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Average Rate of Change, Difference Quotients, and Approximate Instantaneous Rate of Change
Pupils, with the assistance of their TI-84 Plus / TI-83 Plus calculators, distinguish meanings from right, left and symmetric difference quotients that include rate of change and graphical interpretations. They utilize symmetric...
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Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
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Introduction to Tangent Lines using the TI-Nspire
Young scholars make mathematical argument using the concept of Limit. In this algebra lesson, student calculate the instantaneous rate of change from the linear graph. They use a TI-calculator to create a visual of the graphs.
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Graphing Linear Equations
Ninth graders review the information that they have already learned
with regard to linear equations and graphical representations. They then assist in combining equations with a graphical element and complete various graphs with this...
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Lines of Fit
Students solve equations dealing with best fit lines. In this algebra lesson, students solve problems by analyzing data from a scatterplot, and define it as positive, negative or no correlation. They classify slopes the same way as...
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3.14159265
Young scholars discover the value of Pi. In this value of Pi lesson, students measure the circumference and diameter of various circles on their graphing calculator. Young scholars find the ratio of the circumference to the...
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It'll Go With the Flow...
Students construct a water table elevation contour map and consider the direction and rate of groundwater flow to predict the actual runoff pattern. They discuss their findings and evaluate a hypothetical landfill site based on data...
Mathematics Vision Project
Module 7: Modeling with Functions
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and...
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Lesson #67 Relative Extrema
Students test for relative extrema. In this Calculus lesson, 12th graders investigate the relative extrema of a function and sketch the curve from the given information without the use of a calculator.
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Special Segments in a Triangle
In this geometry worksheet, 10th graders review the vocabulary associated with the special segments of a triangle and the associated points of concurrency and solve problems in which they find the indicated missing angle or...
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Reflections
Tenth graders perform reflections on different geometric shapes. In this geometry worksheet,students define the concept of geometric reflections and find the coordinates of the reflection on a coordinate grid.
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Earth's Rotation Changes and the Length of the Day
In this Earth's rotation and day length learning exercise, students are given a table with the period of geological time, the age of the Earth and the total days per year. Students calculate the number of hours per day in each geological...
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The Big Bang-Hubble's Law
In this Hubble's law instructional activity, students use data for galaxies which include their distance and speed. Students make a graph to show the distance to each galaxy and the speed of each galaxy. They use their graph to answer 4...
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Mr. Payne Word Search Puzzle
In this language arts worksheet, learners study 10 words in a word bank, then locate them in a word search puzzle. The words appear to be related to algebra; the meaning of the title is not known. There is one misspelled word in the word...
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The Extraordinary Life of the Alaskan Tundra
Students investigate the characteristics of the tundra on the North Slope of Alaska. They conduct Internet research, develop a chart of the types of vegetation, plant growth, and fauna found on the tundra, identify examples in their own...
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To Be Linear or Not to be Linear, That is the Question
Students use their knowledge and understanding of equations of lines to explore independent and dependent variables. They determine how to isolate a variable and how to predict data points not represented in data.
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Graphing System of Equations
Students solve system of equation. In this algebra instructional activity, students graph, substitute and eliminate to solve system of equation. They identify the point of intersection and how many solution each system will have.
Michigan Sea Grant
Exploring Watersheds
Collaboratively, students partake in a hands-on activity in which they build models of a watershed. Each group member draws an elevation map—a bird's eye view—of their model and predicts how water will flow from the high to low points....
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Worksheet 24 - Fall 1995
In this math worksheet, learners find an equation of a curve such that the slope at the point (x, y) on the curve is 3x2 +2 and (−1, 1) is a point on the curve.
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Higher Order Taylor Polynomials
In this polynomial worksheet, students approximate values of linearly using the tangent line. They use first and second-degree polynomials to find the equation of a line tangent to a graph. Students explore Taylor's Theorem. This...
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Numerical Analysis: Introduction to Approximation Theory
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
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Quiz: Scatter Plots and Line of Best Fit
In this scatter plots and line of best fit worksheet, students create scatter plots from given sets of data. They answer questions concerning the scatter plot. Students write the equation of a line, identify the type of correlation...
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Getting Help, but for More Work?
Fifth graders discuss prior knowledge of slope and force. They relate steepness of slope to the force needed to get an object up the slope. Students read from their text the information about inclined planes. They answer the questions...
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Confusing Colors!
Fourth graders collect data, graph their data, and then make predictions based upon their findings. They's interest is maintained by the interesting way the data is collected. The data collection experiment is from the psychology work of...