Real Numbers and Their Properties
Students classify and understand the properties of real numbers, including natural numbers, whole numbers, integers, rational, and irrational numbers.
Key Questions
- How do integers extend our understanding of numbers beyond whole numbers?
- What defines a rational number, and how does it differ from an irrational number?
- Why is it important to classify numbers into different sets?
MOE Syllabus Outcomes
Suggested Methodologies
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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.
More in Numbers to 1000 and Place Value
Comparing and Ordering Integers and Rational Numbers
Students compare and order integers and rational numbers, including fractions and decimals, using number lines and inequality symbols.
2 methodologies
Rounding and Significant Figures
Students learn to round numbers to a specified number of decimal places or significant figures, understanding the implications for precision.
2 methodologies
Number Sequences and General Term
Students identify patterns in number sequences and derive the general term (nth term) for linear sequences.
2 methodologies
Prime Numbers and Composite Numbers
Students define and identify prime and composite numbers, understanding their unique properties and role in number theory.
2 methodologies