grade 8 math chart by: brandon wright. perimeter the distance around a 2 dimensional shape square p=...
TRANSCRIPT
![Page 1: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/1.jpg)
Grade 8 Math ChartBy: Brandon Wright
![Page 2: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/2.jpg)
Perimeter
The distance around a 2 dimensional shape
Square P= 4s
Rectangle P= 2l+2w or P= 2 (l + w)
![Page 3: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/3.jpg)
What is the perimeter of this rectangle?
8 in.
2 in.
Answer- 20 in.
![Page 4: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/4.jpg)
What is the perimeter of this square?
4 in.
4 in.
Answer- 16 in.
![Page 5: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/5.jpg)
Circumference
The perimeter of a circle
Circle C= 2πr or C= πd
![Page 6: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/6.jpg)
What is the circumference of a circle if the diameter is14 cm.?
Answer- 42 cm.
![Page 7: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/7.jpg)
AreaThe area is the surface of an object
measured in squared units
Square A= s2
Rectangle A= lw or A= bh
Triangle A= 1/2 bh or A= bh/2
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Area Continued
Trapezoid A= 1/2 (b1 + b2) or A=(b1+b2)h/2
Circle A= πr2
![Page 9: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/9.jpg)
What is the area of this square?
7 in.
7 in.
Answer- 49 in2
![Page 10: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/10.jpg)
What is the area of this rectangle?
8 cm.
5cm.
Answer- 40 cm2
![Page 11: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/11.jpg)
What is the area of this triangle?
9 in.
4 in. Answer- 18 in2
![Page 12: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/12.jpg)
What is the area of this trapezoid if the height is 9 cm.?
11 cm.
15 cm. Answer- 117 cm2
![Page 13: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/13.jpg)
What is the area of a circle if the radius is 12 cm.?
Answer- 452 cm2
![Page 14: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/14.jpg)
P represents the perimeter of the base of a three dimensional figure.
B is the area of the base of a three dimensional figure.
![Page 15: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/15.jpg)
Surface Area
The extent of a 2D surface enclosed in a boundary
Cube 6s2
Prism (Lateral) Ph
Prism (Total) Ph + 2B
Pyramid (Lateral) 1/2 PL
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Surface Area Cont.
Pyramid (Total) ½ Pl + B
Cylinder (Lateral) 2πrh
Cylinder (Total) 2πr(h + r)
![Page 17: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/17.jpg)
What’s the surface area of this cube if one side is 8 in. long?
8 in.
Answer- 384 in.
![Page 18: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/18.jpg)
What is the surface area of this lateral prism if the height is 5 cm. and the perimeter of the base is 10 cm.?
Answer- 50 cm.
![Page 19: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/19.jpg)
What is the surface area of this total prism if the perimeter of the base is 10 cm. the area is 16 cm. and the height is 18 cm.?
Answer- 212 cm.
![Page 20: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/20.jpg)
What is the surface area of this lateral prism if the base’s perimeter is 10 in. and the length is 8 in.?
Answer- 40 in.
![Page 21: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/21.jpg)
What’s the surface area of a total pyramid if the area of the base is 16 in. the perimeter is 16 in. and the length is 8 in.?
Answer- 72 in.
![Page 22: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/22.jpg)
What’s the surface area of a lateral cylinder if the radius is 8 cm. and the height is 10 cm.?
Answer- 240 cm.
![Page 23: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/23.jpg)
What is the surface area of a total cylinder if the height is 10 in. and the radius is14 in.?
Answer- 2016 in.
![Page 24: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/24.jpg)
Volume
The amount of space an object takes up
Cube S= 6s2
Prism S= Ph
Pyramid S= ½ Pl
Cylinder S= 2πrh
![Page 25: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/25.jpg)
What is the volume of a prism that the base area is 16 in. and the height is 12 in.?
Answer- 192 in3
![Page 26: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/26.jpg)
What is the volume of a cylinder if the area of the base is 36 cm. and the height is 14 cm.?
Answer- 504 cm3
![Page 27: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/27.jpg)
What is the volume of a pyramid if the area of the base is 16 in. and the height is 9 in.?
Answer- 48 in3
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What is the volume of a cone if the area of the base is 9 cm. and the height is also 9 cm.?
Answer- 27 cm3
![Page 29: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/29.jpg)
What is the volume of this sphere if the radius is 5 in.?
Answer- 500 in3
![Page 30: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/30.jpg)
Pi
Ratio of a circumference of a circle of its diameter
3.14 or 22/7
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What is the area of a circle if the diameter is 6 in. and the formula is πr2?
Answer- 108 in2
![Page 32: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/32.jpg)
Pythagorean Theorem
A theorem that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides
a2 + b2= c2
![Page 33: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/33.jpg)
If two angles in a triangle are 100o and 35o than what is the measure of the third angle?
Answer- 45o
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Simple Interest Formula
When you borrow money and need to pay it back
I= prt
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P = $15,000R = 15%T = 3 yearsFind I.
Answer- $6750
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Linear Equation
An equation whereby letters represent real numbers and whose graph is a line
4y = 2(x + 2y)
![Page 37: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/37.jpg)
x= 4(3y) – 12
If y is 3, then what is x?
Answer- 24
![Page 38: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/38.jpg)
Function
The idea that one quantity completely determines another quantity
![Page 39: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/39.jpg)
x {2,4,6,8}Find the y values if the function is
x2=y.
y {4,8,12,16}
![Page 40: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/40.jpg)
Function Notation
A notation that describes a function
f(x) = 2x 2 + 3x + 4
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Domain
The x point
![Page 42: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/42.jpg)
What is the domain? (8, 6)
Answer- 8
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Range
The y point
![Page 44: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/44.jpg)
(8, 6)
Whats the range?
Answer- 6
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Ratios
Comparing a number to another number like 3:4, 3 to 4, or 3/4
![Page 46: Grade 8 Math Chart By: Brandon Wright. Perimeter The distance around a 2 dimensional shape Square P= 4s Rectangle P= 2l+2w or P= 2 (l + w)](https://reader035.vdocuments.mx/reader035/viewer/2022062423/5697bfe91a28abf838cb6e5a/html5/thumbnails/46.jpg)
The ratio of boys to girls is 5:3 so if there is 30 girls how many boys are there? What is the new ratio?
Answer- 18; 30:18