Pennsylvania Department of Education
Length and Perimeter
Third graders explore tessellations and the spatial concepts used in creating them. For this tessellations lesson, 3rd graders rotate, reflect and transform shapes to create tessellations. Students become familiar with the vocabulary...
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Math: Equal Area Triangles
Young scholars examine a math worksheet and determine how to divide a single triangle into four of equal area. Using geometric principles, they sketch two additional ways to divide into into four equal triangles. To conclude, students...
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Introduction to Fractals: Geometric Fractals
Middle schoolers study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Middle schoolers complete worksheets based on...
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"Is a Blue Whale the Biggest Thing There Is?" by Robert Wells
Students discuss how big is big. They compare the area and perimeter of an acre and a football field.
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Volume
Young scholars, after reviewing the measuring of the lengths of sides of different shapes along with the calculation of their perimeters and areas, encounter what it means by the 'perimeter' of a polygon. They practice measuring units of...
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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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Cylinder: Student Worksheet
In this cylinder worksheet, students compare three different cylinders to experiment which one has the greatest volume. Students interact with rectangles as they experiment with the cylinders.
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Discovering Pi
Students relate Pi to a circle. In this circles lesson, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
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Swimmy's Friends
Students solve problems using various strategies. In this problem solving lesson, students read the book Swimmy by Leo Lionni. Students make fish swimming patterns, measure how many goldfish crackers it takes to make a handprint and...
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Inner and Outer Planets
Learners explore the solar system. In this planets instructional activity, students learn about the other planets in the solar system. They watch a video clip from National Geographic on the solar system, compare and contrast the planets...
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Geoboard Squares
Students create squares of different sizes on a geoboard. They find and describe a pattern. Students use the pattern to determine the number of squares possible on a 10-by-10 geoboard. They create squares with a horizontal base (and...
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Similarity
Students find the factor of proportionality in similar polygons. In this similarity of polygons lesson plan, students measure the sides and angles of polygons and derive a factor of proportionality between corresponding pairs of sides...
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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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Building Models
Fifth graders build models. In this measurement lesson, 5th graders build paper models to represent square centimeters, square inches, square feet, cubic centimeters, cubic inches, cubic feet, and perimeter.
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Introduction to Fractals: Infinity, Self-Similarity and Recursion
Students think about several of the concepts from fractals, including recursion and self similarity. They use mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced.
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Marshland Wonders
Students review the characteristics of wetlands and list their benefits. After viewing short videos, they identify the organims that make their home in wetlands and how they have adapted. They compare and contrast the characteristics...
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Math/Quilt Connection
Students explore quilting. In this math patterns lesson, students define the perimeter of a quilt border, create tessellations using geometric shapes, and detemine the area of a quilt.
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Guess Your Best
Students discuss situations when it is useful to know exact weight of object as opposed to estimated weight, estimate weight of various items, weigh them on scale using ounces and pounds, and compare their weights on Guess Your Best...
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STRETCHING SPRING
Students calculate the length, width, height, perimeter, area, volume, surface area, angle measures or sums of angle measures of common geometric figures. They create an equation of a line of best fit from a set of ordered pairs or...
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Measurement Investigations 1
Fifth graders find perimeters, areas, and volumes of everyday objects and state the precision. They work in small groups in order to take measurements, perform calculations, and write a group report about the investigation.
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Measuring to the Nearest Inch
Third graders use whole numbers and fractions to make connections between abstractions of the mathematical world and the real world. In this fractions and measurement lesson plan, 3rd graders identify, quantify groups , and measure...
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Too Many Tamales
Students investigate Mexican holiday celebrations and compare them to American Christmas holidays. They conduct a Mexican Christmas Scavenger Hunt. The lesson uses a streaming video in order to engage students in the main objectives.
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"How Much?" Contest - Measurement
Students work with measurements of length, area, and volume capacity of a liquid. They watch a teacher demonstration of both English and metric units before they estimate and take actual measurements of assigned items a three different...
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Putting the 'pi' in Pumpkin Pie
Students use geometric formulas to divide a pumpkin pie. In this geometric formulas lesson, students review equations for area and circumference of a circle and divide a pumpkin pie to practice the formulas. Students use the Pythagorean...