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\n\n38\nItems in Assessment Set\n\n
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\n\"Balanced\n\n
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\nLesson Planet Curated\n
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\nBalanced Assessment: Advanced High School Math Packet\n

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\n\nFor Teachers\n\n11th - 12th\n\nStandards\n
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\nNineteen resources make up the Balanced Assessment: Advanced High School Math Packet designed to test learners' knowledge in Algebra II, Geometry, and Pre-Calculus classes. To demonstrate their understanding of concepts related to these...\n
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Interactive
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\n\"Limit\n\n
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\nCK-12 Foundation\n
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\nLimit of a Sequence: Finding the Limit of a Sequence (Part 4)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nTake a look at another alternating sequence. The resource provides a graphical display of a sequence that alternates between two values. Pupils use the display to determine whether the sequence has a limit. Given a theory of limit,...\n
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Interactive
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\n\"Arithmetic\n\n
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\nCK-12 Foundation\n
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\nArithmetic Sequences: Paying of a Loan\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nHow long does it take to pay off a loan? Pupils use a graph to model the sequence associated with paying off a loan. Using the graph, learners determine the initial value and the common difference of the arithmetic sequence. The learners...\n
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eBook
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\n\"Introduction\n\n
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\nOld Dominion University\n
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\nIntroduction to Calculus\n

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\n\nFor Teachers\n\n11th - Higher Ed\n\nStandards\n
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\nThis heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...\n
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\n\nGet Free Access\n\nSee Review\n
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Handout
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\n\"Math\n\n
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\nCurated OER\n
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\nMath Handbook: Calculus\n

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\n\nFor Students\n\n10th - 12th\n
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\nIf only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...\n
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Lesson Plan
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\n\"Integer\n\n
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\nEngageNY\n
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\nInteger Sequences—Should You Believe in Patterns?\n

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\n\nFor Students\n\n9th - 10th\n\nStandards\n
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\nHelp your class discover possible patterns in a sequence of numbers and then write an equation with a lesson that covers sequence notation and function notation. Graphs are used to represent the number patterns.\n
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Interactive
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\n\"Sequence:\n\n
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\nCK-12 Foundation\n
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\nSequence: The Sequence Calculator\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nWork through a sequence in discovering number patterns. Using the interactive, pupils explore arithmetic and geometric sequences by setting the initial value and the common difference or ratio. Learners distinguish between the two types...\n
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Interactive
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\n\"Limit\n\n
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\nCK-12 Foundation\n
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\nLimit of a Sequence: Finding the Limit of a Sequence (Part 3)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nLimit the view of sequences on both sides of the axis. Learners explore an alternating sign sequence. Using a graphical display of the first 10 terms of the sequence, pupils determine the formula for the general term. they then use the...\n
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Interactive
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\n\"Limit\n\n
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\nCK-12 Foundation\n
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\nLimit of a Sequence: Finding the Limit of a Sequence (Part 1)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nPut a squeeze on a sequence. An interactive provides a graphical display of a sequence. Using the graph, learners determine the algebraic expression for the sequence. Pupils use the general definition of a limit of a sequence to find the...\n
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Interactive
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\n\"Limit\n\n
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\nCK-12 Foundation\n
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\nLimit of a Sequence: Finding the Limit of a Sequence (Part 2)\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nWhat does it mean if young mathematicians cannot put the squeeze on a sequence? Learners investigate a divergent sequence and find the formula for the nth term. Using the definition of a limit of a sequence, pupils try to find the limit...\n
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\n\"Explicit\n\n
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\nCK-12 Foundation\n
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\nExplicit Formulas: Tiles for Writing nth Term in a Sequence\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nBuild an explicit formula using tiles. Pupils develop a tile representation of a term within a sequence given figures of previous terms. Using the diagrams, learners develop the explicit formula by recognizing the common difference 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 2\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nDelve into the middle of calculus. The resource is the second eBook of three that covers the complete calculus content. Seven chapters begin with integrals and different methods of integration before moving on to differential equations....\n
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eBook
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\n\"Calculus\n\n
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\nWhitman College\n
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\nCalculus\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nEverything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. \n
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\n\nGet Free Access\n\nSee Review\n
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Lesson Plan
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\n\"Sequences\n\n
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\nCurated OER\n
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\nSequences\n

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\n\nFor Teachers\n\n9th - 12th\n\nStandards\n
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\nStudents solve problems using the TI. In this calculus lesson, students evaluate functions using sequences. They graph the functions on the TI and make observations.\n
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Lesson Plan
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\n\"Limit\n\n
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\nCurated OER\n
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\nLimit of a Sequence\n

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\n\nFor Teachers\n\n10th - 12th\n\nStandards\n
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\nYoung scholars solve problems using limits in this calculus lesson. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.\n
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Interactive
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\n\"Recursive\n\n
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\nCK-12 Foundation\n
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\nRecursive Formulas: Fibonacci Sequence\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nExplore the building blocks of the Fibonacci Sequence. Given the lengths of sides of squares, pupils deduce the pattern to determine the lengths of two more squares. Learners continue to work with recursive formulas to generate numerical...\n
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Worksheet
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\n\"Building\n\n
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\nShmoop\n
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\nBuilding Functions Worksheet 2\n

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\n\nFor Students\n\n9th - 12th\n\nStandards\n
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\nIf your test scores go up five points every problem you complete on this activity, is that an arithmetic or geometric sequence? Learners practice through four straightforward sequence questions and then finish with six word problems and...\n
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Interactive
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\n\"Geometric\n\n
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\nCK-12 Foundation\n
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\nGeometric Sequences: Bacteria Colony\n

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\n\nFor Students\n\n11th - Higher Ed\n\nStandards\n
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\nShow budding mathematicians how to model a diminishing bacteria colony two ways—graphically and algebraically. Using the coordinate axis, pupils create a graph to represent the decay of a bacteria colony. They determine the number of...\n
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Interactive
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\n\"Sequence\n\n
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\nCK-12 Foundation\n
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\nSequence of Partial Sums: Partial Sums\n

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\n\nFor Students\n\n11th - Higher Ed\n
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\nHave some fun building squares out of triangles. Pupils investigate the partial sums of odd numbers. Using the sum of the first four odd numbers, learners see that it can be rewritten as a sum containing a triangular number. Simplifying...\n
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Worksheet
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\n\"College\n\n
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\nCurated OER\n
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\nCollege Calculus\n

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\n\nFor Students\n\nHigher Ed\n
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\nIn this college level Calculus worksheet, students examine sequences to determine if they are increasing, decreasing, or non monotonic.  Students find the sum of series and determine if they diverge.   The one page...\n
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\n\"Converge\n\n
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\nCurated OER\n
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\nConverge or Diverge?\n

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\n\nFor Teachers\n\n11th - 12th\n
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\nStudents prepare for the calculus concepts of limits by examining sequences that converge and diverge. By using an Excel program that generates sequences, students manipulate the starting number, multiplier and add-on values, and examine...\n
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Lesson Plan
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\n\"Introduction\n\n
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\nCurated OER\n
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\nIntroduction to Limits\n

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\n\nFor Teachers\n\n9th - 12th\n
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\nHigh schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...\n
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Unit Plan
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\n\"Module\n\n
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\nMathematics Vision Project\n
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\nModule 4: Linear and Exponential Functions\n

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\n\nFor Teachers\n\n8th - 10th\n\nStandards\n
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\nSequences and series are traditionally thought of as topics for the pre-calculus or calculus class, when learners are figuring out how to develop limits. But this unit uses patterns and slopes of linear functions in unique ways...\n
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eBook
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\n\"Algebra\n\n
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\nRice University\n
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\nAlgebra and Trigonometry\n

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\n\nFor Students\n\n10th - Higher Ed\n\nStandards\n
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\nMove on into trigonometry. An informative eBook takes the content of a College Algebra course and adds more relating to trigonometry and trigonometric functions. The content organization allows pupils to build upon their learning by...\n
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