NM3M03AAA.pdf - Mira Costa High School
... Two angles are alternate interior angles if they lie between the two lines and on opposite sides of the transversal. Alternate exterior angles Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal. Consecutive interior angles Two angles a ...
... Two angles are alternate interior angles if they lie between the two lines and on opposite sides of the transversal. Alternate exterior angles Two angles are alternate exterior angles if they lie outside the two lines and on opposite sides of the transversal. Consecutive interior angles Two angles a ...
Algebra 1 GT Lesson Plan
... Draw a large scalene triangle. Construct the orthocenter H. Construct midpoints of the three sides and call them L, M, and N. Label the points where the altitudes intersect the sides of triangle ABC, and call these R, S, and T. Construct the midpoints of AH, BH, and CH, and call them X, Y, ...
... Draw a large scalene triangle. Construct the orthocenter H. Construct midpoints of the three sides and call them L, M, and N. Label the points where the altitudes intersect the sides of triangle ABC, and call these R, S, and T. Construct the midpoints of AH, BH, and CH, and call them X, Y, ...
Progression grid
... The specification content is shown in a two-way table. Each row represents a particular topic, eg fractions or Pythagoras and trigonometry. Each column represents one of the six stages, from Foundation Initial to Higher Gold. As students are learning about any part of the specification, you can quic ...
... The specification content is shown in a two-way table. Each row represents a particular topic, eg fractions or Pythagoras and trigonometry. Each column represents one of the six stages, from Foundation Initial to Higher Gold. As students are learning about any part of the specification, you can quic ...
Chapter 8
... Then, use a calculator to check if all three ratios are equal. If they are, then the two triangles are similar. ...
... Then, use a calculator to check if all three ratios are equal. If they are, then the two triangles are similar. ...
QUESTIONS for latest set of presentations
... 3. Pointed out flaws in Ptolemy’s proof of the parallel postulate and then tried to prove it himself d. Saccheri 4. Observed that extended continuously did not necessarily imply infinitely long and used this fact to create a new system of geometry e. Lobachevsky 5. Wrote axioms of geometry which inc ...
... 3. Pointed out flaws in Ptolemy’s proof of the parallel postulate and then tried to prove it himself d. Saccheri 4. Observed that extended continuously did not necessarily imply infinitely long and used this fact to create a new system of geometry e. Lobachevsky 5. Wrote axioms of geometry which inc ...
Unit Three - DMPS Elementary Mathematics
... What does this standard mean the students will know and be able to do? This standard calls for students to explore the connection between angles (measure of rotation) and circular measurement (360 degrees). Students explore an angle as a series of ―one degree turns.‖ A water sprinkler rotates one de ...
... What does this standard mean the students will know and be able to do? This standard calls for students to explore the connection between angles (measure of rotation) and circular measurement (360 degrees). Students explore an angle as a series of ―one degree turns.‖ A water sprinkler rotates one de ...
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.Trigonometric functions have a wide range of uses including computing unknown lengths and angles in triangles (often right triangles). In this use, trigonometric functions are used, for instance, in navigation, engineering, and physics. A common use in elementary physics is resolving a vector into Cartesian coordinates. The sine and cosine functions are also commonly used to model periodic function phenomena such as sound and light waves, the position and velocity of harmonic oscillators, sunlight intensity and day length, and average temperature variations through the year.In modern usage, there are six basic trigonometric functions, tabulated here with equations that relate them to one another. Especially with the last four, these relations are often taken as the definitions of those functions, but one can define them equally well geometrically, or by other means, and then derive these relations.