NES Math Study Set
Divisibility by 8
If the last three digits form a number divisible by 8, then the number itself is also divisible by 8. For example, 1,120 is divisible by 8 since 120 is divisible by 8.
Divisibility by 4
If the last two digits form a number divisible by 4, then the number is divisible by 4. For example, 316 is divisible by 4 since 16 is divisible by 4.
Divisibility by 10
If the number ends in 0, then it is divisible by 10. For example, 670 is divisible by 10 since its last digit is 0
Divisibility by 6
If the number is divisible by both 3 and 2, then it is also divisible by 6. For example, 168 is divisible by 6 since it is divisible by 2, and it is divisible by 3.
Divisibility by 3
If the sum of the digits is divisible by 3, then the number is also. For example, 177 is divisible by 3 since the sum of its digits is 15 (1 + 7 + 7 = 15), and 15 is divisible by 3.
Divisibility by 9
If the sum of the digits is divisible by 9, then the number itself is also divisible by 9. For example, 369 is divisible by 9 since the sum of its digits is 18 (3 + 6 + 9 = 18), and 18 is divisible by 9.
The first prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47
Converting a fraction to a percentage. For example 2/5
2/5 = .4 = 40%
Converting a decimal to a mixed number. For example 3.208.
3 + 208/1000
Converting a fraction to a decimal. For example 3/8
3 divided by 8 = 0.375
Converting a percentage to a fraction. For example 65/100
65/100= 65%
Composite Number
A number greater than one and not prime.
Identity Property
Adding zero to a number does not change it. 2 + 0 = 2
Divisibility by 2
If the last digit is even, then the number is divisible by 2. For example, 158 is divisible by 2 since its last digit is 8.
Converting a decimal to a fraction. For example .45 is...
45/100
Centimeters in a Meter
100 Centimeters
Meters in a Kilometer
1000 Meters
2.5x10⁻²=
.025
Fibonacci Sequence
0, 1, 1, 2, 3, 5, 8, 13, 21, 34 ... beginning with 0 and 1 so that each term beginning with the third term is the sum of the two preceding terms.
The Sequence of Squares
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121 OR 12, 22, 32, 42, 52, 62, 72, 82, 92, 102, 112
Finding Circumference
C = 2πr
Number Cubes
Cubes with numbers on each side, similar to dice.
Function
Defined as a relation that matches each element in a set to an element in a second set in such a way that no element in the first set is assigned to more than one element in the second set.
Tangrams
Dissection puzzle consisting of seven shapes which make a square and can be used to form many other specific shapes.
Factorization
Divide numbers in half until you can no longer divide then divide by other prime numbers .
Clockwise or Counter Clockwise Geometric Transformation in Coordinate Plane
Each quadrant is 90°
Exponentiation
Exponentiation is repeated multiplication. An exponent is often called a power. For example, the third power of 2 is 2³ = 2 × 2 × 2 = 8
Divisibility by 5
If the last digit is a 5 or a 0, then the number is divisible by 5. For example, 1995 is divisible by 5 since its last digit is 5.
Compass
Instrument used to draw circles or arcs.
Geoboards
Peg board with rubber bands, useful for modeling area and perimeter.
Protractor
Semicircular device that is evenly divided into 180° and is used to determine the measure of angles in geometric shapes.
Operators
Symbols such as +, -, × and / that represent operations such as addition, subtraction, multiplication, and division.
Grouping Symbols
Symbols such as parentheses ( ) and brackets [ ] that indicate the order in which we should interpret the operations and the relations in a mathematical expression.
Relations
Symbols that compare expressions. Common symbols are =, <, >, ≤, and ≥.
Constants
Symbols that represent fixed values. In the expression 3x + 7, the example is 3 and 7.
Variables
Symbols that stand for changing values. Most often we use letters of the alphabet . In the expression 3x + 7, the letter x is an example.
Distributive Property
The product of a number with a sum equals the sum of the products of the number with each term of the sum. 2 × (3 + 5) = (2 × 3) + (2 × 5)
Divisibility Tests
To find the prime factorization of a number, it is helpful to know a few tests for divisibility.
Pattern Blocks
Used to investigate and find relationships between fractions by making comparisons.
Line Graph
Used to provide clear visual representation of changes over time and to identify and analyze trends in data.
Associative Property
When adding three or more numbers, the sum is the same regardless of the way in which the numbers are grouped. 2 + (3 + 5) = (2 + 3) + 5
Commutative Property
When adding two numbers, the sum is the same regardless of the order in which the numbers are added. 2 + 3 = 3 + 2
Intergers
[...-1, 0, 1...]
Whole Numbers
[0, 2, 3...]
Natural Numbers
[1, 2, 3...]
Finding Diameter
d = 2r
