# 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

$V={\frac {1}{3}}(Area_{base}\times height)$

## 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 ($x_{2},y_{2},z_{2}$ )

$\left({\frac {x_{1}+x_{2}}{2}},{\frac {y_{1}+y_{2}}{2}},{\frac {z_{1}+z_{2}}{2}}\right)$