Transcript Examples
Seventh Grade Math Vocabulary Acute Triangle A triangle whose angles all measure less than 90° Examples 36 Golden acute triangle 72 72 Area of Complex Shapes The number of square units needed to cover a given surface Divide the shape into shapes whose areas are easy to calculate and then add (or subtract) to find the area of the given shape Example 1500 3000 The area of the given shape is: 1500 + 3000 = 4500 square units Area of Irregular shapes The number of square units needed to cover a given surface Count the number of whole square units and combine partial square units together to get a total area Examples The area is approximately 32 units² The area is approximately 10 units² Box & Whisker Plot A graph that shows how far apart and how evenly data are distributed Example 68 is the median, 52 is the lower quartile, 87 is the upper quartile 18 27 34 52 54 59 61 68 78 82 85 87 91 93 100 Equiangular Triangle A triangle with three congruent angles (and also three congruent sides) 60 60 60 Equilateral Triangle A triangle with three congruent sides (and also three congruent angles) Examples Exponent Notation A number written with a base an exponent Examples Exponent 2 2 8 3 Base 11 = 64 Exponent The number that indicates how many times the base is used as a factor Examples 4 4444 3 4 444 2 4 44 4 8 88 2 base Inequalities (number line) The graph of a mathematical sentence showing the relationship between quantities that are not equal, using <, >, <, >, or Examples x2 x2 x4 x 2 Integer The set of whole numbers and their opposites Examples Integers 2 2 0 12 Use the remaining integers to Make every circle add to zero Isosceles Triangle A triangle with (at least) two congruent sides The two congruent sides are called legs The third side is the base The angle formed by the legs is the vertex angle Examples: Vertex angle leg leg base Linear Equation An equation that can be represented as a line on the coordinate plane Examples x y 2 y x3 y 2x 3 Multi-step Equations An equation where you have to do more than one operation in order to find the solutions Examples 2 x 3 17 2 x 20 x 10 5 x 2 x 18 3x 18 x 6 3( x 1) 15 3x 3 15 3x 12 x4 Obtuse Triangle A triangle containing exactly one obtuse angle (an angle greater than 90 degrees) 90 Opposite Two numbers (represented by points on the number line) that are the same distance from zero and are on opposite sides of zero Examples The opposite of 0 is 0 8 and -8 are opposites 1 1 and are opposites 2 2 4 and -4 are opposites Percents (above 100, below 1) A percent is a ratio that compares a number to 100 Percent means “per hundred” Examples .7 10 7 .7% 100 10 1000 . A percent above 100 means you have more than a whole: 2 1 5 250 250% 2 2 100 Pi (approximation) The ratio of the circumference of a circle to the length of its diameter C 31.4cm Examples d 10cm 31.4 10 3.14 C d d 4cm C 12.56cm 12.56 3.14 4 3.14159265358979323846264338327950288419716939937510582... Rational Numbers a Any number that can be expressed as a ratio b where a and b are integers and b 0 Decimals representing rational numbers either terminate or repeat Examples 6 6 1 1 .3 3 1 .1 9 Real Numbers 2 3 0 0 1 2 .2 9 2 3 Rational Numbers Integers Whole numbers Natural numbers ( is irrational) Irrational numbers Regular Polygon A polygon in which all sides and all angles are congruent Examples pentagon Equilateral triangle heptagon hexagon square decagon octagon nonagon Right Triangle A triangle with exactly one right angle Examples 90 90 Scale Factor The common ratio for pairs of corresponding sides of similar figures The ratio used to enlarge or reduce objects Examples 10 8 4 5 6 3 The scale factor is 2 6 8 10 2 3 4 5 Models: if a car is 204” in length and the length of a model of the car is 12” long, 12 1 the scale factor would be 204 17 Scalene Triangle A triangle with no congruent sides Its sides are all different in length (Its angles are also all different in size) Examples abc 10 14 20 Scatter Plots A graph of plotted points that attempts to show a relationship (correlation) between two variables Examples This data shows a positive correlation: As x increases, so does y This data shows a negative correlation: As x increases, y decreases This data shows no correlation Similarity Figures that have the same shape, but not necessarily the same size Examples Similar 25 25 Similar 2 5 65 4 2 5 4 10 65 Similar polygons have congruent corresponding angles 10 Similar polygons have corresponding sides that form equivalent ratios (proportions)