The set of 32 task cards is divided into eight sets, each with a different emphasis. The cards illustrate all the ways the Riemann sum can be used in Calculus, Calculus AB, and Calculus BC.
In set 1 the students work with Riemann sums with tabular data.
In set 2 the students work with Riemann Sums with Graphical Data
In set 3 the students are asked to find Minimum and Maximum values for Riemann sums
In set 4 the students write Verbal Descriptions with Riemann sums. In all questions they must justify their answers.
In set 5 the students compare different Riemann sums
In set 6 the students write definite integrals for Riemann sums
In set 7 the students write trapezoidal approximations for bounded area.
In set 8 the students draw sketches for Riemann sums.
These are great cards to use to review the concept of using Riemann sums for the end of a unit on Riemann sums, use for review for a midterm in calculus, use for a review for a final exam in calculus and even use for a review the Calculus AP test.
There are many ways these cards can be used in a class of students.
• Eight stations could be set up and students could be assigned to complete 1, 2, 3, or 4 of the cards 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 1 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.
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