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Instructional Video5:38
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\n\"Approximating\n\n
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\nBrightstorm\n
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\nApproximating Area Using Rectangles\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nFinding area using rectangles—isn't that a little too simplistic for a calculus course? Viewers learn how to approximate area under a curve using rectangles in the first installment of a seven-part video series on the definite integral....\n
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Interactive
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\n\"Trapezoidal\n\n
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\nCK-12 Foundation\n
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\nTrapezoidal and Midpoint Approximations: Area of a Skirt\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nWhen are trapezoids better than rectangles? Using trapezoids pupils approximate the area of fabric defined by a function. Just like with rectangles, learners realize the more trapezoids the more accurate the approximation. Scholars use...\n
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AP Test Prep28:02
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\n\"Calculus\n\n
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\nFlipped Math\n
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\nCalculus AB/BC - Approximating Areas with Riemann Sums\n

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\n\nFor Students\n\n10th - 12th\n
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\nThere are several ways to estimate the area if the curve does not create nice geometric figures. The presenter introduces the idea of using areas of rectangles to estimate the area under the curve. Pupils use four types of Riemann Sums,...\n
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Lesson Plan
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\n\"InteGreat\n\n
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\nShodor Education Foundation\n
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\nInteGreat\n

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\n\nFor Teachers\n\n9th - Higher Ed\n\nStandards\n
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\nHands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...\n
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Lesson Plan
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\n\"Hit\n\n
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\nCurated OER\n
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\nHit The Road Jack(or Jill)\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nStudents find the approximate area of the court order on a current map of Delaware. They draw a layout of their school and decide where a new hallway or outside pathway would be most needed.\n
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Worksheet
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\n\"Circle\n\n
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\nCurated OER\n
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\nCircle Graphs\n

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\n\nFor Students\n\n8th - 9th\n
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\nIn this circle graphs worksheet, students solve 10 different problems that include reading various circle graphs. First, they use graph 1 to determine how many students preferred which sport. Then, students use graph 2 to determine the...\n
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Lesson Plan
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\n\"Lesson\n\n
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\nCurated OER\n
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\nLesson L - Hit The Road Jack (or Jill)\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nPupils discuss forms of transportation in Delaware during 18th Century, find approximate area of court order on current map of state, draw layout of their school, and decide where new hallway or outside pathway would be most needed.\n
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PPT
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\n\"Multiplication\n\n
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\nCurated OER\n
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\nMultiplication Facts up to 10 X 10\n

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\n\nFor Teachers\n\n4th - 5th\n
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\nHere is a presentation that's chock full of great tips on how to memorize multiplication facts, and how to calculate the area of shapes that aren't perfect squares or rectangles. Many good problems are in each of the slides. A great...\n
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PPT
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\n\"Year\n\n
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\nCurated OER\n
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\nYear 5, Term 2, Unit 7\n

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\n\nFor Teachers\n\n5th - 8th\n
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\nHere is a challenging presentation which should be tough for even your top math learners. In it, pupils view 86 slides which take them through many mathematical concepts such as doubling, halving, decimals, word problems, and converting...\n
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Lesson Plan
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\n\"How\n\n
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\nIllustrative Mathematics\n
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\nHow Many Leaves on a Tree? (Version 2)\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nA second attack at figuring out the number of leaves on a tree, this activity makes both an excellent follow-up to version 1 and a stand-alone activity. Learners practice setting parameters and deciding acceptable estimate precision, and...\n
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eBook
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\n\"Calculus\n\n
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\nRice University\n
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\nCalculus Volume 1\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDifferentiate between calculus concepts. The beginning of a helpful calculus resource begins with a short review of functions and moves right into limits to define derivatives. The six-chapter resource continues with applications of...\n
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Worksheet
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\n\"Chapter\n\n
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\nCurated OER\n
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\nChapter 8 Worksheet 3 Circumference & Area\n

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\n\nFor Students\n\n8th - 12th\n
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\nIn this circumference and area instructional activity, students determine the circumference and area of given circles. They find the area of shaded regions of circles and areas around circles. This two-page instructional activity...\n
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Worksheet
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\n\"Calculating\n\n
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\nCurated OER\n
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\nCalculating Total Radiation Dosages at Mars\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this Mars radiation learning exercise, learners use data from the Mars Radiation Environment Experiment to solve 4 problems. They determine the total radiation dosage during a specific period of time, they determine the dosage during...\n
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Lesson Plan
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\n\"Exploring\n\n
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\nCurated OER\n
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\nExploring the Area Under a Curve\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nUsing TI-89, mathematicians explore and investigate Riemann sums to estimate the area under the graphs of intervals by drawing and illustrating rectangles. They review and practice the concepts of summation notation and area formulas to...\n
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Worksheet
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\n\"Variables,\n\n
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\nCurated OER\n
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\nVariables, Formulas, Functions, Graphs and Linear Approximations\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this limitations of formulas worksheet, students answer four essay questions about functions. Two questions refer to the limitations of formulas. They graph one function and explain how it specifies the rule of the function.\n
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Interactive
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\n\"SAT\n\n
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\nCurated OER\n
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\nSAT problem solving practice test\n

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\n\nFor Students\n\n9th - 12th\n
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\nIn this online, interactive instructional activity (7), students complete ten problems in 12 minutes to help prepare then to take the SATs. The problems vary in difficulty and content.\n
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Worksheet
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\n\"Bermuda\n\n
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\nCurated OER\n
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\nBermuda Triangle: Map Activity\n

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\n\nFor Students\n\n4th - 5th\n
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\nIn this Bermuda triangle worksheet, learners complete a set of 4 questions using a given map of the Bermuda triangle. Answers are included on page 2.\n
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Lesson Plan
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\n\"Soil\n\n
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\nCurated OER\n
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\nSoil Composition: Then and Now\n

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\n\nFor Teachers\n\n2nd - 4th\n
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\nYoung scholars identify the location of their school from a 1926 digitized Soil Sample map. Using remaining landforms, they determine the type of soil identified during that time, and compare it to the soil currently found near the school.\n
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Worksheet
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\n\"Note-Taking\n\n
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\nCurated OER\n
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\nNote-Taking Handout 1: Sahara Desert\n

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\n\nFor Students\n\n7th - 9th\n
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\nIn this research skills worksheet, students collect information about the desert regions, savanna regions, and rainforest regions of Africa and then respond to 7 questions about each of the regions. Students then compare the regions...\n
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Lesson Plan
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\n\"Square\n\n
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\nCurated OER\n
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\nSquare Circles\n

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\n\nFor Teachers\n\n6th - 7th\n
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\nLearners analyze and demonstrate how a circle can be measured in square units and examine how diameter, circumference and radius are related.\n
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Lesson Plan
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\n\"Scenes\n\n
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\nCurated OER\n
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\nScenes of the Earth\n

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\n\nFor Teachers\n\n4th - 6th\n
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\nStudents examine and study how changes in perspective can change the way that they can observe objects. They explore the relationship between a scene's area and its detail. Each student looks at the ground through cardboard tubes from...\n
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Activity
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\n\"University\n\n
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\nUniversity of Notre Dame\n
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\nUniversity of Notre Dame: Approximating Area Under a Curve With Rectangles\n

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\n\nFor Students\n\n10th - 12th\n
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\nPDF of examples for finding the area under a curve using rectangles.\n
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Handout
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\n\"Nat.\n\n
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\nNational Snow and Ice Data Center\n
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\nNat. Snow and Ice Data Center: All About Glaciers: Where Are Glaciers Located?\n

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\n\nFor Students\n\n9th - 10th\n
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\nExplains where glaciers can be found and what conditions are needed for them to exist. Includes a table showing where glaciers can be found around the world and the approximate areas. These figures were, however, from 2008.\n
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Graphic
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\n\"Map\n\n
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\nCurated OER\n
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\nMap Showing Approximate Area Where Shuttle Debris Has Come Down\n

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\n\nFor Students\n\n9th - 10th\n
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\nIn this detailed report, the BBC explores the Space Shuttle Columbia disaster. There is interactive media, video of the break up, and biographical information.\n
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