Curated OER
Mapping Data Made Manageable
Students explore how to select unbiased random samples as they choose report data to include on maps. They propose methods for choosing random numbers and discuss their advantages and disadvantages. They consider bias in science.
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Collision Course
Students measure the speed of moving marbles and use the results to calculate velocity and momentum. They analyze the events preceding a Japanese train crash.
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Do You Feel Lucky?
Young scholars calculate simple probabilities using mathematics then roll dice to test their predictions.
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2, 4, 6, 8 . . .What Do We Appreciate-Patterns, Patterns, Patterns
Students recognize patterns in a numerical sequence, create new patterns and predict outcomes to established sequences.
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How Old Did You Say?
Second graders explore and develop algebraic formulas based on their own ages as the known variable. This is a clever, and simple, way to introduce the concept of algebra to young students.
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Prime Real Estate
Students analyze and discuss prime numbers and the Sieve of Eratosthenes, a procedure to sort out prime numbers. They identify the prime numbers from 1-100 by eliminating all the multiples of the first four prime numbers, and circle what...
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The King's Slice
Students participate in an experiment involving the square root of two. They use different methods to solve the problem.
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Geometry In the Yard
Students are responsible for creating a border around a triangular garden spot, of which they know the measurements for two sides. They use the Pythagorean Theorem to calculate the third side and complete the garden.
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ExplorA-Pond:4th Grade Surface Area
Fourth graders estimate the surface area of a pond using the chance method and the estimation method. They complete a graph and a short report comparing the results of the two methods.
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Time Travel, Black Holes, and Relativity
Young scholars read the novel, The Time Machine, and compare H.G. Well's perceptions of the future with those presented in The Third Wave, by Alvin Toffler. They research current scientific and mathematical theories that relate to space...
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Time Travel
Students investigate the concept of time travel and quantum physics. They complete a Webquest, read excerpts from the book, 'The Time Machine,' play an online time traveler game, and read and evaluate newspaper articles about time.
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Hotel Infinity
Students investigate the concept of infinity. They read a story, discuss the concept of infinity from the story, and create an illustration of the hotel described in the story.
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Plenty of Pythagoras
Using a twelve foot knotted rope, students form a 3-4-5 right triangle. Following a discussion of observations about the lengths of the sides of the triangle, students use grid paper, scissors and a centimeter ruler to draw and measure...
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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Cartesian Coordinate System
Students explore the Cartesian coordinate plane and plot points on the graph. They interpret coordinates for a point from the graph and give the ratio of rise over run for slope.
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Adding Two Digit Numbers with Using Dimes and Pennies
Second graders participate in a math game using dimes and pennies. They practice combining coins to make a given amount of money, and they use the combinations to practice adding two digit numbers. Teacher assessment strategies and...
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Fractals Forever or Obvious and Hidden Order
High schoolers discuss ways computers use properties of similar figures to generate scale models and create scenes. they describe patterns they have seen on a fern, pineapple, or pinecone. Students research Benoit mandebrot, H. von Koch...
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Pattern Makers
Students are introduced to the notion of a repeating pattern. This is done by a number of means including the use of everyday objects. They are encouraged to create, describe and continue patterns.
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Shapes with Sticks
Third graders investigate three dimensional shapes. They examine a variety of shapes and the relationship between the number of faces, edges, and vertices. Students determine Euler's formula and they create a variety of three dimensional...
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Scale Factors for Areas and Volumes
Learners examine mathematical questions. They examine how to tackle mathematical questions and discover the effect of a change in length on area and volume. They examine the consequences of the physical properties sea animals on heat...
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X Marks the Spot
Fourth graders use games and puzzles to explore co-ordinate systems and their uses. Students are given the opportunity to invent their own systems by locating counters on a sheet of paper and by finding the dead center of a set of objects.
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Consecutive Numbers
Like all of the Problem Solving units, this one aims to introduce pupils to the underlying ideas of mathematics through a problem. The problem here requires a knowledge of arithmetic and the use of some algebra. In this unit we see how a...
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Six Circles
Students develop the skills of problem solving through looking at situations mathematically. The lesson introduces students to the concepts of theorems and proofs as part of how one looks at mathematical problems.
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Rolling Marbles
Students develop and use problem solving strategies to mathematically solve a word problem involving marbles. They solve the first part of the problem together as a class, and in small groups solve and write a solution for the problem...
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