
Scheme of work – Topic 5: Geometry and trigonometry
... common angle and sides as the image on the first page of Chapter 15, so that students or the teacher can refer to it. A slider can be used to vary the angle, and by moving the blue points you can change the size and orientation of the triangles; this demonstrates that the three ratios stay equal thr ...
... common angle and sides as the image on the first page of Chapter 15, so that students or the teacher can refer to it. A slider can be used to vary the angle, and by moving the blue points you can change the size and orientation of the triangles; this demonstrates that the three ratios stay equal thr ...
HIGH SCHOOL COURSE OUTLINE - Wallingford Public Schools
... NOTE: This learning strand should be taught through the integration of the other learning strands. This learning strand is not meant to be taught in isolation as a separate unit. ENDURING UNDERSTANDING(S) • A problem solver understands what has been done, knows why the process was appropriate, and c ...
... NOTE: This learning strand should be taught through the integration of the other learning strands. This learning strand is not meant to be taught in isolation as a separate unit. ENDURING UNDERSTANDING(S) • A problem solver understands what has been done, knows why the process was appropriate, and c ...
Common Core Geometry - Honors Postulates and Theorems
... 2) Theorem: A statement that is proved through deductive reasoning. 3) Deductive reasoning: Using the fact to formulate conclusions that must be true. Properties and Postulates 1) Addition Postulate: 2) Subtraction Postulate: ...
... 2) Theorem: A statement that is proved through deductive reasoning. 3) Deductive reasoning: Using the fact to formulate conclusions that must be true. Properties and Postulates 1) Addition Postulate: 2) Subtraction Postulate: ...
Absolute geometry
... • Absolute geometry with congruent triangles is starting to look very much like Euclidean geometry. You have to be very careful to base results on things already established, and not bring in any prior knowledge of Euclidean geometry. Be sure you can justify any calculation you do by citing a theore ...
... • Absolute geometry with congruent triangles is starting to look very much like Euclidean geometry. You have to be very careful to base results on things already established, and not bring in any prior knowledge of Euclidean geometry. Be sure you can justify any calculation you do by citing a theore ...
Multilateration
Multilateration (MLAT) is a navigation technique based on the measurement of the difference in distance to two stations at known locations that broadcast signals at known times. Unlike measurements of absolute distance or angle, measuring the difference in distance between two stations results in an infinite number of locations that satisfy the measurement. When these possible locations are plotted, they form a hyperbolic curve. To locate the exact location along that curve, multilateration relies on multiple measurements: a second measurement taken to a different pair of stations will produce a second curve, which intersects with the first. When the two curves are compared, a small number of possible locations are revealed, producing a ""fix"".Multilateration is a common technique in radio navigation systems, where it is known as hyperbolic navigation. These systems are relatively easy to construct as there is no need for a common clock, and the difference in the signal timing can be measured visibly using an oscilloscope. This formed the basis of a number of widely used navigation systems starting in World War II with the British Gee system and several similar systems introduced over the next few decades. The introduction of the microprocessor greatly simplified operation, greatly increasing popularity during the 1980s. The most popular hyperbolic navigation system was LORAN-C, which was used around the world until the system was shut down in 2010. Other systems continue to be used, but the widespread use of satellite navigation systems like GPS have made these systems largely redundant.Multilateration should not be confused with trilateration, which uses distances or absolute measurements of time-of-flight from three or more sites, or with triangulation, which uses the measurement of absolute angles. Both of these systems are also commonly used with radio navigation systems.