Math Skills & Concepts Review

Math Rules Review #1

Review the common rules used in Math!

Math has Rules that APPLY in EVERY situation!

• Let's look at some examples, using Variables and Numbers

• A + B = B + A : Commutative Property of Addition.

• No matter how you arrange A and B, if they are being added, they will EQUAL the same number

• Let's try numbers: 2 + 5 = 5 + 2

• 7 = 7 - Notice, that if its 2+5=2+5 or 5+2 =2+5, any order will still give you 7=7!

Multiple Choice

The Commutative Property of Addition says A + B = B + A

• True

• False

Multiple Choice

What is another way to write the problem: 3 + 5  = 3 + 5 - (Use the Commutative Property of Addition) 

• 3 + 5 = 3 * 5

• 3 + 5 = 3 / 5

• 3 + 5 = 3 - 5

•  3 + 5 = 5 + 3 

Math has Rules that APPLY in EVERY situation!

• Let's look at some examples, using Variables and Numbers

• A * B = A * B : Commutative Property of Multiplication.

• No matter how you arrange A and B, if they are being added, they will EQUAL the same number.

• Let's try numbers: 5 * 2 = 2 * 5

• 10 = 10, notice 5 *2, or 2 * 5, will all end in 10!

Multiple Choice

What is another way to write the problem: 3 * 5  = 3 * 5 - (Use the Commutative Property of Multiplication) 

• 3 + 5 = 3 * 5

• 3 + 5 = 3 - 5

• 3 + 5 = 5 + 3

•  3 * 5 = 5 * 3 

Math has Rules that APPLY in EVERY situation!

• Let's look at some examples, using Variables and Numbers

• (A + B) + C = A + ( B + C)

• The Grouping is done first, always. Therefore any combination of A,B,C will result in the same answer!

• Let's try numbers: (3 + 4) + 2 = 3 + (4 + 2)

• 9 = 9, notice 7 + 2, 3 + 6, or 5 +4, will all end in 9!

Multiple Choice

What is another way to write the problem: (2 + 3) + 5 = (2+3) + 5 (Use the Associative Property of Addition) 

• (2 - 3) + 5 = 2 + (3 + 5)
  

• (2 + 3) + 5 = 2 + (3 + 5)

• (2 - 3) + 5 = 2 + (3 * 5)
  

•  (2 * 3) + 5 = 2 + (3 + 5)

Math has Rules that APPLY in EVERY situation!

• Let's look at some examples, using Variables and Numbers

• (A * B) * C = A * ( B * C)

• The Grouping is done first, always. Therefore any combination of A,B,C will result in the same answer!

• Let's try numbers: (3 * 4) * 2 = 3 * (4 * 2)

• 24 = 24, notice 12 * 2, 3 * 8, or 6 * 4, will all end in 24!

Multiple Choice

What is another way to write the problem: (2 * 3) * 5 = (2 * 3) * 5 (Use the Associative Property of Multiplication) 

• (2 - 3) + 5 = 2 + (3 + 5)
  

• (2 * 3) * 5 = 2 * (3 * 5)

• (2 - 3) + 5 = 2 + (3 * 5)
  

•  (2 * 3) + 5 = 2 + (3 + 5)

Open Ended

Write two examples of each property.

Remember:

1. Commutative Property of Addition: a + b = b + a

2. Commutative Property of Multiplication: a × b = b × a

3. Associative Property of Addition: (a + b) + c = a + (b + c)

4. Associative Property of Multiplication: (a × b) × c = a × (b × c)