Students play and record the “Mary Had a Little Lamb” song using musical instruments and analyze the intensity of the sound using free audio editing and recording software. Then they use hollow Styrofoam half-spheres as acoustic mirrors (devices that reflect and focus sound), determine the radius of curvature of the mirror and calculate its focal length. Students place a microphone at the acoustic mirror focal point, re-record their songs, and compare the sound intensity on plot spectrums generated from their recordings both with and without the acoustic mirrors. A worksheet and KWL chart are provided.

This is a textbook for first year Computer Science. Algorithms and Data Structures With Applications to Graphics and Geometry.

In this game activity students practice comparing shapes and naming something that is alike or different about them.

This lesson is a task in the Geometry strand that can be used for students discovering what makes a correct polygon and what does not.  This lesson can be extended to upper primary students to include classifying types of triangles.https://goopenva.org/courses/1-g-all-vs-only-some

Short pieces of chenille stem arranged inside a box look like a random jumble of line segments—until viewed in the proper perspective.

Note: This activity is detail oriented and time intensive. It’s done by threading a long length of fishing line through twenty small holes, and then attaching short pieces of chenille stem to create a suspended pattern. When you look through a viewing hole, that random-looking pattern resolves into the form of a chair. If you think being a watchmaker is something you’d hate, then you might want to rethink doing this Snack!

This task provides a construction of the angle bisector of an angle by reducing it to the bisection of an angle to finding the midpoint of a line segment. It is worth observing the symmetry -- for both finding midpoints and bisecting angles, the goal is to cut an object into two equal parts. The conclusion of this task is that they are, in a sense, of exactly equivalent difficulty -- bisecting a segment allows us to bisect and angle (part a) and, conversely, bisecting an angle allows us to bisect a segment (part b). In addition to seeing how these two constructions are related, the task also provides an opportunity for students to use two different triangle congruence criteria: SSS and SAS.

This short video and interactive assessment activity is designed to give fourth graders an overview of classification of angles.

This short video and interactive assessment activity is designed to give fourth graders an overview of measurement of angles.

We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).Differentiation is also used in analysis of finance and economics.

The famous story of Archimedes running through the streets of Syracuse (in Sicily during the third century bc) shouting ''Eureka!!!'' (I have found it) reportedly occurred after he solved this problem. The problem combines the ideas of ratio and proportion within the context of density of matter.

This learning video deals with a question of geometrical probability. A key idea presented is the fact that a linear equation in three dimensions produces a plane. The video focuses on random triangles that are defined by their three respective angles. These angles are chosen randomly subject to a constraint that they must sum to 180 degrees. An example of the types of in-class activities for between segments of the video is: Ask six students for numbers and make those numbers the coordinates x,y of three points. Then have the class try to figure out how to decide if the triangle with those corners is acute or obtuse.

In this problem, students are given a picture of two triangles that appear to be similar, but whose similarity cannot be proven without further information. Asking students to provide a sequence of similarity transformations that maps one triangle to the other focuses them on the work of standard G-SRT.2, using the definition of similarity in terms of similarity transformations.

This short video and interactive assessment activity is designed to give fourth graders an overview of composite figures composed of squares and rectangles.

This short video and interactive assessment activity is designed to give fourth graders an overview of area and perimeter of rectangle.

This problem is part of a very rich tradition of problems looking to maximize the area enclosed by a shape with fixed perimeter. Only three shapes are considered here because the problem is difficult for more irregular shapes.

The purpose of this task is primarily assessment-oriented, asking students to demonstrate knowledge of how to determine the congruency of triangles.

This course is an arithmetic course intended for college students, covering whole numbers, fractions, decimals, percents, ratios and proportions, geometry, measurement, statistics, and integers using an integrated geometry and statistics approach. The course uses the late integers model—integers are only introduced at the end of the course.

Learn why artists have been featuring food as a subject in their work for centuries.  You’ve been told to eat your vegetables, but have you ever tried to paint them? Special Guest Lisa McLaughlin, the baker behind Jesse’s Girl Cookies, invites us into her kitchen to experiment with modern art techniques on cakes, and then we’ll make our own painting of a scrumptious treat inspired by 20th-Century painter Wayne Thiebaud.

"I prefer to think that we arrive at insight by experience..."-Josef Albers Examining art with a mathematical lens can help students articulate how they see and understand spatial and numerical relationships. Use this resoure to explore prints by artist and teacher Josef Albers to help students expand their understanding of geometric concepts such as parallel lines, congruent angles, rectangular prisms and more.The resource includes: Short introduction to Albers and his ideas.Examples of Albers works for examination. Suggested open-ended activity for further exploration Discussion prompts This activity can be structured as introductory exploration or informal formative evaluation. Use student ideas generated as a reference and springboard for more formal instruction and problem-solving.