SHS3 Mathematics · Semester 1, Week 6
Proportional Reasoning
Full lesson notes coming
Notes for this lesson are being prepared. The curriculum details below are complete and ready to use for your planning.
Curriculum details
- Strand
- Numbers for Everyday Life (Strand 1)
- Sub-strand
- Proportional Reasoning (1.2)
- Content standard
- 3.1.2.CS.2 - Demonstrate a conceptual understanding of proportionality in relation to variation and use it to solve real-life problems. 3.1.2.LO.2 Analyse the impact of variations and conduct simple investigations in solving date-to-day problems.
- Indicator
- 3.1.2.LI.3 - Carry out mini real-life investigations to solve problems involving logical reasoning within their local community.
- Suggested placement
-
Semester 1, Week 6
(Week 6 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
- Curriculum reference
- NaCCA curriculum document, p. 307
Exemplars (from the NaCCA curriculum)
Using group/collaborative strategies, engage learners to discuss and establish the connection between the language of Geometry and logic. i.e., establish the meaning of the following vocabulary as used in logical reasoning. 1. Statement 2. True value 3. Negation 4. Conjunction 5. Disjunction 6. Conditional statement 7. Hypothesis 8. Conclusion 9. All statements. Example: In a mixed-gender group, conduct a mini survey by visiting the following centres: 1. Physical health department/unit, 2. Accounts department/unit, 3. science laboratory, 4. Computer laboratory, 5. School kitchen (if any) to establish logical connections and draw valid arguments, including the use of diagrams (truth tables or sets). i.e., carry out an investigation on logical reasoning based on symptoms. E.g. i.The presence or absence of any symptoms implies the presence or absence of a certain disease. ii. If a solution changes litmus paper to red, then it is acidic. iii. If an athlete wins hits, he/she qualifies for finals. Through think-pair-share, carry out outreach investigation on the real-life applications of logical reasoning (i.e....... Assignments outside the school environment). E.g. At the banks, hospitals, markets, mechanics shops, law courts, artisans, etc. Be aware of inculcating leadership, respect for and tolerate team members' views, commitment to excellence achievement, discipline and self-confidence and with supportive differentiated classroom instruction to make appropriate generalisation through critical thinking and problem-solving Teaching and Learning Resources: - * Teaching and Learning Resources * Manipulative (dice, coins, spinners, playing cards, counters, * Task Cards digit cards), * Simple Probability Mazes (Printable & Digital), - * Worksheets Assessment (3.1.2.AS.3). The document marks these depth-of-knowledge levels for this indicator: Level 1 Recall; Level 2 Skills of conceptual understanding; Level 3 Strategic reasoning.