Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Compound Locus
Learners investigate circles and compound locus. In this geometry lesson, students identify the distance from a point to a line. They use Cabri software to create lines and circles.
Curated OER
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...
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
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....
Curated OER
Compound Locus
In this compound locus learning exercise, 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....
Curated OER
Geometry Review
For 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,...
Mathed Up!
Loci and Constructions
A General Certificate of Secondary Education math review has class members make basic constructions. Using a protractor and a ruler along with a compass, pupils develop drawings of triangles with given measurements. Scholars use their...
Curated OER
Introduction to Locus
Students define the five rules of loci. In this geometry lesson, students identify the locus of points that creates a circle. They calculate the distance from a fixed line and point.
Curated OER
Test On Analytic Geometry/ Play Green Globs
Students engage in a lesson that focuses on analytic geometry. The lesson asked them to apply skills of relating equations when plotting them on the coordinate plane. Students construct the equations using specific criteria and apply them.
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
Test on Analytic Geometry/Play Green Globs
Twelfth graders review for their analytic geometry test. In this calculus lesson, 12th graders review equations of graphs, relationship between graphs and equations, and transformation of graphs. After the review students are given a...
Curated OER
Parallel Lines
For 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,...
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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...
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...
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.
Illustrative Mathematics
Equal Area Triangles on the Same Base II
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
Curated OER
Conic Sections and Locii
Students differentiate between ellipse and hyperbola. In this algebra lesson, students graph and solve elliptical equations. They use the cabri program to create the different conics and move them around.
Curated OER
The Centroid : Balancing the History
Students discover the centroid of a triangle based on Euclid's constructions. They explore locus of points of a median. They understand properties of the segments that form the median and areas of the smaller sections formed by the median.
Curated OER
Angles, Parallel Lines, and Polygons
Learners examine how to investigate polygons using an instrument of their own construction. They should be able to prove the general formula for the number of degrees in any polygon (including a triangle). Finally they investigate an...
Curated OER
Regents Exam Questions G.G.21: Centroid, Orthocenter, Incenter, and Circumcenter
In this triangles instructional activity, students solve 4 multiple choice problems. Students find the centroid, orthocenter, incenter, and circumcenter or various triangles.
Curated OER
Poly-Mania
This hands-on lesson takes young geometers on a tour of 2D polygons and 3D polyhedrons. After exploring different web resources and discussing geometric shapes, small groups construct models of polyhedrons using bendable straws. Note:...
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...
Curated OER
Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.