Tuesday the 21st of October

National 5
Angles in a semi-circle and tangents
L.I. To review angles in a semi-circle and to look at tangents to a circle
S.C. I understand that triangle in a semi-circle is right angled if it is made from a diameter and two lines joining from opposite ends of the diameter.
       I can use my knowledge of angles in a triangle to fill in missing angles as needed.
       I can use my knowledge of Pythagoras to calculate missing lengths.
       I understand what a tangent is and how it connects to the circle.
       I can use my knowledge of angles in a triangle to fill in missing angles as needed.
       I can use my knowledge of Pythagoras to calculate missing lengths.

      

 

Advanced Higher

Differentiation

L.I. To use implicit differentiation to calculate the equation of the tangent to a curve.

S.C. I can differentiate an expression written implicitly

       I can use this to find dy/dx

       I know that dy/dx found at a certain point will give me the gradient of the tangent to y

       I can find the equation of the tangent asked for.