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Linear Functions
Students solve and graph linear equations. In this algebra instructional activity, students collect data and plot it to create a linear function. They identify the domain and range of each line.
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Polygon Sum Conjecture
Students calculate the sum of the angles of a polygon. For this geometry lesson, students use the interior angle formula of polygon based on the number of sides of the polygon. They identify the missing angle using algebra.
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Engaging Students with the History of Time
Researching the history of calendars and time-keeping devices can help students make sense of time measurement.
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Using Representations to Model Problems
student make predictions or draw conclusions based on physical and visual representations of profit and sales. They model problems with physical materials and visual representations, and use models, graphs and tables to draw conclusions...
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Counting Pills
Students are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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Looking For Triangles
Learners solve problems with triangles. In this geometry instructional activity, students analyze shapes to find different triangles. They name the shapes created by putting triangles together.
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Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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CHAOS AND COMPUTERS
Learners discuss the Chaos Theory and how it came into existence.They observe order and compare it to the randomness of chaos. The lesson plan features the playing of a game to reinforce concepts.
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Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
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Triangular Numbers
Students are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Basic Crypto Systems
Students try to solve codes mathematically. The use of a code needs a key. Students try to decipher a code with a mathematical key. This requires focus and higher order thinking skills like analysis.
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The Farmer's Sheep
Students use problem solving skills, logical thinking, and their ability to work sequentially in order to solve an algebra problem. They listen to the problem read aloud by the teacher and devise a plan in order to solve the problem.
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The Topsy-Turvy Twins
Fourth graders read the problem and brainstorm for ways to solve the problem - list these on the board for the students to refer to as they solve the problem. They work in pairs and focus on the strategy selected.
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The Farmer's Sheep II
Fourth graders listen to the story of a farmer who only likes to be able to see nine sheet from his window. His wife has brought him another sheep - what now? They work together in pairs to solve the problem and share solutions.
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The Great Button Sort
Students practice figuring out how items have been sorted. They also sort buttons in small cooperative groups. They color and sort their own paper buttons and then give their button sort to another student to see if he or she can figure...
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You Can Count on Squares!
Fourth graders engage in and explore to develop mathematical, specifically algebraic, ideas. Although the tasks are built around measurement, they are algebraic to the extent that they require 'formulae' to be derived form the geometric...
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The Basketball Tournament
Young scholars estimate how many games are played if six teams play each other once. They investigate their own way and discuss possible strategies they might use. They then share their findings with the class.
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Darts Game
Third graders attempt to determine what the scores of the game in the problem could be. They work with basic multiplication facts to justify the solutions to a dart game and share all of the possible scores.
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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Young scholars build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by...
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The Mandelbrot Set
Young scholars explore the Mandelbrot Set. They are introduced to the concept of a complex number and function in order to motivate the discussion of Julia and Mandelbrot sets. Students investigate fractals and how they are built.
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Exploding Numbers
Students discuss how numbers increase when exponential growth is occurring. They view a video and compare exponential and linear growth with a graphing calculator.
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Tetrominoes Cover-Up
Third graders are given square tiles and participate in a demonstration on how to arrange them. Using the tiles, they work with a partner to discover how many two-dimensional tetrominoes they can create. To end the lesson, they must...
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The Demise of Copper's Trading Power
Eighth graders evaluate statistical equations. They examine data from archaeologists at Jamestown, complete statistical equations using the sets of data, and graph the results.