Introduction to Algebraic Equations with Fractions and Decimals
Students will solve linear equations involving fractions and decimals, building on their understanding of rational numbers and inverse operations.
Key Questions
- Explain how to clear fractions or decimals from an equation to simplify solving.
- Compare solving equations with integers versus those with rational numbers.
- Construct a real-world problem that leads to a linear equation with fractions or decimals.
MOE Syllabus Outcomes
Suggested Methodologies
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5E Model
The 5E Model structures lessons through five phases (Engage, Explore, Explain, Elaborate, and Evaluate), guiding students from curiosity to deep understanding through inquiry-based learning.
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More in Number Systems and Operations
Integers and Their Properties
Students will define integers, compare and order them, and understand their absolute value and additive inverses.
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Operations with Integers: Addition and Subtraction
Students will perform addition and subtraction of integers using number lines and conceptual models, understanding rules for signs.
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Operations with Integers: Multiplication and Division
Students will learn and apply the rules for multiplying and dividing integers, including understanding the impact of signs.
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Rational Numbers: Fractions and Decimals
Students will define rational numbers, convert between fractions and decimals, and compare and order them.
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Operations with Rational Numbers
Students will perform all four basic operations with fractions and decimals, including mixed numbers.
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