Illinois State Board of Education
Geoboard Areas
Middle school geometers determine the area of a shape on a geoboard or dot paper and draw figures that meet given area conditions. Working as a class, they develop and discuss various ways to draw geometric shapes with specified...
Curated OER
Area of Triangles
In this area worksheet, students calculate the area of 4 triangles, writing answers in rectangles beneath each triangle. A reference web site is given for additional activities.
EngageNY
End-of-Module Assessment Task: Pre-Calculus Module 4
Challenge your scholars to show what they know about the Law of Sines, Law of Cosines, and inverses. The six-question assessment is the last in a series of 16. Pupils find the area of triangles and show that the Law of Sines and Law of...
Curated OER
Law of Sines and Cosines
In this sine and cosine worksheet, learners solve given triangles using the law of sines and cosines. They determine the area of triangles. This three-page worksheet contains 12 multi-step problems.
Concord Consortium
Three Rubber Bands
Stretch your mind about triangles. Given a triangle, scholars consider a smaller triangle formed when they stretch three rubber bands from each vertex to the opposite side. They determine the ratios of the areas and perimeters of the...
Curated OER
Geometric Figures
In this geometric figures worksheet, 10th graders solve and complete 18 different types of problems that include various figures. First, they find the area of the figures shown if consecutive sides are perpendicular. Then, students find...
Curated OER
Geometry, Measurement & Reasoning
Students measure prisms and determine their volume. In this measurement and reasoning lesson, students estimate the volume and area of prisms. They measure given boxes. Students use paper to create prisms and cylinders. They determine...
Curated OER
Quadrilateral Attributes
Young scholars classify quadrilaterals. In this quadrilateral lesson, students identify the characteristics of quadrilaterals. They write their findings in a journal. Young scholars use geoboards to create quadrilaterals from given...
Curated OER
Exploring Areas of Irregular Polygons
Students solve for the area of different polygons. In this geometry lesson, students identify and differentiate between regular and irregular polygons. They use properties of irregular polygons to solve problems.
Cord Online
Pyramids and Cones
Young mathematicians find the surface area and volume of a square pyramid and a cone. In what looks like a typical activity out of a textbook, you'll find an activity where learners find an unknown measurement of a pyramid or cone,...
Illustrative Mathematics
Hexagonal Pattern of Beehives
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the Pythagorean Theorem.
Curated OER
Bermuda Triangle: Map Activity
In this Bermuda triangle learning exercise, learners complete a set of 4 questions using a given map of the Bermuda triangle. Answers are included on page 2.
Curated OER
Area Puzzles
In this area puzzle worksheet, students the area in square units of 3 triangles, then use those areas and line segments to find find the area of a different set of figures.
Curated OER
Area and Perimeter of Triangles
In this area/perimeter worksheet, students find perimeter and area of 6 given triangles. An answer key is included on page 2.
Curated OER
Triangles with Collinear Circumcenters
Students identify the circumcenter of a triangle. In this geometry lesson, students construct a perpendicular bisector using a straight edge and a compass. They differentiate between triangles and collinear points.
Curated OER
Twenty-Five Measures of the Angles of a Triangle Problems
In this triangle worksheet, young scholars calculate the measures of the angles or the sums of the measures of the angles in twenty-five triangle problems and hands-on activities. The solutions are provided.
Curated OER
A Trying Triangle Problem
In this geometry instructional activity, students calculate the length of the sides of a given triangle. They also find the perimeter and area of the triangles given its side values. There is an answer key with this problem.
Curated OER
Why can't We Use SSA to Prove Triangles Congruent?
Students investigate triangles and congruences. In this geometry lesson plan, students differentiate between inductive and deductive reasoning. They differentiate between similar and congruent triangles.
Curated OER
Isosceles Triangle Investigation
Learners solve problems with isosceles triangles. In this geometry lesson, students identify and use the properties of triangles to solve their problems. They find the median, altitude, and angles to the triangles.
Curated OER
Area and Perimeter of Various Shapes
In this area and perimeter activity, students find each for 6 given shapes. A website reference for additional resources and an answer key are provided.
Curated OER
Areas of Polygons
Students calculate the are of regular polygons. In this geometry activity, 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.
Curated OER
Area of irregular Polygons: Historical Motivator - Lewis and Clark Adventure
Seventh graders find the area of irregular polygons. For this lesson on calculating area, 7th graders use the adventures of Lewis and Clark as motivation to learn how to calculate the area of irregular polygons.