### Add, Subtract, Multiply and Divide with Integers

7 – 12 = -5
-8 + 15 = 7
-10 – 11 = -21
-12 + (-20) = -32
-5(10) = -50
-20(-4) = 80
-25/5 = -5
10/(-10) = -1
(-15)/(-3) = 5
0/(-2) = 0

### Theorem of Pythagoras

Term Definition
acute triangle an acute triangle is a triangle with three acute triangles
cube root It is used to denote the cube root.
hypotenuse A right triangle that is opposite of the right angle.
irrational number A number that cannot be written as a quotient of two integers where the denominator is not 0.
Legs The sides of a right triangle that are adjacent to the right angle. The signs labeled a and b are legs
obtuse triangle An obtuse triangle has one with one measure greater than 90 degrees.
perpendicular The sides of a right triangle that form the right angle are perpendicular.
terminating decimals A decimal that ends, or terminates. Terminating decimals are rational numbers.
theorem A theorem is a general mathematical statement that has been proven true.
square root The side length of a square that has that number as its area.
Right triangle A right triangle is a triangle with one right triangle.
Repeating decimal A decimal with a pattern of a fixed number of digits that repeats forever.
real numbers The set of all rational numbers and all irrational numbers.
rational number A number that can be written as a quotient of two integers where the denominator is not 0.
Radius A radius of a circle is the distance from the center of the center of the circle to any point on the circle.
pythagorean Theorem A statement about the relationship among the lengths of the sides of a right triangle.

### Geometry of Straight Lines

Term Definition
Gradient of straight line Steepness or slope
General equation of straight line y = mx + c
m Coefficient of x; value of gradient
c Constant term; value of y-intercept
distance between two points The absolute value of the difference of the coordinates of the points.
mid-point a point equidistant from the ends of a line or the extremities of a figure
gradient A difference in concentration, pressure, or electrical charge between two regions.
parallel Phrases or sentences of a similar construction/meaning placed side by side, balancing each other
perpendicular At an angle of 90? to a given line, plane, or surface.
y-intercept The Y-coordinate of the point where the line crosses the y-axis. (Y,0)
x-intercept The coordinate at which a graph intersects the x-axis.
The X-coordinate of the point where a line crosses the x-axis (X.0)
Straight lines with positive gradient /
What is a straight line? A straight line is a set of points with no definite starting point or end point
What is a line segment? It is a set of points with a definite start and end point

### Multiplication and Division Vocabulary

What word means equal groups of or repeated addition? multiply
What word means the number that you count by or skip count by? count by
Which number in the multiplication equation 5 x7 is the count by number? 7
What is the answer to a multiplication question? product
What word is a mathematical sentence with an equal sign? equation
What word is the first number in a multiplication equation and tells you how many times to skip count? multiplier

### Definitions For Types of Numbers

Term Definition
Real Numbers Set of Rational and Irrational Numbers
Rational Numbers Any number that can be written in the form a/b , where a and b are integers, and b is not zero.
Terminating Decimals has a finite number of digits.
Repeating Decimals block of one or more digits that repeat indefinitely.
Whole Numbers Positive numbers without a fraction or decimal, including zeros.
Integers The set of whole numbers and their opposites

v25 5
v49 7
v81 9
v16 4
v64 8
v100 10
v36 6
v50 7.1
v37 6.1
v65 8.1
v17 4.1
v5 2.2
v8 2.8
v24 4.9
v63 7.9
v80 8.9
v99 9.9
v90 9.5
v30 5.5
v42 6.5
v2 1.4

### Geometry of 2D shapes

Term Definition
Area The number of square units needed to cover a given surface
Trapezoid A quadrilateral with exactly one pair of parallel sides
Perimeter The distance around a polygon
Circumference The distance around a circle
Surface Area The sum of the areas of the faces or surfaces of a three-dimensional figure
Prism A polyhedron that has two congruent polygon shaped bases and other faces that are parallelograms
Volume The number of cubic units needed to fill a given space
Parallelogram A quadrilateral with two pairs of parallel sides
Diameter A line segment that passes through the center of a circle and has end-points on the circle or the length of that segment
Radius A line segment with one end-point at the center of a circle and the other end-point on the circle or that length of the segment
area of a rectangle length x width
area of a parallelogram base x height
area of a trapezium ((a +b) x h)/2
Area of a triangle A = (b x h) divided by 2
Circumference of circle Pi x d
Perimeter of a rectangle (and parallelograms) A = 2(L x W)
Triangle Area = 1/2 x base x perpendicular height
Square Area = base x base
Rectangle Area = base x height
Parallelogram Area = base x perpendicular height
Trapezium Area = 1/2 x height x (top + bottom)
Circle Area = ? x r squared
Area (rhombus) bxh
Acute Triangle A triangle with 3 acute angles
Right Triangle A triangle that has a 90 degree angle (right angle)
Obtuse Triangle A triangle with one angle that is greater than 90 degrees.
Square Four equal sides and four right angles
Rhombus A parallelogram with four equal sides
Trapezoid(US)/Trapezium(UK) A quadrilateral with exactly one pair of parallel sides
Pentagon 5 sided polygon
Octagon 8-sided polygon
Nonagon 9 sided polygon
Decagon 10 sided polygon
Heptagon 7 sided polygon
Hexagon 6 sided polygon

### perimeters and areas of 2D shapes

Term Definition
Rectangle Area = lw
Perimeter = 2l + 2w
Square Area = 4s
Perimeter = s^2
Parallelogram Area = bh
Perimeter = 2(b + a)
Rhombus Area = bh
Perimeter = 4b
Triangle Area = (1/2)bh
Perimeter = a + b + c
Kite Area = (1/2)d1d2
Perimeter = a + b + c + d
Trapezoid Area = (1/2)h(b1 + b2)
Perimeter = 2a + b1 + b2
Circumference of circle c=?•d
Area of square a=s^2
Area of rectangle A=l•w
Area of triangle A=l•w/2
Area of parallelogram/rhombus A=b•h
Area of trapezoid A=(b1+b2)/h
Area of circle A=?r^2
Perimeter of square P=s•4
Perimeter of rectangle P=l+w+l+w