Course ...
Course: Found. Of Advanced Algebra Unit of Study: Unit IV: Polynomial Operations
Beginning Date: 10/22/12 Ending Date: 10/26/12
State competency goal and objective: 1.03 (A2)* -Operate with algebraic expressions (polynomial, rational, complex fractions) to solve problems.
* (A2) 2003 North Carolina Standard Course of Study – Algebra II
| | | |Teacher Input | | |
| | | |(2. Presentation) | | |
| | |Activating Strategy/ Emotional | | | |
|Date |Essential |Hook |Student Active Participation |Summarizing Activity |Closure |
| |Question (s): |(1. Start the lesson) |(3. Guided practice) |(5. Evaluation) | |
| | | |__________________________ | |________________________ |
| | | |Additional Student Activities | | |
| | | |(4. Independent practice) | |Homework |
| | |Warm- ups: |Instruction: | | |
| | | |Adding and Subtracting polynomials | | |
|10/22/12 | |Alg. 1 Prerequisite to chapter 8 |Guided Practice: |Check student work |Answer the big question |
| | | |Adding and Subtracting polynomials (PowerPoint) | | |
| |How do I add and subtract | |Add/ Sub Polynomials Guided Notes | | |
| |polynomials? | |Independent Practice: | |none |
| | | |8-4 Algebra 2 Practice skills workbook. (Even or odd side. | | |
| | | |Student choice) | | |
| | | | | | |
| | | | | | |
| |1.03 (A2) | | | | |
| | |Warm- ups: |Instruction: | | |
| | |Warm-ups on separate sheet |Multiplying Monomials | |ATAK: Activity 5-3 |
|10/23/12 | | |Multiplying Polynomials by a Monomial | | |
| |How do I multiply monomials? | |Guided Practice: |Exponents puzzle | |
| |Binomials? | |Exponents Graphic Organizer student | | |
| |Polynomials? | |Independent Practice: | | |
| | | |ATAK: Activities 5-4, 5-8 | | |
| | | | | | |
| |1.03 (A2) | | | | |
| | |Warm- ups: |Instruction: |T.O.D. | |
| | |Warm-ups on separate sheet |Multiplying Binomials |Mingle time from the PowerPoint: Come up | |
|10/24/12 |How do I multiply monomials? | |Multiplying Two Polynomials |with 3 of your own original problems on |Answer the big question |
| |Binomials? | | |your paper in the space provided. | |
| |Polynomials? | |Guided Practice: | | |
| | | |Multiplying Polynomials Power Point | |ATAK: Activities 5-9, 5-10 |
| | | |Multiplying Polynomials | |(if unfinished) |
| | | | | | |
| | | |Independent Practice: | | |
| |1.03 (A2) | |Quiz 1: Adding & Subtracting Polynomials | | |
| | | |ATAK: Activities 5-9, 5-10 | | |
| | |Warm- ups: |Instruction: |. | |
| |How do I divide monomials and |Warm-ups on separate sheet |Finding Powers of Monomials | | |
|10/25/12 |simply expressions? | |Dividing Monomials | |ATAK: Activities |
| | | |Simplifying and Evaluating Expressions |Check student work |5-5, 5-6, 5-7 |
| | | |Guided Practice: | |(if unfinished) |
| | | |Brainpop video: | | |
| | | | | | |
| |1.03 (A2) | |Multiplying and Dividing Monomials | | |
| | | | | | |
| | | |Independent Practice: | | |
| | | |ATAK: Activities 5-5, 5-6, 5-7 | | |
|10/26/12 | |Warm- ups: |Instruction: | | |
| |How do I factor monomials? |Warm-ups on separate sheet |Factoring: finding the GCF |Your Turns: | |
| | | |Find the missing factor |Example 5: GCF of a Set of Monomials |none |
| | | |Guided Practice: |Example 6: Use Factors | |
| | | |Factoring Chart | | |
| | | |Factoring 9-1 PowerPoint | | |
| |1.03 (A2) | |{Example 5: GCF of a Set of Monomials | | |
| | | |Example 6: Use Factors} | | |
| | | |Independent Practice: | | |
| | | |ATAK: Activities 6-2, 6-3 | | |
|Literacy enhancements/Key Vocabulary: |Polynomial, binomial, trinomial, constant, degree, coefficient, special product, difference of squares, box method, factoring, greatest common factor/ greatest monomial |
| |factor |
| | |
|Adaptations/Differentiation: | |
|Monday Warm- ups: Date:_____________ |
|Prerequisite Chapter 8 for lessons 1 and 2 in Algebra 1 textbook. |
|Tuesday Warm- ups: Date:______________ |
|Find (4x2 + 3x) + (7x2 – 5x – 6). A.) 11x4 – 2x2 – 6 B.) 11x2 – 8x – 6 C.) 9x – 6 D.) 11x2 – 2x – 6 |
| |
|Find the difference (-7x4y2 – 3x2y + 2xy2 – 5) – (4x4y2 – xy2 – 5). |
| A.) -11x4y2 - 3x2y + xy2 – 10 B.) -3x4y2 - 4xy2 + 2xy2 - 10 C.) -11x4y2 - 3x2y + 3xy2 D.) -11x4y2 - 3x2y + 3xy2 - 10 |
| |
|Find the polynomial that represents the measure of the perimeter of the triangle. |
| A.) 15xy2 B.)7x3y6 + 10x2 – 2y C.) 5xy2 + 10x D.)7xy2 + 10x – 2y |
| |
| |
|Anthony and Sanford each throw a football. The height of Anthony's throw can represented by the equation A = –10x2 + 15x + 22, where A is height and x is the time in seconds. The height of Sanford's throw can represented by the|
|equation S = –9x2 + 14x + 23. At time x, what is the combined height of the throws? |
|A.) 19x2 + 29x + 45 B.) x2 – x + 1 C.) –19x2 + 29x + 45 D.) –x2 + x – 1 |
|Suppose the perimeter of a triangle is given by P = 13x + 5y, and two of its sides have lengths of 2x + y and 8x + 4y. What is the length of the third side? |
|3x + y B.) 23x + 5y C.) 6x + 3y D.) 3x |
|Wednesday Warm- ups: Date:_____________ |
|Simplify (3a4b5c)4. |
|Simplify (4x2y) (2xy2z3)3. |
|Find the volume of the rectangular solid shown to the right. |
|Simplify ((32)3)4 |
|Suppose that the base of a triangle is 3xy and its height is also 3xy. What is its area, expressed as a monomial? |
|Thursday Warm- ups: Date:_____________ |
|Find the product (2x + 3)(3x – 2). |
|Find the product (2x - 3)(2x2 + 5x - 1). |
|Write an expression for the area of the rectangle. |
|Find (3x + 4)(5x2 – 4x + 6). |
|Friday Warm- ups: Date:_____________ |
|Find (5t2 - 2w)2 |
|Which of the following is a difference of two squares? |
|A. x2 + 36 B. x2 + 6x + 9 C. x2 – 8x – 16 D. x2 – 9 |
|3. The length of one side of a square is x + 4. What is the area? |
|4. Simplify x3y0z-2 |
|5. Simplify ( -3x3y-2)3 |
|(9x-4y-3)2 |
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