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

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

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

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