Factorisation of Quadratic Expressions (ax^2+bx+c)
Factoring quadratic expressions of the form ax^2+bx+c where a=1.
Key Questions
- How do we determine which method of factorisation is most appropriate for a given expression?
- Predict the factors of a quadratic expression by analyzing its coefficients.
- Explain the 'cross-method' for factorising quadratic expressions.
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 Algebraic Expansion and Factorisation
Review of Algebraic Basics
Revisiting fundamental algebraic operations, combining like terms, and the distributive law.
2 methodologies
Expansion of Single Brackets
Applying the distributive law to expand expressions with a single bracket.
2 methodologies
Expansion of Two Binomials
Using the distributive law (FOIL method) to expand products of two binomials.
2 methodologies
Special Algebraic Identities
Recognizing and applying special identities such as (a+b)^2, (a-b)^2, and (a^2-b^2).
2 methodologies
Factorisation by Taking Out Common Factors
Reversing the expansion process by identifying and extracting common factors from expressions.
2 methodologies