Pennsylvania Department of Education
Using Expressions and Equations
Sixth graders analyze expressions and equations. In this algebra instructional activity, 6th graders write algebraic sentences and solve for an unknown in a one-step equation. This instructional activity uses the formulas for the...
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the Bronze Bow By Elizabeth George Speare
Sixth graders learn about how Rome occupied ancient Palestine around 35 BC to 35 AD through cartography mathematics, creative writing and art.
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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.
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Lake Crossing II
Students complete the following problem by using logic: Three couples, the Smiths, the Jones and the Browns wanted to go to the Brown's yacht that was moored a little way out in the lake. There was a dinghy to take them to the yacht but...
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Finding Satisfactory Solutions
Students explore the creative aspects of problem-solving and practice creative problem-solving strategies in the context of a story problem. They decide where to locate ice cream stands in a town so that no one has to travel too far to...
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American Political Thought: Minority Influence
Sixth graders brainstorm the reasons why people would want to leave their homeland to live in the United States. In groups, they research the political representation of the Board in New Haven, Connecticut. They also write a paper on...
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Math: A Geometric Neighborhood
Students, as a final project, draw a picture of their ideal neighborhood on a sunny day. In addition to the sun, their drawings include homes, trees, streets, and selected objects. Each object in their drawing has a written description...
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"24" Game
Students use four digits obtained from rolling four dice to create a mathematical expression equal to 24.
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A Thoreau Look at Our Environment
Sixth graders write journal entries o school site at least once during each season, including sketched and written observations of present environment. They can use sample topographical maps and student's own maps. Students can use...
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Math Practice Exam
In this math practice exam learning exercise, students simplify expressions, find volume and area, write mathematical expressions multiple and divide expressions and reduce fractions. Mention is made of associated videos, but no specific...
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How Does Kansas Measure Up?
Students identify the five main crops of Kansas and crops that are produced in other states. The categorize the types of fruits and seeds of each plant and measure each to compare the length of each.
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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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Exploring Scale
Sixth graders discuss how the scale and type of graph can change how the data appears. With a partner, they identify all the information about the graph in a specific amount of time and record them in a journal. To end the lesson, they...
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Investigation-Operations
Sixth graders explore equations. In this math lesson, 6th graders discuss the rules for solving equations. Students apply the rules and solve various equations.
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Divided We Stand
Young scholars figure out how to arrange seating in a concert hall given specific requirements. They better explain how dividing can allow us to arrive at mathematical solutions quickly and logically.
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Carbondale: The Biography of a Coal Town
Students use a brief history of the growth and decline of the anthracite region in the state to create a photograph and map "peak shaped" time line. They practice map and photo analysis strategies to "read" photographs and maps.
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Create A Question
Students 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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Plane Weather
Students examine the important issue of plane safety. In groups, they are introduced to how NASA determines if it is safe to fly on a particular day given certain conditions. They use the internet to research the types of tools and...
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The Architectural Style of Frank Lloyd Wright
Young scholars explore the qualities of tangible and intangible using the architecture of Frank Lloyd Wright. After a brief introduction of the vocabulary, they use the internet to research the architecture of Frank Lloyd Wright. Once...
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Percentages: Decimals To Percent
In this percentages worksheet, students write twelve decimals as percentages and twelve percentages as decimals. Students check their answers with the key when they are finished.
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Percentages: Fractions To Percent
In this percentages learning exercise, students write eighteen fractions as percentages. Students problem solve each fraction as a percentage.
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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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Data Days
Sixth graders practice collecting, organizing and displaying data. They create circle, bar, line and picto graphs. They analyze data in small and large sample groups.
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Tortillas
Students convert recipes for tortillas. They calculate the amounts of ingredients as they convert recipes and write an explanation of the task to demonstrate their calculations. After reviewing their calculations, they demonstrate how...