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Special Products Tutorial

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USTJHS_BERTHA_Group_E

This document outlines a group mathematics project on special products. It includes examples of easy, average, and challenging questions for squaring binomials and trinomials, finding the product of the sum and difference of two terms, and cubing binomials. Students in the group of Albert Miguel Brondia, Jarsen Magpantay, Ihryl Faustino, and Diego Luna provided sample questions and solutions for each type of special product.

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SECOND QUARTER’s PERFORMANCE TASK: SPECIAL PRODUCTS ICL: Showcase of Solution and Final Answer
Group Name: Equation Second Quarter Grade 8 Mathematics Performance Task Special Products 2 Albert Miguel Brondia Jarsen Magpantay Ihryl Faustino Diego Luna
Albert Miguel Brondia Second Quarter Grade 8 Mathematics Performance Task Special Products 3 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
Name: SQUARE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 4 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 5 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 6 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 7 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 8 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 9 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 10 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 11 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 12 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 13 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 14 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 15 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: CUBE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 16 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 17 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 18 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
Jarsen Magpantay Second Quarter Grade 8 Mathematics Performance Task Special Products 19 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
Name: SQUARE OF A BINOMIAL ○ EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 20 (b+c)^2 = (b)^2 + 2(b)(c) + (c)^2 = b^2 + 2bc + c^2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A BINOMIAL ○ AVERAGE QUESTION: 21 (5g + x^3)^2 = (5g)^2 + 2(5g)(x^3) + (x^3)^2 = 25g^2 + 10gx^3 + x^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A BINOMIAL ○ CHALLENGING QUESTION: 22 (0.5j + 2.2)^2 = (0.5j)^2 + 2(0.5j)(2.2) + (2.2)^2 = 0.25j^2 + 2.2j + 4.84 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ○ EASY QUESTION: 23 (e + f)(e - f) = (e)^2 - (f)^2 = e^2 - f^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ○ AVERAGE QUESTION: 24 (b^6 - p^3)(b^6 + p^3) = (b^6)^2 - (p^3)^2 = b^12 - p^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ○ CHALLENGING QUESTION: 25 [7 + (b + c)][7 - (b + c)] = (7)^2 - (b + c)^2 = 49 - (b^2 + c^2) Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ○ EASY QUESTION: 26 (2b + 7v^3 + 7)^2 = (2b)^2 + (7v^3)^2 + (7)^2 + 2(2b)(7v^3) + 2(2b)(7) + 2(7v^3)(7) = 4b^2 + 49v^6 + 49 + 28bv^3 + 28b + 98v^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ○ AVERAGE QUESTION: 27 (9.2b^3 + 7.2 - 0.5b^2)^2 = (9.2b^3)^2 + (7.2)^2 - (0.5b^2)^2 + 2(9.2b^3)(7.2) - 2(9.2b^3)(0.5b^2) - 2(7.2)(0.5b^2) = 84.64b^6 + 51.84 + 0.25b^4 + 132.48b^3 - 9.2b^5 - 7.2b^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ○ CHALLENGING QUESTION: 28 (1/4a + 6/14b^2 +4/5c^6)^2 = (¼a)^2 + (6/14b^2)^2 + (4/5c^6)^2 + 2(1/4a)(6/14b^2) + 2(1/4a)(4/5c^6) + 2(6/14b^2)(4/5c^6) = 1/8a^2 + 9/49b^4 + 16/25c^12 + 3/14ab^2 + 2/5ac^6 + 24/35b^2c^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ EASY QUESTION: 29 (b + v)(b^2 - bv + v^2) = (b^3) + (v^3) = b^3 + v^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ AVERAGE QUESTION: 30 (2p^3 + 7m)(4p^6 - 14p^3m + 49m^2) = (2p^3)^3 + (7m)^3 = 8p^9 + 343m^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ CHALLENGING QUESTION: 31 (1/4m - 3/5p)(1/8m^2 + 3/20mp + 9/25p^2) = (1/4m)^3 - (3/5p)^3 = 1/32m^3 - 9/125p^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ○ EASY QUESTION: 32 (b + d)^3 = (b)^3 + 3(b)^2(d) + 3(b)(d)^2 + (d)^3 = b^3 + 3b^2d + 3bd^2 + d^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ○ AVERAGE QUESTION: 33 (6 - 3z)^3 = (6)^3 + 3(6)^2(-3z) + 3(6)(-3z)^2 + (-3z)^2 = 216 - 324z + 162z^2 + 9z^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ○ CHALLENGING QUESTION: 34 (1/4b^3 + 3/5n^8)^3 = (1/4b^3)^3 + 3(1/4b^3)^3(3/5n^8) + 3(1/4b^3)(3/5n^8)^3 + (3/5n^8)^3 = 1/64b^9 + 3/64b^9n^8 + 27/500b^3n^24 + 9/125n^24 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Ihryl Faustino Second Quarter Grade 8 Mathematics Performance Task Special Products 35 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
∗ EASY QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 36 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ AVERAGE QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 37 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ CHALLENGING QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 38 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ EASY QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 39 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ AVERAGE QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 40 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ CHALLENGING QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 41 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ EASY QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 42 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ AVERAGE QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 43 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ CHALLENGING QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 44 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ EASY QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 45 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ AVERAGE QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 46 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ CHALLENGING QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 47 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ EASY QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 48 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ AVERAGE QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 49 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
∗ CHALLENGING QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 50 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Diego Luna Second Quarter Grade 8 Mathematics Performance Task Special Products 51 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
Name: SQUARE OF A BINOMIAL ● EASY QUESTION: 1. (f+g)^2 = (f)^2+2(f)(g)+(g)^2 = f^2+2fg+g^2 Second Quarter Grade 8 Mathematics Performance Task Special Products 52 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: 2. (3x + 5y^2)^2 = (3x)^2+2(3x)(5y^2)+(5y^2)^2 = 9x^2+30xy^2+25y^4 Second Quarter Grade 8 Mathematics Performance Task Special Products 53 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 54 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 55 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 56 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 57 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 58 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 59 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 60 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 61 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 62 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 63 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 64 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 65 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 66 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
REFLECTION Group Name Equation Second Quarter Grade 8 Mathematics Performance Task Special Products 67 1 2 3 4
Albert Miguel Brondia It is really difficult to create your own question. You can't just put numbers randomly, thus you must think critically to make your questions more valid and easy to understand. Fortunately, I've successfully completed all the questions that are needed. I realize that I need to focus on an object to successfully accomplish it. Second Quarter Grade 8 Mathematics Performance Task Special Products 68 1 2 3 4
Jarsen Magpantay In this ICL Activity I learned how to create and solve my own equations about special products properly and provide the correct answer. Second Quarter Grade 8 Mathematics Performance Task Special Products 69 1 2 3 4
Ihryl Faustino In this performance task my groupmates and i learned how to use special products properly. Squaring the first terms, twice the product of the two terms, and squaring the last term that is an example of a way of getting the sum in the special products. We slighly came up shortly because we cannot communicate due to some problems like no signals at internet connection at all. But we find some ways to accomplish our task and submitting our requirements. Second Quarter Grade 8 Mathematics Performance Task Special Products 70 1 2 3 4
Diego Luna Special Products, for me it is very hard to explain and to recognize them for it has many uses and ways to solve. But towards this activity, making 15 questions, has become easy because of Sir. Caparas givivg many examples and activity related to our topic. Second Quarter Grade 8 Mathematics Performance Task Special Products 71 1 2 3 4

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Special Products Tutorial

  • 1. SECOND QUARTER’s PERFORMANCE TASK: SPECIAL PRODUCTS ICL: Showcase of Solution and Final Answer
  • 2. Group Name: Equation Second Quarter Grade 8 Mathematics Performance Task Special Products 2 Albert Miguel Brondia Jarsen Magpantay Ihryl Faustino Diego Luna
  • 3. Albert Miguel Brondia Second Quarter Grade 8 Mathematics Performance Task Special Products 3 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 4. Name: SQUARE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 4 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 5. Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 5 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 6. Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 6 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 7. Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 7 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 8. Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 8 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 9. Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 9 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 10. Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 10 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 11. Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 11 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 12. Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 12 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 13. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 13 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 14. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 14 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 15. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 15 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 16. Name: CUBE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 16 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 17. Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 17 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 18. Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 18 E A C Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial
  • 19. Jarsen Magpantay Second Quarter Grade 8 Mathematics Performance Task Special Products 19 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 20. Name: SQUARE OF A BINOMIAL ○ EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 20 (b+c)^2 = (b)^2 + 2(b)(c) + (c)^2 = b^2 + 2bc + c^2 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 21. Name: SQUARE OF A BINOMIAL ○ AVERAGE QUESTION: 21 (5g + x^3)^2 = (5g)^2 + 2(5g)(x^3) + (x^3)^2 = 25g^2 + 10gx^3 + x^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 22. Name: SQUARE OF A BINOMIAL ○ CHALLENGING QUESTION: 22 (0.5j + 2.2)^2 = (0.5j)^2 + 2(0.5j)(2.2) + (2.2)^2 = 0.25j^2 + 2.2j + 4.84 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 23. Name: Product of Sum and Difference of Two Terms ○ EASY QUESTION: 23 (e + f)(e - f) = (e)^2 - (f)^2 = e^2 - f^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 24. Name: Product of Sum and Difference of Two Terms ○ AVERAGE QUESTION: 24 (b^6 - p^3)(b^6 + p^3) = (b^6)^2 - (p^3)^2 = b^12 - p^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 25. Name: Product of Sum and Difference of Two Terms ○ CHALLENGING QUESTION: 25 [7 + (b + c)][7 - (b + c)] = (7)^2 - (b + c)^2 = 49 - (b^2 + c^2) Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 26. Name: SQUARE OF A TRINOMIAL ○ EASY QUESTION: 26 (2b + 7v^3 + 7)^2 = (2b)^2 + (7v^3)^2 + (7)^2 + 2(2b)(7v^3) + 2(2b)(7) + 2(7v^3)(7) = 4b^2 + 49v^6 + 49 + 28bv^3 + 28b + 98v^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 27. Name: SQUARE OF A TRINOMIAL ○ AVERAGE QUESTION: 27 (9.2b^3 + 7.2 - 0.5b^2)^2 = (9.2b^3)^2 + (7.2)^2 - (0.5b^2)^2 + 2(9.2b^3)(7.2) - 2(9.2b^3)(0.5b^2) - 2(7.2)(0.5b^2) = 84.64b^6 + 51.84 + 0.25b^4 + 132.48b^3 - 9.2b^5 - 7.2b^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 28. Name: SQUARE OF A TRINOMIAL ○ CHALLENGING QUESTION: 28 (1/4a + 6/14b^2 +4/5c^6)^2 = (¼a)^2 + (6/14b^2)^2 + (4/5c^6)^2 + 2(1/4a)(6/14b^2) + 2(1/4a)(4/5c^6) + 2(6/14b^2)(4/5c^6) = 1/8a^2 + 9/49b^4 + 16/25c^12 + 3/14ab^2 + 2/5ac^6 + 24/35b^2c^6 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 29. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ EASY QUESTION: 29 (b + v)(b^2 - bv + v^2) = (b^3) + (v^3) = b^3 + v^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 30. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ AVERAGE QUESTION: 30 (2p^3 + 7m)(4p^6 - 14p^3m + 49m^2) = (2p^3)^3 + (7m)^3 = 8p^9 + 343m^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 31. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ○ CHALLENGING QUESTION: 31 (1/4m - 3/5p)(1/8m^2 + 3/20mp + 9/25p^2) = (1/4m)^3 - (3/5p)^3 = 1/32m^3 - 9/125p^3 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 32. Name: CUBE OF A BINOMIAL ○ EASY QUESTION: 32 (b + d)^3 = (b)^3 + 3(b)^2(d) + 3(b)(d)^2 + (d)^3 = b^3 + 3b^2d + 3bd^2 + d^3 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 33. Name: CUBE OF A BINOMIAL ○ AVERAGE QUESTION: 33 (6 - 3z)^3 = (6)^3 + 3(6)^2(-3z) + 3(6)(-3z)^2 + (-3z)^2 = 216 - 324z + 162z^2 + 9z^2 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 34. Name: CUBE OF A BINOMIAL ○ CHALLENGING QUESTION: 34 (1/4b^3 + 3/5n^8)^3 = (1/4b^3)^3 + 3(1/4b^3)^3(3/5n^8) + 3(1/4b^3)(3/5n^8)^3 + (3/5n^8)^3 = 1/64b^9 + 3/64b^9n^8 + 27/500b^3n^24 + 9/125n^24 Second Quarter Grade 8 Mathematics Performance Task Special Products Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 35. Ihryl Faustino Second Quarter Grade 8 Mathematics Performance Task Special Products 35 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 36. ∗ EASY QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 36 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 37. ∗ AVERAGE QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 37 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 38. ∗ CHALLENGING QUESTION: Name: SQUARE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 38 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 39. ∗ EASY QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 39 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 40. ∗ AVERAGE QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 40 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 41. ∗ CHALLENGING QUESTION: Name: Product of Sum and Difference of Two Terms Second Quarter Grade 8 Mathematics Performance Task Special Products 41 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 42. ∗ EASY QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 42 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 43. ∗ AVERAGE QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 43 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 44. ∗ CHALLENGING QUESTION: Name: SQUARE OF A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 44 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 45. ∗ EASY QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 45 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 46. ∗ AVERAGE QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 46 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 47. ∗ CHALLENGING QUESTION: Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 47 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 48. ∗ EASY QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 48 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 49. ∗ AVERAGE QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 49 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 50. ∗ CHALLENGING QUESTION: Name: CUBE OF A BINOMIAL Second Quarter Grade 8 Mathematics Performance Task Special Products 50 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 51. Diego Luna Second Quarter Grade 8 Mathematics Performance Task Special Products 51 Insert Picture Here Square of a Binomial Product of SDTT Square of Trinomial Product of a Binomial & a Trinomial Cube of a Binomial
  • 52. Name: SQUARE OF A BINOMIAL ● EASY QUESTION: 1. (f+g)^2 = (f)^2+2(f)(g)+(g)^2 = f^2+2fg+g^2 Second Quarter Grade 8 Mathematics Performance Task Special Products 52 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 53. Name: SQUARE OF A BINOMIAL ● AVERAGE QUESTION: 2. (3x + 5y^2)^2 = (3x)^2+2(3x)(5y^2)+(5y^2)^2 = 9x^2+30xy^2+25y^4 Second Quarter Grade 8 Mathematics Performance Task Special Products 53 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 54. Name: SQUARE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 54 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 55. Name: Product of Sum and Difference of Two Terms ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 55 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 56. Name: Product of Sum and Difference of Two Terms ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 56 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 57. Name: Product of Sum and Difference of Two Terms ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 57 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 58. Name: SQUARE OF A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 58 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 59. Name: SQUARE OF A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 59 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 60. Name: SQUARE OF A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 60 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 61. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 61 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 62. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 62 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 63. Name: PRODUCT OF A BINOMIAL AND A TRINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 63 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 64. Name: CUBE OF A BINOMIAL ● EASY QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 64 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 65. Name: CUBE OF A BINOMIAL ● AVERAGE QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 65 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 66. Name: CUBE OF A BINOMIAL ● CHALLENGING QUESTION: Second Quarter Grade 8 Mathematics Performance Task Special Products 66 Square of a Binomial Square of a Trinomial Product of SDTT Product of a Binomial and a Trinomial Cube of a Binomial E A C
  • 67. REFLECTION Group Name Equation Second Quarter Grade 8 Mathematics Performance Task Special Products 67 1 2 3 4
  • 68. Albert Miguel Brondia It is really difficult to create your own question. You can't just put numbers randomly, thus you must think critically to make your questions more valid and easy to understand. Fortunately, I've successfully completed all the questions that are needed. I realize that I need to focus on an object to successfully accomplish it. Second Quarter Grade 8 Mathematics Performance Task Special Products 68 1 2 3 4
  • 69. Jarsen Magpantay In this ICL Activity I learned how to create and solve my own equations about special products properly and provide the correct answer. Second Quarter Grade 8 Mathematics Performance Task Special Products 69 1 2 3 4
  • 70. Ihryl Faustino In this performance task my groupmates and i learned how to use special products properly. Squaring the first terms, twice the product of the two terms, and squaring the last term that is an example of a way of getting the sum in the special products. We slighly came up shortly because we cannot communicate due to some problems like no signals at internet connection at all. But we find some ways to accomplish our task and submitting our requirements. Second Quarter Grade 8 Mathematics Performance Task Special Products 70 1 2 3 4
  • 71. Diego Luna Special Products, for me it is very hard to explain and to recognize them for it has many uses and ways to solve. But towards this activity, making 15 questions, has become easy because of Sir. Caparas givivg many examples and activity related to our topic. Second Quarter Grade 8 Mathematics Performance Task Special Products 71 1 2 3 4