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  • MI.Math.Practice.MP.6 - Attend to precision. Mathematically proficient students try to communi...
  • MI.Math.Practice.MP.6 - Attend to precision. Mathematically proficient students try to communi...
Classical Mechanics
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This first course in the physics curriculum introduces classical mechanics. Historically, a set of core concepts—space, time, mass, force, momentum, torque, and angular momentum—were introduced in classical mechanics in order to solve the most famous physics problem, the motion of the planets.

Subject:
Physical Science
Physics
Material Type:
Full Course
Provider:
MIT
Provider Set:
High School Highlights
Author:
Anna Frebel
Deepto Chakrabarty
Michelle Tomasik
Peter Dourmashkin
Vladan Vuletic
Date Added:
12/13/2019
Classical Mechanics: A Computational Approach, Fall 2008
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" We will study the fundamental principles of classical mechanics, with a modern emphasis on the qualitative structure of phase space. We will use computational ideas to formulate the principles of mechanics precisely. Expression in a computational framework encourages clear thinking and active exploration. We will consider the following topics: the Lagrangian formulation; action, variational principles, and equations of motion; Hamilton's principle; conserved quantities; rigid bodies and tops; Hamiltonian formulation and canonical equations; surfaces of section; chaos; canonical transformations and generating functions; Liouville's theorem and PoincarĚŠ integral invariants; PoincarĚŠ-Birkhoff and KAM theorems; invariant curves and cantori; nonlinear resonances; resonance overlap and transition to chaos; properties of chaotic motion. Ideas will be illustrated and supported with physical examples. We will make extensive use of computing to capture methods, for simulation, and for symbolic analysis."

Subject:
Physical Science
Physics
Material Type:
Full Course
Provider:
MIT
Provider Set:
MIT OpenCourseWare
Author:
Sussman, Gerald
Wisdom, Jack
Date Added:
01/01/2008
The Claw
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Educational Use
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Students learn about gear ratios and power by operating toy mechanical cranes of differing gear ratios. They attempt to pick up objects with various masses to witness how much power must be applied to the system to oppose the force of gravity. They learn about the concept of gear ratio and practice calculating gear ratios on worksheets, discovering that smaller gear ratios are best for picking objects up quickly, and larger gear ratios make it easier to lift heavy objects.

Subject:
Applied Science
Engineering
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Marissa H. Forbes
Zachary Nishino
Date Added:
09/18/2014
Collision Lab
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CC BY
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Investigate collisions on an air hockey table. Set up your own experiments: vary the number of discs, masses and initial conditions. Is momentum conserved? Is kinetic energy conserved? Vary the elasticity and see what happens.

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Ariel Paul
Jon Olson
Kathy Perkins
Mike Dubson
Mindy Gratny
Sam Reid
Trish Loeblein
Date Added:
10/01/2010
Comparing Fractions Using a Fraction Bar Illustration
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This short video and interactive assessment activity is designed to teach fifth graders about comparing fractions using a fraction bar illustration.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Concentration
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CC BY
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Watch your solution change color as you mix chemicals with water. Then check molarity with the concentration meter. What are all the ways you can change the concentration of your solution? Switch solutes to compare different chemicals and find out how concentrated you can go before you hit saturation!

Subject:
Physical Science
Physics
Material Type:
Simulation
Provider:
University of Colorado Boulder
Provider Set:
PhET Interactive Simulations
Author:
Chris Malley
Emily B. Moore
Julia Chamberlain
Kathy Perkins
Kelly Lancaster
Date Added:
03/09/2012
Convert Between Words and Numbers to 100000
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This short video and interactive assessment activity is designed to teach fourth graders about turning words into numbers using place value models.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Count the Digits
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CC BY
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This Nrich activity, in line with the theme for this month, offers an 'action' to perform on a group of numbers which pupils can continue and explore. Or, you could think of the writing down of the 'description' of a sequence as an action performed on that sequence. It might particularly appeal to those pupils who enjoy number work but who are perhaps not used to succeeding in this area.

Subject:
Mathematics
Material Type:
Activity/Lab
Date Added:
06/13/2021
Density Column Lab - Part 1
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Educational Use
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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.

Subject:
Applied Science
Engineering
Mathematics
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Barry Williams
Jessica Ray
Phyllis Balcerzak
Date Added:
09/18/2014
Density Column Lab - Part 2
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Educational Use
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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.

Subject:
Applied Science
Chemistry
Engineering
Life Science
Mathematics
Physical Science
Physics
Material Type:
Activity/Lab
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Barry Williams
Jessica Ray
Phyllis Balcerzak
Date Added:
09/18/2014
Equivalent Fractions
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The math learning center is an app and online platform that allows students to use manipulatives virtually. In this activity, students will show equivalent fractions using lines and shapes.

Subject:
Education
Educational Technology
Material Type:
Activity/Lab
Game
Interactive
Module
Provider:
REMC Association of Michigan
Provider Set:
MiTechKids
Author:
REMC Association of Michigan
Date Added:
09/25/2023
Factors World Problems
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CC BY-NC-SA
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This short video and interactive assessment activity is designed to teach fourth graders about completing the number patterns based on the multiplication table.

Subject:
Mathematics
Numbers and Operations
Material Type:
Assessment
Interactive
Lecture
Provider:
CK-12 Foundation
Provider Set:
CK-12 Elementary Math
Date Added:
04/03/2018
Finding Areas of Polygons, Variation 1
Unrestricted Use
CC BY
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The purpose of this task is to have students work on a sequence of area problems that shows the advantage of increasingly abstract strategies in preparation for developing general area formulas for parallelograms and triangles.

Subject:
Geometry
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012
Forms of Linear Equations
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Educational Use
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Students learn about four forms of equations: direct variation, slope-intercept form, standard form and point-slope form. They graph and complete problem sets for each, converting from one form of equation to another, and learning the benefits and uses of each.

Subject:
Algebra
Applied Science
Engineering
Mathematics
Material Type:
Lesson Plan
Provider:
TeachEngineering
Provider Set:
TeachEngineering
Author:
Aubrey McKelvey
Date Added:
09/18/2014
Freckle
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CC BY-NC-SA
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Freckle is a FREE website that provides online learning in math, science, social studies and english language arts. Students take a pretest and then their individualized learning plan begins.

Subject:
Education
Educational Technology
Material Type:
Activity/Lab
Game
Interactive
Module
Provider:
REMC Association of Michigan
Provider Set:
MiTechKids
Author:
REMC Association of Michigan
Date Added:
09/25/2023
Friends Meeting on Bicycles
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CC BY
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This series of 5 word problems lead up to the final problem. Most students should be able to answer the first two questions without too much difficulty. The decimal numbers may cause some students trouble, but if they make a drawing of the road that the girls are riding on, and their positions at the different times, it may help. The third question has a bit of a challenge in that students won't land on the exact meeting time by making a table with distance values every hour. The fourth question addresses a useful concept for problems involving objects moving at different speeds which may be new to sixth grade students.

Subject:
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
05/01/2012