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Definition: a space that is most commonly measured by degrees between two intersecting lines at a surface close to the point they meet. A right angle. 1. Adding up all angles in a 3 sided shape aka Triangle will make up to 180º 2. Adding up all angles in a 4 sided shape/ square/ rectangle/ parallelogram/quadrilateral will make up to 360º 3. If measurements of all angles Complementary angles. are same in any shape, lengths of all sides in the shape would be same. (all sides are equal in equilateral triangle, all side are same in a square, etc.) 4. A right angle (90º) is denoted by a square mark 5. If two angles add up to 180º then they are supplementary angles. Supplementary angles. Bisection is the division of something into two equal or congruent parts. This division is done by a line usually called a bisector. Common bisectors include perpendicular bisectors and segment bisectors. https://www.khanacademy.org/math /geometry/triangleproperties/perpendicular_bisectors/v /three-points-defining-a-circle Perpendicular bisector. 1. 2. 3. 4. The full arc of a circle measures 360 degrees. An arc is part of the circumference. A chord is a straight line joining two points on a circle. A tangent is a straight line that touches a single point of a circle. 5. A sector is the region between an arc and two radii. Exponent laws are there to help us solve several problems involving exponents. They allow us to take shortcuts rather than do the long math that would otherwise be required. A few examples: Multiplication Law: If the bases are the same, then all you have to do is add the exponents. The sum is the new exponent. Power of a Power Law: If there is more than one exponent, all you have to do is multiply them. The product is the new exponent. Division Law: If the bases are the same, all you have to do is subtract the exponents, your difference is your new exponent. 1. 2. 3. 4. 5. 6. 7. 8. A fraction is a numerical representation of part(s) of a whole. Top is the numerator, bottom is the denominator. Adding and subtraction of fractions require a common denominator. Multiplication and division of fractions do not require a common denominator. A proper fraction is a fraction with a numerator that is lesser than the denominator. An improper fraction is a fraction with a numerator greater than the denominator. Mixed numbers are whole numbers and proper fractions added together. A fraction multiplied by its reciprocal equals 1. raphing A graph is a diagram that visually depicts the relationship between two or more variable quantities. Graphs help us organize everyday data into something more easily decipherable for the general public. The hypotenuse is the longest side of a right angled triangle. The hypotenuse can be instrumental as it is used in the Pythagorean Theorem. If the length of the legs squared do equal to the length of the hypotenuse squared, then it can identify the triangle as a right triangle. Integers are like whole numbers but include negative numbers as well. They represent things like depth, altitude, money, and rates well because integers can represent two values: positive and negative. A few examples of graphs. When multiplying fractions, our teacher gave us a very helpful hint. Just do it. No need to worry about cross multiplying or anything else, just treat as if it were nothing more than a multiplication question, just remember to put it in lowest terms! 1) 2) 3) 4) 5) 6) 1/5 7/36 3/14 5/48 6/15 1/44 inear relations Linear relations generally consist of being able to write an equation (a linear equation) and then being able to represent that equation on a graph, with all points for any one equation remaining on the same lines. This was my linear relations project from a while back. It’s a good example because it shows how I can graph my equations. ultiplication The process of adding a number to itself a certain number of times: exponents The act of increasing a number by a set amount of times: multiplication A number line is a straight line on which every point corresponds to a real number. Number lines are most commonly used with integers as it can visually depict the positives and the negatives and show how they mirror one another. (Opposites.) pposites Opposites, in terms of math, are two or more variables that are of opposing values. This is seen in positives and negatives. Within integers, these numbers cancel each other out. Algebraically, they are similar in that they form zero pairs. x Multiplication is one of the fundamental operations that we will use all throughout life. It is a very important skill as it helps us with everyday things like handling money. Generally, numbers drop into the negatives towards the left, while numbers rise into the positive towards the right. olynomials A polynomials can consist of the following parts: Polynomials can be combined by addition, subtraction, multiplication and division, though not division by a variable. Polynomials have many terms while monomials have one and binomials have two. Constants Variables Exponents Quotients A quotient is a mathematical answer to a division question. ationality A rational number is basically any number that can be written as a fraction. This means a lot of numbers are rational numbers with the exception of numbers like square roots and pi. Symmetry is achieved when a figure can be cut in half and has both sides mirroring one another. There are different kinds of lines of symmetry, which is how the shape is cut: vertical, horizontal and oblique. 1. Triangles always equal 180 degrees. 2. Triangles always have three sides. 3. Equilateral triangles have equal sides and angles. 4. Isosceles triangles have two equal sides and angles. 5. Scalene triangles have no equal sides or angles. 6. A triangle has two legs and a hypotenuse, all are needed for the Pythagorean Theorem. Unlike terms: - These are terms in algebra whose variables (and their exponents such as 2 in x2) aren’t the same. However, coefficient (the number you multiply by, such as “3” in 3x2) does not interfere whether or term is “like” or “unlike”. ariable 1. A symbol, usually a letter, that represents a quantity. 2. Number next to a variable is known as a coefficient. 3. Unspecified term. Width: - The measurement of the extent of something from side to side. It is usually the minimum distance between two parallel lines, planes, or hyper planes that enclosure a given shape. X-axis: The horizontal axis of a twodimensional plot in Cartesian coordinates that is always oriented to be pointing to the right. Y-axis: The vertical axis of a two-dimensional plot in Cartesian coordinates. Zero is a number that belongs entirely in its own league. It is fundamental to math as it represents an additive identity to many numbers, it is the foundation of all numbers. It also has a myriad of exceptions to it, a few being: Anything multiplied by zero will yield a product of zero. You cannot divide by zero.