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Minds On Simplify:

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Presentation on theme: "Minds On Simplify: "β€” Presentation transcript:

1 Minds On Simplify: π’‚πŸπ’ƒ+ 𝒂 βˆ’πŸ 𝒃 𝒂 βˆ’πŸ π’ƒπŸ‘ b) (π’™πŸ)(π’™πŸ’) – π’™πŸ‘
Unit Two: Algebra Minds On Simplify: π’‚πŸπ’ƒ+ 𝒂 βˆ’πŸ 𝒃 𝒂 βˆ’πŸ π’ƒπŸ‘ b) (π’™πŸ)(π’™πŸ’) – π’™πŸ‘ 𝒄) (πŸ‘π’‚πŸ 𝒃 βˆ’πŸ )πŸ‘

2 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.

3 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

4 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)

5 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)

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)

7 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)

8 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: βˆ’πŸπŸŽπ’™πŸ’+πŸπŸ”π’™πŸ‘βˆ’πŸ–π’™πŸ πŸπ’™πŸ

9 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)

10 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: πŸπŸπ’˜πŸ‘π’™πŸ βˆ’πŸπŸ’π’˜πŸπ’™πŸ+πŸ’πŸπ’˜π’™ πŸ•π’˜π’™

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

12 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 β€œkey Ideas” (not factoring) Page 271 Q# 2 e-l, 3abcefg, 4abcd, 8abe, 9abcd, 10cdf Bonus: Page 272 Q# 8cdgh, 10j


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