This set of 24 task cards can be used to review for an end of a unit on the Mean Value Theorem, for an end of the year calculus exam or for the Calculus AB exam.
The questions have the students work with the Mean Value Theorem analytically, graphically, verbally, and numerically through tables.
The cards are divided into six sets of four cards. There is a different focus on each of the six sets and each set in printed on a different color:
• Set 1 (light pink)poses questions where students are required to explain why the MVT can or cannot be applied in the described situation.
• Set 2 (light blue) presents questions which have the students deal with the MVT analytically or algebraically.
• Set 3 (light green) presents questions which have the students think about the MVT graphically.
• Set 4 (pink) presents questions which have the students think how they can apply the MVT to information about a function that has been presented in tabular form.
• Set 5 (light brown) and 6 (tan) present problems that have the students applying the MVT.
There are many ways these task cards can be used in a classroom setting.
• The cards can be set up in six stations and students can be asked to complete 1, 2, 3, or all 4 in each set. Students could complete more cards if they are having difficulty with that set or do less if the concept is easy for them.
• You could break the students into 4 groups and give each group one card from each set. Each group of students could complete a presentation to make the class about their eight cards.
• You can select only certain sets to use for a review.
These questions will help the students prepare for questions they will be asked on the AP Calculus test. The questions have been modeled after questions used on AP practice exams.
A complete set of solutions is included with the cards. On the solution key you will find the topic for the set identified, the questions written out, and the full solution given.
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