Curated OER
Pythagorean Theorem Investigation
Eighth graders investigate the Pythagorean Theorem and practice applying the theorem to various triangles. Finally, in the next lesson in the sequence, 8th graders create a song or a story to help them remember the Pythagorean Theorem.
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Square Pegs in Round Holes
Sixth graders problem solve the square peg in the round whole problem by applying knowledge of the formulas for the areas of the circle and the square. They decide on a problem solving strategy based on logical reasoning.
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Translations
High schoolers explore the concept of translations. In this translations instructional activity, students discuss similarities and differences between images and pre-images. High schoolers apply translations to coordinates of figures....
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Equation of State Problem Set
Students demonstrate their understanding of the equation of state by computing the gas constant from air properties. They use online research tools and apply integrated math problem-solving strategies to solve problems outside the realm...
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Handshakin'
Students investigate the concept of solving problems when given it in words and employing a wide variety of methods. They practice applying a logical sequence to find the solution to a problem while estimating possible answers to help in...
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Tangram Perimeters
Students work together to make figures out of tangram squares. In groups, they calculate the measurements they need and apply the Pythagorean Theorem. They complete a worksheet solving equations using the theorem and review their answers.
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Noughts
Students try to figure out the strategies to the game Noughts. Students logic must play a part in the process of the game. Students apply the symmetries of regular polygons. Students devise ways to critically follow a chain of reasoning.
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The Old Chicken Run Problem
Sixth graders apply problem solving strategies to work with a real life situation in which they need to determine the area. They determine the area of chicken runs that are rectangular in shape when give a partial perimeter.
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Angle Measurement and the AD-1 Aircraft
Students represent and solve problems using geometric models and apply geometric properties and relationships. They also practice constructing and measuring angles. By constructing, drawing, visualizing, and comparing geometric figures...
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Decimals: Collaborative Lesson
Students explore mathematics by participating in a group activity. For this number value lesson, students identify the uses for decimals and how to best estimate whole numbers based on decimals and fractions. Students collaborate with...
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Human Inheritance
Students analyze genetic characteristics in a given family tree through the F2 generation. Students apply prior knowledge from Gregor Mendel's study with pea plants and his Laws of Heredity to answer questions.
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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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Thrust to Weight Ratio and Excess Thrust
Students, after reading an explanation from a NASA Web site, demonstrate an understanding of the text by applying it to questions involving the Thrust to Weight Ratio and Excess Thrust of an aircraft.
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Sonics Math
Students multiply whole numbers by fractions. They see one way that decimals apply to the real world, and possibly consider more.
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Probability: the Study of Chance
Students experiment to determine if a game is fair, collect data, interpret data, display data, and state and apply the rule for probability. Students use a simple game for this experiment.
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Patterns, Relations, and Functions: Lesson 3: Numerical Patterns
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
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From a Square to a Rectangle
Eighth graders solve problems involving percentage increases and decreases. Using given percentages, 8th graders transform a square into a rectangle. They apply the area formulas for squares and rectangles.Students observe the percent...
Pennsylvania Department of Education
Properties Everywhere
Students examine and sort objects by specific attributes and apply prior knowledge. In 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
Young scholars 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
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...