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Properties of Fractals
Students 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 trial...
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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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Completing the Square Lesson Plan
Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
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Calculating Range for a Constant Velocity
Students read an explanation from the NASA Web-based "textbook", The Beginner's Guide to Aerodynamics, then use the information in combination with data from other Web sites to solve single variable equations for distance (range), time,...
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Introduction to Economics
Students develop the concept of supply and demand. In this economics lesson, students listen to a lecture and take notes on supply and demand. Students create a coherent set of notes about supply and demand.
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Lift/Velocity Relationship Problem Set
Students, after reading an explanation from a NASA Web-based textbook, demonstrate their ability to use, graph (using a graphing calculator), and interpret a text equation.
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Basketball Caps
Young scholars work on a problem, individually or in pairs. They are asked questions that focus on average. They discus that the average number represents an equal redistribution , rather than just being able to state the rule. They...
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Graphing Review
Young scholars review the principles of graphing linear functions. They discuss plotting points on a coordinate plane, solving using a table, and then graphing. Students solve problems and determine the slope of the line, y-intercept...
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Perimeters, Patterns, and Conjectures
Learners discover patterns and write conjectures relating to perimeters and polygons. Working in cooperative learning groups, they use manipulatives and graphic organizers to solve problems then answer a series of questions in which they...
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Pythagorean Theorem
Young scholars solve right triangles using the Pythagorean Theorem. For this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Young scholars find the hypotenuse...
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Carpet
Students complete activities for geometric shapes and multiplication. In this multiplication lesson, students watch a video about carpets and square foot multiplication problems. Students then work in pairs to solve the main problem in...
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Firewood Problem
Students write and solve their own story problems. They determine the cost of firewood by the cord. They organize their data in graphs and charts.
Pennsylvania Department of Education
Links Away: Looking Back and Moving Forward
Students explore fact families. In this math lesson, students use links to model a fact family. Students solve addition and subtraction problems.
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Buying My First Car
Students pretend they are about to buy their first new car. They must do all the calculations necessary to estimate the cost of purchasing the car. They see that the math they learn in school really does have real-life applications.
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How Many Months?
Students investigate the first Peter the Mint Eagle, who lived at the Philadelphia Mint from 1830 to 1836. They determine how many months Peter was there and use pictures, numbers, equations, and/or words to explain how they came up with...
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Percentages: Fractions To Percent
For this percentages worksheet, students write eighteen fractions as percentages. Students problem solve each fraction as a percentage.
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Addition and Subtraction of Signed Numbers
Pupils explore the concept of adding and subtracting using positive and negative numbers. In this addition and subtraction of signed numbers lesson plan, students use pennies to represent positive and negative numbers. Pupils deposit and...
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Making Rectangles
Learners study rectangles. In this math instructional activity, students use numbers, measurements and geometry to draw rectangles of varying sizes.
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The Mandelbrot Set
Students 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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Topic 5: Running the Business
Young scholars explore the concept of running a business. In this running a business lesson, students put their plan of action into practice. Young scholars market a product and try to maximize profit.
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Minimize Perimeter
Middle schoolers practice calculating the perimeter of different sized rectangles. Individually, they identify the derivations of a function that can show the perimeter and determine how to minimize the perimeter within a fixed area....
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You Gotta Have Heart
Ninth graders investigate the concept of relations and interpret graphs and tables. They analyze given data and look for a pattern to determine if the numbers represent a function. Students practice solving scientific word problems that...
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Chaos and Fractal Applications
Eighth graders identify the different applications of fractals. In this math lesson, 8th graders use graphing calculator to solve algorithms. They explain how changing parameters and initial conditions affect the solutions.
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High School Mathematics Problems from Alaska:Cutting Cordwood
High schoolers solve problems and answer questions about two young men attemtping to earn money by cutting cords of wood.