Corbett Maths
Loci Part 1
Where can it go? The first video on loci develops a definition and provides some quick sketches of the loci of all points with given characteristics. The presenter does an example of the loci of points a given distance from an L shape.
Corbett Maths
Loci Part 2
Closer to this point and farther from that one. Continuing with loci problems, a short video shows how to work problems that are not straightforward. The presenter works loci problems that result in a region that meets several criteria.
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Locus at a Fixed Distance
In this locus at fixed distance worksheet, 10th graders solve 10 different problems related to determining a fixed distance. First, they write the equation of the locus of points a certain number of units from the x-axis. Then, students...
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Equidistant from Two Points
In this equidistant worksheet, students identify the locus of points equidistant from two given points. They write the equation of locus points. This one-page worksheet contains ten problems.
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Unit 14 - Loci and Transformations
In this transformations worksheet, students solve 25 short answer problems. Students dilate, reflect, and translate points and figures in the coordinate plane. Students determine scale factors and lines of symmetry of figures.
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Compound Locus
In this compound locus worksheet, 10th graders solve and complete 10 different problems that include compound locus. First, they determine the number of points in a plane given the units from a given line and a point on the line. Then,...
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Fixed Distance
In this fixed distance worksheet, 10th graders solve 10 different problems that include determining the fixed distance from a particular point. First, they determine the locus of points inches from a specific point. Then, students write...
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Parallel Lines
In this parallel lines instructional activity, 10th graders solve 10 different problems that include determining various parallel lines. First, they describe the locus of an object that has to be kept equidistant from 2 parallel objects....
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Intersecting Lines
In this intersecting lines worksheet, 10th graders identify and complete 10 different problems that include equidistant intersecting lines. First, they write the equation of the locus of points equidistant from the x-axis and the y-axis...
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Using the Distance Formula
In this distance formula worksheet, students solve and complete 30 various types of problems. First, they find the exact distance between each pair of points and make a sketch of the situation. Then, students find the center, horizontal...
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Analytic Geometry-Good Problems from Alex Pintilie
In this analytic geometry worksheet, students solve 12 word problems. Problems cover identifying the locus of an equation as well as the locus.
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Compound Locus
In this compound locus worksheet, 10th graders solve and complete 10 different problems related to compound locus. First, they determine the number of points in a plane that is units from a given line and from a given point on a line....
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Angle Constructions
In this angle constructions worksheet, 6th graders solve and complete 4 various types of problems. First, they construct a perpendicular bisector of two points. Then, students construct an angle bisector for the angle shown. In addition,...
Balanced Assessment
Fit-Ness
Serve four towns with one bus route. Pupils develop a bus route that meets certain criteria to serve four towns. They determine which of the routes would best serve all of them. Individuals then hypothesize where a fifth town should be...
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Constructions and Loci
In this geometry worksheet, students construct polygons and calculate the different angles formed by each shape. They construct circles, trapezoids, and rectangles and answer 20 questions.
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Power Question 2
In this math worksheet, students determine the locus of points, M, in plane ABC, such that KMAB=KMAC. They also draw the triangle ABC. Then determine the proof of the interior angles determining the identity of the equilateral triangle.
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Graphs
In this algebra instructional activity, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
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Inequality as Distance
In this algebra worksheet, 10th graders calculate the distance between two points using inclusive and exclusive values. They graph their results on a number line. An answer is provided.
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Geometry Review
In this geometry review activity, 10th graders solve and complete 33 different problems that include identifying various geometric figures and parts of a circle. First, they find the radius of each circle given its diameter. Then,...
Virginia Department of Education
Circles in the Coordinate Plane
Make the connection between the distance formula and the equation of a circle. The teacher presents a lesson on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the coordinate plane and...
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Exponential Reflections
High Schoolers explore the concept of exponential reflections. They use their Ti-Nspire to reflect the natural logarithm function over the line y=x. Learners repeat the process using different exponential functions using a slider.
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Circles and Their Equations
In this circle and their equations worksheet, students read about circles and algebraic equations, look at examples and complete exercises.