**TRIGONOMETRY, SURDS & PYTHAGORAS** (6.5 school weeks)

##### FOUNDATION

Lesson 1: Work fluently with the hypotenuse, opposite and adjacent sides

Lesson 2: Use the tangent ratio to find missing side lengths

Lesson 3: Use the sine and cosine ratio to find missing lengths

Lesson 4: Use all three ratios to find missing lengths

Lesson 5: Use all three ratios to find missing angles

Lesson 6: Working with Surds

Lesson 7: Simplifying Surds

Lesson 8: Expanding Brackets with Surds

Lesson 9: Find exact values for all three ratios for special angles

Lesson 10: Working with exact values

Lesson 11: Calculate sides using Pythagoras Theorem

Lesson 12: Method selection

Lesson 13: Solving area problems using Pythagoras and Trigonometry

##### HIGHER

Lesson 1: Work fluently with the hypotenuse, opposite and adjacent sides

Lesson 2: Use the tangent ratio to find missing side lengths

Lesson 3: Use the sine and cosine ratio to find missing lengths

Lesson 4: Use all three ratios to find missing lengths

Lesson 5: Use all three ratios to find missing angles

Lesson 6: Working with Surds

Lesson 7: Simplifying Surds

Lesson 8: Expanding Brackets with Surds

Lesson 9: Rationalising Surds

Lesson 10: Find exact values for all three ratios for special angles

Lesson 11: Working with exact values

Lesson 12: Calculate sides using Pythagoras Theorem

Lesson 13: Method selection

Lesson 14: Solving area problems using Pythagoras and Trigonometry

Lesson 15: Use the formula 1/2absinC to find the area of non right angled triangles

Lesson 16: Understand and use the Sine Rule to find missing lengths

Lesson 17: Understand and use the Sine Rule to find missing angles

Lesson 18: Understand and use the Cosine Rule to find missing lengths

Lesson 19: Understand and use the Cosine Rule to find missing angles

Lesson 20: Choose and use the Sine and Cosine Rules