LO To assess your understanding of Pythagoras’ Theorem and Trigonometry

RAG

Key Words: Sine, Tangent, Cosine, Inverse 18 Apr 2023

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?

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

Formula Sheet:

Key Words / symbols

Never heard before?

Heard of but not sure what it means?

Know what it means and can explain it in contextJot down your ideas here...

Right Angled Triangle

Hypotenuse

Pythagoras Theorem

Formula

Trigonometric Ratio

Opposite Side

Adjacent Side

Grade D Grade D

For each of the triangles below label the sides adjacent, opposite and hypotenuse.

Grade C

Grade CFor each of the triangles above decide which of the Trigonometric Ratios you would use to find the missing side or angle.

Grade CDescribe 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 Answers & Working 0ut

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.

Grade A/A* Questions Answers & Working 0ut

(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.

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 Tick the strategy you will use.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)