Unit 2 Culmination: Rational Numbers, Operations, and Algebraic Expressions
Congratulations on completing Unit 2 of Primary 6 Mathematics! In this comprehensive review, we synthesize all fundamental mathematical concepts covered throughout this unit. We began with the geometry of the signed number line, exploring opposites, additive inverses, and the non-negative nature of absolute value |x|. We formalized the set of rational numbers Q (a/b where b ≠ 0) and mastered methods for comparing and ordering rational quantities. We investigated the four arithmetic operations in Q: addition and subtraction using the least common denominator (LCD), and direct multiplication and division via multiplicative inverses (reciprocals). Finally, we transitioned into algebra by identifying variables, coefficients, and constants, writing expressions from real-world verbal phrases, and combining like terms. You are now fully prepared for standardized ministerial assessments!
Number Line & Q
Opposites, absolute value |x| ≥ 0, fraction form a/b (b ≠ 0), equivalent forms, and LCD comparison.
Operations in Q
Addition and subtraction with LCD, multiplication, division via reciprocals, and the distributive law.
Algebra Basics
Variables, coefficients, constants, combining like terms, and evaluating expressions.
Mastery Problem Solving:
Distribute: 6x + 12 - 4x = 2x + 12.
Substitute x = 5: 2(5) + 12 = 10 + 12 = 22.
Convert to common denominator 24: 1/4 = 6/24 and 1/3 = 8/24.
A number between them is 7/24.
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