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AP Test Prep
College Board

2009 AP® Calculus BC Free-Response Questions

For Students 10th - 12th
Dive into the exam review. Pupils use questions, including one about diving into a pool, to prepare for the AP® Calculus BC exam. Items include contextual and non-contextual questions with contextual examples requiring a calculator....
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Mystery Numbers

For Students 6th - 7th
In this mystery numbers worksheet, students solve 4 different word problems that include guessing numbers described. First, they determine a two digit number that has the sum equal to 6. Then, students determine a two digit number that...
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Lesson Plan
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Perimeter Play

For Teachers 5th
Fifth graders identify that the perimeter of a shape is the sum of its sides. Students cut some string or rope to make the sides of a rectangle. Students write the measurement of the length of the rectangle and the measurement of the...
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Lesson Plan
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Tennis Ball Addition

For Teachers 2nd
Second graders practice their addition basic facts. They work in groups of three with one tennis ball or Koosh ball. Students call out a number one at a time and passes the tennis ball to another. The third student adds the two numbers...
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Can You Guess

For Teachers 2nd - 3rd
Learners develop useful strategies for mental calculation when estimating possible addition solutions. They mentally perform calculations involving addition and subtraction. Students state the estimated sum or difference between numbers.
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Worksheet
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Angles in Polygons

For Students 10th
For this geometry worksheet, 10th graders solve problems involving quadrilaterals using the angle sum of quadrilaterals. They solve for linear pairs, opposite angle theorem and triangular angles. There are 5 questions.
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Lesson Plan
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Infinity

For Teachers 11th - 12th
Students determine the sum of an infinite geometric series.  In this determining the sum of an infinite geometric series lesson, students discuss how the sum of an infinite geometric series is a paradox.  Students use the sum of an...
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Multiplication of Decimals

For Students 7th - 8th
In this multiplication of decimals worksheet, learners solve and complete 33 various types of problems. First, they find the missing number for each sum marked. Then, students use Egyptian multiplication to find the sums for each...
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Infinite Geometric Series

For Students 11th
In this infinite geometric series worksheet, 11th graders solve and complete 33 various types of problems. First, they find the sum of the infinite geometric series for each of the given. Then, students find the range of values for each...
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Worksheet
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Radical Expressions: Add and Subtract

For Students 9th - 12th
In this radicals instructional activity, students simplify the sum or difference of radical expressions. There are 11 multiple choice questions.
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Lesson Plan
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Exploring Infinite Series through Baravelle Spirals

For Teachers 9th - 12th
High schoolers are introduced to the concept of convergent infinite series using a recursive geometric construction. They explore the concept of a convergent infinite series using partial sums. Students use formal calculations,...
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Worksheet
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Shapes and Designs

For Students 10th
In this shapes and designs worksheet, 10th graders solve and complete 6 different types of problems. First, they fill in the first two columns of the table show with their shapes. Then, students measure the interior angles of each...
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Worksheet
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Addition Exercises

For Students 2nd - 3rd
In this finding the sums word problem worksheet, students read the word problems and write the expressions, or number sentences, for each problem. Students solve five problems.
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Vectors

For Students 11th
In this Algebra II worksheet, 11th graders find the sum of a pair of vectors.  The two page worksheet contains a combination of nine multiple choice and free response questions.  Answers are included. 
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Lesson Plan
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Exploring Characteristics of Triangles

For Teachers 9th - 11th
Young scholars draw triangles and explore the classification of each using the measures of interior angles and lengths of sides. They investigate the sum of the interior angles of various triangles and conjecture and prove the theorem:...
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Sigma Notation and Series

For Students 11th
In this sigma notation and series instructional activity, 11th graders identify and complete 10 different problems that include determining the sigma notation and series of each problem. First, they determine the sequence in each given a...
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Worksheet
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Trig Functions

For Students 11th - 12th
In this trig functions worksheet, students solve and complete 24 different types of problems. First, they find the limits for each trig function given. Then, students find xso that the given infinities series converges. They also find...
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Worksheet
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Challenge: Seven Triangles - Division Word Problems

For Students 4th - 7th
In this division activity, students solve 6 division word problems. Students write the answer to each problem in a triangle labeled with the number that corresponds to the number of each word problem.  Students then add up the sum of all...
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Lesson Plan
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Interior/Exterior Polygon Angles and Tessellations

For Teachers 9th - 11th
Students discover the sum of the interior and exterior angles of several polygons. In this Geometers sketchpad lesson, students work in groups to find the stated measurements of triangles, quadrilaterals, pentagons and hexagons. Students...
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Worksheet
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2.1 Arithmetic Series

For Students 9th - 12th
In this arithmetic series worksheet, students solve 30 short answer problems. Students find the sum of a given arithmetic series. Students find arithmetic means between two terms in an arithmetic sequence.
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Lesson Plan
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Area Under A Curve

For Teachers 9th - 11th
Calculus students use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal rules...
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Lesson Plan
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Around The Stop Sign

For Teachers 6th - 12th
Students analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
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Lesson Plan
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Grade 3: Make a Hundred

For Teachers 3rd
Third graders roll a die seven times, each time determining whether to add that number of tens or that number of ones to try to make a sum as close to 100 as possible without going over.
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Lesson Plan
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Reader's Rabbit Math

For Teachers K - 3rd
Learners are able to use the Fishing for Numbers game in Reader Rabbit's Math. They are able to select two addends that sum to the given number between 1 and 12. Students work in pairs and go to the computer stations and complete at...

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