Illustrative Mathematics
Same Base and Height, Variation 1
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right...
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Developing an Understanding for Square Roots
In this algebra worksheet, students discover properties of squares while making squares with a Geoboard. There are two charts to complete and 15 questions.
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Quadrilateral Attributes
Students classify quadrilaterals. In this quadrilateral lesson, students identify the characteristics of quadrilaterals. They write their findings in a journal. Students use geoboards to create quadrilaterals from given descriptions.
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Count Them Up
Pupils calculate area using the geoboard application on their calculators. They use a TI-73 calculator to find the areas of the shapes provided in the accompanying worksheet. Screen shots and instructions for creating shapes in the...
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Up For Change?
Young scholars explore similar objects. They participate in a series of hands-on, multimedia and online activities to examine how the edge length affects the angle measures, perimeters and areas of similar regular polygons. Students...
Virginia Department of Education
The Pythagorean Relationship
Add up areas of squares to discover the pythagorean relationship. Small groups create right triangles with squares along each side. They calculate the areas of each square and notice the relationship. Groups construct other types of...
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Volume & Candy Creations Model
Sixth graders investigate surface area. In this surface area lesson, 6th graders design a box of candy that has a volume of 30 cubic inches. Students are trying to minimize surface area while keeping volume constant. Students...
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Shape Matters More!
Students investigate shapes as the area changes while the perimeter remains the same. Students demonstrate the shape/perimeter/area relationship using simulations and physical models.
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Geoboard Ideas
Students build polygons on their geoboards. In this geometry lesson plan, students build and then draw it on paper and label it. Students then switch with a partner to try an make a symmetrical shape.
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Finding the Circumference and Area of a Circle
Sixth graders discover what circumference is. In this measurement lesson, 6th graders identify the radius and diameter of different circles. Students discover how to find the area of a circle using the radius and diameter.
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Visualizing Multiplication
Upper graders represent multiplication of a two-digit number by a two-digit number as the area of a rectangle with dimensions of the two factors. They find patterns for the number of different base ten blocks in a rectangle representing...
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Fractions and Halves
Fourth graders examine halves of a whole and discover through activities that they must be exactly equal in size. Working with Geoboards and Dot-Paper Squares, the class practices finding halves that are both congruent and incongruent.
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Unit Perimeters and Areas
Students use Geometers SketchPad to find the area and perimeter of several shapes. In this geometry instructional activity, students determine area of rectangles and progress through irregular polygons. None of the referenced worksheets...
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Learning about Shapes with Tangrams and the Net
Students use tangrams, student literature, and Websites to explore shapes.
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Minimum and Maximum Perimeter
Pupils practice a variety of strategies with varying numbers of tiles to form shapes and then find the minimum and maximum perimeter for each one. Each group is assigned a different area to build either with square tiles or a geoboard....
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Powerful Polygons
Students scan the classroom to find different common shapes. They listen as the teacher defines polygon and regular polygon. The teacher demonstrates regular polygons via the Internet and the "Math is Fun" web site. Students go outside...
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Pick's Theorem
Learners investigate polygons and their lattice. In this calculus lesson, students record data using different methods. They analyze their data and draw conclusions based on the relationship between the area and the interior lattice.
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Rep Tiles
Third graders use pattern blocks of one shape at a time to try to create a similar shape. They compare the perimeter of the new figure with the perimeter of the original shape and look for a pattern. Students use the pattern to predict...
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Math/Quilt Connection
Students explore quilting. For 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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Storefront Signs
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
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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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Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
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Design an Apartment
Learners are given the task of designing an apartment. In groups, they practice estimating the area and perimeter of different shapes. After designing their space, they apply the same formulas to solving real-world story problems.
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What Is Your Point?
Sixth graders identify the x and y axes in a coordinate plane and identifies the coordinates of a given point in the first quadrant. They plot specific points in the first quadrant of the Cartesian coordinate system.