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Transcript
Functional Skills
Question
(Shape 2)
For the week beginning .....
Foundation AO3
Higher AO3
Foundation AO3
A ladder is leaning up against a wall. What is
the length of the ladder?
Show all your workings
?
10m
12m
Probing questions
How do you identify the hypotenuse when solving a problem using Pythagoras’
theorem?
What do you look for in a problem to decide whether it can be solved using Pythagoras’
theorem?
Talk me through how you went about drawing and labelling this triangle for this
problem.
How can you use Pythagoras’ theorem to tell whether an angle in a triangle is equal to,
greater than or less than 90 degrees?
What is the same/different about a right-angled triangle with sides 5cm, 12cm and an
unknown hypotenuse, and a right-angled triangle withsides 5cm, 12cm and an
unknown shorter side?
AO3 Foundation/Higher.
Shelly has her own glider. It was specially hand built and designed by a certain
geometry teacher friend of hers in Chicago named Bill.
She calls it the TOYMAKER.
On her last flight she jumped off a cliff and traveled in a diagonal line for 500 feet
before landing 450 feet from the base of the cliff. How high was the cliff to the
nearest ten feet?
Draw
the diagram and write on the measurements.
Higher
Higher
Probing questions.
What do you look for when deciding whether a problem can be solved using
trigonometry?
What’s the minimum information you need about a triangle to be able to calculate all
three sides and all three angles?
How do you decide whether a problem requires use of a trigonometric relationship
(sine, cosine or tangent) or Pythagoras’ theorem to solve it?
‘You can use trigonometry to find missing lengths and/or angles in all triangles.’ Is
this statement true?