Applications and Interpretation

TI-83 Plus and TI-84 Plus family

Just Move It

In this activity for the TI-84 family, the movements of the parent functions f(x)= x² and f(x)= x³ will be explored.

HL

TI-83 Plus and TI-84 Plus family

Law of Sines and Cosines

Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.

SL HL

TI-83 Plus and TI-84 Plus family

Optimization

In this activity, students will learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in functions and parametric functions.

SL HL

TI-83 Plus and TI-84 Plus family

Percentiles

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 find the value for a given percentile. In doing so, students will learn how to use the Normal CDF and Inverse Normal commands on the handheld.

SL HL

TI-83 Plus and TI-84 Plus family

Points, Lines and Slopes
(Oh My!)

In this activity, students will explore the relationship between coordinates of points and locations on the coordinate plane, the relationships of lines with their equations, slopes and y-intercepts, and lastly, the slopes of parallel and perpendicular lines.

SL HL

TI-83 Plus and TI-84 Plus family

Profit Equations and Calculus

In this activity students will discuss the graphical and algebraic relationships between a function and its first and second derivatives, namely a profit function.

SL HL

TI-83 Plus and TI-84 Plus family

Properties of Logs

Students use a combination of algebra and graphing to discover the properties of logarithms.

SL HL

TI-83 Plus and TI-84 Plus family

Pearson's vs. Spearman's Correlation Coefficient

In this activity, students will discuss and discover when and how to use both the Pearson’s product moment correlation coefficient and the Spearman’s rank correlation coefficient.
*NEW/UPDATED

SL HL

TI-83 Plus and TI-84 Plus family

Rational Functions

Students investigate the graphs of functions of the form y = 1/(x - a).
*NEW/UPDATED

SL HL

TI-83 Plus and TI-84 Plus family

Relating Rates

In this activity, students are able to apply their knowledge of finding a derivative and using implicit differentiation as they are introduced to the topic of related rates.

HL

TI-83 Plus and TI-84 Plus family

Roll the Dice

Students compute sample spaces for coin flips, find the various probabilities associated, and graph the probabilities using the calculator.

SL HL

TI-83 Plus and TI-84 Plus family

Sampling Techniques

Students will practice selecting and discuss sampling techniques when collecting and analyzing data.

SL HL

TI-83 Plus and TI-84 Plus family

Scientific Notation

This activity gives students an opportunity to see where large and small numbers are used and how scientific notation offers a convenient method of writing such numbers.
*NEW/UPDATED

SL HL

TI-83 Plus and TI-84 Plus family

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.

SL HL

TI-83 Plus and TI-84 Plus family

It’s to Be Expected

Students use a tree diagram to find theoretical probabilities and use this information with lists to find the expected value.
*NEW/UPDATED

SL HL

TI-83 Plus and TI-84 Plus family

To Infinity and Beyond

Students' develop an understanding of what it means to take a limit at infinity. They learn to estimate limits from graphs and tables of values.

SL HL

TI-83 Plus and TI-84 Plus family

Too Many Choices

Students investigate the fundamental counting principle, permutations and combinations.

SL HL

TI-83 Plus and TI-84 Plus family

Trigonometric Patterns

Students use the unit circle to examine patterns in the six trigonometric functions.
*NEW/UPDATED

SL HL

TI-83 Plus and TI-84 Plus family

Trig Ratios

Students will use Cabri™ Jr. App to discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right triangle.

SL HL

TI-83 Plus and TI-84 Plus family

The t Test

Students will practice t-test calculations using technology, just as they will be required to do so during examinations.

SL HL

TI-83 Plus and TI-84 Plus family

It’s a Two-Way Street

Students will be introduced to two-way tables by calculating marginal and conditional distributions using formulas in a spreadsheet.

SL HL

TI-83 Plus and TI-84 Plus family

Unit Circle

Students discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right triangle.

SL HL

TI-83 Plus and TI-84 Plus family

Volume

In this activity, students define right and oblique three dimensional figures and calculate the volume for prisms, pyramids, cylinders, and cones.

SL HL

TI-83 Plus and TI-84 Plus family

Voronoi Diagrams

Students will create Voronoi Diagrams and apply them to real world scenarios.

SL HL

TI-83 Plus and TI-84 Plus family

Which Garage Is Better?

Students are to find the solution to a system of linear equations using technology. They are presented with two problems: music sales and parking lot fees.

SL HL

TI-Nspire™ family

2D or Not 2D, That is the Question

In this activity, students will differentiate between 2D and 3D polygons and shapes.

SL HL

TI-Nspire™ family

3D Surface Area and Volume

In this activity, students will be finding both the Surface Area and Volume of several 3D objects.

SL HL

TI-Nspire™ family

Amortization

In this activity, students will discuss and use multiple ways to answer financial questions involving loans, compound interest, amortization tables, saving money using annuities, and depreciation of assets.

HL

TI-Nspire™ family

Analyzing Country Data

This activity involves sample listings of the ages of 200 people from each of three countries: U.S., Kenya and Japan.

SL HL

TI-Nspire™ family

Angles of Depression and Elevation

In this activity, students will discuss the graphical and algebraic relationships between Angles of Depression and Elevation.

SL HL

TI-Nspire™ family

Application of Function Composition

This lesson explores the composition of functions, their graphs and their application to real-world situations.

SL HL

TI-Nspire™ family

Arithmetic Sequences and Series

Use formulas to find the differences of the consecutive terms, plot a scatter plot of each sequence, and determine the shape of sequences with common differences. Then use a spreadsheet to display the first n terms and find the sum.

SL HL

TI-Nspire™ family

Back In Time?

Students will explore the definition of a function through use of a graph, a set of ordered pairs, and an input-output diagram.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Best Class

In this activity, students create and explore a box and whisker diagram and histogram for a data set. They then compare the two data displays by viewing them together and use the comparison to draw conclusions about the data.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Binomial PDF Eye Color

This lesson involves binomial trials, distributions and probabilities. Students can create the .tns file following the steps in Binomial_Pdf_Create_Eye_Color, or they can use the premade file Binomial_Pdf_Eye_Color.tns.

SL HL

TI-Nspire™ family

Binomial Expansion

In this activity, students will review their binomial expansion skills through hands on multiplication combined with the handheld to check their work.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Biorhythms

Students use their own birthday, and the current date, to determine the equation for their physical, emotional and intellectual cycles according to the study of biorhythms.

SL HL

TI-Nspire™ family

Bounded Areas

This lesson involves comparing the Riemann Sum area estimates with the exact bounded area of a curve and the x-axis.

SL HL

TI-Nspire™ family

Concavity

Examine the relationship between the first and second derivative and shape of a function.

SL HL

TI-Nspire™ family

Maximums, Minimums and Zeros

Determine when a function has a maximum or minimum based on the derivative of the function.

SL HL

TI-Nspire™ family

Can You Find Your Bearings?

In this activity, students will review how to find bearings through given descriptions and reading diagrams.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Can You Solve a Trig Equation?

In this activity, students will practice how to solve equations involving trigonometric functions within a finite interval.

HL

TI-Nspire™ family

Chi-Squared Tests

Students will look at a problem situation that involves categorical data and will determine which is the appropriate chi-square test to use: the chi-squared goodness of fit or the chi-squared two-way test.

SL HL

TI-Nspire™ family

Circles: Angles and Arcs

This lesson involves manipulating endpoints of an arc, manipulating an inscribed angle, and manipulating the vertex of an angle intercepting an arc.

SL HL

TI-Nspire™ family

Compound Interest

Students will explore the formula for compound interest as a function of the initial deposit, interest rate, and the number of pay periods per year.

SL HL

TI-Nspire™ family

How Dense are We?

Review of computation: order of operations, directed numbers, scientific notation, estimation, exact and approximate answers.

Distance vs Displacement -
A Particle's Journey

In this activity, students will further discuss the graphical and algebraic relationships between derivatives, integration and particle motion while using kinematics.

HL

TI-Nspire™ family

Exploring Geometric Sequences

Students graphically analyze geometric series using graphs, and consider the effect of the value for the common ratio and first term using sliders.

SL HL

TI-Nspire™ family

Exponential Dice

This lesson involves using a simulation to generate data that can be modeled by exponential growth and decay functions.

SL HL

TI-Nspire™ family

Families of Functions

This lesson involves changing the sliders for a, h and k on each 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 and k on the graphs of any function.

SL HL

TI-Nspire™ family

Function, or Not a Function?

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 output value y is associated with a single input value x, that process does not describe a function.

SL HL

TI-Nspire™ family

Give Me Five

In this activity, students will discuss and describe the center and spread of a univariate data set by way of a five number summary and visually by a box & whisker diagram. Students will then apply this knowledge to real life applications to enhance their ability to understand this math in statistical data analysis.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Gradient of a function

Interpret the derivative as the slope or gradient of a tangent line of the graph of y=f(x).

SL HL

TI-Nspire™ family

Graphs of Antiderivatives

Students are provided with a series of functions consisting of polynomials, trigonometric and exponential functions and combinations thereof.

HL

TI-Nspire™ family

Inverse Functions

In this activity, students will apply inverse functions to real world situations including temperature and money conversions.

SL HL

TI-Nspire™ family

Is it normal?

In this activity, students will use the idea of a normal distribution to pull together multiple areas of probability and statistics.
*NEW/UPDATED

SL HL

TI-Nspire™ family

It’s to Be Expected

Students use a tree diagram to find theoretical probabilities and use this information in a spreadsheet to find the expected value.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Just Move It

In this activity for the TI-Nspire™ family, the movements of the parent functions f(x)= x² and f(x)= x³ will be explored.

SL HL

TI-Nspire™ family

Law of Sines and Cosines

Students explore the proofs of the Laws of Sine and Cosine, investigate various cases where they are utilized, and apply them to solve problems.

SL HL

TI-Nspire™ family

SD Measure of Spread

This lesson is intended as an introductory activity to the concept of standard deviation.

SL HL

TI-Nspire™ family

Cool in the Pool

To prepare for spacewalks, astronauts 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.

SL HL

TI-Nspire™ family

Optimization

Students learn how to use the second derivative test to find maxima and minima in word problems and solve optimization in parametric functions.

SL HL

TI-Nspire™ family

Pebbling the Chessboard

Students begin by exploring the Pebbling the Chessboard problem.

SL HL

TI-Nspire™ family

Percentiles

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 find the value for a given percentile.

SL HL

TI-Nspire™ family

Points, Lines, and Slopes
(Oh My)

This lesson involves developing student understanding of slope of a line. The activity is based on examining the vertical change and horizontal change when moving between two points on a line.

SL HL

TI-Nspire™ family

Dynagraphs

This lesson involves using a dynagraph to explore the relationship between the input and the output of a given function.

SL HL

TI-Nspire™ family

Profit Equations and Calculus

In this activity students will discuss the graphical and algebraic relationships between a function and its first and second derivatives, namely a profit function.

SL HL

TI-Nspire™ family

Proof of Identities

This lesson involves discovering, visualizing and proving trigonometric identities.

SL HL

TI-Nspire™ family

Properties of Logs

This lesson is based on observing counter-examples to logarithmic rules and involves comparing the values of several base 2 logarithmic expressions to discover which produce the same result.

SL HL

TI-Nspire™ family

Pearson's vs. Sprearman's Correlation Coefficient

In this activity, students will discuss and discover when and how to use both the Pearson’s product moment correlation coefficient and the Spearman’s rank correlation coefficient.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Rational Functions

In this activity, students will use a TI-Nspire™ file that allows you to dynamically examine the rational functions generated by quotients of linear functions.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Relating Rates

Students are given a situation of water draining out of a cylindrical tank in order to explain the process of solving related rates questions.

HL

TI-Nspire™ family

Sampling Techniques

Students will practice selecting and discuss sampling techniques when collecting and analyzing data.

SL HL

TI-Nspire™ family

Scientific Notation

This activity gives students an opportunity to see where large and small numbers are used and how scientific notation offers a convenient method of writing such numbers. This will be done both with and without technology.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Does a Correlation Exist?

In this activity, students will determine, by examining a graph, if a data set has a positive or negative correlation coefficient.

SL HL

TI-Nspire™ family

Sum of Infinite Geometric Series

This lesson involves clicking on a slider to see that the area of a square that has been systematically divided into an infinite number of pieces approaches 1.

SL HL

TI-Nspire™ family

To Infinity and Beyond

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 a particular value.

SL HL

TI-Nspire™ family

Too Many Choices

Students investigate the fundamental counting principle, permutations and combinations.

SL HL

TI-Nspire™ family

Tossing Dice

This lesson involves simulating tossing two fair dice, recording the sum of the faces and creating a dotplot of the sums.

SL HL

TI-Nspire™ family

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 legend, when will the world end? Solve the puzzle, determine the rule for the Geometric recursion relationship, and calculate the number of days required to complete the 64-disk problem.

SL HL

TI-Nspire™ family

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.

SL HL

TI-Nspire™ family

Trig Patterns

In this activity, students will use the unit circle to examine patterns in the six trigonometric functions. Students will compare angles created with the x-axis in all four quadrants and discuss with one another what is happening at each coordinate as they move the point around the circle.
*NEW/UPDATED

SL HL

TI-Nspire™ family

Trig Ratios

Students will use the graphing calculator to discover the relationship between the trigonometric functions of sine, cosine and tangent and the side length ratios of a right triangle.

SL HL

TI-Nspire™ family

The t Test

Students will practice t-test calculations using technology, just as they will be required to do so during examinations.

SL HL

TI-Nspire™ family

Two-Way Tables and Association

This lesson involves analyzing the results of a survey using a two-way frequency table.

SL HL

TI-Nspire™ family

Vectors in Component Form

Students will learn how to express a vector in component form using the unit vectors i and j.

SL HL

TI-Nspire™ family

Volume

Students define right and oblique three-dimensional figures and calculate the volume for prisms, pyramids, cylinders and cones.

SL HL

TI-Nspire™ family

Voronoi Diagrams

Students will create Voronoi Diagrams and apply them to real world scenarios.

SL HL

TI-Nspire™ family

Which Garage Is Better?

Students are to find the solution to a system of linear equations using technology. They are presented with two problems: music sales and parking lot fees.

SL HL

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Mathematics lessons for IB® Diploma Programme

Geometry and Trigonometry

2D or Not 2D, That is the Question

Geometry and Trigonometry

3D Surface Area and Volume

Numbers and Algebra

Amortization

Geometry and Trigonometry

Angles of Depression and Elevation

Numbers and Algebra

Arithmetic Sequences and Series

Functions

Back in Time

Statistics and Probability

Best Class

Statistics and Probability

Binomial PDF Eye Color

Numbers and Algebra

Binomial Expansion

Calculus

Bounded Areas

Geometry and Trigonometry

Can You Find Your Bearings?

Geometry and Trigonometry

Can You Solve a Trig Equation?

Statistics and Probability

Chi-Squared Tests

Geometry and Trigonometry

Circles: Angles and Arcs

Numbers and Algebra

Compound Interest

Functions

NASA- Newton's Cool in the Pool

Statistics and Probability

Does a Correlation Exist?

Calculus

Distance vs Displacement -A Particle's Journey

Numbers and Algebra

Exploring Geometric Sequences

Numbers and Algebra

Exponential Dice

Functions

Exponential Reflections

Statistics and Probability

Give me Five

Functions

Inverse Functions

Calculus

Investigating the Derivatives of Some Common Functions

Statistics and Probability

Is it normal?

Functions

Just Move It

Geometry and Trigonometry

Law of Sines and Cosines

Calculus

Optimization

Statistics and Probability

Percentiles

Functions

Points, Lines and Slopes(Oh My!)

Calculus

Profit Equations and Calculus

Numbers and Algebra

Properties of Logs

Statistics and Probability

Pearson's vs. Spearman's Correlation Coefficient

Functions

Rational Functions

Calculus

Relating Rates

Statistics and Probability

Roll the Dice

Statistics and Probability

Sampling Techniques

Numbers and Algebra

Scientific Notation

Numbers and Algebra

Summing Up Geometric Series

Statistics and Probability

Distance vs Displacement -
A Particle's Journey

Points, Lines and Slopes
(Oh My!)

Distance vs Displacement -
A Particle's Journey