Introduction to Quadratic Functions
Defining quadratic functions and exploring their basic properties, including vertex, axis of symmetry, and intercepts.
About This Topic
Defining quadratic functions and exploring their basic properties, including vertex, axis of symmetry, and intercepts.
Key Questions
- Explain how the standard form of a quadratic function reveals its key graphical features.
- Analyze the impact of the leading coefficient on the concavity and stretch of a parabola.
- Predict the number of x-intercepts based on the graph of a quadratic function.
Active Learning Ideas
See all activities→Activities & Teaching Strategies
See all activities
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 Foundations and Quadratics
Review of Algebraic Expressions and Operations
Revisiting fundamental algebraic operations including addition, subtraction, multiplication, and division of polynomials.
8 methodologies
Polynomial Arithmetic and Expansion
Mastering the distribution of terms and the factorization of complex expressions to simplify mathematical models.
8 methodologies
Factoring Polynomials: Advanced Techniques
Exploring various methods for factoring polynomials, including grouping, difference of squares, and sum/difference of cubes.
8 methodologies
Rational Expressions and Equations
Simplifying, multiplying, dividing, adding, and subtracting rational expressions, and solving rational equations.
8 methodologies
Quadratic Functions and Graphs
Analyzing the geometric properties of parabolas and their relationship to quadratic equations.
8 methodologies
Solving Quadratic Equations by Factoring
Applying factoring techniques to find the roots or zeros of quadratic equations.
8 methodologies