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Understanding Polynomial Errors and Geometry in Area Calculations

This chapter focuses on reviewing polynomials and addressing common errors made by students. By analyzing the student's addition of polynomials that led to an incorrect result, we aim to identify and explain the mistakes made during the process. Additionally, we explore the geometric concepts through Zayne's creation of square and circular tabletops, calculating their respective areas to reinforce the understanding of area in two-dimensional figures. The chapter concludes with independent practice exercises and quizzes to solidify the skills of multiplying polynomials and understanding geometric areas.

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Understanding Polynomial Errors and Geometry in Area Calculations

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  1. Chapter 12 Review Polynomials: Review and Preview

  2. A student added 2x2 – 2 to 3x + 5 and got 5x2 + 7. Describe the student’s error(s). What is the correct answer?

  3. Independent Practice Check Textbook p. 707-709

  4. Benchmark Skills • Multiplying a Polynomial by a Monomial • Multiplying Binomials Quiz – Lessons 12.3 to 12.4

  5. Independent Practice Textbook p. 714-716

  6. Zayne had two squares of wood that were exactly the same size that he used to make two tabletops from. The first table kept it’s square shape, but Zayne cut the second one into a circle with a diameter equal to the length of the side of the square one. One side of the square table has a length of x + 3 feet in length. 2 Draw pictures of the tabletops. What is the area of the square table? What is the area of the circular table?

  7. Independent Practice Check Textbook p. 714-716

  8. Benchmark Skills • Multiplying a Polynomial by a Monomial • Multiplying Binomials Quiz Retake – Lessons 12.3 to 12.4

  9. Independent Practice Textbook p. 717

  10. 1. B 3. A 5. -6y3 + 6y2 – y + 6 7. 3s2 – 5s – 21 9. 7y2 + 2 11. -8z3 + 4z2 – 6 13. 10x + 20 15. 3m2 + 8m 17. 6p3 + 9p2 19. 4y2 – 36 21. 8k2 + 42k + 40 23. 3t2 – 6t – 72 25. 6x2 + 14x – 12 27. 24 ft Independent Practice CheckTextbook p. 717

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