State - Jackson County Intermediate School District
... N.MR.05.07 Find the prime factorization of numbers from 2 through 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every whole number greater than 1 is either prime orcan be expressed as a product of primes.* (Future) ...
... N.MR.05.07 Find the prime factorization of numbers from 2 through 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every whole number greater than 1 is either prime orcan be expressed as a product of primes.* (Future) ...
Trigonometric functions
... A periodic function is one which repeats itself over and over in a horizontal direction, in intervals of the same length. The period of a periodic function is the length of one repetition or cycle. f(x) is a periodic function with period p , f (x + p) = f (x) for all x, and p is the smallest positiv ...
... A periodic function is one which repeats itself over and over in a horizontal direction, in intervals of the same length. The period of a periodic function is the length of one repetition or cycle. f(x) is a periodic function with period p , f (x + p) = f (x) for all x, and p is the smallest positiv ...
1-1 The Coordinate Plane pg. 6
... The Pythagorean Theorem states that in a right triangle, the square of the measure of the hypotenuse is equal to the sum of the squares of the measures of the legs. Use patty paper to create several obtuse and acute triangles. Measure the sides of each. Square the measure of each side. Compare the s ...
... The Pythagorean Theorem states that in a right triangle, the square of the measure of the hypotenuse is equal to the sum of the squares of the measures of the legs. Use patty paper to create several obtuse and acute triangles. Measure the sides of each. Square the measure of each side. Compare the s ...
CONSTRUCTING TASK: My Many Triangles
... As an introduction to this task, students can be asked to fold different types of triangles. Using a piece of plain paper, ask students if they can fold to create any of the following triangles. (Small pieces of plain paper can be used, approximately 4” x 4”.) • Equilateral • Right • Acute • Obtuse ...
... As an introduction to this task, students can be asked to fold different types of triangles. Using a piece of plain paper, ask students if they can fold to create any of the following triangles. (Small pieces of plain paper can be used, approximately 4” x 4”.) • Equilateral • Right • Acute • Obtuse ...
Document
... When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent. For the triangles below, you can write ABC PQR , which reads “triangle ABC is congruent to triangle PQR.” The notation shows ...
... When two figures are congruent, there is a correspondence between their angles and sides such that corresponding angles are congruent and corresponding sides are congruent. For the triangles below, you can write ABC PQR , which reads “triangle ABC is congruent to triangle PQR.” The notation shows ...
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.