To Infinity and Beyond
... Develop an understanding 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 a...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-to-infinity-beyond
Optimization
...mns { display: grid; grid-template-columns: auto auto; } Optimization Objectives Students will use the second derivative test to find and verify maxima and minima in word problems. Students will solve optimization in functions and further explore, as time and teacher permit, using pa...https://education.ti.com/en/ib/activities/analysis-approaches/84-optimization
Exploring Geometric Sequences
... Students will explore 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...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exploring-geometric-sequences
Profits equations and calculus
...stand these topics in IB Mathematics courses and on their final assessments. ---> Vocabulary Cost Revenue Optimization Profit Differentiation Integration Profit Equations and Calculus The goal of this activity is to help students understand how the use ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-profit-equations-calculus
Function, or Not a Function?
...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. Function, or Not a Function? ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-function-or-not
Cool in the Pool
...s 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. In this problem, students are presented with a power outage, in ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-nasa
Arithmetic Sequences and Series
...Activity Overview In this activity, students will explore arithmetic sequences and series. They will consider the effect of the value for the common difference and first term using Lists and Spreadsheets on the TI-Nspire™ CX II. Finally, they will graphically analyze the arithmetic series using ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-arithmatic
Properties of Logs
...ivalent expressions exponential properties About the Lesson This activity is done with the use of the TI-84 family as an aid to the problems, specifically using Lists to input and generate graphs using stat plots and linear regression commands. It serves as a nice introduction to properties o...https://education.ti.com/en/ib/activities/analysis-approaches/84-properties-of-logs
Exponential Dice
...ation, exponential regression, and theoretical analysis. Analyze properties of exponential growth and decay functions such as doubling-time and half-life. Exponential Dice Objectives Students will analyze data determined by a simulation involving tossing dice. Students will find ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-exponential-dice
Can You Solve a Trig Equation?
...these topics in IB Mathematics courses and on their final assessments. Vocabulary Finite Interval Identity Verify Radian About the lesson In this activity, students will practice how to solve equations involving trigonometric functions within a ...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-can-you-solve-a-trig-equation
Binomial PDF Eye Color
Binomial PDF Eye Color apcalculus website Mathematics lessons for IB® Diploma Programme Analysis and Approaches | Statistics and Probability Objectives Students will identif...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-binomial
Investigating the Derivatives of Some Common Functions
...n this activity, students will investigate the derivatives of sine, cosine, natural log and natural exponential functions by examining the symmetric difference quotient at many points. They develop the idea of the derivative as a function. They gather evidence toward some common derivative formul...https://education.ti.com/en/ib/activities/analysis-approaches/84-investigating-derivatives-common-functions
Taylor Polynomials
.... The graphing handheld is used as a tool to graph Taylor polynomial approximations of functions. Taylor polynomials are also used to approximate specific function values. In this activity, students will examine another kind of polynomial approximation that is a generalization of the tangent li...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-taylor-polynomials
Taylor Polynomials
...d pairs, and an input-output diagram. Taylor Polynomials Key Steps Students will use tangent line approximation to examine different polynomials. Step 1 Students will use Taylor polynomials to approximate function values. Step 2 Downloads ...https://education.ti.com/en/ib/activities/analysis-approaches/84-taylor-polynomials
Relating Rates
...lumns { display: grid; grid-template-columns:auto auto; } Objectives Students will be introduced to related rates. Students will use differentiation, including implicitly, to apply related rates to real world situations. Students will try to make a connection with how to under...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-relating-rates
Graphical Derivatives
... a function, and its derivative. Students will determine which graph represents the function and which graph represents the derivative as well as justify their answer. In part II, students will be given a graph that represents the derivative or function and will have to draw the other function. G...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphical-derivatives
Circles: Angles and Arcs
...Diploma Programme Analysis and Approaches | Geometry and Trigonometry Objectives Students will know the definitions of and identify central angles, major and minor arcs, intercepted arcs, and inscribed angles of a circle. Students will determine and apply the following r...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-circles-angles-arcs
Best Class
...ll calculate measures of central tendency and spread. Students will compare distributions from two data sets and draw conclusions. Students will identify and analyze outliers in a data set. Vocabulary Histogram Outlier Box and Whisker Diagram Skew Median ...https://education.ti.com/en/ib/activities/analysis-approaches/84-best-class
Investigating the Derivatives of Some Common Functions
... this activity, you will investigate the derivatives of some common functions by approximating the instantaneous rate of change (using the symmetric difference quotient) at many inputs. You will also use the table and graphing capabilities of your graphing handheld. Investigating the Derivative...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-investigating-derivatives-common-functions
Binomial Expansion
...ir knowledge of patterns to aid in the expansion of binomials, by way of Pascal’s triangle. Students will use the Binomial Theorem to discover specific terms of a binomial expansion. 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-binomial-expansion
Binomial Expansion
...ir knowledge of patterns to aid in the expansion of binomials, by way of Pascal’s triangle. Students will use the Binomial Theorem to discover specific terms of a binomial expansion. 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/84-binomial-expansion
Can You Find Your Bearings?
...epresent it in a diagram given written details. Students will be asked to use their knowledge of bearings to find distances and angles in several differing scenarios. Students will try to make a connection with how to understand these topics in IB Mathematics courses and on their final asse...https://education.ti.com/en/ib/activities/analysis-approaches/nspire-can-you-find-your-bearings
Can You Solve a Trig Equation?
...these topics in IB Mathematics courses and on their final assessments. Vocabulary Finite Interval Identity Verify Radian About the lesson In this activity, students will practice how to solve equations involving trigonometric functions within a ...https://education.ti.com/en/ib/activities/analysis-approaches/84-can-you-solve-a-trig-equation
Law of Sines and Cosines
...riangles. In this activity, you will explore the proofs of the Laws, investigate various cases where they are used, and apply them to solve problems. If time permits, the teacher can demonstrate how to create and manipulate sides and angles of triangles using Cabri Jr. on the handheld. This may h...https://education.ti.com/en/ib/activities/analysis-approaches/84-law-of-sin-cos
Profits equations and calculus
...stand these topics in IB Mathematics courses and on their final assessments. ---> Vocabulary Cost Revenue Optimization Profit Differentiation Integration About the Lesson The goal of this activity is to help students understand how the use of derivatives, optimization, ...https://education.ti.com/en/ib/activities/analysis-approaches/84-profit-equations-calculus