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Slopes of Lines
In this slopes of lines worksheet, 10th graders solve 9 problems that include finding the slope of various lines. First, they find the slope of the line passing through the given points for the first 6 problems. Then, students find the...
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Links to algorithms for computing the date on which Easter falls
In this algorithms worksheet, learners are provided with links to three different algorithms used to compute the date on which Easter falls for a particular year. One link requires the students to do the computations, while the...
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How Many Toothpicks?
Students investigate different geometric patterns. In this geometry lesson, students create different shapes using toothpicks. They create different patterns and designs and complete a charts using different measurements.
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Circle Relationships
Students explore circles. In this geometry lesson, students explore the relationship between the circumference of a circle, the distance a ball travels, and the number of rotations the ball must make in order to travel a certain...
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Unit Perimeters and Areas
Pupils use Geometers SketchPad to find the area and perimeter of several shapes. In this geometry lesson, students determine area of rectangles and progress through irregular polygons. None of the referenced worksheets are included with...
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Dredging the Mississippi
Students determine the amount of earth that needs to be removed from the Mississippi and the amount of time it takes the Army Corps of Engineers to complete a dredging project. Given specific dimensions of a channel, calculations are...
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The Box Problem
Students investigate the concept of functions and how they are used with polynomials. They practice finding the zeros of functions and graph polynomial functions for the help of giving solutions. Students interpret the curve of a line...
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Batter Up
Students use a variety of strategies to figure out the cost of baseball tickets. They use a combination chart, notebook notation, etc. to find the cost of their family to attend a Cardinal's game in St. Louis.
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Time-Axis Fallacy and Bayes Theorem
Students determine that knowledge of an event's outcome can affect the probability of the unknown outcome of an event that has already occurred.
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Castles
Students create a scale model to a castle using the dimensions they were given. They calculate the surface areas and volumes of each section of their castle.
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Measuring the Diameter of Our Star
Students conduct an experiment to measure the diameter of the sun. In this astronomy lesson, students construct a simple equipment to collect scientific data. They calculate the sun's diameter using a given formula.
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Pythagorean Theorem
Young scholars solve right triangles using the Pythagorean Theorem. For this solving right triangles using the Pythagorean Theorem lesson, students find the missing side of a right triangle. Young scholars find the hypotenuse...
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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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Spreadsheet Activity
Students create a spreadsheet to match a given sample. This includes adjusting column width and row height, changing alignment, changing size and style of print, changing number format.
Pennsylvania Department of Education
Alike and Different
Learners compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Learners classify object and build ideas about variables....
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Inequality and Simple Interest Review
Students review how to solve and graph an inequality. They also review how to find simple interest from a given problem set. The teacher performs informal assessment through observation of students.
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Fences and Posts
Fifth graders use Geoboards to demonstrate how shapes can be made by looping the rubber bands over the nails. They make a triangle on their Geoboards. At least one side of the triangle should be either horizontal or vertical. The picture...
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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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Problem Solving in Mathematics
Seventh graders discover that there are multiple strategies to be used in problem solving. They explain a problem solving situation in their own words and determine a possible strategy for solving the problem.
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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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Properties of Fractals
Students build a working definition of regular fractal, look carefully at the concepts of dimension and scale, and are introduced to logarithms. They solve simple exponential equations for the exponent both by trial and error and using...
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Properties of Fractals
Students build a working definition of a regular fractal, they measure the concepts of dimensions and scale, they explore the concept of a logarithm and they attempt to solve simple exponential equations for the exponent both by trial...
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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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Square and Triangular Numbers
Young scholars use equations to represent practical situations. They solve linear equations and quadratic equations. The use of problem solving strategies is also developed.