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Exponential Reflections

...Overview Students determine that the inverse of the exponential function is the natural log function by plotting the inverse of exponential solution points. Exponential Reflections Key Steps Students will plot the inverse of points from an exponential function to discover ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-exponential-reflections

Does a Correlation Exist?

...ey will also determine the difference between correlation and causation. Step 2 Lastly, students will explore the effect of extreme data point on the regression line. After changing a data point, they will update the linear regression line and equation to see the effect. They will als...
https://education.ti.com/en/ib/activities/applications-interpretation/84-plus-correlation

Optimization

...thematics courses and on their final assessments. Vocabulary Maximize Minimize Constraint Critical Points About the lesson In this activity, students will learn how to use the second derivative test to find maxima and minima in word problems an...
https://education.ti.com/en/ib/activities/applications-interpretation/84-optimization

Unit Circle

...sine, and tangent and the side length ratios of a right triangle. Unit Circle Key Steps Students engage in an exploration of points and angles on the unit circle. Right triangle relationships are utilized to develop the relationship between angles and coordinates. Step 1 ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-unit-circle

Optimization

...thematics courses and on their final assessments. Vocabulary Maximize Minimize Constraint Critical Points About the lesson In this activity, students will learn how to use the second derivative test to find maxima and minima in word problems an...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-optimization

Which Garage Is Better?

...on to a system of linear equations by hand Students will use the TI-84 Plus CE to graph a linear system in two variables and find the intersection point(s) Students will create and graph linear piecewise functions Students will try to make a connection with how to understand these topics in...
https://education.ti.com/en/ib/activities/analysis-approaches/84-which-garage

Bounded Areas | TI-Nspire™ family | Calculus

...he Lesson Students will use the subsequent pages of this TI-Nspire activity to refresh their skills on left-hand rectangle, right-hand rectangle, midpoint rectangle, and trapezoidal Riemann Sums given the bounded area between, the x-axis, and the vertical lines x = 1 and x = 3. ...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-bounded-areas

Which Garage Is Better?

...on to a system of linear equations by hand Students will use the TI-84 Plus CE to graph a linear system in two variables and find the intersection point(s) Students will create and graph linear piecewise functions Students will try to make a connection with how to understand these topics in...
https://education.ti.com/en/ib/activities/applications-interpretation/84-which-garage

Amortization

...es 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. Do...
https://education.ti.com/en/ib/activities/applications-interpretation/84-amortization

2D or Not 2D, That is the Question

... Students will differentiate between 2D and 3D polygons and shapes. Students will use formulas for both 2D shapes and 3D polygons, such as midpoint and distance, and understand how to alter them to fit the situations. Students will try to make a connection with how to understand these...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-2d-or-not-2d

Arithmetic Sequences and Series

...s, 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 find ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-arithmetic-sequences

Exponential Dice

...stigate the how the value of b affects the shape of the graph y = bx. Step 1 In Problem 2, students use a line tangent to the curve at a point to explore the relationship between the slope of the tangent line at that point and the value of the function at the same point. Step 2 ...
https://education.ti.com/en/ib/activities/applications-interpretation/84-exponential-dice

Pebbling the Chessboard

...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 included so that teachers can demonstrate the problem (and solution) to students. About the Lesson Downloads ...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-pebbling-chessboard

Gradient of a Function

...on is used to complete a sign table as a lead in to stage two where the gradient is quantified and subsequently graphed by consideration of a set of points. In the final stage students can freely explore a quadratic function and identify relationships between the original function and its gradien...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-gradient

Discrimination of Parabolas

...Functions Objectives Understand the role of the discriminant 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 fo...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-discrimination-parabola

Concavity

...between the first and second derivative and 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, con...
https://education.ti.com/en/ib/activities/applications-interpretation/nspire-calculus-concavity

2D or Not 2D, That is the Question | TI-84 Plus CE Python

... Students will differentiate between 2D and 3D polygons and shapes. Students will use formulas for both 2D shapes and 3D polygons, such as midpoint and distance, and understand how to alter them to fit the situations. Students will try to make a connection with how to understand these...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-2d-or-not-2d

Amortization

...es 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. Do...
https://education.ti.com/en/ib/activities/analysis-approaches/84-amortization

Unit Circle

...sine, and tangent and the side length ratios of a right triangle. Unit Circle Key Steps Students engage in an exploration of points and angles on the unit circle. Right triangle relationships are utilized to develop the relationship between angles and coordinates. Step 1 ...
https://education.ti.com/en/ib/activities/analysis-approaches/84-unit-circle

Discrimination of Parabolas

...Functions Objectives Understand the role of the discriminant 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 fo...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-discrimination-parabola

Graphs of Antiderivatives

... Deduce the graph of an anti-derivative function from the graph of a given function. Vocabulary Derivative Primitive function Turning point Inflexion point Stationary point Downloads ZIP Anti Derivative Bundle.ZIP PDF Student ...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-graphs-antiderivatives

Concavity

...between the first and second derivative and 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, con...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-calculus-concavity

Find That Sine

...matics lessons for IB® Diploma Programme Analysis and Approaches | Geometry and Trigonometry Objectives Students will use sinusoidal regression to determine equations to model various sets and use the equations to make inferences. Students will have discussions about th...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-find-that-sine

Find That Sine

Find That Sine apcalculus website Sinusoidal regression is used to determine equations to model various data sets and the equations are used to make inferences. Find That Sine ...
https://education.ti.com/en/ib/activities/analysis-approaches/84-find-that-sine

Percentiles

... 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. Percentiles Downloads ...
https://education.ti.com/en/ib/activities/analysis-approaches/nspire-percentiles