LO To assess your understanding of
Pythagoras’ Theorem and Trigonometry
RAG
Key Words: Sine, Tangent, Cosine, Inverse
8-Apr-15
Starter Activity
Complete the ‘Heard the Word Grid.’
Are there any key words that you have learnt or
have a better understanding of now than you did at
the start of this unit of work?
Pythagoras’ Theorem and Trigonometry
Grade
D
C
B
A/A*
I can find the length of
the hypotenuse in a
right angled triangle
using Pythagoras
Theorem.
I can find the length of a
shorter side in a right
angled triangle using
Pythagoras Theorem.
I can find missing
lengths and distances in
shapes other than right
angled triangles using
Pythagoras Theorem.
I can solve 3D
Pythagoras problems.
I can label the Opposite
and Adjacent sides to
any given angle.
I can choose which trig
ratio to apply to a given
problem (Sin, Cos, Tan).
I can use trigonometry
(Sin, Cos, Tan) to
find a missing angle
find one of the shorter
sides
find the hypotenuse.
I can recognise the
difference between
problems involving
right-angled triangles
that require Pythagoras’ I can calculate the area
theorem, or
of a triangle using
Trigonometry, to be
½ ab sin C.
applied.
I can use the sine and
cosine rules to solve 2-D
and 3-D problems.
Formula Sheet:
In any triangle ABC
Area of triangle =
Sine rule
Cosine rule a2 = b2 + c2 – 2bc cos A
The Quadratic Equation
The solutions of ax2 + bx + c = 0, where a ≠ 0, are given by
Key Words /
symbols
Right Angled
Triangle
Hypotenuse
Pythagoras
Theorem
Formula
Trigonometric
Ratio
Opposite Side
Adjacent Side
Never
heard
before?
Heard of
but not sure
what it
means?
Know what it means and can explain it in
context
Jot down your ideas here...
Grade D
Grade D
For each of the triangles below label the
sides adjacent, opposite and hypotenuse.
Grade C
Grade C
For each of the triangles above decide which of
the Trigonometric Ratios you would use to find the
missing side or angle.
Grade C
Describe the difference between a problem that
can be solved using trigonometry and a problem
that can be solved using Pythagoras’ Theorem.
Grade B
Grade B
Grade B
Grade B
Grade B Question
In triangle ABC, AB = 11 cm, BC = 9 cm and CA =
10 cm.
Find the area of triangle ABC.
Grade A /A* Questions
In triangle ABC the length of AB is 13.2 cm.
Angle BAC = 40°
Angle BCA = 114°
Not drawn accurately
Work out the length of BC.
Give your answer to an appropriate
degree of accuracy.
Answers & Working 0ut
Grade A/A* Questions
(a) ABC is a triangle.
AC = 19 cm, BC = 17 cm and angle BAC = 60°
Not to scale
Calculate the size of angle ABC.
(b) PQR is a triangle.
PR = 23 cm, PQ = 22 cm and angle QPR = 48°
Not to scale
Calculate the length of QR.
Give your answer to an appropriate degree of
accuracy.
Answers & Working 0ut
Pythagoras’ Theorem and Trigonometry
Grade
D
C
B
A/A*
I can find the length of
the hypotenuse in a
right angled triangle
using Pythagoras
Theorem.
I can find the length of
a shorter side in a right
angled triangle using
Pythagoras Theorem.
I can find missing
lengths and distances in
shapes other than right
angled triangles using
Pythagoras Theorem.
I can solve 3D
Pythagoras problems.
I can choose which trig
I can label the Opposite ratio to apply to a given I can use trigonometry
and Adjacent sides to
problem (Sin, Cos, Tan). (Sin, Cos, Tan) to
any given angle.
find a missing angle
I can recognise the
find one of the shorter
difference between
sides
problems involving
find the hypotenuse.
right-angled triangles
that require
Pythagoras’ theorem,
or Trigonometry, to be
applied.
I can use Trigonometric
Ratios in right-angled
triangles to solve 3-D
problems.
I can calculate the area
of a triangle using ½ ab
sin C.
I can use the sine and
cosine rules to solve 2D and 3-D problems.
Use the learning journey above to highlight the mathematical skills that you have now which
you didn’t have at the start of the unit of work.
How much progress have you made?
What can you do to improve your skills as a learner in order to make even better progress?
My teachers probing question
My answer
What I will do to act upon my ‘Even Better If’’ comment
Strategy
Complete a mymaths lesson or booster pack
Use a revision guide or text book
Ask my teacher to explain during a lesson
Ask a peer to explain during a lesson
Ask someone at home to help
Attend a revision session at school
Attend homework club
Something else (describe your strategy here)
Tick the strategy you will use.