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
$$ A = 2 \pi r h $$

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