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Linear Systems: Least Squares Approximations

For Students 11th - Higher Ed
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
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Reflections

For Teachers 9th - 10th
Students investigate the concept of reflectons. They investigate how an image has a reflection that is symmetrical. They also choose household objects in order to have real life application for finding lines of symmetry.
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Worksheet 34

For Students 11th - Higher Ed
In this math instructional activity, students find the plane perpendicular to the path (t2, t, cos 2πt) at time t = 1/4. Then they determine the location in which the object is moving the fastest.
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Spatial Relations - Week 9

For Teachers 10th - 12th
In this spatial relations worksheet, students identify the number of triangles in a given figure, identify the number of cubes that a plane intersects, and determine the number of line segments in a given cube. This three-page worksheet...
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Worksheet 9

For Students 11th - Higher Ed
In this math learning exercise, students examine how the moment of a force about a point is defined. They look at the 2 problems to define the information contained in them.
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Worksheet 26

For Students 11th - Higher Ed
In this math worksheet, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
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Spatial Relations - Week 9

For Teachers 10th - 12th
In this spatial relations worksheet, students solve three-dimensional problems. They find the total number of triangles in a given figure, the number of line segments that endpoints and use integer points to solve two problems. This...
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Supersonic Dream

For Teachers 9th - 12th
Students explore how fuel use affects the mass of different planes during flight and graph their results. They determine the per person fuel cost of a transatlantic flight for seven airplanes
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Worksheet 30

For Students 11th - Higher Ed
In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.
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Complex Analysis: Limits of Complex Functions

For Students Higher Ed
For this complex function worksheet, students identify the limits of complex functions. This two-page worksheet contains examples and explanations, followed by two problems.
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Graphing Inequalities

For Students 9th - 10th
In this graphing inequalities learning exercise, students create graphs of algebraic expressions containing inequalities. This two-page learning exercise contains explanations and examples prior to the exercise. The first page is a...
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Graphing Integers

For Teachers 5th
Fifth graders complete an integer graphing activity. For this integer graphing lesson, 5th graders use coordinate grids to help them complete linear functions and integer graphing.
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Precalculus Worksheet

For Students Pre-K - Higher Ed
In this Precalculus learning exercise, students solve four problems in detail by working with the functions and figuring out the angles. The learning exercise could be shrunk to fit on one page.
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Worksheet 23

For Students 11th - Higher Ed
In this math worksheet, students define the sets of vectors. They also observe the concept of area for the parallelogram and how vectors are used.
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Fifteen Regents Exam Midpoint Problems

For Students 8th - 10th
In this midpoint worksheet, students answer ten multiple choice and five free-response problems using the midpoint formula.  The solutions are provided.
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Graphing Linear Equations with Calculator

For Teachers 9th - 10th
Learners graph lines using the calculator. In this algebra lesson, students graph lines of equations in the form y=mx+b. They input equations into the TI Calculator and graph using the slope and intercept. They analyze the graph for...
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Worksheet 34 - Fall 1995

For Students 11th - Higher Ed
In this math activity, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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Transformations

For Teachers 5th - 6th
Students draw on graph paper. In this geometry lesson, students review types of triangles and quadrilaterals. Students investigate geometric transformations, including translation, rotation and reflection. Students practice each...
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Pearl Harbor-Japanese View-U.S. View

For Students 4th - 6th
In this worksheet on Pearl Harbor, students read short passages about both the Japanese viewpoint and the viewpoint of the U.S. Worksheet included activity suggestions for 4-6 grades.
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Slope Calculation

For Teachers 8th - 10th
Students compute the slope of a line that passes through two points and explain how the slope formula is derived. They determine properties associated with positive, negative, undefined, and no slope.
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Geometric Construction

For Teachers 7th
Seventh graders investigate some concepts associated with geometric shapes. They study the bisector segment and the perpendicular line to a given line. Students conduct analysis with the goal of deepening observation and deduction...
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Worksheet 11

For Students 11th - Higher Ed
In this math instructional activity, students find the vector parametric equation and symmetric equations for the line using two coordinate points.
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Worksheet 33 Spring 1996

For Students 11th - Higher Ed
In this math activity, students find the solutions to the differential equations. Then they graph the solution and show if they are perpendicular.
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Math 155 - Fall 2005 Differentiation

For Students Higher Ed
In this differentiation worksheet, students find an equation of a line tangent to a curve. They use linear approximation to estimate answers. This two-page worksheet contains approximately 12 multi-step problems.

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