In this first part of a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate the densities of several common, irregularly shaped objects with the purpose to resolve confusion about mass and density. After this activity, conduct the associated Density Column Lab - Part 2 activity before presenting the associated Density & Miscibility lesson for discussion about concepts that explain what students have observed.

Concluding a two-part lab activity, students use triple balance beams and graduated cylinders to take measurements and calculate densities of several household liquids and compare them to the densities of irregularly shaped objects (as determined in Part 1). Then they create density columns with the three liquids and four solid items to test their calculations and predictions of the different densities. Once their density columns are complete, students determine the effect of adding detergent to the columns. After this activity, present the associated Density & Miscibility lesson for a discussion about why the column layers do not mix.

Teachers will take students through a presentation so they can collect data to look for a pattern in similar 45-45-90 triangles' and 30-60-90 triangles' side lengths.  Best suited for after students are able to apply the Pytahgroean Theorem, there are guided notes for students to complete, along with practice pages to apply the patterns the students themselves derive. Standards: IN G.T.10 - Explore the relationship between the sides of special right triangles (30° - 60° and 45° - 45°) and use them to solve realworld and other mathematical problems.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important aspects of the task and its potential use.

Learn to connect position-time and velocity-time graphs. Explore velocity using an animated car icon connected to either a position-time or a velocity-time graph, or both. Then investigate other motion graphs.

This activity was created by Molly Clare Wilson, it is a quick introductory design thinking exercise.

A resource to help instructors design quality online discussions.

Created as part of a project in the 2017-18 Cross-institutional ID2ID Peer Mentoring Program for Instructional Designers co-sponsored by Penn State University and the EDUCAUSE Learning Initiative (ELI) (http://www.id2id.org). Examples are provided for Canvas LMS users. However, you may copy (Remix) and edit for another LMS or improve it as described in the "Improve this resource" section to earn an open digital badge.

Before creating this OER, content was shared with and improved upon through suggestions from instructional professionals in the ID2ID and Canvas Learning Management System (LMS) communities.

Students learn about the mathematical characteristics and reflective property of ellipses by building their own elliptical-shaped pool tables. After a slide presentation introduction to ellipses, student “engineering teams” follow the steps of the engineering design process to develop prototypes, which they research, plan, sketch, build, test, refine, and then demonstrate, compare and share with the class. Using these tables as models to explore the geometric shape of ellipses, they experience how particles rebound off the curved ellipse sides and what happens if particles travel through the foci. They learn that if a particle travels through one focal point, then it will travel through the second focal point regardless of what direction the particle travels.

Interactive Desmos activities that are associated with Units of the Secondary Math II - Mathematics Vision Project (MVP) curriculum.
Teachers will want to create a class code to share with students to monitor student progress as they work through the Desmos activities for each of the lessons.

At Desmos, our mission is to help every student learn math and love learning math. With that in mind, we’ve assembled a collection of unique and engaging digital activities, which are free for you and your students. Access to most activities requires a free account.

Permitted use: a) as an end user, for your personal, non-commercial use or (b) as a teacher, for academic use by you and your students in individual classes

Research-grade Global Positioning Systems (GPS) allow students to deduce that Earth's crust is changing shape in measurable ways. From data gathered by EarthScope's Plate Boundary Observatory, students discover that the Pacific Northwest of the United States and coastal British Columbia -- the Cascadia region - are geologically active: tectonic plates move and collide; they shift and buckle; continental crust deforms; regions warp; rocks crumple, bend, and will break.

(Note: this resource was added to OER Commons as part of a batch upload of over 2,200 records. If you notice an issue with the quality of the metadata, please let us know by using the 'report' button and we will flag it for consideration.)

Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik ??? ?????????? ?????? ???????? ?? ???????????? ????? ? ????

Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik

This dynamic worksheet illustrates the relationship between the DETERMINANT, the Area of the pre-image, and the Area of the image.

Ana Donevska Todorova Humboldt Universitﾊt zu Berlin Mathematisch-Naturwissenschaftliche Fakultﾊt II Institut fﾟr Mathematik, Didaktik der Mathematik

In this deterministic cellular automata model, interactions between neighboring automata are described using a prisoner's dilemma. Limiting dispersal of seeds of annual plants can permit heterogeneous co-existence, whereas thorough mixing instead allows one subpopulation to dominate quickly.

This lesson compares rational number and orders them from least to greatest using the number line. [Developmental Math playlist: Lesson 132 of 196]