IB Mathematics SL/Prior Learning

Prior Learning

The International Baccalaureate expects Mathematics Standard Level students to know these formulae and related concepts.

Area of a parallelogram:

$A=b\times h$

Area of a triangle:

$A=\frac{b\times h}{2}$

Area of a trapezium

$A=\frac{1}{2}(a+b)h$

Area of a circle

$A=\pi r^2$

Circumference of a circle

$C=2\pi r$

Volume of a Pyramid

$V=\frac{1}{3}(Are{a}_{base}\times height)$

Volume of a Cuboid (rectangular prism)

$V=l\times w\times h$

Volume of a Cylinder

$V=\pi r^{2}h$

Area of the curved surface of a cylinder

$A=2\pi rh$

Volume of a Sphere

$V=\frac{4}{3}\pi r^3$

Volume of a cone

$V=\frac{1}{3}\pi r^{2}h$

Distance between two points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$

$d=\sqrt{(x_1-x_2{)}^2+(y_1-y_2{)}^2+(z_1-z_2{)}^2}$

Coordinates of the midpoint of a line segment with endpoints ($x_1,y_1,z_1$) and ($x_2,y_2,z_2$)

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2},\frac{z_1+z_2}{2})$