Lesson Notes By Weeks and Term v4 - SHS 1
REAL NUMBER SYSTEM
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REAL NUMBER SYSTEM
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Subject: Mathematics
Class: SHS 1
Term: 1st Term
Week: 1
Grade code: 1.1.1.LI.2
Strand code: 1
Sub-strand code: 1
Content standard code: 1.1.1.CS.1
Indicator code: 1.1.1.LI.2
Theme: NUMBERS FOR EVERYDAY LIFE
Subtheme: REAL NUMBER SYSTEM
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In our daily lives in Ghana, we use numbers constantly. When we buy waakye for GH₵5.50, we are using a decimal. When we share a loaf of bread among 3 people, each person gets 1/3, which is a fraction. Understanding the different types of numbers that make up our world helps us to be more precise in calculations, from carpentry and engineering to finance and technology. This lesson explores the two main families within the Real Number System: the Rational numbers (which are "well-behaved" and can be written as fractions) and the Irrational numbers (which are "wild" and cannot).
A. The Building Blocks: Subsets of Real Numbers
Before we dive into rational and irrational numbers, let's quickly review the numbers we already know. The Real Number system is like a big family with many smaller groups inside it. Natural Numbers (N): Our counting numbers {1, 2, 3, 4, ...} Whole Numbers (W): Natural numbers plus zero {0, 1, 2, 3, ...} Integers (Z): Whole numbers and their opposites {... -3, -2, -1, 0, 1, 2, 3, ...}
All these are part of a bigger group called Rational Numbers. B. Rational Numbers (Q)
The word "Rational" contains the word "Ratio". A ratio is a comparison of two numbers, often written as a fraction.