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Comprehensive Mastery Review: Unit 2 Synthesis

Interactive lesson with 5 learning stations and smart audio player - Comprehensive Mastery Review: Unit 2 Synthesis

27 مشاهدة آخر تحديث: 18 أكتوبر 2026
Station 1 of 5 Spark & Prepare: Goals & Discovery
Primary 6 - Math Unit 2: Rational Numbers and Algebraic Expressions

Unit 2 Culmination: Rational Numbers, Operations, and Algebraic Expressions

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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:
Q1: Simplify: 3(2x + 4) - 4x, and evaluate the result when x = 5?
Distribute: 6x + 12 - 4x = 2x + 12.
Substitute x = 5: 2(5) + 12 = 10 + 12 = 22.
Q2: Find a rational number strictly between 1/4 and 1/3?
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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synthesis
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دمج ومراجعة شاملة للمفاهيم
📖 Def: the combination of separate components to form a coherent whole
rational numbers Q
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مجموعة الأعداد النسبية
📖 Def: the set of all numbers expressible as a/b with b ≠ 0
absolute value
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القيمة المطلقة
📖 Def: the distance from zero on the number line |x| ≥ 0
additive inverse
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المعكوس الجمعي
📖 Def: the number opposite in sign: a + (-a) = 0
reciprocal
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المعكوس الضربي
📖 Def: multiplicative inverse where (a/b) × (b/a) = 1
least common denominator
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المضاعف المشترك الأصغر للمقامات
📖 Def: the smallest common denominator for adding fractions
distributive property
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خاصية التوزيع
📖 Def: a(b + c) = ab + ac
variable
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متغير جبري
📖 Def: a symbol representing an unknown value
coefficient
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معامل المتغير
📖 Def: the numerical multiplier of a variable
constant
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الحد الثابت
📖 Def: a number with a fixed value
like terms
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حدود متشابهة
📖 Def: terms with identical variables and powers
evaluation
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التعويض العددي
📖 Def: substituting numerical values into expressions
closure
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الانغلاق
📖 Def: operating on elements produces an element in the same set
cross-canceling
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الاختصار المسبق
📖 Def: simplifying common factors before multiplying

Click on an option to check your answer and view the detailed explanation:

1 What is the numerical value of: |-16| + |0| - |-7|?
2 If (x - 4) / 9 = 0, what is the value of x?
3 Simplify the expression: 4(2x + 3) - 5x:
4 What is the result of dividing: (-2/5) ÷ (-2/5)?
5 Which of the following numbers lies between 0.3 and 0.4?
6 In the expression 9x - 4y + 15, the constant term is:
7 What is the reciprocal of the decimal 0.25?
8 Evaluate: 3/7 + 4/7 + (-1)?
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