Observe the non-linear distance–time graph of a rocket travelling at a changing velocity. Calculate the average and instantaneous velocity of the rocket over different time intervals. Notice how as each time interval becomes smaller, the rocket's average velocity approaches its instantaneous velocity. Use the slider to change the points where the secant intersects the curve and observe the gradient calculator. Work out the relationship between average and instantaneous velocities and the gradients of secants and tangents. This learning object is one in a series of ten objects. Some objects in the series are also packaged as combined learning objects.
Objective
Students identify that a non-linear function produces a curved graph.
Students apply the concept of a limit in the context of the rate of change of a non-linear function.
Students interpret the gradient of the tangent to a curve as being the rate of change of the function.
Students apply the first principles method to differentiate basic polynomial functions.
Curriculum Information
Education Type
K to 12
Grade Level
Grade 8, Grade 9, Grade 10
Learning Area
Mathematics
Content/Topic
Patterns and Algebra
Patterns and algebra
Intended Users
Learners, Students
Competencies
Copyright Information
Copyright
Yes
Copyright Owner
Education Sevices Australia
Conditions of Use
Use
Technical Information
File Size
0 bytes
File Type
application/x-rar
Software/Plug-in Requirements
Adobe Flash Player - http://get.adobe.com/flashplayer/
