SHS3 Mathematics · Semester 1, Week 1

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.1 - Demonstrate conceptual understanding of logical reasoning to solve real-life problems. 3.1.2.LO.1 Establish the validity of logical arguments and use it to make relevant decisions in solving problems.
Indicator
3.1.2.LI.1 - Investigate to establish differences between variables in situational growth (symbolic logic) and apply it to real world situations.
Suggested placement
Semester 1, Week 1 (Week 1 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. 303

Exemplars (from the NaCCA curriculum)

Through think-pair-share: Establish the concept of logical reasoning, use it to compare statements and quantifiers, make intelligent guessing and judge the validity of logical arguments (including positive and negative statements), and ensure participation by all learners.
Example: Make a declarative sentence and identify whether it is true or false. i.e. i. (False) ii. Accra is the capital city of Ghana. (True) iii. The earth is the third planet from the sun. (True)
Positive Statement: Rain fell in northern Ghana today. Negative Statement: No rain fell in northern Ghana today.
In collaborative and gender-responsive groups, investigate to establish truth tables, statements and connections using conjunction (And) or disjunction (Or). i.e. Logical connectives: like, and, or, not, and if . . . then, are examples of connectives. i.e. i. Conjunct 1: It is raining heavily ii. Conjunct 2: The dogs are barking iii. Conjunction: It is raining heavily, and the dogs are barking
Teaching and Learning Resources:
- Technology tools:
- Computer, GeoGebra, Google
- Search,
- YouTube videos, etc
- Cardboards,
- measuring instruments
Assessment (3.1.2.AS.1). The document marks these depth-of-knowledge levels for this indicator: Level 2 Skills of conceptual understanding.