- MA4-PYT-C-01 applies Pythagoras’ theorem to solve problems in various contexts
📖 Prior Knowledge
| Content | Prior knowledge | Used for |
|---|---|---|
| Fractions Decimals Percentages | - irrational numbers - rounding decimals | - writing surds and approximating surds to decimals |
| Indices | - order of operations involving indices and roots | - calculations involving Pythagoras’ theorem |
| Equations | - using formulas - solving simple quadratic formulas | - calculations involving Pythagoras’ theorem |
| Length | - perimeter | - calculating perimeter of right-angled triangles and composite shapes involving hypotenuses |
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