Pennsylvania Department of Education
Properties Everywhere
Students examine and sort objects by specific attributes and apply prior knowledge. For this properties everywhere lesson, students work in groups to arrange objects in categories then discuss various sorting options while...
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Congruent Triangles - Is This Enough Information?
Seventh graders examine congruence postulates and apply knowledge to triangles in the world around them.
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Patterns, Relations And Functions
Fourth graders observe patterns and determine a mathematical function that creates the pattern. Through a demonstration by the teacher, they observe strategies such as multiplication, division, addition, and subtraction to use when...
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Measurement: Lesson 2
Eighth graders complete math problems given in this lesson, where they find the perimeter and area of specific figures. They estimate the perimeter and area of shapes and figures and then complete the mathematical formula to find the...
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Water Quality Data Analysis
Learners develop a process for analyzing collected bayou data.
They find the mathematical relationships among various biological factors.
Students, work collaboratively using technology in their data analysis.
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Coin Exchange
Second graders explore the concept of money and simple arithmetic. They represent a sum of money using various combinations of coins and devise and use problem solving strategies to explore mathematical situations.
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Create A Question
Learners explore mathematical problem solving. Given a case problem, students write a rule to solve problems involving decimal multiplication and division. They invent problems, share them with the class, and solve other student's...
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Make the Highest Total
Sixth graders predict the outcome of a simple probability experiment, test it and explain the result by using problem solving strategies to explore situations mathematically. They then play a few games informally where students play in...
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Someone Is In The Kitchen
Learners investigate the lifestyles of the Native Americans and look at a recipe found on a website. They read the recipe and pay attention to the measurements. They differentiate between the various measures in order to apply them to...
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Spacing Out the Solar System
Sixth graders practice applying their problem-solving skills as they measure circular objects and make connections to planets. They identify and describe measurable attributes of objects and units of measurement and solve problems...
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Aircraft Trajectory Problem Set
Learners, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by applying it to the calculation of speed, distance, acceleration, and time in simple aircraft motion.
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Wind Tunnel Aerodynamics Problem Set
Students, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by applying it to the calculation of area, velocity, and pressure in a wind tunnel.
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Sunrise/Sunset
Pupils apply data from a weather-related website to predict patterns in the sunrise and sunset.
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"If You Hopped Like a Frog" by David M. Schwartz
Students brainstorm several animal/personal scenarios, select one, and write out an explanation of the comparison. They apply the measurements/characteristics to themselves and use algebraic equations to demonstrate the comparison.
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How Cool Is Your Environment?
Students study the formulas for calculating heat energy and how to convert Celsius to Fahrenheit. They apply the formulas on a worksheet.
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Multiple Intelligences Holistic Plan
Ninth graders apply basic algebra concepts to equations using cognitive, affective, and kinesthetic components. They create their own word problem, perform the story problem using a dramatic presentation, and present the problem to the...
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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Tessellating Art
Fourth graders create artwork showing their own unique tessellating shapes. They apply the symmetries of a regular polygon and describe the reflection or rotational symmetry of a figure or object. They share their art work with the class.
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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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The Football Kick:An Application of Parametric Equations
Learners investigate the concepts relating to the solving of parametric equations. They take the derivatives of parametric equations during guided and independent practice using the problems provided in the lesson plan. Students also...
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Chain Across the Hudson
Fourth graders role play as contractors responsible for constructing a chain across the Hudson River. They apply math skills to determine the total weight, number of links, and cost of the project.
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Math: Reaching New Heights
Students apply math skills to assess the range, mean, mode, and median of data sets. Using a "Reaching New Heights" worksheet, they review and discuss how to calculate the answers. Students write complete explanations of all their...
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Linear Inequalities
Ninth graders practice recognizing similarities and differences found in the graphing of inequalities and equations. Once observatioons are made they solve some of their own applying prior knowledge.
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Slides, Flips and Turns
Third graders are introduced to different types of transformations. As a class, they describe how a stuffed animal slides across the floor and use themselves to demonstrate as well. Individually, they flip and turn in different...