Curated OER
Lesson Exchange: Polygons (Middle, Mathematics)
Students discover the relationship between the sides of a polygon and the number of diagonals that can be drawn from one vertex, the number of triangles that those diagonals form, and the sum of the interior angles of that polygon.
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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
Chapter 8 Worksheet 1: Polygons & Angles
For this polygon worksheet, students find the sum of the interior angles of a polygon. They determine the perimeter of equilateral figures, identify concave and convex figures and explore the characteristics of equilateral, equiangular...
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Sum of Exterior Angles of Polygons
Have fun calculating angles for different polygons. The class differentiate the relationship between the interior and exterior angles of polygons. They discuss linear pair as it related the polygons and their angles. This is done as they...
Curated OER
Angles in Polygons
In this geometry worksheet, 10th graders solve problems involving quadrilaterals using the angle sum of quadrilaterals. They solve for linear pairs, opposite angle theorem and triangular angles. There are 5 questions.
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Geometric Figure Quiz
In this geometric figure instructional activity, high schoolers answer 10 multiple choice questions about geometric figures. Students find missing angles, interior angles, properties of polygons, etc.
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Sum of Interior/Exterior Angles with Wilbur
Students identify the interior and exterior measures of polygons. In this geometry lesson, students identify the formula for interior angles of polygons. They differentiate between triangular and polygons angles.
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Patterns in the Sums of Polygon Angles
Sixth graders discover the patterns of sums of polygon angles. In this math lesson, 6th graders study the properties of geometric shapes to solve problems as they participate in hands-on activities.
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Areas of Polygons
Students calculate the are of regular polygons. In this geometry lesson, students create polygons on the computer and move it around to create different shapes. They explore the area of different polygons and how they inter-relate.
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Geometric Shapes and Angles
In this geometry worksheet, 10th graders review polygons and solve for the missing angles of trapezoids and isosceles triangles. There are 10 questions on this worksheet with an answer key.
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Shapes and Designs
In this shapes and designs worksheet, 10th graders solve and complete 6 different types of problems. First, they fill in the first two columns of the table show with their shapes. Then, students measure the interior angles of each...
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Around The Stop Sign
Students analyze a drawing of a regular octagon inscribed in a circle to determine angle measures, using knowledge of properties of regular polygons and the sums of angles in various polygons to help solve the problem. They use...
Willow Tree
Ratios and Proportions with Congruent and Similar Polygons
Investigate how similar and congruent figures compare. Learners understand congruent figures have congruent sides and angles, but similar figures only have congruent angles — their sides are proportional. After learning the...
Willow Tree
Common Geometric Figures
Geometry could be called the study of figures. An overview of the figures found in a typical geometry course contains a study of different triangles, quadrilaterals, and regular polygons.
EngageNY
Cyclic Quadrilaterals
What does it mean for a quadrilateral to be cyclic? Mathematicians first learn what it means for a quadrilateral to be cyclic. They then investigate angle measures and area in such a quadrilateral.
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Triangle Fundamentals
For this geometry worksheet, students observe a triangle marked with three angles and are given two measures to find the missing third measure. A second diagram is given with six angles. There are 20 questions.
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Triangle Angle-Sum Theorem
In this polygons worksheet, students fill out a graphic organizer about the name of the polygon, the number of sides, the angle sums, and more. Students complete this for 5 polygons.
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Polygon Sum Conjecture
Students calculate the sum of the angles of a polygon. In this geometry lesson, students use the interior angle formula of polygon based on the number of sides of the polygon. They identify the missing angle using algebra.
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Polygons
For this polygon worksheet, students draw various polygons according to given specifications and find angle sums. A website reference for additional resources is given.
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Pattern Block Polygons
Sixth graders create polygons. In this shapes lesson, 6th graders explore prefixes such as oct, tri, quad, pent, etc. and share their findings. Students use pattern blocks to create two different polygons and label them.
Curated OER
Forty Mental Math Angle Problems
In this angle worksheet, students answer forty mental math questions divided into four problem sets. These problems require students to remember angle facts and so simple calculations mentally.
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Area of Parallelograms
In this area of parallelograms worksheet, 10th graders solve 8 problems that include finding the area of various parallelograms. First, they find the area of each given figure in number 1-3. Then, students find the area of each shaded...
Curated OER
Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
Curated OER
Pythagorean Theorem by Graphic Manipulation
There are many different ways to show a proof of the Pythagorean Theorem. Here is a nice hands-on paper cutting activity that shows a graphic representation. You can even challenge your young Pythagoreans to come up with their own...