Lesson |
|
Title: Geometry |
Grade: 1300-a Lesson: F1 |
Explanation: Hello Students, time to learn definitions. Let us take turns and read definitions and explain the pictures. Try to remember or memorize the definitions. Pay special attention to the pictures and communicate in your own words. |
Lesson:
| Formula id | Formula Name | Formula | Note |
|---|---|---|---|
1 |
Perimeter of 2d-shapes |
||
1.1 |
Square |
4s |
s - side |
1.2 |
Rectangle |
2(l + b) |
l - length |
1.3 |
Triangle |
a + b + c |
a, b, and c are the sides of the triangle |
1.4 |
Parallelogram |
2(a + b) |
a and b are adjacent sides |
1.5 |
Trapezoid |
a + b + c + d |
a, b, c, d being the sides of the trapezoid |
1.6 |
Rhombus |
\$4 times "a"\$ |
a is the length of the side of the rhombus |
1.7 |
Isosceles Triangle |
2a + b |
a is the sides and b is the hypotenuse |
1.8 |
Equilateral Triangle |
3a |
a is the length of the side of an equilateral triangle |
1.9 |
Perimeter of Rhombus With Diagonals |
\$2sqrt(p^2 + q^2)\$ |
p and q are Diagonals |
1.10 |
Perimeter of Square with Diagonal |
\$2sqrt2"a"\$ |
a → Diagonal |
1.11 |
Perimeter of a Hexagon |
6a |
a → length of one side |
1.12 |
Perimeter of a Pentagon |
5a |
a → length of one side |
1.13 |
Semicircle Perimeter |
πr + 2r |
r is the radius(Use π = 3.14) |
2 |
Area of 2d shapes |
||
2.1 |
Area of Rectangle |
\$"l" times "b"\$ |
l = length |
2.2 |
Area of Square |
\$"a"^2\$ |
a = sides of the square |
2.3 |
Area of a Triangle |
\$1/2 "b" times "h"\$ |
b = base |
2.4 |
Area of a Circle |
\$π"r"^2\$ |
r = radius of the circle |
3 |
Surfacearea of 3d shapes |
||
3.1 |
Surface area of cube |
\$6"a"^2\$ |
a → area |
3.2 |
Circumference of the cylinder |
2πr |
r → radius |
3.3 |
Area of the rectangle |
2πrh |
r → radius |
3.4 |
Surface area of the sphere |
\$4π"r"^2\$ |
r is the radius of sphere |
3.5 |
Surface Area of a Hemisphere |
\$3πr^2\$ |
r is the radius of the hemisphere |
3.6 |
Curved surface area of frustum of cone |
\$πl("R" + "r")\$ |
(r) = radius of the smaller circle |
3.7 |
Total surface area of frustum of cone |
πl(r + R) + π (r2 + R2) |
slant height (L) |
3.8 |
Curved Surface Area Cuboid |
2h(l + b) |
l, b and h are length, breadth and height of a cuboid |
3.9 |
Total Surface Area Cuboid |
2(lb + bh + hl) |
l, b and h are length, breadth and height of a cuboid |
3.10 |
Curved Surface Area cube |
\$4"a"^2\$ |
a → area |
3.11 |
Curved Surface Area Cylinder |
\$2π"rh"\$ |
radius 'r' and height 'h' |
3.12 |
Total Surface Area Cylinder |
\$2π"r"("r" + "h")\$ |
radius 'r' and height 'h |
3.13 |
Curved Surface Area Sphere |
\$4π"r"^2\$ |
r is the radius of sphere. |
3.14 |
Total Surface Area Sphere |
\$4π"r"^2\$ |
r is the radius of sphere. |
4 |
Volumes |
||
4.1 |
Volume of Cube |
\$"a"^3\$ |
a → Side of the cube |
4.2 |
Volume of a Cuboid |
\$"l" times "b" times "h"\$ |
l → Length |
4.3 |
Volume of a Cylinder |
\$"V" = π"r"^2"h"\$ |
r → Radius of the cylinder |
4.4 |
Volume of a Cone |
\$1/3 π"r"^2"h"\$ |
r → Radius of the cylinder |
4.5 |
Volume of a Sphere |
\$4/3 π"r"^3\$ |
r → Radius of a sphere |
4.6 |
Volume of Pyramid |
\$"V" = 1/3 "bh"\$ |
B → is the base area |
4.7 |
Volume of hemisphere |
\$2/3 πr^3\$ |
r → is the radius of the hemisphere. |
4.8 |
Volume of the frustum cone |
\$1/3 π"H"("R"^2 + "Rr" + "r"^2)\$ |
a frustum of base radius 'R' top radius 'r', height 'H' |
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