EXPLORING QUADRATIC FUNCTION
Feedback:
How's your thought about our class today? Let me know your feedback.
Learning Objectives:
- Identify the Definition of Quadratic Function: Students are expected to understand the definition and basic concepts of quadratic functions through interactive exploration in GeoGebra.
- Explaining the Relationship of Coefficients to Graphs: Students will learn how the coefficients in the quadratic equation (a, b, ) and (c) affect the shape and position of the graph of a quadratic function. Using Tables to Determine Function Values: Through GeoGebra, students can learn how to determine the value of a quadratic function by using a table of values.
- Drawing Graphs of Quadratic Functions: Students will be trained to draw the graph of a quadratic function accurately using GeoGebra features.
- Understanding Properties of Graphs of Quadratic Functions: Students will investigate how changes in coefficient values affect the properties of the graph, such as curvature, axis of symmetry, and vertex.
- Applying Concepts in Problem Solving: Students will use GeoGebra to apply quadratic function concepts in solving math problems related to real or theoretical situations.
- Developing Critical Thinking Skills: With GeoGebra, students are expected to think critically in distinguishing between quadratic and non-squared functions and understanding their characteristics.
- Collaboration and Discussion: Students will work together in groups to discuss and present their findings related to quadratic functions, strengthening their collaborative and communication skills.
- Using Innovative Learning Media: GeoGebra as an interactive learning media will help students to be more engaged and motivated in learning math.
Activity Instructions:
1. Understand the qudratic function material provided
2. Watch the applet and answer the questions provided
3. Direct observation with illustrations using your Ideas
4. Practice by answering the questions provided
5. Give criticism and suggestions related to today's learning
6. Understand the references as a form of learning
What are quadratic function?
A quadratic function is represented by the standard form,
Condition and Term:
In order for such an equation to be a quadratic function, and not a linear one, we must have that the coefficient a is not equal to zero; i.e. a ≠ 0
The graph of a quadratic function is a parabola
The larger the absolute value of a is, the thinner the shape of the parabola becomes. The smaller the absolute value, the wider the parabola becomes
The coefficient a is also an indicator of the direction of the shape of the parabola
If the value of a is positive, the parabola opens upwards. If the value of a is negative, the parabola opens downwards
Additional
Graph linear and quadratic functions and show intercepts, maxima and minima
Quadratic Function Characteristics:
How to formulate?
Video of the material:
Example:
a=-1, b=10, c=9
Draw the shape of the graph! Analyze how the graph changes as you move the sliders!
Find the x-intercepts of the quadratic function!
Discover where the y-intercept, vertex and axis of symmetry lie on the graph!
After looking at the example problem above along with the applet, now it's time for you to try doing it yourself.
a=7, b=5, c=3
Draw the shape of the graph! Analyze how the graph changes as you move the sliders!
Find the x-intercepts of the quadratic function!
Discover where the y-intercept, vertex and axis of symmetry lie on the graph!
Multiple Choices
Which of the following are the x-intercepts of the quadratic function from second applet graph?
Essay:
Where the y-intercept, vertex and axis of symmetry lie on the third applet graph?
Reference
Reflection:
Share yout thought about this activity!