Special Products Tutorial

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Transcript of Special Products Tutorial

SECOND QUARTER’s PERFORMANCE TASK:SPECIAL PRODUCTSICL: 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

REFLECTIONGroup Name Equation

Second Quarter Grade 8 Mathematics Performance Task Special Products 67

1 2

3 4

Albert Miguel BrondiaIt 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 23 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 23 4

Ihryl FaustinoIn 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 23 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 23 4