Inside Mathematics
Circles in Triangles
Challenge the class with inscribed circles in triangles. The assessment task requests class members use their knowledge of circles and right triangles to prove two triangles are congruent. They go on to utilize their knowledge of...
Improving Measurement and Geometry in Elementary Schools
Rep Tiles
In addition to the catchy title, this lesson plan provides upper graders an opportunity to more closely scrutinize the attributes of plane figures. In particular, they focus on the similarity of different shapes. Both whole-class and...
Curated OER
Sphere Dressing
Geometric design makes a fashion statement! Challenge learners to design a hat to fit a Styrofoam model. Specifications are clear and pupils use concepts related to three-dimensional objects including volume of irregular shapes and...
Achieve
Fences
Pupils design a fence for a backyard pool. Scholars develop a fence design based on given constraints, determine the amount of material they need, and calculate the cost of the project.
Willow Tree
Interior Angles, Exterior Angles, and Diagonals of Polygons
How does the number of sides of a polygon affect the angle measures? Learners recognize a pattern in finding the total measure of interior and exterior angles and the number of diagonals. They use the patterns to calculate the number of...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Pennsylvania Department of Education
Problem Solving with Fractions
Solve story problems using fractions or decimals. Then, determine the reasonableness of answers using estimation.The detailed lesson includes essential questions, vocabulary, a materials list, and links to related units.
Curated OER
Building Bridges
Students identify the different types of bridges. Using the internet, they research information on how they are built by completing a scavenger hunt. Locating a specific area, they determine which type of bridge would be appropriate and...
Curated OER
Discovering Math: Concepts in Geometry
Middle and high schoolers explore the concept of proving the Pythagorean Theorem. They research proofs of the Pythagorean Theorem. Pupils create posters of proofs, and research Greek mathematicians.
Think Map
Know Your Polygons!
Shape shifters recognize characteristics of polygons. Embracing language arts skills in addition to math, they use a thesaurus to pinpoint specific attributes of a set of polygons. They also participate in a 21-question guessing game...
Curated OER
Circles and Angles
Young scholars identify tangents, chords and secants. In this geometry activity, students graph circles and identify angles created by secant lines, tangent lines and chords.
Pennsylvania Department of Education
A Geometric Scavenger Hunt
Fifth graders connect their knowledge of polygons and polyhedrons. In this geometric shapes instructional activity, 5th graders identify and classify two- and three-dimensional objects. Students construct a polyhedron out of polygons and...
Curated OER
Geometry in the Real World
Eighth graders complete a unit of lessons on basic geometry concepts. They participate in a variety of activities, culminating in a project that involves publishing a booklet or a poster that presents the major geometry concepts from the...
Curated OER
100 Patch Geometric Quilts
Students identify geometric patterns in quilts. For this geometry lesson, students view various types of quilts and identify the geometric shapes. Students construct one hundred patch paper quilts using geometric shapes.
Curated OER
Multiplying Polynomials
Students explore the concept of multiplying polynomials. In this multiplying polynomials lesson, students watch a video clip about basic math skills. Students work in groups on an exploration about why a binomial squared equals a perfect...
Curated OER
Geometry and Spatial Sense
Students investigate geometric shapes in 2 and 3 dimensions. In this geometry lesson, students create a model chocolate factory working in groups and using an actual cake. Students take a quiz about measurement equations dealing with...
Curated OER
Octagon Lesson Plan
Learners investigate octagons using words and shapes. In this geometry lesson plan, students discuss the shape of an octagon using physical and symbolic models. They make conjecture about the shape and relate it to the real world.
Pennsylvania Department of Education
Classifying Figures on the Coordinate Plane
Fifth graders use estimation to solve word problems. In this fractions lesson, 5th graders decide whether or not an answer to a work problem is reasonable by applying their knowledge of fractions, decimals and estimation. This lesson...
Curated OER
Regular Polygons
Fifth graders explore polygons. In this math lesson, 5th graders find examples of regular polygons in the classroom and measure the sides of figures to determine if they are regular polygons.
Curated OER
Transformations
Sixth graders discover transformations. In this graphing activity, 6th graders explore visual examples of plotting transformations as they review translations, rotations, and reflections. Students also practice solving problems that...
Curated OER
Designing a Quilt Pattern
Learners create and color a one-patch quilt design based upon a regular hexagon. They examine quilts and photos of quilt designs, read a handout, and complete their quilt design on a worksheet.
Curated OER
Folding to Make Shapes
Second graders identify different polygons and their attributes. In this geometry lesson, 2nd graders get to know polygons by studying the vocabulary and finding polygons in their classroom. They create these shapes and then find their...
Curated OER
Problem Solving Using Power Polygons
Students investigate geometric shapes by creating figures on a plane. In this polygon lesson, students complete a worksheet based on the angles in a power polygon. Students identify the different types of polygons and define their...
Curated OER
Triangle Side Lengths and Angles Measures
Students identify missing sides and angles. In this geometry lesson, students use triangular theorems to identify the missing sides. They use the Pythagorean Theorem to find the different ratios of each side.