Virginia Department of Education
Dilation
Open up your pupils' eyes and minds on dilations. Scholars perform dilations on a trapezoid on the coordinate plane. They compare the image to the preimage and develop generalizations about dilations.
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Surface Area of Prisms
Students compute surface area and volume of prisms. In this surface area lesson, students find the surface area and volume of rectangular and triangular prisms. Independently, students use their computers to determine the volume,...
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Law of Sines
Students identify the ratios of a right triangle. For this calculus lesson, students use the law of sines to solve problems involving non-right triangles. They identify the different parts of a triangle.
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Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various types of problems related to determining whether each polygon is similar or not. First, they write 3 equal ratios to show corresponding sides are proportional to...
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Area on a Coordinate Grid
In this area on a coordinate grid worksheet, students solve and graph 10 different problems on a coordinate grid. First, they determine the area of the given figures in each. Then, students determine the length of each side of the...
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Law of Cosines
In this Law of Cosines instructional activity, 10th graders solve 10 different problems related to applying the Laws of Cosine. First, they determine the length of a side rounded to the nearest integer. Then, students determine the...
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Tangent
In this tangent worksheet, 10th graders solve 10 different problems that include various tangent lines. They find the value of x using the tangent of each given angle of various triangles illustrated. Then, students identify and define...
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Geometry Proofs
In this geometry proofs worksheet, 10th graders solve and complete 6 different problems that include various proofs. First, they prove a triangle has equivalent angles as given. Then, students prove two angles supplementary as described.
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Perimeter and Area
In this perimeter worksheet, 4th graders discover the perimeter and the area of the given triangles. Using the measurements provided, students solve for 6 problems.
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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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The Shortest Distance
Students, working on their GED, examine the steps used to resolve the unknown sides of a right triangle. They express the square root function as an exponential function and derive the distance formula using principles of geometry.
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Can Stack
Students are able to find the rule for summing consecutive numbers;
identify the pattern of triangular numbers. They then solve the given problem using logic and mathematical reasoning.
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And The Twelfth One Is
Ninth graders play guess my shape (either describe or use a feely bag to introduce the 3 shapes in the problem.) As they are identified put them in an order as shown in the problem. As the students work on the problem in pairs teacher...
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Cannon Balls
Second graders investigate 2 and 3 dimensional objects. They discuss the characteristics of the triangle. Students create sequential patterns and describe the rule for their pattern.
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Mosaic Puzzles
Students use this problem to develop spatial skills. As the students handle the shapes and join them together they strengthen their understanding of the attributes of shapes. This lesson also gives students the opportunity to make up...
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Use Logical Reasoning
For this logical reasoning, students figure out in what order to place four different shapes by reading the clues. Students solve the problem by drawing the shapes in the correct order.
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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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Peter's String
Students are introduced to the math problem and consider how they could approach it. In pairs, students investigate Peter's conjecture in any way they see fit. They then share their answers with the class.
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Fashion Day
Eighth graders practice using basic measurements to solve word problems.They also investigate finding the perimeter of different polygons and define the characteristics to classify the shape as a polygon.
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Diagonals and Altitudes
Students discover the mathematical way to find the dimensions of a diagonal. Using this process, they complete a worksheet in which they identify the relationships between different degree triangles. They review their answers and are...
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ndirect Measurement Technique: Using Trigonometric Ratios
Ninth graders find the height of an object that would be difficult or impossible to measure directly. They construct and use a Clinometer to measure the angle of elevation (or depression). Students create a sketch of the measurement...
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Investigating the Idea of Tan
Fifth graders use tan to solve problems involving right-angled triangles. They solve equations of the form tan(8) =a, for a between 180 degrees and 360 degrees. They state the value of tan (8) in special cases.
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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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Calculating the Hypotenuse
In this triangles worksheet, students use Pythagoras' theorem to find the hypotenuse of a triangle. Students solve 20 problems and also calculate the length of the diagonals in rectangles. This page is intended for online use but may be...