Patty Hurst Shifter
https://pattyhurstshifter.com
Sat, 03 Feb 2018 22:11:07 +0000en-UShourly1https://wordpress.org/?v=4.8.6Add, Subtract, Multiply and Divide with Integers
https://pattyhurstshifter.com/add-subtract-multiply-and-divide-with-integers/
Sun, 07 Jan 2018 22:41:52 +0000http://thebooksummary.com/?p=4
Question
Answer
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
https://pattyhurstshifter.com/theorem-of-pythagoras/
Sun, 07 Jan 2018 21:53:40 +0000http://thebooksummary.com/?p=4
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
https://pattyhurstshifter.com/geometry-of-straight-lines/
Sun, 07 Jan 2018 21:03:53 +0000http://thebooksummary.com/?p=4
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
/
Straight lines with negative 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
https://pattyhurstshifter.com/multiplication-and-division-vocabulary/
Sun, 07 Jan 2018 20:14:33 +0000http://thebooksummary.com/?p=4
Question
Answer
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
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Sun, 07 Jan 2018 19:26:15 +0000http://thebooksummary.com/?p=4
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
]]>Nonperfect Squares
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Sun, 07 Jan 2018 18:36:21 +0000http://thebooksummary.com/?p=4
Question
Answer
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
https://pattyhurstshifter.com/geometry-of-2d-shapes/
Sun, 07 Jan 2018 17:48:05 +0000http://thebooksummary.com/?p=4
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 circle
3.142 x radius x radius
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
https://pattyhurstshifter.com/perimeters-and-areas-of-2d-shapes/
Sun, 07 Jan 2018 16:59:14 +0000http://thebooksummary.com/?p=4
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
Perimeter of quadrilateral
s+s+s+s
Segment
Area of sector-area of triangle
Regular Polygon
?Pa
Sector
x/360??r?
Perimeter
Distance around a shape.
Area
Number of square units used to fill up a shape.
]]>