Welcome to 5th Grade “Virtual Parent School”

Unit 1Order of Operations & Whole Numbers

Georgia Mathematics Standards of Excellence: Curriculum Map

Prime vs. Composite

• Prime Numbers- A Prime Number can be divided evenly only by 1, or itself. – Example: 5 can only be divided evenly by 1 or 5, so it is a prime

number.– Remember… Optimus Prime was the only one and no one

could break him down!

• Composite Numbers- A Composite Number can be divided evenly by numbers other than 1 or itself.– Example: 9 can be divided evenly by 1, 3 and 9, so 9 is a

composite number.

Factors• Factors- Factors are the numbers

you multiply together to get another number: they are the facts that make up the number!– Example: 3 and 4 are factors of 12,

because 3x4=12. – Also 2x6=12 so 2 and 6 are also

factors of 12, and 1x12=12 so 1 and 12 are factors of 12 as well.

So ALL the factors of 12 are 1,2,3,4,6 and 12

How to find FactorsUse the Rainbow Method

Factors of 24– 1x24– 2x12– 3x8 1 2 3 4 6 8 12 24– 4x6

The factors of 24 are 1,2,3,4,6,8,12, and 24

Multiples• Multiples- The result of

multiplying a number by an integer (not a fraction).– Examples: 12 is a multiple

of 3, because 3 × 4 = 12– 6 is also a multiple of 3,

because 3 × 2 = 6– But 5 is NOT a multiple of

3 The multiples of 3 are

3,6,9,12,15…..

Order of Operations Definitions• Parenthesis – operations inside ( ) must be done first.

• Exponents- The exponent of a number shows you how many times the number is to be used in a multiplication.– It is written as a small number to the right and above the base number.

• Example: 82 = 8 × 8 = 64

**Multiplication & Division is worked in the order of LEFT to RIGHT.**• Multiplication- The basic idea of multiplying is repeated addition.

– Example: 5 × 3 = 5 + 5 + 5 = 15

• Division- To divide is to split into equal parts or groups. It is "fair sharing".– Example: there are 12 chocolates, and 3 friends want to share them, how do

they divide the chocolates? • Answer: They should get 4 each.

– We use the ÷ symbol, or sometimes the / symbol to mean divide:• 12 / 3 = 4• 12 ÷ 3 = 4

**Addition & Subtraction is worked in the order of LEFT to RIGHT.**• Addition- To bring two or more numbers (or things) together to make a new total.

• Subtraction-Taking one number away from another.

Order of Operations Objective

• Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

Example: 5 + (8+2) x 72 = _____

How to Use Order of Operations- ONE step at a time

5 + (8+2) x 72 = _________

1. Parenthesis….add 8 + 2. 8 + 2 = 10 5 + (8+2) x 72 = 5 + (10) x 72 = ____

2. Exponents…multiply 7 x 7. 7 x 7 = 49. 72 = 49. 5 + (8+2) x 72 = 5 + (10) x 49 = ____

3. Multiply…multiply 10 x 49. 10 x 49 = 490. 5 + (8+2) x 72 = 5 + 490 = ____

4. Divide…there is nothing to divide. Move on to the next step.

5. Add…add 5 + 490. 5 + 490 = 495. 5 + (8+2) x 72 = 5 + 490 = 495

6. Subtract…there is nothing to subtract.

Answer: 5 + (8+2) x 72 = 495

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Patterns in Math • It is important to recognize that each place value

to the left of a number is a multiple of 10 of that place. – Example: 5 , 9 4 3 5 thousands 9 hundreds 4 tens 3 ones

1 x 3 = 310 x 4 = 40100 x 9 = 9001000 x 5 = 5,000

Multiplying with Zeros

• When multiplying by a base ten number ( a number that ends in zero), it is only necessary to multiply the numbers before the zero. Then attach the same number of zeros.

– Example: 600 Multiply: 6 Attach: 2 zeros…. x 4 x 4 2400 24 00 = 2400

OR…

Divisibility Rules

Explanation of Divisibility Rules

Math Games to Play at HomePrime Number Hunter• Create a chart with the numbers 1 to 50 on it. Each child playing takes a turn. The goal is to

circle all the prime numbers and cross out the nonprimes. Each child who circles a prime number gets 3 points. Each child who crosses out a nonprime gets a single point. The child with the most points when all the numbers are either circled or crossed out wins.

Exponent Concentration Gameplay• Lay all the cards face down in a random array. Students take turns turning over two cards,

one at a time. Students that turn over matching exponent pairs keep the cards and take an extra turn. They continue to take turns as long as they continue to turn over matching pairs. Players who don't turn over matching cards must replace the cards to their original position. The game is over when all the game cards have been taken, and the winner is the player with the most cards.

Exponent War• Play exponent war with a standard deck of cards. • Two players play exponent war with a standard deck of cards with. Deal the cards so that

each player has an equal number of cards. The first player turns over two cards, one at a time. The second number acts as an exponent to the first number. The next player does also turns over two cards. The player with the highest number wins the round and takes all the cards. The game ends when one player is out of cards. That player with all the cards wins.