ADDITION WITH INTEGERS
If both numbers are negative, add the numbers and put a negative sign in front of the answer.
If both numbers are positive, add the numbers and put a positive sign (or no sign at all) in front of the answer.
If only one of the numbers in an addition problem is negative, subtract the numbers. If the bigger number in the problem is negative use a negative sign in front of your answer. If the bigger number in the problem is positive, use a positive sign in front of your answer.
SUBTRACTION WITH INTEGERS
Add the opposite! Change the subtraction problem to an addition problem to make it easier to solve.
Follow these steps:
Change the subtraction sign to addition.Change the sign of the second number to its opposite.Then follow the rules for addition of negative numbers (see above).
MULTIPLICATION AND DIVISION OF INTEGERS
Positive × positive = positive
Positive ÷ positive =positive
Negative × negative =positive
Negative ÷ negative =positive
Negative × positive =negative
Negative ÷ positive =negative
Geometry Terms
Acute angle - An angle measuring less than 90 degrees.
Adjacent-To be next to, in contact with.
Arc- Part of the outside of a circle or curve between two points.
Area - The number of square units on a surface.
Bisect - To divide a line segment, angle, or an arc into 2 equal parts.
Chord - A line joining two points of a circle. A chord that passes through the center of a circle is a diameter.
Circle - A set of all points that are the same distance from the center.
Circumference - The distance around a circle.
Complementary Angles -Two angles that add up to 90 degrees.
Congruent - Two geometric figures that are the same shape and size.
Consecutive - Following one after the other.
Decagon - A polygon with 10 sides and 10 angles.
Diagonal - A segment joining 2 non-consecutive vertices.
Diameter- A segment that passes through the center of a circle and has both endpoints on the circle.
Equilateral Triangle - A three sided figure with three congruent sides.
Hemisphere- Half a sphere (ball shape).
Hexagon - A polygon with 6 sides.
Horizontal - A line going across ______________
Intersecting Lines - Lines that meet at a point.
Isosceles Triangle- A triangle that has only two sides of equal length.
Kilogram or kilometer – One thousand grams or one thousand meters.
Line - A set of points that form a straight path extending infinitely in two directions.
Line segment - A part of a line that has two endpoints.
Midpoint - A point that divides a segment into two congruent segments.
Obtuse angle - An angle that measures m0re than 90 degrees and less than 180 degrees.
Octagon - A polygon with 8 sides.
Parallelogram - A quadrilateral with opposite sides parallel and congruent.
Pentagon - A polygon with 5 sides.
Perimeter - The distance around the outside of a shape or figure.
Perpendicular - Two lines that meet at right angles.
Point - An exact location in space.
Polygon - A simple closed figure made up of segments. A many sided figure.
Quadrilateral - A four sided figure that measures 360 degrees.
Radius - A segment in a circle that connects the midpoint of the circle with a point on the circle.
Rectangle - A quadrilateral with parallel sides and 4 right angles.
Rhombus - A parallelogram with all 4 sides the same length but no right angles.
Right angle - An angle that measures 90 degrees.
Square - A 4 sided polygon with all sides the same length and all right angles.
Straight line - An angle measuring 180 degrees.
Supplementary angles - Two angles that add up to 180 degrees.
Symmetry-Two halves of a figure that perfectly match when folded down the middle.
Trapezoid - A quadrilateral with only one pair of parallel sides.
Triangle - A polygon with 3 sides and three angles that add up to 180 degrees.
Vertex - A corner of a shape. Two rays form an angle at a vertex.
Vertical - A line going up and down.
Volume - The amount of space a shape occupies. Length times width times height.
Measures of Central Tendency
Range: The difference between the highest and lowest numbers in a list. To show the range, first write it as the biggest number to the lowest (17-5), then subtract and show your answer (12).
Median: The middle number in a list when all the numbers have been listed in size order. If there are two numbers in the middle, add them together and divide by two to get the median.
Mean (Average): To find the average of a group of numbers, add all the numbers together and divide the answer (sum) by how many numbers are in the list.
Mode: The number that occurs most often in the list.