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Coordinate Geometry
Grab your class and get them graphing polygons on a coordinate plane! They investigate the four quadrants, discover the x and y axis, and correctly plot ordered pairs. To show their comprehension, each child creates a coordinate picture...
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Parabolas
In this parabolas activity, 10th graders solve and complete 15 different problems related to parabolas. First, they define parabola and its information related to graphing one. Then, students write each equation in standard form. They...
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Translation and Rotation of Axes
Students rotate axes to eliminate the xy-term and illustrate the dissectible cone as needed. They also discuss the discriminant for the second degree equation in two variables, as well as the translation of axes and rotation of axes....
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Partial Derivatives for a Function of Two Variables
In this partial derivatives worksheet, students complete one word problem by finding the (x,y) coordinates of a point when it moves parallel to one axis. When given a function, they find six partial derivatives. Students solve four...
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Coordinates
Students use cartesian coordinates (x,y,z) in 3-dimensional space. [Optional: appreciate there exist two ways of defining the z axis, and which of them is used.] They become familiar with the tools and terms used by surveyors.
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Human Coordinate Plane
Eighth graders form a human coordinate grid to develop knowledge of the placement and meaning of coordinates on a grid. They experience the placements of the x and y coordinates in an ordered pair.
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Function Project
What if a coordinate plane becomes a slope-intercept plane? What does the graph of a linear function look like? Learners explore these questions by graphing the y-intercept of a linear equation as a function of its slope. The result is a...
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Juggling Slopes
Students identify the slope of a line. In this algebra lesson, students label slopes as positive, negative, zero or undefined. They use the slope formula to find the slope algebraically and graphically.
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Worksheet 24 - Derivative
In this derivative worksheet, students identify second derivatives and find the directional derivative of a function. They also list the extremes and saddle points of a function. This one-page worksheet contains seven multi-step problems.
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Linear Systems: Projections
In this projection activity, students determine the projections of a given matrix. This four-page activity contains explanations and examples and approximately ten problems to complete.
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Quadratic Functions
In this algebra worksheet, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
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Linear Systems: Fundamental Theorem of Linear Algebra
In this linear algebra worksheet, students complete matrix multiplication. They find the row space and nullspace of given matrices. This two-page worksheet contains examples, explanations, and approximately four problems to complete.
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Quadratics Quiz
In this algebra worksheet, solve 3 multi-step problems involving various quadratic functions.
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Worksheet 19
For this math worksheet, students use the following descriptions of a spring system to write a differential equation of the form my + γy + ky = F(x).
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Relations and Functions
For this Algebra II worksheet, 11th graders identify the domain and range of a relation and determine if the given relation is a function. The three page worksheet contains explanation and eighteen practice problems. Answers are not...
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A Place In Space
Students work together to create a 3D coordinate system. They plot points that are given to them and asked to find these points in space. They discover how engineers use coordinates in their careers.
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Inverse Relations and Functions
In this algebra worksheets, learners find the inverse of a given function by switching the y with the x. They graph the different functions and identify the difference. This worksheet includes thoughtful questions and worked examples.