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Noyce Foundation
Lyle's Triangles
Try five problems on triangles. Levels A and B focus on shapes that can be created from right triangles. Level C touches upon the relationship between the area of a six-pointed star and the area of each triangle of which it is composed....
Mathematics Vision Project
Congruence, Construction and Proof
Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...
101 Questions
Best Reflection
Which is the best reflection of them all? Given four diagrams, pupils determine which one shows the most accurate reflection of a quadrilateral. Two images provide the distances of each vertex from the line of reflection, as well as the...
Mathed Up!
Loci and Constructions
A General Certificate of Secondary Education math review has class members make basic constructions. Using a protractor and a ruler along with a compass, pupils develop drawings of triangles with given measurements. Scholars use their...
Curated OER
Effects of Changing Dimensions Proportionally
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page worksheet contains ten problems. Answers are...
Curated OER
Inscribing a Square in a Circle
Inscribing a square in a circle brings up a number of interesting geometry topics including triangle congruence and how to prove a quadrilateral is a square. This activity is followed up by finding the area of the square and determining...
Curated OER
Know Your Polygons!
Learners identify and categorize different polygons. In this polygons lesson plan, students research and identify properties of polygons, identify different polygon shapes, and categorize different triangles and quadrilaterals.
Illustrative Mathematics
Is This a Parallelogram?
If both pairs of opposite sides of a quadrilateral are congruent, is the quadrilateral a parallelogram? This task asks learners to determine the answer and to support their answer with a proof. The resource includes a commentary for...
Curated OER
Crossword: Geometric Shapes
Using a word bank, mathematicians fill out a crossword puzzle using 9 clues. Each clue describes a shape, using details such as the number of sides, angle degrees, and the shape category. For example: "A quadrilateral with four equal...
Curated OER
Shapes from Shapes
Geometric shapes are really cool. Examine triangles, quadrilaterals, trapezoids, rhombuses, parallelograms, pentagons, and hexagons with your class. They draw large shapes and small shapes then compare them to understand their shapely...
Curated OER
Shapes and Their Insides
Learners follow a series of instructions for drawing and coloring different shapes in order to learn the difference between the perimeter and area of a polygon. Then they are asked to find the perimeter and area of a 3x4 rectangular...
Curated OER
Transformational Geometry Using the Geometer's Sketchpad
Students complete a webquest on the various types of symmetry. Using a computer, they explore the concepts of transformational geometry and identify points, segments, lines and planes. They experiment with the rotation of a quadrilateral...
Curated OER
Triangles and Things
Young learners listen to the story book The Greedy Triangle as the teacher introduces new polygon shapes. They use geometric stencils to trace a quadrilateral, a pentagon, a hexagon, and an octogon onto a foldable notepad....
Curated OER
Coordinate Geometry Proofs
In this coordinate geometry worksheet, 10th graders solve and draw 10 different problems related to complete proofs in coordinate geometry. First, they prove that a figure with given points is another figure by using slopes. Then,...
Curated OER
The Farmer's Problem
In this farmer's problem, students determine the maximum area that can be enclosed under given circumstances. This one-page worksheet contains 1 problem. The answer is provided.
Curated OER
Sum of Angles
In this sum of angles worksheet, 6th graders solve and complete 6 different types of problems. First, they identify different alternate and corresponding angles. Then, students state what the angles of a triangle add up to and how they...
Curated OER
Introducing Polygons
In this polygons worksheet, students name the 6 different colored shapes, choose any 3 polygons to draw and color on a grid, while adding a right angled triangle and a rhombus.
Curated OER
Exploring Similar Polygons
In this exploring similar polygons worksheet, 10th graders solve 9 various problems that are related to similar polygons. First, they define similar and the symbol used to identify similar to another. Then, students find the measurement...
Curated OER
Polygon Mobiles
Students explore a variety of shapes and angles and create mobiles with information about a selected polygon. Both common and "not-so common" polygons are examined.
Curated OER
Tessellations
In this tessellations worksheet, 10th graders solve 6 different types of tessellation problems that includes drawing. First, they define polygon, regular polygon, tessellation, regular tessellation, and semi-regular tessellation. Then,...
Curated OER
Inscribed Angles
In this inscribed angles worksheet, 10th graders solve 11 different problems that are related to determining the measurement of various inscribed angles. First, they name the intercepted arc for an angle, the inscribed angle, and the...
Curated OER
Polygons
In this polygons worksheet, 10th graders solve 18 various types of problems related to different forms of polygons. First, they state the number of sides for each convex polygon and then, use the polygon shown to respond to each of 6...
Curated OER
Parallelograms Multiple Choice
In this geometry worksheet, students calculate the different measurements for parallelograms using the properties of quadrilaterals. They are given partial information and must solve the problem. There are 6 questions with an answer...
Curated OER
Polygons
In this math worksheet, middle schoolers classify the six polygons. Then they answer the questions related to the geometric properties of the shapes.
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