Explore the properties of parabolas in this instructional activity. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus...

Make the connection between the distance formula and the equation of a circle. The teacher presents a instructional activity on how to use the distance formula to derive the equation of the circle. Pupils transform circles on the...

In this equidistant activity, students identify the locus of points equidistant from two given points. They write the equation of locus points. This one-page activity contains ten problems.

For this phone button boggle worksheet, students identify the number of math words they can find on a phone keypad according to given directions.  This one-page worksheet contains one problem.  Answers are provided.

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.

Put together the pieces and model a parabola. Learners work through several examples to develop an understanding of a parabola graphically and algebraically. 

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:...

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,...

In this math worksheet, learners 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.

Students 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...

In this triangles worksheet, learners solve 4 multiple choice problems. Students find the centroid, orthocenter, incenter, and circumcenter or various triangles.

High schoolers 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...

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.

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.

In this algebra learning exercise, students calculate the point of intersection between a circle and a straight line. There are 5 questions with an answer key.

In this distance formula instructional activity, 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...

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,...

In this circle and their equations worksheet, students read about circles and algebraic equations, look at examples and complete exercises.

Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...

Learners review the definition of a parabola. They trace a parabola by locating points the same distance from a point as they are to a line. Students develop an equation for a parabola with its vertex at the origin. Learners solve...

NOT A LESSON Students

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."

Loci are applied to word problems in this online tutorial. Practice problems are included. The teacher resource page supplies practical problems.

A wealth of resources for teachers introducing locus theorems to students. Lessons cover simple definitions, provide examples and diagrams, and offer connections to real-life situations. Practice exercises offer students online quizzes...