College Board
2003 AP® Calculus BC Free-Response Questions Form B
Be integral to the learners in the classroom. Pupils use integrals, differentiation, and limits to solve the free-response questions from an AP® Calculus BC exam. Items cover topics such as area under a curve, particle motion, average...
Curated OER
Worksheet 30 - Definite Integrals
In this integral worksheet, students find the volume of solids, compute definite integrals, and identify the limit of the terms. This one-page worksheet contains 7 multi-step problems.
Curated OER
Addition
Those are some big addends! Challenge learners to find the sum of 16 equations, each of which has at least three addends. They are adding, two, three, and four-digit numbers here, and regrouping is a given. Two example problems offer...
Curated OER
Addition
Looking for addition drills for your scholars to practice adding one and two-digit numbers? You've found it! Mathematicians examine an example before finding the sum of 16 equations, each of which involves one 2-digit addend and one...
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Infinite Geometric Series
Eleventh graders investigate infinite geometric series. In this Algebra II lesson, 11th graders explore partial sums of geometric series, converging and diverging series, and sums of infinite geometric series. The TI-nspire handheld...
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Worksheet 8 - Spring 1996
For this math worksheet, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Curated OER
Math 155 Worksheet 11
In this college level calculus worksheet, students use Riemann Sums to evaluate the given integrals and compare the answer to the limit. The two page worksheet contains four problems. Answers are not provided.
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Finding Area Using Geometry, Integrals, and Riemann Sums
In this area activity, students calculate area in five problems using geometry and integrals and find patterns using Riemann sums in one problem.
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Lesson #110 Volumes of Solids of Revolution (Disk Method)
Students examine volumes of solids of revolution. In this volumes of solids of revolution lesson, students use the limit of a Riemann sum to find the volumes of disks or cylinders and a sphere.
Curated OER
Unit 2 Quantities Review
In this quantities in chemistry worksheet, students solve 13 review problems about percent composition, significant digits, the mole, simple and molecular formulas, balancing equations, stoichiometry, limiting reagents and percent yields.
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Lesson #94 Exact Area Under a Curve
Young scholars research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
DK Publishing
Adding Fractions
Fractions can be tricky, so be sure any independent practice worksheets you assign guide scholars through steps like this one. There are two examples showing mathematicians how to add fractions and reduce the answer to simplest terms....
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Tetrahedral Dice
Put those thinking hats on and look at all the possible outcomes from rolling two different four-sided dice. The challenge in this problem is finding all the combinations when adding and subtracting the numbers from each die and creating...
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Adding Decimals
Adding decimals can be simple; show scholars the practical uses of adding numbers with decimals as they add measurements and amounts of money. The first eight equations are written vertically with some sums requiring a dollar sign, some...
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Adding Decimals
Show scholars the practical uses of adding numbers with decimals as they add measurements and amounts of money. The first 12 equations are written vertically with half the sums requiring a dollar sign and half a unit of measurement. The...
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Adding Decimals
Get your mathematicians ready to add up restaurant tabs using decimal addition problems. Using two examples to guide their processing, they find the sum of eight vertically aligned number pairs, all of which have decimals. They complete...
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Adding Dice
Roll the dice! These addition number sentences are for beginning mathematicians, and each addend is displayed on a die. Learners add up two or three single-digit addends to find eight sums in the first half of this activity. Next, they...
DK Publishing
Fishing for 10
Young counters will enjoy this beginning addition activity; they get to color as they go! For each set of 10 fish they color some green and leave some white. Then, they fill in the blanks to create an addition sentence with the sum of...
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Multiplying by Two-Digit Numbers
What's the product? Scholars multiply two-digit numbers as they complete 16 multiplication drill equations. There are two examples which demonstrate how to solve these step-by-step. Learners must regroup and show work, as demonstrated in...
DK Publishing
Adding with 3-digit Numbers #2
These 25 addition problems each have two 3-digit addends, and many require regrouping. There are three examples to guide learners in all the types of problems they encounter, including the last set of five which have four-digit sums....
Curated OER
Fact Families - Part 3
These fact family equations need to be completed, and there are 56 here to give scholars plenty of practice! They write in sums and differences for eight 3-number fact families and four 2-number fact families. The problems are scaffolded...
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Finding 10s
For beginners to addition, sets of objects are the ideal way to make this concept understandable. For each of these sets they ring 10 and count the remaining. Then, scholars fill in the addends as 10 and the remaining number. The sums...
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Missing Addends
Where are all the addends? Addition novices solve 36 equations by filling in the single-digit addend to achieve the given sum. They reference several examples, each of which include object sets to help learners visualize the concept....
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More and Less
Mental mathematicians add and subtract 1, 10, and 100 from sets of numbers. Each set of one, two and three-digit numbers gives scholars a chance to practice their addition and subtraction skills. There are 62 whole numbers in all. What...