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2000 AP® Computer Science A Free-Response Questions
Coding works for other fields. The free-response questions for AP Computer science require pupils to develop code to solve a problem. Problems range from creating a histogram to developing an encryption program. Teachers use the...
Curated OER
Less is More: Realizing Mathematics Through Agriculture
Students study the architectural designs of different popular sites. In this math lesson, students draw a grid diagram. They explain what geodesic algorithms are used for.
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Multiplication Algorithm (1)
Third graders in a 3rd grade math class make connections from prior instruction and mastery to solve problems in new learning situations. Using logical thinking and prior knowledge to solve current math problems is the focus of this...
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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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4-Digit Problem Solving: Add and Subtract
In this problem solving worksheet, learners solve a total of 7 equations, drawing models and using algorithm. A reference web site for additional activities is given.
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Models for Dividing Fractions
Sixth graders represent division of fractions using manipulatives, such as freezer pops, candy bars, and models such as drawings squares. They develop an algorithm from these examples and solve problems using fractions.
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Sequence Alignment
Students explore the uses of sequence alignment. In this DNA lesson students complete several experiments on sequencing and algorithms.
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Predicting Lunar Eclipses
Students explore lunar eclipses and discover how to predict an eclipse the same way that ancient people did. They examine dates of recorded eclipses and find a pattern. Students apply an algorithm to the pattern.
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Numerical Analysis: Successive Intervals
In this successive interval worksheet, students find the approximation of a root, using the Bisection Algorithm. They identify intervals, and use algebraic manipulation to identify functions that have a fixed point.
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Where Math Meets Poetry
Students identify Fibonacci's sequence of numbers and use the pattern to write poetry with one syllable words. In this math and writing lesson, students identify Fibonacci's sequence of numbers and learn about this early mathematician....
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Numerical Analysis
In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.
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Introduction to Multiplication
Students construct equivalent sets, skip count by twos, threes, fours, etc., combine the sets, and finally, multiply simple numbers. Each student use candy to construct sets, write multiplication algorithms, and solve simple...
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Basic Arithmetic Worksheet .05
In this basic arithmetic worksheet, students solve problems using middle school mathematics skills. They identify the absolute value, and compute the sum, dividend, product and difference of integers. Finally, they convert units in...
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Simplifying Distribution Worksheet
In this simplifying distribution learning exercise, students solve problems with one variable using the distributive property. They place their answers in the answer box provided on the internet. Students are able to view step-by-step...
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Amazing Maze
In this literacy worksheet, students find their way through the maze that is generated using the DSF algorithm. The sheet is used as a teacher's guide.
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Linear - Quadratic Systems
In this quadratic system worksheet, students solve systems of linear equations. This one-page worksheet contains two story problems where students write their own system of equations and then solve. The remaining eight problems are...
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I.O.U.
Students explore adding and subtracting positive and negative numbers in the context of money. In this computation lesson, students use play money and IOU's to model various mathematical algorithms.
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What Is Perimeter?
In this geometry worksheet, students read the definition of and the algorithm for finding the perimeter of a rectangle. They find the perimeter of 8 rectangles before ordering 4 items from the greatest perimeter to the least.
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Adding and Subtracting Decimals
Fourth graders develop the concept of adding and subtracting decimals. In this decimal lesson, they participate in a teacher directed demonstration of how to add and subtract decimals. They work in teams as each person performs one step...
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Guess a Birthday
In this birthday worksheet, students perform given algorithms. Upon performing all problems correctly, the student's final answer will be his/her birthday. This one-page worksheet contains 8 problems.
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The Root is Right
Students find the roots of an equation. In this roots lesson, students define the bisection method algorithm used to find the roots of an equation. They identify the margin of error in this process.
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Photometry of Stars and Clusters
Students apply an algorithm to measure the distance to stars in the night sky. In this photometry lesson, students observe stars in the night sky as they measure the distance to them and to the cluster, The Milky Way. They apply the...
Super East Math
Long Division with Whole Numbers
Learning long division can be an difficult journey for young mathematicians, but this simple skills practice worksheet will help them on their way to fluency.
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Multiplication & Division
Helpful for building a multiplication unit that focuses on different strategies. With explanations about repeated addition and subtraction as foundations for multiplication, scaling, summaries of progression, and basic multiplication and...
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