Math by Design
Transformations – Reflections
Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...
Concord Consortium
Short Pappus
It's all Greek to me. Scholars work a task that Greeks first formulated for an ancient math challenge. Provided with an angle and a point inside the angle, scholars develop conjectures about what is true about the shortest line segment...
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.
Balanced Assessment
School Zone
Find the right house within walking distance from school. The short assessment has pupils determine the houses that are a given maximum distance from a school. Individuals then determine the shortest and longest walks from the homes that...
Bowland
Pointzero: Confined
Groups plan their escape carefully. Three three-tiered puzzles help a story character escape their situation, each involving integer sequences, transformations, and geometric constructions. The teacher resource includes slides and...
Curated OER
Using the Distance Formula
In this distance formula learning exercise, 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,...
Curated OER
Properties of Parabolas
Learn to identify the properties of parabolas. Students define parabola as the locus of all points equidistant from a fixed point and a fixed line. Also, interpret the equation for a parabola in vertex form and gain a visual...
Curated OER
Triangles
In this triangles worksheet, 10th graders solve and complete 6 various types of problems. First, they draw a median and the altitude from the given angle in each triangle illustrated. Then, students determine which angle is equidistant...
Curated OER
Triangles
In this triangles learning exercise, 10th graders solve 3 extensive informal geometry problems that involve triangles. First, they sketch a triangle, selecting 3 of the sides and constructing 3 midpoints. Students then draw each of 3...
Curated OER
Equations for Curves Passing through a Given Set of Points
Learner use three random locations on the coordinate system and simplify the expression and assign result to the variable loc. They substitute guesses for the center and radius of the circle in the equation for the center of a circle and...
Curated OER
Triangles
In this triangles worksheet, 10th graders solve and complete 6 different problems. First, they draw a median from a given point and an altitude. Then, students complete each statement using the picture. They also find the line that is...
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
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,...
Curated OER
Parabolas
In this parabolas worksheet, 10th graders solve 10 different problems that include determining various types of parabolas. First, they isolate the x squared term from the rest of the equation. Then, students determine whether the...
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
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
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
Arcs and Chords
In this arcs and chords worksheet, 10th graders solve 6 different problems related to determining the arcs and chords of various circles. First, they define the 3 theorems that state the relationships between arcs, chords, and diameters....
Curated OER
T-Angling with Words
In this geometry roots worksheet, 10th graders solve and complete 22 various types of problems. First, they match the geometry word roots on the left with their meanings found on the right side. Then, students list as many other geometry...
Texas Instruments
Texas Instruments: Investigating Segments in a Right Triangle
In this activity, students review definitions of terms such as right triangle, hypotenuse, midpoint, vertices, and equidistant. They also discover an important characteristic of the midpoint of the hypotenuse.
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.