Operations with Real Numbers
Performing addition, subtraction, multiplication, and division with real numbers, including those involving radicals.
About This Topic
Performing addition, subtraction, multiplication, and division with real numbers, including those involving radicals.
Key Questions
- Compare the properties of operations with rational and irrational numbers.
- Explain why the sum of a rational and an irrational number is always irrational.
- Predict when the product of two irrational numbers might result in a rational number.
Active Learning Ideas
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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.
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