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CFU Students, you already know how to multiply and divide whole numbers.

Learning Objective Name _______________________ Today, we will multiply and divide integers. CFU What are we going to do today? Activate (or provide) Prior Knowledge.

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CFU Students, you already know how to multiply and divide whole numbers.

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  1. Learning Objective Name _______________________ Today, we will multiply and divide integers. CFU What are we going to do today? Activate (or provide) Prior Knowledge Find the product or quotient below. • The product is the answer to a multiplication problem. • The quotient is the answer to a division problem. 20 2. 6 × 2 = 1. 4 × 5 = 12 6 4. 12 ÷ 2 = 3. 20 ÷ 5 = 4 CFU Students, you already know how to multiply and divide whole numbers. Today, we are going to multiply and divide integers.

  2. Concept Development An integer is a positive whole number or negative whole number. Positive Integer NegativeInteger • Positive integerscan be shown with a (+) sign or with no sign at all. •Negativeintegersmust be shown with a (-) sign. +3 and 3 -3 The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign The product or quotient will be positive. (+Pos)× (+Pos) =+Pos 6 ÷3= 2 (-Neg)× (-Neg) =+Pos -2×-3= 6 (-Neg)÷ (-Neg) =+Pos -6÷-3= 2 (+Pos)÷ (+Pos) =+Pos 2 ×3= 6 Different Sign The product or quotient will be negative. (+Pos)× (-Neg) =-Neg -2×3=-6 (-Neg)× (+Pos) =-Neg 2 ×-3=-6 (+Pos)÷ (-Neg) =-Neg 6 ÷-3=-2 (-Neg)÷ (+Pos) =-Neg -6÷6=-2 CFU On your whiteboards, write a positive integer. How do you know it is a positive integer? On your whiteboards, write a negative integer. How do you know it is a negative integer? Will the product of -2× -4be negativeor positive? How do you know? Will the product of 21÷ -7be negativeor positive? How do you know?

  3. Skill Development/Guided Practice The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign Multiply and divide integers. The product or quotient will be positive. The product or quotient will be negative. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 1. 4 × 6 = 2. 5 × 3 = 3. 18 ÷ 6 = 4. 32 ÷ 8 = + + + + + + + + + + + + + + + + Signs: ÷ = Signs: ÷ = Signs: × = Signs: × = 24 15 3 4 Product: ____ Product: ____ Quotient: ____ Quotient: ____ 7. 54 ÷-6 = 8. 30 ÷-5 = 5. 5 × -7 = 6. 4 × -3 = + - - - + - - - + - - - + - - - Signs: ÷ = Signs: ÷ = Signs: × = Signs: × = -35 35 -12 12 -9 9 -6 6 Product : ____ Product : ____ Quotient: ____ Quotient: ____ CFU (#1a) How did I/you determine the sign of the product or quotient? (#3) How did I/you write the product or quotient with the correct sign?

  4. Skill Development/Guided Practice (continued) The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign Multiply and divide integers. The product or quotient will be positive. The product or quotient will be negative. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 9. -3 × 6 = 10. -5 × 8 = 11. -48 ÷ 6 = 12. -42 ÷ 7 = - + - - - + - - - + - - - + - - Signs: ÷ = Signs: ÷ = Signs: × = Signs: × = 6 -6 40 -40 -18 -8 8 18 Product: ____ Product: ____ Quotient: ____ Quotient: ____ 15. -81 ÷-9 = 16. -60 ÷-10 = 13. -9 × -5 = 14. -6 × -1 = - - + + - - + + - - + + - - + + Signs: ÷ = Signs: ÷ = Signs: × = Signs: × = 9 6 6 45 Product: ____ Product: ____ Quotient: ____ Quotient: ____ CFU (#1a) How did I/you determine the sign of the product or quotient? (#3) How did I/you write the product or quotient with the correct sign?

  5. Relevance The multiplication and division integer rules are determined by the signs of the integers used. 1. Multiplying and dividing with integers will help you solve equations. -4x = 20 20 ÷ -4 = -5 -4 -4 = -5 x 2. Multiplying and dividing with integers will help you do well on tests. CFU Does anyone else have another reason why it is relevant tomultiply and divide with integers? (pair-share) Why is it relevant to multiply and divide with integers? You may give me one of my reasons or your own. Which reason is more relevant to you? Why?

  6. Signs: × = The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign Skill Closure The product or quotient will be positive. The product or quotient will be negative. Multiply and divide integers. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 2. -7 × -4 = 1. 16 ÷-2 = - - - - - + + + Signs: ÷ = 28 8 -8 Product: ____ Quotient: ____ Constructed Response Closure Dean is multiplying integers and concludes that a negative integer times another negative integer is always negative. Explain why Dean is incorrect and give an example proving he is incorrect. __________________________________________________________________________ Summary Closure What did you learn today about multiplying and dividing integers? Day 1 _________________________________________________________________________________________________ _______________________________________________________________________________________________________ Day 2 _________________________________________________________________________________________________ _______________________________________________________________________________________________________

  7. Name ___________________________ Signs: × = Signs: × = Signs: × = Signs: × = Independent Practice The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign The product or quotient will be positive. The product or quotient will be negative. Multiply and divide integers. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 2. 36 ÷ 4 = 4. 18 ÷-6 = 1. 7 × 2 = 3. 2 × -5 = + + + + + + + + + - - - + - - - Signs: ÷ = Signs: ÷ = 14 9 -10 10 -3 3 Product : ____ Quotient: ____ Product: ____ Quotient: ____ 6. -21 ÷ 3 = 8. -63 ÷-7 = 5. -8 × 5 = 7. -5 × -6 = - + - - - + - - - - + + - - + + Signs: ÷ = Signs: ÷ = -40 40 -7 7 30 9 Product : ____ Quotient: ____ Product : ____ Quotient: ____

  8. Name ___________________________ Signs: × = Signs: × = Signs: × = Signs: × = Periodic Review 1 The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign The product or quotient will be positive. The product or quotient will be negative. Multiply and divide integers. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 1. -18 ÷-9 = 4. -8 ÷ 2 = 2. -7 × 6 = 3. 9 × -6 = - - + + - + - - + - - - - + - - Signs: ÷ = Signs: ÷ = 4 2 -42 42 -54 54 -4 Quotient: ____ Product: ____ Product: ____ Quotient: ____ 6. 20 ÷-4 = 8. 9 ÷-3 = 5. -4 × 10 = 7. -3 × -9 = - + - - + - - - - - + + + - - - Signs: ÷ = Signs: ÷ = -40 40 -5 5 27 -3 3 Product: ____ Quotient: ____ Product: ____ Quotient: ____

  9. Name ___________________________ Signs: × = Signs: × = Signs: × = Signs: × = Periodic Review 2 The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign The product or quotient will be positive. The product or quotient will be negative. Multiply and divide integers. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 1. -72 ÷ 9 = 2. -28 ÷-7 = 4. 5 × -7 = 3. 7 ÷-1 = - + - - - - + + + - - - + - - - Signs: ÷ = Signs: ÷ = Signs: ÷ = -8 8 4 -7 7 -35 35 Quotient: ____ Quotient: ____ Quotient : ____ Product: ____ 6. -50 ÷-10 = 5. -6 × 6 = 7. -7 × -9 = 8. 7 × -8 = - - - - - - - - + + + + - - + + Signs: ÷ = -36 36 5 63 -56 56 Product: ____ Quotient: ____ Product: ____ Product: ____

  10. Name ___________________________ Signs: ÷ = Signs: × = Signs: × = Signs: × = Periodic Review 3 The multiplication and division integer rules are determined by the signs of the integers used. Multiplication and Division Integer Rules Same Sign Different Sign The product or quotient will be positive. The product or quotient will be negative. Multiply and divide integers. (+Pos)× (-Neg) =-Neg (+Pos)× (+Pos) =+Pos (+Pos)÷ (-Neg) =-Neg (+Pos)÷ (+Pos) =+Pos (-Neg)× (+Pos) =-Neg (-Neg)× (-Neg) =+Pos (-Neg)÷ (+Pos) =-Neg (-Neg)÷ (-Neg) =+Pos 4. 25 ÷-5 = 2. 32 ÷-4 = 1. -4 × 1 = 3. -5 × -12 = - + - - + - - - - - + + + - - - Signs: ÷ = 5 -5 -4 8 -8 4 60 Product: ____ Quotient: ____ Product: ____ Quotient: ____ 6. -24 ÷ 4 = 7. -36 ÷ 4 = 8. -10 ÷-10 = 5. 2 × -6 = - - - - - - - + - + - - + - + + Signs: ÷ = Signs: ÷ = Signs: ÷ = -12 12 -6 6 -9 9 1 Product: ____ Quotient: ____ Quotient: ____ Quotient: ____

  11. EDI – Cognitive, Teaching and English Learners Strategies

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