WS02 - Proof and conjecture
Mathematics, Year 10
- Student portfolio
Annotations
1. Presents a portfolio of learning to demonstrate their understanding of triangles and ability to formulate proofs involving congruent triangles and angle properties.
2. Identifies the necessary prior learning for formulating triangle proofs.
3. Investigates right-angled triangles and identifies the difference between similar and congruent triangles, connecting the problem to known theorems.
4. Generalises the least amount of information required to define pairs of congruent triangles.
5. Generalises the properties of similar triangles.
6. Lists the theorems and rules for congruency in triangles.
7. Uses deductive reasoning skills and demonstrates knowledge of the SAS rule, to prove triangles are congruent.
8. Uses deductive reasoning skills to determine that there is not enough information given to prove triangles are congruent.
9. Uses deductive reasoning skills and demonstrates knowledge of the SSS rule to prove triangles are congruent.
10. Applies knowledge of congruent triangles and angle properties to solve problems, and applies deductive reasoning to prove solutions.
11. Applies knowledge of similar triangles and deductive reasoning to find the height of the ladder.
12. Applies knowledge of similar triangles and deductive reasoning to find the width of the void.