Lesson Plan
Illustrative Mathematics

Sum of Angles in a Polygon

For Teachers 8th - 12th Standards
How can learners use algebra to solve a geometry problem? Help learners create an equation that shows the relationship between the number of sides of a polygon and the sum of the interior angles. Students are asked to divide the...
Lesson Plan
Illustrative Mathematics

Are These Right?

For Teachers 3rd - 5th Standards
Is that a right triangle or a wrong triangle? Young mathematicians look at eleven different shapes and use a measuring tool of their choice to determine which triangles have right angles. Consider cutting out sets of the shapes to...
Worksheet
Curated OER

Angle Sum of Triangles and Quadrilaterals

For Students 9th - 12th
In this angle sum activity, students find missing angles of 20 triangles and quadrilaterals.  Students find the missing angle in each polygon by using the total degrees of each and given angle measures.
Worksheet
Curated OER

Polygon Sum Conjecture

For Students 10th
In this geometry activity, 10th graders identify the missing angles using the polygons sum conjecture. They measure exterior and interior angles using their angle theorems. There are 63 problems.
Assessment
Noyce Foundation

Which is Bigger?

For Teachers 6th - 7th Standards
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.  
Lesson Plan
Curated OER

Similarity and Dilations - Discover Properties of Similar Figures

For Teachers 9th - 12th Standards
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
Worksheet
Curated OER

Polygons Homework

For Students 9th - 12th
In this polygons learning exercise, students identify polygons that contain given parameters.  They write definitions of polygons.  Students find the measurement of exterior and interior angles of regular polygons.  This...
Worksheet
Curated OER

Interior and Exterior Angles of Polygons

For Students 10th
In this angles of polygons worksheet, 10th graders solve and complete 18 different problems that include determining various interior and exterior angles. First, they determine the measure of various angles described in the first half of...
Worksheet
Curated OER

Angle Bisectors

For Students 10th
In this angle bisector worksheet, 10th graders solve and complete 23 various types of geometry problems. First, they find the angles listed in the figure shown. Then, students determine the sum of the interior angles of a polygon. They...
Unit Plan
Arizona Department of Education

Area and Perimeter of Regular and Irregular Polygons

For Teachers 3rd - 6th Standards
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other...
Lesson Plan
EngageNY

How Do Dilations Map Angles?

For Students 9th - 10th Standards
The key to understanding is making connections. Scholars explore angle dilations using properties of parallel lines. At completion, pupils prove that angles of a dilation preserve their original measure. 
Lesson Plan
EngageNY

Cyclic Quadrilaterals

For Teachers 9th - 12th Standards
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.
Worksheet
Curated OER

Shapes and Designs

For Students 10th
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...
Lesson Plan
Curated OER

Interior Angles of Regular Polygons

For Teachers 9th - 12th Standards
Learners investigate the interior angles of a triangle. In this geometry lesson, students create the formula to calculate the angles inside a triangle. They observe the total sum of a triangles angle on the navigator.
Lesson Plan
Curated OER

Tile Patterns I: Octagons and Squares

For Teachers 7th - 9th Standards
This can be used as a critical thinking exercise in congruence or as a teaching tool when first introducing the concept. Four octagons are arranged in such a way that a square is formed in the middle. With this information, geometry...
Lesson Plan
Curated OER

Angles, Triangles, Quadrilaterals, Circles and Related

For Teachers 6th - 8th
Students classify angles. In this angles activity, students explore the characteristics of angles, triangles, quadrilaterals and circles. They identify polygons and sing a classifying angles song. Students participate in a...
Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
Worksheet
Curated OER

Complementary and Supplementary Angles

For Students 10th
For this complementary and supplementary angles worksheet, 10th graders solve and complete 23 various types of problems. First, they supply a reason to justify each statement in the given sequences. Then, students find the measure of...
Worksheet
Curated OER

Polygon Area Review Sheet

For Students 9th - 12th
In this polygon area worksheet, students answer 8 questions involving the area of several polygons. Students are given various details of the polygon and must find lengths of various polygons.
Lesson Plan
Curated OER

Powerful Polygons

For Teachers 2nd - 4th
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...
Worksheet
Curated OER

Rectangle: Angle and Lengths

For Students 9th - 12th
In this quadrilateral worksheet, students determine the measures of angles and their side lengths of a rectangle. There are 15 questions with multiple parts.
Worksheet
Curated OER

Ratio Measures

For Students 10th
In this ratio measures worksheet, 10th graders solve and complete 8 different types of problems. First, they find the largest angle of a hexagon. Then, students solve the proportions shown. They also name the similar figures by filling...
Lesson Plan
Beacon Learning Center

The Fun Polygon

For Teachers 4th - 6th Standards
Junior geometers use hands-on manipulatives to explore and describe the properties and attributes of a fundamental polygon, the triangle. They learn different kinds of angles and their measurements. This well-written lesson plan provides...
Worksheet
Lane Community College

Review Sheets: Geometry

For Students 8th - 11th
Full of problems with polygons, angles, lines, and triangles, your learners get a multi-page packet that provides all they need to know. It contains many of the standard problem types as well as some more challenging questions.