Concavity
... 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 observations, students will make conjectures about the shape ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-calculus-concavity
Find That Sine
...udents will use sinusoidal regression to determine equations to model various sets and use the equations to make inferences. Students will have discussions about their results and apply them to real world situations. Students will try to make a connection with how to understand these topi...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-find-that-sine
Too Many Choices
... counting principle, permutations, and combinations. 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 ...https://education.ti.com/en/ib/activities/analysis-approaches/84-too-many-choices
Find That Sine
...ents will use sinusoidal regression to determine equations to model various sets and use the equations to make inferences. Students will have discussions about their results and apply them to real world situations. Students will try to make a connection with how to understand these to...https://education.ti.com/en/ib/activities/analysis-approaches/84-find-that-sine
Trig Ratios
Trig Ratios apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Geometry and Trigonometry Trig Ratios Students will use the Cabri™ Jr. App to discover the r...https://education.ti.com/en/ib/activities/analysis-approaches/84-trig-ratios
3D Surface Area and Volume
...s lessons for IB® Diploma Programme Analysis and 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 ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-3d-surface-area-volume
Angles of Depression and Elevation
Angles of Depression and Elevation website In this activity, students will discuss the graphical and algebraic relationships between Angles of Depression and Elevation. Angles of Depression and El...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-angles-of-depression-and-elevation
3D Surface Area and Volume
...s lessons for IB® Diploma Programme Analysis and 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 ...https://education.ti.com/en/ib/activities/analysis-approaches/84-3d-surface-area-volume
Arithmetic Sequences and Series
...pproaches | 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 whose points f...https://education.ti.com/en/ib/activities/analysis-approaches/84-arithmetic-sequences
Analyzing Country Data
...pulations 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 descriptions of the histograms to summa...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-analyzing-country-data
Too Many Choices
...l 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 combinations. Each choice is represented as a poi...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-too-many-choices
Just Move It
... Approaches | Functions .two-columns { display: grid; grid-template-columns:auto auto; } Objectives Students will further discuss the idea of transformations and compare a transformed function to its parent function (x² and x³), both graphically and algebraically. ...https://education.ti.com/en/ib/activities/analysis-approaches/84-just-move-it
How Dense Are We?
...Analysis and Approaches | Numbers and Algebra Objectives Review of computation: order of operations, directed numbers, scientific notation, estimation, exact and approximate answers. Vocabulary Scientific notation Population Density Significant f...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-density
Families of Functions
...ill use the completed table to make generalizations about the effects of a, h and k on the graphs of any function. As a result, students will: Describe the transformations to a parent function using their generalizations. Families of Functions Objectives Students will investi...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-families-of-functions
Points, Lines and Slopes (Oh My!)
... grid-template-columns:auto auto; } Objectives Students will graph linear functions and determine properties such as slope and y-intercept, describe how both change as the graph is rotated and translated, and understand that the coordinates of a line are the solution set to the equation o...https://education.ti.com/en/ib/activities/analysis-approaches/84-points-lines-and-slopes
Exponential Reflections
...solution points. Exponential Reflections Key Steps Students will plot the inverse of points from an exponential function to discover it is the natural log function. Step 1 Students will also explore the inverse of the function y = 10x. Step 2 Dow...https://education.ti.com/en/ib/activities/analysis-approaches/84-exponential-reflections
Does a Correlation Exist?
...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 Students use the regression line to find and predict...https://education.ti.com/en/ib/activities/analysis-approaches/84-plus-correlation
Dynagraphs
...pproaches | Functions Objectives Students will utilize the input and output of a function to determine its rule. Students will discover conditions that would restrict a function's domain. Students will understand that a composition utilizes the output of the inside functio...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-precalculus-dynagraphs
Pebbling the Chessboard
...ether or not the problem has a solution. Rather than continuing with 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 inc...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-pebbling-chessboard
To Infinity and Beyond
...g 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 at inf...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Exploring Geometric Sequences
...graphically and numerically by varying the values of the common ratio. Clicking on the up or down arrow of the minimized slider while viewing a split screen of a graph and a spreadsheet makes this a dynamic activity. Step 1 Changing the values of both of the variables, first term an...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences
Profits equations and calculus
Profits equations and calculus apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Calculus Objectives Students will further discuss the...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-profit-equations-calculus
Function, or Not a Function?
...e 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. Function, or Not a Function? Objectives Students will understand the definition of function and use it to identif...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-function-or-not
Arithmetic Sequences and Series
... Question.DOC TNS TI-Nspire Activity.TNS 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 an...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-arithmatic
Properties of Logs
Properties of Logs apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Numbers and Algebra Objectives Students will be able to state and ap...https://education.ti.com/en/ib/activities/analysis-approaches/84-properties-of-logs