Transcript Grade C - Growth Mindset Maths

LO To assess your understanding of
Pythagoras’ Theorem and Trigonometry
RAG
Key Words: Sine, Tangent, Cosine, Inverse
8-Apr-16
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
E
D
C
B
A/A*
I can solve
problems involving
square numbers,
square roots and
cube numbers
giving reasons for
my answers.
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
I can recognise the find one of the
difference between shorter sides
problems involving find the
right-angled
hypotenuse.
triangles that
require Pythagoras’
theorem, or
Trigonometry, to be
applied.
I can use
Trigonometric
Ratios in rightangled 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 2-D and 3-D
problems.
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 E
Explain why
is less than 10.
90
………………………………………
………………………………………
Grade E
Find the value of
(i) the square root of 36
.............................
(ii) 5 × 102
.............................
(iii) 33
.............................
Grade D
Grade D
For each of the triangles below label the sides adjacent, opposite and hypotenuse.
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 C
Grade C
Grade C
A and B are points on a centimetre grid.
A is the point (3, 2).
B is the point (7, 8).
Calculate the distance AB.
Give your answer correct to 3 significant figures.
Grade B
Grade B
Grade B
Grade B
Grade B
Grade B
Grade A
Grade A/A*
Grade A/A*
The depth, D metres, of the water at the end of
a jetty in the afternoon can be modelled by this
formula
D = 5.5 + A sin 30(t – k)°
where
t hours is the number of hours after midday,
A and k are constants.
Yesterday the low tide was at 3 p.m.
The depth of water at low tide was 3.5 m.
Find the value of A and k.
Grade A/A*
Pythagoras’ Theorem and Trigonometry
Grade
E
D
C
B
A
I can solve
problems involving
square numbers,
square roots and
cube numbers
giving reasons for
my answers.
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
I can recognise the find one of the
difference between shorter sides
problems involving find the
right-angled
hypotenuse.
triangles that
require Pythagoras’
theorem, or
Trigonometry, to be
applied.
I can use
Trigonometric
Ratios in rightangled 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 2-D 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.