en/ib/activities/analysis-approaches/84-sampling-techniques
Five-Figure Summary (Give Me Five)
...he lesson This activity explores the calculations of the five figure summary: {min, Q1, median, Q3 and max}. How is an outlier determined? What is positive / negative skew? By physically dragging the maximum point students can determine when the whisker ‘breaks’ and an outlier is created. The...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-give-me-five
3D Surface Area and Volume
... Approaches | Geometry and Trigonometry Objectives Students will analyze and discuss 3D objects and the 2D shapes that make up those objects. Students will unfold 3D objects to aid in finding both the Surface Area and Volume of the objects. Students will apply thi...https://education.ti.com/en/ib/activities/analysis-approaches/84-3d-surface-area-volume
Arithmetic Sequences and Series
... 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 to ...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
Graphing Relationships
...w In this 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 c...https://education.ti.com/en/ib/activities/analysis-approaches/84-graphing-relationships
Too Many Choices
... the general formula 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 fo...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices