Group Cycloid
Transcript of Group Cycloid
![Page 1: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/1.jpg)
SECOND QUARTER’s PERFORMANCE TASK:SPECIAL PRODUCTSICL: Showcase of Solution and Final Answer
![Page 2: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/2.jpg)
Group Name: CYCLOID
Second Quarter Grade 8 Mathematics Performance Task Special Products 2
Krystal Mizona
Dustine Villa
John Torres
![Page 3: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/3.jpg)
Krystal Mizona
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
![Page 4: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/4.jpg)
Name:SQUARE OF A BINOMIAL● EASY QUESTION:● (4 + b)
SOLUTION:(4)2 + 2(4 + b) + (b)2
ANSWER:16 + 8b + b2
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
4
![Page 5: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/5.jpg)
Name:SQUARE OF A BINOMIAL● AVERAGE QUESTION:● (13y + 32x)
SOLUTION:(13y)2 + 2(13y + 32x) + (32x)2
ANSWER:169y2 + 832yx + 1024x2
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
5
![Page 6: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/6.jpg)
Name:SQUARE OF A BINOMIAL● CHALLENGING QUESTION:(33y3 + 21k2)
SOLUTION:(33y3)2 + 2(33y3 + 21k2) + (21k2)2
ANSWER:1089y6 + 1386y3k2 + 441k4
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
6
![Page 7: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/7.jpg)
Name:Product of Sum and Difference of Two Terms
● EASY QUESTION:● (a - b) (a + b)
SOLUTION:(a)2 (-b)2
ANSWER:a2 - b2
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
7
![Page 8: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/8.jpg)
Name:Product of Sum and Difference of Two Terms
● AVERAGE QUESTION:(2.43 + a) (2.43 - a)
SOLUTION:(2.43)2 (-a)2
ANSWER:5.9049 - a^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 CSecond Quarter Grade 8 Mathematics Performance Task Special Products
8
![Page 9: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/9.jpg)
Name:Product of Sum and Difference of Two Terms
● CHALLENGING QUESTION:(½ y - 8u4) (½ y + 8u4)
SOLUTION:(½ y)2 + (8u4)2
ANSWER:¼ y2 - 64u8
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
9
![Page 10: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/10.jpg)
Name:SQUARE OF A TRINOMIAL● EASY QUESTION:(m + 4 + 9n)
SOLUTION:(m)2 + (4)2 + (9n)2 + 2(m)(4) + 2(m)(9n) + 2(4)(9n)
ANSWER:m2 + 16 + 81n2 + 8m + 18nm + 72n
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
10
![Page 11: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/11.jpg)
Name:SQUARE OF A TRINOMIAL● AVERAGE QUESTION:(4.6 + 5m + 39y)
SOLUTION:(4.6)2 + (5m)2 + (39y)2 + 2(4.6)(5m) + 2(4.6)(39y) + 2(5m)(39y)
ANSWER:21.16 + 25m2 + 1521y2 + 46m + 358.8y + 390my
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
11
![Page 12: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/12.jpg)
Name:SQUARE OF A TRINOMIAL● CHALLENGING QUESTION:(17t4 + 34a + 2.2x3)
SOLUTION:(17t4)2 + (34a)2 + (2.2x3)2 + 2(17t4)(34a) + 2(17t4)(2.2x3) + 2(34a)(2.2x3) ANSWER:289t8 + 1156a2 + 4.84x6 + 1156t4a + 74.8t4x3 + 149.6ax3
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
12
![Page 13: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/13.jpg)
Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● EASY QUESTION:(8 + m) (64 - 16m + m2)
SOLUTION:(8)3 (m)3
ANSWER:512 + m3
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
13
![Page 14: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/14.jpg)
Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● AVERAGE QUESTION:(12s + 5i2) (144s2 - 120si2 + 21i4)
SOLUTION:(12s)3 (5i2)3
ANSWER:1728s3 + 125i6
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
14
![Page 15: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/15.jpg)
Name:PRODUCT OF A BINOMIAL AND A TRINOMIAL
● CHALLENGING QUESTION:(42s2t + 33a4r) (1764s4t - 2772s2ta4r + 1089a8r)
SOLUTION:(42s2t)3 (33a4r)3
ANSWER:74088s6t + 35937a12r
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
15
![Page 16: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/16.jpg)
Name:CUBE OF A BINOMIAL● EASY QUESTION:(4 + b)3
SOLUTION:(4)3 + 3(4)2(b) + 3(4)(b)2 + (b)3
ANSWER:64 + 48b + 12b2 + b3
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
16
![Page 17: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/17.jpg)
Name:CUBE OF A BINOMIAL● AVERAGE QUESTION:(35y + 14b)3
SOLUTION:(35y)3 + 3(35y)2(14b) + 3(35y)(14b)2 + (14b)3
ANSWER:42875y3 + 51450y2b + 20580yb2 + 2744b3
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
17
![Page 18: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/18.jpg)
Name:CUBE OF A BINOMIALCHALLENGING QUESTION:(21y4 + 17r3)
SOLUTION:(21y4)3 + 3(21y4)2(17r3) + 3(21y4)(17r3)2 + (17y3)3
ANSWER:9261y12 + 22491y8r3 + 18207y4r6 + 4913y9
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products
18
![Page 19: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/19.jpg)
Dustine Villa
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
![Page 20: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/20.jpg)
Name: VILLA, DUSTINESQUARE OF A BINOMIAL○ EASY QUESTION:
Square the Binomial (4+5y4).
SOLUTION:(4)2 + 2(4)(5y4) + (5y4)2
FINAL ANSWER:16 + 40y4 + 25y8
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
20
![Page 21: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/21.jpg)
Name:VILLA, DUSTINESQUARE OF A BINOMIAL○ AVERAGE QUESTION: Square the Binomial (4x - 2.3y2).
SOLUTION: (4x)2 + 2(4x)(-2.3y2) + (-2.3y2)2
FINAL ANSWER: 16x2 - 18.4xy2 + 5.29y4
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
21
![Page 22: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/22.jpg)
Name:VILLA, DUSTINESQUARE OF A BINOMIAL○ CHALLENGING QUESTION: Square the Binomial (1/2c7y9 - 2.1x2n5)
SOLUTION:(1/2c7y9)2 + 2(1/2c7y9)(-2.1x2n5) + (2.1x2n5)2
FINAL ANSWER:0.25c14y18 - 2.1c7y9x2n5 + 4.41x4n10
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
22
![Page 23: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/23.jpg)
Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ EASY QUESTION: (5 - n) (5 + n)
SOLUTION:(5)2 -(n)2
FINAL ANSWER:25 - n2
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
23
![Page 24: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/24.jpg)
Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ AVERAGE QUESTION: (21d + x3y7)(21d - x3y7)
SOLUTION:(21d)2 -(x3y7)2
FINAL ANSWER:441d2 - x6y14
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
24
![Page 25: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/25.jpg)
Name:VILLA, DUSTINEProduct of Sum and Difference of Two Terms○ CHALLENGING QUESTION: [( 8 + a ) - 18] [( 8 +
a ) +18]
SOLUTION: (8)2 + 2(8)(a) + (-a)2 - (18)2
FINAL ANSWER: 64 + 16a + a2 - 324
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
25
![Page 26: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/26.jpg)
Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ EASY QUESTION: (m2 + 3n + 2)2
SOLUTION: (m2)2 + (3n)2 + (2)2 + 2(m2)(3n) + 2(m2)(2) + 2(3n)(2)
FINAL ANSWER:m4 + 3n4 + 4 + 6m2n + 4m2 + 12n
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
26
![Page 27: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/27.jpg)
Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ AVERAGE QUESTION: (0.3x4 + 2.1m3 - 1.2d5)2
SOLUTION:(0.3x4)2 + ( 2.1m3)2 + (-1.2d5)2 + 2(0.3x4)(2.1m3) + 2(0.3x4) (-1.2d5) + 2( 2.1m3)(-1.2d5)
FINAL ANSWER: 0.09x8 + 4.41m6 + 1.44d10 + 1.26x4m3 - 0.72x4d5 - 5.04m3d5
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
27
![Page 28: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/28.jpg)
Name:VILLA, DUSTINESQUARE OF A TRINOMIAL○ CHALLENGING QUESTION:Find the area of a square lot whose side measures (6d +7c2 - 21n) meters.
SOLUTION: S2 = (6d +7c2 - 21n) 2
(6d)2 + (7c2)2 + (-21n)2 + 2(6d)(7c2) + 2(6d)(-21n) + 2(7c2)(-21n)
FINAL ANSWER: 36d2 + 49c4 + 441n2 + 84dc2 - 252dn - 294c2n
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
28
![Page 29: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/29.jpg)
Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ EASY QUESTION: (2 + 4x) (4 - 8x +16x)
SOLUTION:(2)3 + (4x)3
FINAL ANSWER:8 + 64x3
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
29
![Page 30: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/30.jpg)
Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ AVERAGE QUESTION: (12r6d - 2m8b) (144r12d +
24r6dm8b+ 4m8b)
SOLUTION:(12r6d)3 + (-2m8b)3
FINAL ANSWER1,728r18d + 8m24b
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
30
![Page 31: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/31.jpg)
Name:VILLA, DUSTINEPRODUCT OF A BINOMIAL AND A TRINOMIAL○ CHALLENGING QUESTION: Find the area of a rectangular lot whose length and width measures (0.5d + 3.4m4n2)(0.25d2 - 1.7dm4n2 + 11.56m8n4)
SOLUTION:(0.5d)3 + (3.4m4n2)3
FINAL ANSWER:0.125d + 39.204m12n6 square meters.
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
31
![Page 32: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/32.jpg)
Name:VILLA, DUSTINECUBE OF A BINOMIAL○ EASY QUESTION: (a + b5)3
SOLUTION: (a)3 + 3(a)2(b5) + 3(a)(b5)2 + (b5)3
FINAL ANSWER:a3 + 3a2b5 + 3ab10 + b15
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
32
![Page 33: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/33.jpg)
Name:VILLA, DUSTINECUBE OF A BINOMIAL○ AVERAGE QUESTION: (1.8g8 - 5v4)3
SOLUTION:(1.8g8)3 + 3(1.8g8)2(- 5v4) + 3(1.8g8)(- 5v4)2 + (- 5v4)3
FINAL ANSWER:5.832g24 - 32.4g16v4 + 135g8v8 - 125v12
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
33
![Page 34: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/34.jpg)
Name:VILLA, DUSTINECUBE OF A BINOMIAL○ CHALLENGING QUESTION: Find the volume of a cube whose edge measure ( 5v3 + 10x5) meters.
SOLUTION:( 5v3)3 + 3( 5v3)2 (10x5) + 3( 5v3)(10x5)2 + (10x5)3
FINAL ANSWER:125v9 + 750v6x5 + 1,500v3x10 + 1,000x15 cubic meters.
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
Second Quarter Grade 8 Mathematics Performance Task Special Products
34
![Page 35: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/35.jpg)
CARLO TORRES
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
![Page 36: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/36.jpg)
∗EASY QUESTION:
( H+B )^2
SOLUTION:( H )^2+2( H ) ( B )+( G )^2
ANSWER:H^2+2HB+G^2
Name:SQUARE OF A BINOMIAL
Square of a
Binomial
Square of a
Trinomial
Product of SDTT
Product of a
Binomial and a
Trinomial
Cube of a Binomial
E A CSecond Quarter Grade 8 Mathematics Performance Task Special Products 36
![Page 37: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/37.jpg)
∗AVERAGE QUESTION:
(c^3b-d^2)2
SOLUTION:(c^3b)2+2(c^3b)(d^2)+(d^2)2
ANSWER:c^6b+c^6bc^4+c4
Name:SQUARE OF A BINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 37
![Page 38: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/38.jpg)
∗CHALLENGING QUESTION:
(½+10y^5)^2
SOLUTION:(½)^2+2(½)(10y^5)+(10y^5)^2
ANSWER:¼+10y^5+100y^10
Name:SQUARE OF A BINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 38
![Page 39: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/39.jpg)
∗EASY QUESTION:
(c+a)(a-c)
SOLUTION:( c )^2 ( a )^2
ANSWER:c^2-a^2
Name:Product of Sum and Difference of Two
Terms
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 39
![Page 40: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/40.jpg)
∗AVERAGE QUESTION:
(a^2 + b^3)(a^2 + b^3)
SOLUTION:(a^2)^2 (b^3)^2
ANSWER:a^4 - b^6
Name:Product of Sum and Difference of Two
Terms
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 40
![Page 41: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/41.jpg)
∗CHALLENGING QUESTION:
[(a+b) - 12][(a+b) - 12]
SOLUTION:[(a+b) - 12] [(a+b)+12]ANSWER:a^2+2ab+n^2 - 144
Name:Product of Sum and Difference of Two
Terms
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 41
![Page 42: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/42.jpg)
∗EASY QUESTION:
(x+4y+4)^2
SOLUTION:(X)^2+(4y)^2+(4)^2+2(x)(4y)+2(x)(4) + 2(4y)(4)
ANSWER:x^2+16y^2+16+8xy+ 8x +16y
Name:SQUARE OF A TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 42
![Page 43: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/43.jpg)
∗AVERAGE QUESTION:
4a^2+12ab+9b^2
SOLUTION:(4a^2)^2+(12ab)^2+(9b^2)^2+2(4a^2)(12ab)+2(4a^2)(9b^2)+2(12ab)(9b^2)
ANSWER:16a^4+144ab^2+81b^4+96ab^4+72b^8+216ab^4
Name:SQUARE OF A TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 43
![Page 44: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/44.jpg)
∗CHALLENGING QUESTION:(9/3a^3-4x^4+12)^2
SOLUTION:(9/3a^3)^2 + (-4b^4)^2 + (12)^2 + 2(9/3a^3)(-4b^4) + 2(9/3a^3)(12) + 2(-4b^4)(12)ANSWER:9a^6 + 16b^8 + 144 - 24a^4b^3 + 72a^3 - 96b^4
Name:SQUARE OF A TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 44
![Page 45: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/45.jpg)
∗EASY QUESTION:
(b^2+2) (b^4-4b^2+4)
SOLUTION:(b^2)^3 (2)^3
ANSWER:b^6+ 8
Name:PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 45
![Page 46: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/46.jpg)
∗AVERAGE QUESTION:(4a^2-b^3) (16a^4+8a^2b^3+b^6)
SOLUTION:(4a^2)^3 (b^3)^3
ANSWER:64a^6+b^9
Name:PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 46
![Page 47: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/47.jpg)
∗CHALLENGING QUESTION:
(2/3g^2+4/5h) (4/9g^4-16/15g^2h+16/25h^2)
SOLUTION:(2/3g^2)^3 ( 4/5h)^3
ANSWER:8/27g^6+64/125h^3
Name:PRODUCT OF A BINOMIAL AND A
TRINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 47
![Page 48: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/48.jpg)
∗EASY QUESTION:
(b+a)^3SOLUTION:
(b)^3+3(b)^2(a)+3(b)(a)^2+(a)^3ANSWER:b^3 +3b^2a+3ba^2+a3
Name:CUBE OF A BINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 48
![Page 49: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/49.jpg)
∗AVERAGE QUESTION:
(1.2+4.6)^3
SOLUTION:(1.2)^3+3(1.2)^2 (4.6)+3(1.2) (4.6)^2+(4.6)^3
ANSWER:1.728+16.56+76.176+97.336
Name:CUBE OF A BINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 49
![Page 50: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/50.jpg)
∗CHALLENGING QUESTION:
(2/5b^3+⅗)^2
SOLUTION:(2/5b^3)^3+3(2/5b^3)^2 (⅗)+3(2/5b^3) (⅗)^2+(⅗)^3
ANSWER:8/125+9/25b^6+18/25b^3+27/125
Name:CUBE OF A BINOMIAL
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
Second Quarter Grade 8 Mathematics Performance Task Special Products 50
![Page 51: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/51.jpg)
RECLECTIONGroup Name _CYCLOID_
Second Quarter Grade 8 Mathematics Performance Task Special Products 51
1 2
3 4
![Page 52: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/52.jpg)
Krystal Mizona
In this Peta it helped me in creating my own problem to solve. This peta also helped our environment in saving trees because this peta is paperless. It helped me to understand more about solving all the problems in math algebra. It’s not easy for me to create a problem.
Second Quarter Grade 8 Mathematics Performance Task Special Products 52
1 23 4
![Page 53: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/53.jpg)
Dustine VillaI LEARNED HOW TO TO HELP WITHOUT CAUSING BAD EFFECTS TO THE SOCIETY THROUGH THIS PAPERLESS PETA. I ALSO LEARNED TO APPRECIATE OUR TEACHERS WHO GIVE TIME TO MAKE POWERPOINTS FOR US TO UNDERSTAND THE LESSONS THAT WOULD REALLY BE HOPEFUL FOR US IN THE FUTURE. I HAVE ALSO UNDERSTAND THE EFFECT THIS PETA WOULD MAKE TO EVERYONE , SPECIALLY TO THE STUDENTS LIKE ME. I HAVE FULLY UNDERSTAND AND PRACTICED THE LESSONS (SPECIAL PRODUCTS) THROUGH THIS PETA/ICL 1. I THANK GOD AND SIR CAPARAS FOR THIS OPPORTUNITY TO HELP AND PRACTICE SPECIAL PRODUCTS AND I LOOK FORWARD TO MORE PETAS LIKE THIS.Second Quarter Grade 8 Mathematics Performance Task Special Products 53
1 23 4
![Page 54: Group Cycloid](https://reader036.fdocuments.in/reader036/viewer/2022062306/5882e1e01a28ab33258b630d/html5/thumbnails/54.jpg)
John Torres
Second Quarter Grade 8 Mathematics Performance Task Special Products 54
1 23 4
I have learned many things.Like solving my own problem,Like solving for square of trinomial and also cube of binomial.And also i know the steps of how to solve algebra in easy way.