Pennsylvania Department of Education
Expressions Involving Variables
Sixth graders practice translating verbal expressions into algebraic expressions. In this introductory algebra instructional activity, 6th graders practice writing written/verbal sentences into algebraic expressions and vice versa....
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Compare Your Air
Learners will compare the data for different locations that they select and investigate trends over the course of a number of years. This will give the students an opportunity to apply statistical measures (mean, median,mode) to data...
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Costing Fencing For A Volleyball Court
Students engage in a lesson for mathematical application based upon the use of calculations in order to create a fence for a volleyball court. The fence is designed and drawn with measurements. The core of the lesson is the calculation...
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Capacity Lotto
In this mathematical worksheet, students convert fifteen metric units of capacity and multiply and divide whole numbers by 10, 100 and 1000.
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Significant What?
Students define accuracy and precision, and differentiate between the two terms, apply the concepts of accuracy and precision to a given situation and correctly apply the concept of significant figures to measurement and mathematical...
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Right Place, Right Time
Fourth graders complete mathematical word problems. They study the relationships among distance, speed, and time; and measure travel distances. They measure distances using a piece of string and a ruler and practice converting several...
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Making Metric And Customary Rulers
Students create a ruler for the purpose of measurement using the standard and metric systems. The rulers are of different lengths and are compared to one another. Then students make conversions of different lengths using both systems of...
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Trig River
Middle schoolers calcute distances using trigonometry and angle measurements. They estimate the width of the Trig River, measure it and compare their results with their classmates. They collaborate with a group to research and find the...
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From Trees to Paper
Sixth graders investigate logging and the process of paper making. In this forestry lesson, 6th graders analyze pictures of trees being processed into the paper they use everyday. Students solve and create math problems based...
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A Gigabyte of Music, How Much Is That
Students examine unfamiliar units of measure. They practice converting equations to fractions and converting one unit of measurement to another. They work together to solve equations.
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Around We Go!
Young scholars make accurate measurements and calculations of measuring the area an perimeter of a section of the floor accordingly. They use appropriate measurement and calculation strategies to write a complete a clear explanation for...
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Up For Change?
Students explore similar objects. They participate in a series of hands-on, multimedia and online activities to examine how the edge length affects the angle measures, perimeters and areas of similar regular polygons. Students find the...
Center of Excellence for Science and Mathematics Education
A Sick Astronaut
Aspiring astronauts graph, interpret, and analyze data. They investigate the relationship between two variables in a problem situation. Using both graphic and symbolic representations they will grasp the concept of line of best fit to...
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Can You Carry a Tune in a Bucket?
Students use water filled pipes to play a tune and consider the mathematics behind the sound waves. In this sound wave lesson, students play a tune with water filled pipes. They create a mathematical model to evaluate the wavelengths and...
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Jazz and Math: Improvisation Permutations
Students explore the various rhythmic combinations in jazz and blues music. They watch a video segment, apply a mathematical formula to calculate the number of possible rhythmic combinations, and perform a combination of notes and...
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Close Enough?
Students examine how navigation is based on mathematics and how making a mistake in measuring an angle could have an impact on a target. They observe a teacher-led lecture, use a calculator to complete two worksheets, and participate in...
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Layers of the Earth: Plate Tectonics
Sixth graders participate in a lesson that is about investigating the different layers of the earth and defining how the plates move over the mantle. They engage in a variety of activities and use mathematics to create projects to...
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Current Divider Circuits
In this circuits worksheet, students answer ten questions about current divider circuits, the resistance in them, the currents in resistors of parallel circuits and they design, build and mathematically analyze a circuit.
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Potentiometers
In this potentiometer worksheet, students design and construct a circuit and then mathematically analyze their work. They answer 18 questions about potentiometers and their function.
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Millman's Theorem
In this electrical circuit lesson, students will answer 9 open ended questions to mathematically analyze circuits for current and voltage. This online activity provides diagrams for better understanding and reveals the answers.
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Making Simple Conversions
Fourth graders explore unit conversions. They create visual models of measurement units, identify tables of equivalent units and make simple conversions with in a measurement system. Students produce charts that identify units of measure...
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Angles: Angles, Angles, Everywhere
Students practice estiminating and measuring angles. After watching a short video, they identify angles in objects in the classroom and their homes. In groups, they participate in activities in which they are given a scenerio and are...
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Giant Mystery
Third graders determine the relationship between hand size and body size using centimeters as the unit of measure, They use the relationship to find the size of a hypothetical giant. They graph the measurements using a spreadsheet program.
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Earthquake Power
In this earthquakes instructional activity, students learn about the measurements of earthquakes on the Richter scale. They answer six questions about the magnitudes and sizes of earthquakes using two tables of data about earthquakes and...