Curated OER
A Special Relationship
Young scholars discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and...
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
Measuring Perimeter
Have your class practice measuring the perimeter of various objects using this resource. Fifth graders place various-sized polygons in order (from largest to smallest). They use non-standard measuring tools to estimate the distance...
Curated OER
Area Calculations
In this area calculation worksheet, students calculate the area of triangles, find the length of 'x' and calculate the length of a given 'x'. A reference web site is given for additional activities.
Curated OER
Inscribing a Hexagon in a Circle
This activity is a follow-on activity to inscribing a square in a circle. The overall problem is more complex. It deals with geometric constructions, properties of triangles, and regular hexagons. The final part of the activity finds the...
Mathed Up!
Similar Shapes
Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...
EngageNY
The Binomial Theorem
Investigate patterns in the binomial theorem. Pupils begin by reviewing the coefficients from Pascal's triangle. They look at the individual terms, the sums of the coefficients on a row, and the alternating sum of each row. Individuals...
Radford University
Parallel Lines Cut by a Transversal
Use the parallel lines to find your way. After first reviewing geometric constructions and the relationships between angles formed by parallel lines and a transversal, young mathematicians write proofs for theorems relating to parallel...
Curated OER
Review of Triangles
Students investigate the Pythagorean Theorem. In this geometry lesson, students define angles and sides of right triangles. They calculate the area and surface area using formulas derived by the Pythagorean Theorem.
Curated OER
Area-Time to Get in Shape
Learners investigate the properties of triangles and parallelograms. In this geometry lesson, students calculate the formula used to find the are of a triangle and other polygons. They create a visual model to represent their findings.
Curated OER
Discovering the Area and Perimeter of Triangles
Eighth graders identify how to find the area and perimeter of rectangles and triangles. They discuss their understanding of area and perimeter and how the two concepts are applied in the real world. Finally, 8th graders determine the...
Curated OER
Finding Areas of Polygons- Extra Practice Worksheet
In this geometry worksheet, students practice finding the area of 11 polygons using diagrams which include units in both standard and metric measurement. They solve for the area of 11 polygons using words that describe the polygons that...
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.
Curated OER
Chapter 7 Final Review Extra Problems
In this Geometry review worksheet, students describe the relationships of two common triangles. They find the area of a segment created by a given sector of a circle for two circles. Students find the length of an arc bounded by the...
Curated OER
Pythagorean Theorem
Learners are introduced to the Pythagorean theorem. They use three different activities that give students the opportuntiy to observe triangles, and use the Pythagorean theorem and practice different ways of determining areas 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.
Curated OER
Geometry of Circles: Week 7
In this circle worksheet, pupils determine the number of degrees in a minor arc, find the area of a circle, find the area of a shaded region. This two-page worksheet contains six problems.
Curated OER
Area, Perimeter, and Volume
In these area, perimeter, and volume worksheets, students calculate to find the area, perimeter, or volume of the various figures. Students complete 30 problems.
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....
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...
EngageNY
Law of Cosines
Build upon the Pythagorean Theorem with the Law of Cosines. The 10th part of a 16-part series introduces the Law of Cosines. Class members use the the geometric representation of the Pythagorean Theorem to develop a proof of the Law of...
Curated OER
Pythagoras' Theorem
Learners are introduced to the Pythagoras' Theorem and its history, proofs and practice in application. Students find perimeters, areas and volume of everyday objects. Learners state and explain the theory.
Curated OER
Nets and Surface Area - Mental Math
In this mental math worksheet, students use mental math to find the surface area and determine nets of the given shape. They use an information sheet as an aide to find the answer to 30 questions.
Curated OER
Calculating the Area of a Triangle
A quick definition and the formula for finding the area of a triangle is provided at the top of this worksheet. After reading the description, 5th graders must find the area of the 3 given triangles. This is an excellent enrichment...