| Lesson #
| Lesson Title
| NC Ref
| Suggested Starter
| Learning Objectives
| Grade
| Suggested Textbook
|
| 1
| recall and understand Pythagoras’ Theorem
| Ma3-2f
|
- find square numbers and sq. roots
- rearrange simple equations
- rounding to sf and dp
| recall and understand Pythagoras’ Theorem
| C
| Bostock L. (2002) STP National Curriculum Mathematics 8A Chapter 21
|
| apply Pythagoras' theorem
| C
|
| visualise the theorem using Perigals’ dissection
| C
|
| 2
| Deciding whether triangles are right-angled, and proving Pythagoras' theorem.
| Ma3-2f
|
- Identify different types of triangles: acute, obtuse, right-angled
- a2 + b2 = c2 investigation
| determine whether triangles are right-angled
| C
| Bostock L. (2002) STP National Curriculum Mathematics 8A Chapter 21
|
| prove Pythagoras’ theorem using algebraic methods
| C
|
| history of Pythagoras and applications for everyday life
| C
|
| 3
| Finding hypoteneuse. Finding missing side lengths.
| Ma3-2f
| given the lengths of three sides, determine whether a triangle is right-angled.
| calculate the length of the hypotenuse using Pythagoras' theorem
| C
| Johnson T. (2006), Edexcel GCSE Mathematics Higher Tier, Linear Course, Chapter 19
|
| recall Pythagorean triples
| C
|
| find hypotenuse using the (x, y) coordinates of two points.
| C
|
| 4
| calculate the length of an unknown side of a right-angled triangle
| Ma3-2f
| find length of missing side
| calculate the length of an unknown side of a right-angled triangle
| C
| Muschla, A. (1999) Math Starters, Jossey-Bass
|
| calculate the height of an isosceles triangle using Pythagoras' theorem
| C
|
| calculate the area of a triangle given the lengths of all three sides
| C
|
| 5
| Use Pythagoras’ theorem to solve problems in 3D
| Ma3-2f
| multi-stage problems: finding the length of an unknown side
| Use Pythagoras’ theorem to solve problems in 3D
| C
| Porkess R. (2007) Higher MEI GCSE Mathematics, Hodder Murray Chapter 7
|
| a2 + b2 + c2 = d2
| C
|
| find the length of a diagonal inside a square or rectangular based pyramid
| C
|
| 6
| Introducing trigonometry
| Ma3-2g
| Identify pairs of similar triangles
| identify similar triangles
| B
| Smith, A. (2006) Higher GCSE Mathematics for Edexcel, Hodder Arnold, Chapters:16 and 17
|
| define the tan ratio
| B
|
| recall use of trigonometric functions on a calculator
| B
|
| 7
| Introducing Sine and Cosine ratios
| Ma3-2g
| construct a triangular spiral
| define and calculate the SINE ratio in a right-angled triangle
| B
| Websites:
- 10ticks.co.uk
- cimt.plymouth.ac.uk
- easymaths.com
- examsolutions.co.uk
- funmaths.com
- Maths4Real (teachers.tv)
- mymaths.co.uk
|
| define and calculate the COSINE ratio in a right-angled triangle
| B
|
| choose the correct trigonometric ratio in calculations
| B
|
| 8
| SOHCAHTOA
| Ma3-2g
| quiz: which formula would you use to calculate the length of x?
| SOHCAHTOA
| B
| -
|
| recall SIN, COS and TAN ratios using the SOHCAHTOA mnemonic
| B
|
| find lengths of sides of right-angled triangles using the appropriate ratio
| B
|
| 9
| Arctan, Arcsin and Arccos
| Ma3-2g
| trigonometry BC (before calculators)
| use of SIN-1, COS-1, and TAN-1 methods to determine unknown angles
| B
| -
|
| calculate missing angles in right-angled triangles
| B
|
| multi-stage problems in trigonometry
| B
|
| 10
| Bearings
| Ma3-2g
| accurate bearings drawings
| bearings
| A
| -
|
| angles of depression and elevation
| A
|
| word problems
| A
|
| 11
| Consolidation
| Ma3-2g
| pupil lead lesson, to address specific learning needs
| Consolidation
| A
| -
|
| multi-stage problems using Pythagoras' theorem and trigonometry
| A
|
| real-life situations and bearings
| A
|
| 12
| Test
| Ma3-2f Ma3-2g
| -
| -
| -
| -
|
| -
| -
|
| -
| -
|
