To describe how oscillations are supported in systems of differential equations, we present a classic "Romeo and Juliet" picture of two-dimensional oscillations, and we analyze how trajectories change as nullclines are arranged at different angles in the phase plane. In addition to models based on traditional systems of differential equations, dynamical systems with time delays and dynamical systems with stochastic fluctuation (i.e. stochastic resonance) can also support oscillations.

Differentiation is what we do to enable more students to meet outcomes. It is the way in which we respond to the learning differences our students have which means it is also an ongoing reflective process.

We gather data before, during and after instruction in order to choose the right tools in order to reach the needs of our learners. The teacher who plans instruction to accommodate the differences among student’s, designs or chooses the best pre-assessment tools. The results are then used to enhance the instruction and learning experiences on the journey.

This Module discusses the importance of differentiating three aspects of instruction: content, process (instructional methods), and product (assessment). It explores the student traits—readiness level, interest, and learning preferences—that influence learning (est. completion time: 3 hours).

Various PDF Handouts on:
Choice Menus, Graphic Organizers, RAFTS, Cubing & Think Dots, Sample Centers, Literacy Stations, Measurement Choice Board, RAN Organizer, KWHLAW Chart

Differentiation is a teaching method that varies the content, process, product or learning environment relate to student interest, learning profile or readiness.

In the five parts of this video, we define the derivative and then build a cribsheet of rules for expressing the slopes of simple functions and combinations of functions. These include the power rule, the chain rule, the product and quotient rules, and the rules for differentiating sinusoidal functions.

The following is a Professional Development on Differentiated Instruction & Personalized Learning following the PeBL Philosophy.

The PowerPoint presentation is narrated. Please look in the bottom right of each slide for the speaker icon and click it to hear the narration. The presentation will take approximately an hour to an hour and a half to go through depending on if you take time to do the activities within or not. Please allow at least one hour to work through it.

The presentation covers: differentiation, personalization, content, process, product, REORDER, pyramid of growth, transfer of responsibility, and much more!

There is also a note-taking outline available to download and print below. It is suggested that you do this before working through the presentation.

Many different resources for beginning teachers, PD, Instructional Strategies, Multiple Intelligence, Assessment (Formative/Summative),

The first video segment presents a canonical mathematical example from quantitative biology, in which mRNA is transcribed from a gene sequence, and protein is translated from mRNA. The second segment uses eigenvector-eigenvalue analysis to sketch the trajectories of the system in a phase portrait. Finally, the third segment generalizes the linear stability analysis used to study this example.

This resource breaks down when it is necessary to get a line locate prior to completing groundwork.

In a multi-week experiment, student teams gather biogas data from the mini-anaerobic digesters that they build to break down different types of food waste with microbes. Using plastic soda bottles for the mini-anaerobic digesters and gas measurement devices, they compare methane gas production from decomposing hot dogs, diced vs. whole. They monitor and measure the gas production, then graph and analyze the collected data. Students learn how anaerobic digestion can be used to biorecycle waste (food, poop or yard waste) into valuable resources (nutrients, biogas, energy).

To reinforce students' understanding of the human digestion process, the functions of several stomach and small intestine fluids are analyzed, and the concept of simulation is introduced through a short, introductory demonstration of how these fluids work. Students learn what simulation means and how it relates to the engineering process, particularly in biomedical engineering. The teacher demo requires vinegar, baking soda, water and aspirin.

The digestive system is amazing: it takes the foods we eat and breaks them into smaller components that our body can use for energy, cell repair and growth. This lesson introduces students to the main parts of the digestive system and how they interact. In addition, students learn about some of the challenges astronauts face when trying to eat in outer space.

Hank takes us through the bowels of the human digestive system and explains why it's all about surface area.

In this video we introduce the digestive system. We look at the two types of digestion: mechanical digestion and chemical digestion. We also look at the two subdivisions of the digestive system: the digestive tracts and the accessory structures.

Lesson 1 in our Digestive System series. This is part of our Anatomy and Physiology lecture series.

If this video helps you please be sure to LST -like subscribe and tell your friends. Your support helps us make more videos. For the complete series please visit http://mrfordsclass.net/

Other Free Videos in the Digestive System series:
-Introduction to the Digestive System (18:01): http://youtu.be/V71Ao98KePI
-The Mouth (18:02): http://youtu.be/-LWqhNaQjvk
-The Throat (18:03): http://youtu.be/guXIwvrUGM4

The mouth is our first stop in our digestive system. It is made of our cheeks, lips, tongue, and teeth. We take a look at the mouth as well as the components and how they help with the digestion of food.

Lesson 2 in our Digestive System series. This is part of our Anatomy and Physiology lecture series.

If this video helps you please be sure to LST -like subscribe and tell your friends. Your support helps us make more videos. For the complete series please visit http://mrfordsclass.net/

Other Free Videos in the Digestive System series:
-Introduction to the Digestive System (18:01): http://youtu.be/V71Ao98KePI
-The Mouth (18:02): http://youtu.be/-LWqhNaQjvk
-The Throat (18:03): http://youtu.be/guXIwvrUGM4

Moving down the digestive system we take a look at the throat. Specifically we examine the pharynx, and the esophagus. We also look at how we swallow, breaking it down into the two phases.

Lesson 3 in our Digestive System series. This is part of our Anatomy and Physiology lecture series.

If this video helps you please be sure to LST -like subscribe and tell your friends. Your support helps us make more videos. For the complete series please visit http://mrfordsclass.net/

Other Free Videos in the Digestive System series:
-Introduction to the Digestive System (18:01): http://youtu.be/V71Ao98KePI
-The Mouth (18:02): http://youtu.be/-LWqhNaQjvk
-The Throat (18:03): http://youtu.be/guXIwvrUGM4

A read-aloud of Patricia PolaccoŐs "Thank You, Mr. Falker" helps promote deeper comprehension through questioning to achieve personal connections and discussions of character and theme.

This lesson, in which students research worms in order to create a classroom habitat, incorporates reading and writing across content areas as well as math and science activities.