This 10-minute video lesson shows the Laplace Transform of t^n: L{t^n}. [Differential Equations playlist: Lesson 37 of 45]
This 11-minute video lesson shows how to use the Laplace Transform to solve an equation we already knew how to solve. [Differential Equations playlist: Lesson 32 of 45]
This 11-minute video lesson provides a grab bag of things to know about the Laplace Transform. [Differential Equations playlist: Lesson 34 of 45]
This 9-minute video lesson gives an example of using initial conditions to solve a repeated-roots differential equation .[Differential Equations playlist: Lesson 21 of 45]
This 12-minute video lesson looks at what happens when the characteristic equation only has one repeated root. [Differential Equations playlist: Lesson 20 of 45]
This 12-minute video lesson introduces separable differential equations. [Differential Equations playlist: Lesson 2 of 45]
This 14-minute video lesson explains how the product of the transforms of two functions relates to their convolution. [Differential Equations playlist: Lesson 44 of 45]
This 10-minute video lesson looks at using the method of undetermined coefficients to solve nonhomogeneous linear differential equations. [Differential Equations playlist: Lesson 22 of 45]
This 11-minute video lesson gives another example using undetermined coefficients. [Differential Equations playlist: Lesson 23 of 45]
This 8-minute video lesson gives another example where the nonhomogeneous part is a polynomial. [Differential Equations playlist: Lesson 24 of 45]
This 6-minute video lesson concludes the series on undetermined coefficients by putting it all together. [Differential Equations playlist: Lesson 25 of 45]
This 12-minute video lesson shows how to use the convolution Theorem to solve an initial value problem. [Differential Equations playlist: Lesson 45 of 45]
This 19-minute video lesson shows how to solve a non-homogeneous differential equation using the Laplace Transform. [Differential Equations playlist: Lesson 35 of 45]
This course is an introduction to differential geometry. The course itself is mathematically rigorous, but still emphasizes concrete aspects of geometry, centered on the notion of curvature.
This is a YouTube video explaining how Mastery Path and Google Forms can be used for differentiating the material to meet the needs of the students.
This article provides an overview of differentiated instruction and resources for teachers looking to differentiate science and literacy content in the elementary classroom.
This article includes a menu of post-reading activities for use with any nonfiction text. Students spend $50 on their choice of activities.
Differentiation is building different ways of learning into lessons. Accommodations are tools that help students access materials and content that are not otherwise accessible. Both are important during the planning, delivering, and wrap-up phases of lessons. Remote learning presents unique challenges that make it difficult to differentiate or make changes during a lesson. Building in opportunities for students to access the content and lesson; and work in different ways makes learning accessible and engaging for all students.
Differentiation refers to a wide variety of teaching techniques and lesson adaptations that educators use to instruct a diverse group of students. It can involve different activities to different groups of students, recognition of multiple pathways and flexibility of time to complete the tasks. Universal Design for Learning (UDL) is a proactive approach to designing learning experiences to be accessible for all students, while differentiation is a reactive evaluation of the needs of individual students where adjustments are retrofitted into the learning environment. Some people use the terms synonymously, but they are different.
This activity from the Exploratorium provides an introduction to the diffraction of light which indicates its wavelike properties. Two pencils are used to create a slit through which a flashlight bulb or candle˘ďď_s light is examined. The site contains an explanation of the observed interference patterns, additional materials that can be experimented with, and an extension activity. This activity is part of Exploratorium's Science Snacks series.