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