Just as rigid motions are used to define congruence in Module 1, so dilations are added to define similarity in Module 2.  To be able to discuss similarity, students must first have a clear understanding of how dilations behave.  This is done in two parts, by studying how dilations yield scale drawings and reasoning why the properties of dilations must be true. Once dilations are clearly established, similarity transformations are defined and length and angle relationships are examined, yielding triangle similarity criteria.  An in-depth look at similarity within right triangles follows, and finally the module ends with a study of right triangle trigonometry.

Find the rest of the EngageNY Mathematics resources at https://archive.org/details/engageny-mathematics.

In this lesson, the electromagnetic spectrum is explained and students learn that visible light makes up only a portion of this wide spectrum. Students also learn that engineers use electromagnetic waves for many different applications.

Meaningful STEM learning can happen at home! Embark on a journey with your students to answer the driving question: How can we design a solution to prevent Washington’s coast from eroding?

Students teams design and build shoe prototypes that convert between high heels and athletic shoes. They apply their knowledge about the mechanics of walking and running as well as shoe design (as learned in the associated lesson) to design a multifunctional shoe that is both fashionable and functional.

This video segment examines the issue of climate change from the perspective of Native Americans. The video segment was adapted from a student video produced at Haskell Indian Nations University in Lawrence, Kansas.

This course is an introduction to discrete applied mathematics. Topics include probability, counting, linear programming, number-theoretic algorithms, sorting, data compression, and error-correcting codes. This is a Communication Intensive in the Major (CI-M) course, and thus includes a writing component.

The main objective of this cross-disciplinary course is to understand the historical development and the current status of ideas and models, to present and question the constraints from the different research fields, and to investigate if and how the different views on mantle flow can be reconciled with the currently available data.

The example of rabbits and foxes was introduced in the task (8-F Foxes and Rabbits) to illustrate two functions of time given in a table. We are now in a position to actually model the data given previously with trigonometric functions and investigate the behavior of this predator-prey situation.

These materials include background for the instructor and a lab that engages student in an analysis of global inequality while learning and using the R language (a programming language for statistics). Students ultimately write a function to access country level data from the CIA World Factbook.

This activity allows pupils to learn the difference between diurnal and nocturnal animals, understand that when it is day here, it is night on the other side of the world, and that it is light when the Sun comes up and it is dark when the Sun goes down. At the end, pupils build a model of the Earth and can experiment with day and night.

Students practice building food chains and webs, explore interrelationships in the EOL Food Webs Tool, then model the flow of energy in food webs.

At its core, the LEGO MINDSTORMS(TM) NXT product provides a programmable microprocessor. Students use the NXT processor to simulate an experiment involving thousands of uniformly random points placed within a unit square. Using the underlying geometry of the experimental model, as well as the geometric definition of the constant π (pi), students form an empirical ratio of areas to estimate a numerical value of π. Although typically used for numerical integration of irregular shapes, in this activity, students use a Monte Carlo simulation to estimate a common but rather complex analytical form the numerical value of the most famous irrational number, π.

Mapping Inequality opens the HOLC files at the National Archives to scholars, students, and residents and policy leaders in local communities. This site makes the well-known security maps of HOLC available in digital form, as well as the data and textual assessments of the area descriptions that were created to go with the maps. By bringing study of HOLC into the digital realm, Mapping Inequality embraces a big data approach that can simultaneously give a national view of the program or a neighborhood-level assessment of the 1930s real estate rescue. Project researchers are providing access to some of the digital tools and interactive resources they are using in their own research, in the hope that the public will be able to understand the effects of federal housing policy and local implementation in their own communities.

Sequence-stratigraphic and mass-balance analysis of experimental stratigraphy. Students are charged with evaluating how basin subsidence geometry influences depositional patterns. In addition to providing practice applying sequence-stratigraphic methods, this project builds quantitative data-analysis and writing skills.

DOAB is a community-driven discovery service that indexes and provides access to scholarly, peer-reviewed open access books and helps users to find trusted open access book publishers. All DOAB services are free of charge and all data is freely available.

ObjectivesAt the end of the lesson, students will be able to:Produce colour patterns using given codes after creating patterns in a whole group activity with 90% accuracy.Create data for and read a pictograph after taking a class survey with 90% accuracy.Construct and solve word problems.

In this activity learners work in pairs or small groups to evaluate energy use in their school and make recommendations for improved efficiency. Students create and use an energy audit tool to collect data and present recommendations to their class. Further communication at the school and district level is encouraged.

looks at how the sun creates a changing set of conditions in space. Learn about coronal holes, solar flares, coronal mass ejections, solar wind, magnetosphere, and auroras. See photos, graphs, and live data. Make your own space weather predictions.

Reflection questions are offered at two levels:
1. District and school level, for system-wide reflection, appropriate for district
administrators, building principals, department chairs, content lea ders, coaches
2. Teacher level, appropriate for individual teachers in considering their
data/information

This activity is a field investigation where students observe and interpret the rocks types, geologic features, and processes typical to the north shore of Lake Superior. Students use their data to develop questions that could be further investigated and to predict the sequence of events leading to the formation of these rocks and features.