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Mathematics Within: Algebraic Patterns
Students discover patterns in linear equations by playing a dice game to collect data. They graph the data and analyze the patterns of the lines created by the data. The class then compares the individual graphs to evaluate the position...
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SkyHighScrapers
Students investigate quadratic functions. In this Algebra I/Algebra II lesson, students determine the equation of a quadratic function that closely matches a set of points. Students investigate the necessary information that would...
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Number Line Math
Second graders use a number line to practice subtraction. In this subtraction lesson, 2nd graders use a number line to count backwards. Students participate in mad math activities and solve problems.
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Mach Number Problem Set
High schoolers read a textbook about aerodynamics. They find out the definition of Mach number. They complete problems designed to demonstrate their ability to solve Mach number equations.
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Maximum Flight Time
Students, after reading an explanation from a NASA Web site, demonstrate an understanding of the text by applying it to questions involving Maximum Flight Time and Range under varying conditions.
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Lift Equation Problem Set
Learners, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by using it, along with FoilSim, to complete an activity to graph and interpret the lift equation.
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Marcy's Dots
Students identify the pattern changes that could occur in a series using pictures with dots. They use the patterns on the worksheets to have a context to describe pattern in words. Students look to find the linear, quadratic, or...
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Paul's Patterns
Fourth graders listen to the problem. As the students work ask them questions that require them to describe the patterns in their own words.
If the students are having problems with finding the patterns encourage them to explore the...
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Altitude and Flight Forces
Learners use the World Wide Web to access and use FoilSim. They also use the World Wide Web to access the NASA Glenn Web site for information relative to the factors involved with the flight of an airplane.
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Wing Area Effects Problem Set
Students read an explanation from a NASA Web-based textbook on lift and an explanation on the FoilSim software package given below. They use FoilSim to evaluate the relationship between wing area and lift.
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Velocity Effects Problem Set
Learners, after reading an explanation on lift from a NASA Web-based textbook and an explanation on the FoilSim software package given below, use FoilSim to evaluate the relationship between velocity and lift.
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Rocketing in Math and Sciences
Students make a rocket out of paper. They follow the given instructions and test to see if it will fly. They write about the experiment and are given the opportunity to change their varibles to make their rocket work.
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Parabola (Lab Version)
Students develop definition for parabola, explain relationship between properties of the graph of a parabola and its equation, explain how the equation of a parabola can be written in different forms, and solve problems that relate the...
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Parabola
Students develop a definition of parabola and explain the relationship between the properties of the graph of a parabola and its equation. They explain how the equation of a parabola can be written in different forms and solve problems...
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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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Save Your Change
Students solve problems involving exponential, logarithmic, and scientific notations. Using calculators, students explore investment problems. They use a formula and logarithms to determine the years to earn a particular income, figure...
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Squirt
Fourth graders using the idea of "how many more squirts" fill a container to develop multiplicative thinking. They also investigate the idea of conservation of volume when working with oddly shaped containers. They attempt to use...
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Square Milk Bottle Crates
Students attempt a problem that Students has the potential to have more than one solution. Hence the problem is accessible to a wide range of students. The problem is essentially about finding patterns and this is typical of a number of...
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Pizza Toppings 2
Students explore possible combinations of items. They devise and use problem solving strategies to explore situations mathematically. They examine using linear and quadratic patterns to solve combination problems. From a given...
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Polygonal Strings
Sixth graders apply knowledge of how to calculate the area and perimeter of triangles. They determine why it is inappropriate to measure the area of land by its perimeter which is done in certain areas of New Guinea. They complete a...
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Statistical Accuracy and Reliability
Ninth graders assess the accuracy and reliability of current survey data and how it is represented. They design a survey, collect data, and use technology to analyze the data and present the results. Students examine scatter plots and...
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Mathematical Relationships
Students practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing what...
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Additional Context Problems for Quadratic Models
Working with real world applications of quadratic models, students solve four practical problems requiring the use of the quadratic equation. They are guided through the process by a series of questions following each problem.
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Two-Step Equations
Young scholars explore the concept of solving two-step equations. In this solving two-step equations instructional activity, students watch a short video about solving equations. Young scholars view a PowerPoint presentation about...
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