Properties Objective: Identify properties of addition and multiplication and use these properties to solve problems.

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 10

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b 20

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 6

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b)

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) 20

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6)

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6) 12

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6) The number of fat Calories in a food item can be calculated by multiplying the number of fat grams by 9. a. Write an expression for the relationship between fat grams and Calories.

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6) The number of fat Calories in a food item can be calculated by multiplying the number of fat grams by 9. a. Write an expression for the relationship between fat grams and Calories. c = 9g

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6) The number of fat Calories in a food item can be calculated by multiplying the number of fat grams by 9. a. Write an expression for the relationship between fat grams and Calories b. Find the number of fat Calories in a bag of pretzels with 6 grams of fat.

5-Minute Check (lesson 1-3) Evaluate each expression if a = 4, b = 2, and c = 3. a + bc 4a + b*b ac/b 7a – (2c + b) (15ac)/(3c +6) The number of fat Calories in a food item can be calculated by multiplying the number of fat grams by 9. a. Write an expression for the relationship between fat grams and Calories b. Find the number of fat Calories in a bag of pretzels with 6 grams of fat. 54

Review of words and their meanings + - x ¸ plus sum more than increased by total in all minus difference less than subtract decreased by times product multiplied each of divided quotient

Commutative Properties of Addition and Multiplication Properties of Math Commutative Properties of Addition and Multiplication For any numbers a and b, a + b = b + a The order in which numbers are added does not change the sum. 9 + 2 = 2 + 9 a * b = b * a The order in which numbers are multiplied does not change the product. 6 * 5 = 5 * 6

Associative Properties of Addition and Multiplication Properties of Math Associative Properties of Addition and Multiplication For any numbers a, b, and c, (a + b) + c = a + (b + c) The way in which addends are grouped does not change the sum. (5 + 3) + 1 = 5 + (3 + 1) For any numbers a, b and c, (a * b) * c = a * (b * c) The way in which numbers are grouped does not change the product. (2 * 6) * 7 = 2 * (6 * 7)

Identity Properties of Addition and Multiplication Properties of Math Identity Properties of Addition and Multiplication For any numbers a, a + 0 = a The sum of an addend and zero is the addend. 6 + 0 = 6 a * 1 = a The way in which numbers are grouped does not change the product. 6 * 1 = 6

Properties of Math Multiplicative Properties of Zero For any number a, The product of a factor and zero is zero. 11 * 0 = 0