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Is There a Limit to Which Side You Can Take?
Calculus students find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise functions.
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Exploring Derivatives Using Lists
Learners explore lists and determine the derivative for that list. They use regressions to discover equations.
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Instantaneous Rate of Change of a Function
Pupils draw the graph of a door opening and closing over time. They graph a given function on their calculators, create a table of values and interpret the results by telling if the door is opening or closing and evaluate the average...
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Application of Matrix Multiplication
The class explores a real-world application in which the data represents rental prices of beach condos. They problem solve by multiplying matrices to determine the cost of each property in each season. Several scenarios are presented in...
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Dilations with Matrices
Math whizzes explore dilations. They use matrices to perform dilations centered at the origins of triangles and investigate the effect of scale factor on the size relationship between the pre-image and the image of a polygon. A link to...
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One of the Many Ways
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
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Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
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Quadratic Formula
This worksheet is part of the TI-Nspire lesson on the quadratic formula. Pupils determine the solutions of a quadratic function by looking at a graph and the discriminant. They use the quadratic formula to solve quadratic functions on...
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Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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All Systems Go!
Secret codes are so much fun, and a great way to practice nearly any math skill. Let your class become code breakers as they investigate inverse matrices. They use TI-Nspire technology to solve systems of equations which help them crack...
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Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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Nutria And The Disappearing Marsh
Young analysts examine changes in the nutria population, vegetation density, and marsh area over time in the wetlands of Louisiana. They import data and use the TI-73 Explorer to graph and analyze the effects of nutria on marsh loss.
Space Awareness
Making A Sundial
Can people really measure time just by using the sun? Scholars venture outside on a nice, sunny day to build sundials and learn how people measured time 600 years ago. The class builds two different sundials while gaining practice with...
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Lesson 1 Activity 1: Tools of the Ancients
Students examine how Christopher Columbus determined his latitude.
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The Voyages of Christopher Columbus Scavenger Hunt
For this Christopher Columbus worksheet, students utilize the Internet to access a specific website to find the answers to eight short answer questions associated with the voyages of Christopher Columbus.
NOAA
Make Your Own Compass
Scholars build a compass using a needle, cork, magnet, and a water-filled cup in order to locate the magnetic north and south.
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Vernier EasyData App
Used along with data collection devices, the EasyData Application for the TI-83 Plus/TI-84 calculator allows learners to use real data to learn math and science. Statistics, curve fits, and integrals are used to analyze the...
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NUMB3RS Activity: Coded Messages
Using matrix multiplication and inverse matrices, high schoolers are trying to uncode a coded message. Students encrypt simple messages using 2 x 2 matrices.
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Linear Inequalities
Through exploration of linear programming through graphs and equations of inequalities, students relate linear programming to real life scenarios, such as business. Graphing and shading is also part of this exercise.
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NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
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Zeros of a Cubic
Mathematicians explore cubic functions by learning how to investigate the relationship between the x-coordinates of the three zeros of a cubic function. The lesson also contains an application of differentiation.
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NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
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Solving Systems Using Matrices
Explore the concept of systems of equations in two variables and use matrices to solve them. Young mathematicians enter coefficients and constants into a matrix and then solve using row reduction. Instructions on how to use the shortcut...
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Dilations with Matrices
Examine dilation with matrices with your class. Learners write a conjecture for how the scale factor determines the size of an image. They then use their conjecture to write a matrix multiplication problem for the illustrated...