Minds On Simplify: 𝒂𝟐𝒃+ 𝒂 −𝟏 𝒃 𝒂 −𝟐 𝒃𝟑 b) (𝒙𝟐)(𝒙𝟒) – 𝒙𝟑 Unit Two: Algebra Minds On Simplify: 𝒂𝟐𝒃+ 𝒂 −𝟏 𝒃 𝒂 −𝟐 𝒃𝟑 b) (𝒙𝟐)(𝒙𝟒) – 𝒙𝟑 𝒄) (𝟑𝒂𝟐 𝒃 −𝟏 )𝟑

Unit Two: Algebra Lesson 4: Distributive Property with Multiplication and Division by Monomials Learning Goals I can multiply a polynomial by a monomial using the distributive property.

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Example 1 - Expand and Simplify: (12cd3)(-3c2d)

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Example 2 - Expand and Simplify: 8w(2w2 – w + 6)

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Example 3 - Expand and Simplify: 2x2(4x + 1) + 3x(x-2)

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Example 4 - Expand and Simplify: 4a(2a + 3b) –b(3a – 5b)

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Example 5 - Expand and Simplify: −𝟐𝟎𝒙𝟒+𝟏𝟔𝒙𝟑−𝟖𝒙𝟐 𝟐𝒙𝟐

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Bonus Example 1! - Expand and Simplify: 2x2y3(-xy2 + 3x3y2 – x)

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Success Criteria: Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Bonus Example 2! - Expand and Simplify: 𝟐𝟏𝒘𝟑𝒙𝟐 −𝟏𝟒𝒘𝟐𝒙𝟐+𝟒𝟐𝒘𝒙 𝟕𝒘𝒙

Homework Read page 270 “key Ideas” (not factoring) Unit Two: Algebra Lesson 4: Distributive Property with Monomials Homework Read page 270 “key Ideas” (not factoring) Page 271 Q# 2 e-l, 3abcefg, 4abcd, 8abe, 9abcd, 10cdf Bonus: Page 272 Q# 8cdgh, 10j

Lesson 4: Distributive Property with Monomials Unit Two: Algebra Lesson 4: Distributive Property with Monomials Learning Goal: I can multiply a polynomial by a monomial using the distributive property. Success Criteria Expand the polynomial using the Distributive Property Multiply/divide the coefficient of each term in the polynomial by the coefficient of the monomial. Multiply/divide the variables of each term in the polynomial by the variables of the monomial (to multiply: add the exponents of like variables. To divide: subtract the exponents of like variables.) Identify like terms Combine like terms Homework Read page 270 “key Ideas” (not factoring) Page 271 Q# 2 e-l, 3abcefg, 4abcd, 8abe, 9abcd, 10cdf Bonus: Page 272 Q# 8cdgh, 10j