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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.
Curated OER
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...
EngageNY
The Definition of a Parabola
Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically.
Curated OER
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.
Curated OER
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.
Curated OER
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.
Curated OER
Parallel Lines
In this parallel lines worksheet, 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. Then,...
Curated OER
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...
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...
Curated OER
Angle Constructions
For 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...
Curated OER
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.
Curated OER
Geometry Review
In this geometry review worksheet, 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,...
Curated OER
Graphs
In this algebra worksheet, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.
Curated OER
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.
Curated OER
Circles and Their Equations
In this circle and their equations worksheet, students read about circles and algebraic equations, look at examples and complete exercises.
Oswego City School District
Regents Exam Prep Center: Locus at a Fixed Distance From a Point
This site defines a locus and introduces five theorems about loci. Click on the "Topic Index" link to find related practice activities and resources.
Oswego City School District
Regents Exam Prep Center: What Is a Locus?
This site defines what a locus is and offers links to five locus theorems. Walks you through the six "Steps to solving a locus problem."
Oswego City School District
Regents Exam Prep Center: Locus Equidistant From Two Points
Use this site to investigate the third theorem of loci, equidistant from two points. Click on the "Topic Index" link to find related practice activities and resources.
Oswego City School District
Regents Exam Prep Center: Compound Locus
Loci are applied to word problems in this online tutorial. Practice problems are included. The teacher resource page supplies practical problems.
Wolfram Research
Wolfram Math World: Conchoid of Nicomedes
This site gives an approximate date at which the cochoid was studied by Nicomedes, explains what the locus of points are which make up this curve, and give cartesian and polar coordinates for such a curve, as well as a formula for the...
Wolfram Research
Wolfram Math World: Locus
This site defines the term "locus" as it is used in mathematics and gives an example of the locus as a set of points equal distance from a point in two and three dimensional space.
Math Open Reference
Math Open Reference: Points and Lines
A complete reference guide to points, lines, and planes. It provides definitions and interactive activities that enhance further explanation.
Other
Platonic Realms: Conics
This resource provides in depth information on the conic sections. Click on the underlined words for definitions and diagrams.
Other
Sierra College: Conics
Provides the locus of points, dominant axis and equation, discriminant, center, vertex, focus, directrix, and asymptotes for the parabola, the ellipse, and the hyperbola.