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Everyday Math. 5 th Grade: Unit One . Unit One Vocabulary. Rectangular array: an arrangement of objects in rows and columns. Each row has the same number of objects and each column has the same number of objects.

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everyday math

Everyday Math

5th Grade: Unit One

unit one vocabulary
Unit One Vocabulary
  • Rectangular array: an arrangement of objects in rows and columns. Each row has the same number of objects and each column has the same number of objects.
  • Factors – numbers that you multiply together to get a product
  • Factor pair – two numbers that you multiply together to get a product.
  • Product – the answer you get when you multiply factors together
  • Divisibility - A number is divisible by another number if it goes in evenly (no remainder)
  • Composite number – a number that has more than 2 factors
  • Prime number – a number that has exactly 2 factors (1 and itself)
  • Square number – a number that makes a square array (2x2, 4x4, 5x5, etc.)
  • Exponential notation - numbers written with exponents
  • Exponent - a small number written to the right and above the base number to show how many times the base number is multiplied by itself.
  • Square root – when you “unsquare” a square number. (example: The square root of 36 is 6 (6x6 =36))
  • Prime factorization - writing a number as a product of all prime numbers
divisibility tests
Divisibility tests
  • Divisible by 2
  • A number is divisible by 2 if the last digit (number in the one’s place ) is even or 0
  • (2, 4, 6, 8, 0)
  • 346 715Χ
  • Divisible by 5
  • A number is divisible by 5 if the last digit is 5 or 0
  • 450 735 569Χ
  • Divisible by 10
  • A number is divisible by 10 if the last digit is 0
  • 230  455Χ
divisibility tests continued
Divisibility tests continued…
  • Divisible by 3
  • Add up all the digits in the number. If the sum is divisible by 3, so is the whole number.
  • 246  451 Χ
  • (2+4+6=12) (4+5+1=10)
  • 12 is divisible by 3, so is 246 10 is not divisible by 3, neither is 451
  • Divisible by 4
  • Look at the last two digits of a number. If the number that the two digits form is divisible by 4, so is the whole number.
  • 2,232  7,311 Χ
  • 32 is divisible by 4, so is 2,232 11 is not divisible by 4, neither is 7,311
divisibility tests continued1
Divisibility tests continued …
  • Divisible by 6
  • A number is divisible by 6 only if it is both divisible by 2 and 3.
  •  741 Χ
  • Divisible by both 2 &3 Divisible by 3, but not 2
  • Divisible by 9
  • Add up all the digits in the number. If the sum is divisible by 9, so is the whole number.
  • 846 451 Χ
  • (8+4+6=18) (4+5+1=10)
  • 18 is divisible by 9, so is 846 10 is not divisible by 9, neither is 451
slide6

Prime numbers – numbers that only have two factors (one and itself.)

Composite numbers – numbers that have more than 2 factors

slide8

Finding all of the factors for a number:

Step 1: Always begin with the number one.

1 x 24 = 24

Step 2: move on to the number two.

2 x 12 = 24

Step 3: continue on until you start repeating

numbers.

(the next number to check after 4 is 5. 5 doesn’t go into 24 and

so you move on to 6. 6 has already been used so you know

you have found all of your factors.)

prime factorization writing a number as a product of all prime factors
Prime Factorization: writing a number as a product of all prime factors
  • Step 1: Divide number into a any factor pair.
  • Step 2: Circle any number that can't be broken
  • down any more (prime).
  • Step 3: Continue to break down numbers until
  • you are left with all prime numbers.
  • Step 4: Connect all prime numbers with
  • x symbols from least to greatest. 3 x 3 x 5
  • If possible, write your answer in exponential notation 3² x 5
  • Check: What is 3 x 3 x 5 (or 3² x 5) ?
sources
Sources:
  • -EverdyayMath Student reference book
  • -Some examples taken from: Mr.Wrinkle.net/unit1