Operations with Rational Numbers
Students will perform all four basic operations with fractions and decimals, including mixed numbers.
Key Questions
- Analyze the steps involved in dividing fractions and explain the 'keep, change, flip' method.
- Compare the process of adding/subtracting fractions with common denominators versus different denominators.
- Construct a problem that requires multiple operations with rational numbers.
MOE Syllabus Outcomes
Suggested Methodologies
Ready to teach this topic?
Generate a complete, classroom-ready active learning mission in seconds.
Planning templates for Mathematics
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.
unit plannerMath Unit
Plan a multi-week math unit with conceptual coherence: from building number sense and procedural fluency to applying skills in context and developing mathematical reasoning across a connected sequence of lessons.
rubricMath Rubric
Build a math rubric that assesses problem-solving, mathematical reasoning, and communication alongside procedural accuracy, giving students feedback on how they think, not just whether they got the right answer.
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.
2 methodologies
Operations with Integers: Addition and Subtraction
Students will perform addition and subtraction of integers using number lines and conceptual models, understanding rules for signs.
2 methodologies
Operations with Integers: Multiplication and Division
Students will learn and apply the rules for multiplying and dividing integers, including understanding the impact of signs.
2 methodologies
Rational Numbers: Fractions and Decimals
Students will define rational numbers, convert between fractions and decimals, and compare and order them.
2 methodologies
Order of Operations (BODMAS/PEMDAS)
Students will apply the correct order of operations to solve complex numerical expressions involving various number types.
2 methodologies