- MA4-PYT-C-01 applies Pythagoras’ theorem to solve problems in various contexts
📖 Prior Knowledge
| Content | Prerequisite relationships |
|---|---|
| Geometric Measure A | - Calculate the perimeter of 2D shapes → Solve problems with Pythagoras’ theorem |
| Fractions Decimals Percentages | - Identify and define irrational numbers → Find a side using Pythagoras’ theorem |
| Indices | - Use square roots and cube roots → Find a side using Pythagoras’ theorem |
| Equations | - Solve quadratic equations of the form → Find a side using Pythagoras’ theorem |
Identify and define Pythagoras’ theorem.pdf
- Identify and describe the hypotenuse as the side opposite the right angle and the longest side in any right-angled triangle
- Establish the relationship between the lengths of the sides of a right-angled triangle
- Use the relationship to record and define Pythagoras’ theorem both algebraically and in words
Examine problems involving Pythagoras’ theorem.pdf
- Apply Pythagoras’ theorem to find the unknown length of a side in a right-angled triangle, giving answers in an exact form or as decimal approximations
- Apply the converse of Pythagoras’ theorem to establish whether a triangle is right angled
- Solve practical problems involving Pythagoras’ theorem before exploring a variety of related problems
- Justify whether a set of 3 integers is a Pythagorean triad