Pennsylvania Department of Education
Creating Polygons
Students describe, make and compare polygons. In this creating polygons lesson, students identify properties of quadrilaterals and describe common features of two dimensional shapes.
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Geometry Scavenger Hunt
Pupils use the digital camera, identify geometric shapes (in nature as well as man-made), and gain a better understanding of geometric vocabulary. They search for and recognize geometric shapes in unusual settings
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Triangular Numbers
Young scholars are introduced to the problem and brainstorm ideas for approaching the problem and keeping track of what has been done. They work in pairs and share their answers, explaining their reasoning.
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Bead It!
Fourth graders use colored beads in two problems and explore the use of proportional reasoning as a problem solving method. Working Students, in groups, explain their reasoning strategies orally, and through drawings.
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Counting Pills
Young scholars are introduced to the problem. They brainstorm ideas for approaching the problem and keeping track of what has been done. Students work on the problem in pairs to discover what strategies might help to find the answer.
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Pythagorean Theorem Proof
Tenth graders investigate the Pythagorean Theorem. Then they type up a formal paragraph proof of a proof of their choice.
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An Apple A Day
Students create a graph that showcases their pick for favorite kind of apple. Students are given samples of a variety of apples to determine their favorite in a taste test. They a create a tally chart of favorite kinds apples and use a...
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What Time is It?
Pupils explore time by completing worksheets. In this time-telling lesson, students utilize images of clocks and determine what time they read. Pupils answer more clock questions with a Smart Board and complete a clock worksheet with the...
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You Can Count on Squares!
Fourth graders engage in and explore to develop mathematical, specifically algebraic, ideas. Although the tasks are built around measurement, they are algebraic to the extent that they require 'formulae' to be derived form the geometric...
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Passport to the Eastern Hemisphere
Seventh graders create a time line of significant dates in the history of their nation. This requires students to examine the entire history of a country and make informed judgments based on their historical knowledge.
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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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Adaptable Mandibles
Students define adaptation and highlight example of adaptation in birds and other animals. They study feeding techniques of seabirds and investigate the effect that trash has on wildlife.
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Poppy Meets Pythagoras
Eighth graders find connections between numbers in a table; use Pythagoras' theorem in a general algebraic form; and measure accurately from a scale drawing to find a method that might enable the helicopter to land inside a rectangular...
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Finding the Salt Front
Learners discuss definitions of estuary, salinity, and the salt front. They listen as the teacher explains the Hudson River Miles and ways the upriver and downriver sections relate to the north and south. Students graph the salt front...
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The Bigger they Are . . .
Students do a variety of data analyses of real-life basketball statistics from the NBA. They chart and graph rebounding, scoring, shot blocking and steals data which are gathered from the newspaper sports section.
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Graphs and Functions
Pupils are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Impossible Graphs
Learners distinguish between possible and impossible graphs of functions, and to learn why some graphs are impossible. They have practiced plotting functions on the Cartesian coordinate plane
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Calculate Your Contribution
Learners assess the environmental impact of their transportation choices. They keep a transportation journal and use a website to calculate vehicle emissions for themselves and their class. They evaluate their transportation choices.
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Statistically Lyrical
Students examine and discuss the writing of ratios as fractions and where they can be found in the real world. They complete worksheets and a questionnaire, and calculate the mean, median, and mode scores for the class.
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Nuts & Bolts: is Classification, Arbitrary, Or Not?
Students, in groups, classify furniture, share their categories and rationales, then note how their different schemes vary, perfectly logical and useful, but completely arbitrary.
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Foreign Stamps
Eighth graders convert the price of US stamps to those of a number of foreign currencies. They use conversion charts to make the changes.
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The Farmer's Sheep
Students use problem solving skills, logical thinking, and their ability to work sequentially in order to solve an algebra problem. They listen to the problem read aloud by the teacher and devise a plan in order to solve the problem.
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Track's Slippery Slope
Students graph data of sports figure running time using x-axis y-axis to find slope of trend line, mathematically find the interpolated and extrapolated values for data points. Using the information they make predictions.
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Around and Across
Tenth graders investigate the circumference and diameter of a circle. In this geometry lesson, 10th graders relate circumference to diameter. They create a scatter plot to estimate the value of pi.