We support you every step of the way with extensive teacher resources. Our Professional Learning Program comes recommended by more than 100,000 teachers. Interested in professional learning? And teachers love it! Over 90% rank it the best professional development ever. Want to learn more about each lesson type? View our video playlist. EIPM is a structured approach to teaching programming in CS Principles. It introduces concepts in a scaffolded and approachable way to encourage student collaboration, support independent creation, and clarify the role of the teacher throughout the learning process. Each letter represents a different type of lesson (E - Explore, I - Investigate, P - Practice, M - Make), which are taught in sequence for each major programming concept. For more on the development of this lesson sequence, watch the video or read up on this introduction to EIPM. Getting started with CS Principles! Send home these fliers. Check out the full poster gallery for even more decorating options!
We are now in a position to answer the question, Does it matter if the basic arithmetic operations introduce a little more rounding error than necessary? The answer is that it does matter, because accurate basic operations enable us to prove that formulas are "correct" in the sense they have a small relative error. The section Cancellation discussed several algorithms that require guard digits to produce correct results in this sense. If the input to those formulas are numbers representing imprecise measurements, however, the bounds of Theorems 3 and 4 become less interesting. The reason is that the benign cancellation x - y can become catastrophic if x and y are only approximations to some measured quantity. But accurate operations are useful even in the face of inexact data, because they enable us to establish exact relationships like those discussed in Theorems 6 and 7. These are useful even if every floating-point variable is only an approximation to some actual value.
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