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Concavity of a Graph
Learners explore the graph of a function. In this calculus lesson, students identify when and where the graph is increasing or decreasing. They identify if it concave up or down by moving the cursor.
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Fundamental Theorem of Calculus
High schoolers, with the assistance of their TI-84 Plus / TI-83 Plus calculators, explore and assess the connections between an accumulation function, one defined by a definite integral, and the integrand. They summarize that the...
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Reference Angles
Learn how to measure the reference angles in degrees and radians. Young scholars find reference angles that are coterminal with a given angle.
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Mean Value Theorem
Students calculate the slopes of secant lines. For this calculus lesson, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Derivative Analysis
Young scholars analyze the derivative of a graph. In this calculus lesson, students identify the different behavior of a graph. They label concavity of the graphs as increasing or decreasing.
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Taylor Polynomial Examples
Learners graph Taylor polynomials. For this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Exponential Transformations
Perform transformations on exponential functions! Teach your class how to perform dilation, compression, and translation. They graph exponential functions using the TI Calculator.
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REAL LIFE REAL WORLD Activity - Surveyor
Learners investigate surveying in this secondary mathematics lesson. They will explore a real world application of geometry and trigonometry as they create a plot plan using a geometry utility and calculate the area of the land parcel.
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Comparing Linear and Exponential Data
Learners graph linear and exponential equations. In this algebra instructional activity, students differentiate between linear and exponential equations. They relate it to the real world.
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Domain and Range 2
How do you identify the domain and range of the function? As learners find out it's as easy as creating a graph. They'll identify the domain and range of a relation from its graph, write symbolic expressions describing the relationship...
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Logarithmic Transformations
Using the TI calculator to visualize and make predictions, high schoolers perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
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Newton's Method
Student approximate the roots of E using Newtons Method. In this calculus lesson, high schoolers calculate the equation of tangent a line. They use the TI to visualize the tangent line.
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Taylor Polynomials
Pupils graph Taylor polynomials in this calculus instructional activity. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Sequences
Students solve problems using the TI. In this calculus lesson plan, students evaluate functions using sequences. They graph the functions on the TI and make observations.
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Polar Graphs
Students graph polar graphs. In this calculus lesson, students convert between polar and rectangular coordinates. They graph their solution on the TI calculator and make observations.
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Spreading Doom
Students explore the pattern created by a sequence or series. For this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
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Extraneous Solutions
High schoolers find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
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Solving Logarithmic Equations
High schoolers solve logarithmic equations. They graph and plot logarithmic functions and use algebraic steps and the calculator to simplify and solve the equations.
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Curve Ball
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
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Perimeter Pattern
High schoolers investigate perimeter patterns formed by a hexagon and a triangle. They will identify the dependent and independent variable and write a function for the relationship.
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Local Linearity
In order to investigate local linearity, students graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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Sign of the Derivative
Learn how to investigate the change in a graph by dragging the cursor to observe the change in the function. They use the TI calculator to graph their parabola.
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Multiplying Monomials
High schoolers differentiate between linear and quadratic functions. In this algebra instructional activity, students write equations of graphs and graph a function from an equation. They also identify the slope and y-intercept.