Derivatives Self-Checking Practice -Task Cards(4 tasks per card)+full solutions

This is an engaging and self-checking derivatives practice - 8 (black kitten and pumpkin- themed) task cards each containing 4 tasks/problems. On each card is given a function.

CARDS 1- 4, 7, 8

Students are asked to

• find the first derivative (1 task)
• find the second derivative (2 task)
• compute first and second derivatives at given points and then substitute the values in a given equality to verify it (3 task)
• prove that the given function satisfy a given first or second - order differential equations (4 task)

Students do NOT need to solve the differential equations! They only substitute in them.

CARDS 5 and 6 require finding the first, second, third and forth derivatives. Students calculate derivatives at given points and show that a given equality is true. Then they prove that the given functions satisfy third and fourth – order differential equations.

Students can use the cards working in groups of 2 and/or 4.

The cards can be also used as an independent practice. The teacher or the student can choose which problems of each card to be solved like 1a, 2b, 3a, 4c, 5d…etc.

Student recording sheets and detailed answer keys/solutions (handwriten clearly) are included.