Illustrative Mathematics
Rectangle Perimeter 1
Creating an expression to represent the perimeter of a rectangle is a fundamental beginning skill in learning how to use and define variables. This activity starts with the basics and can be followed up with additional tasks.
Curated OER
The Pythagorean Theorem
Young scholars research Pythagoras and learn how to apply his theorem. They solve real life problems using the theorem and demonstrate knowledge of exponents, equations, and radicals. Students include diagrams in their research papers.
Curated OER
Perimeter and Circumference
Pupils understand the definitions for perimeter and circumference and know the difference. They then go over sample problems as a class. Students use drill and practice skills to complete activity pages.
Curated OER
Geometry Practice: Loci and Transformations
This resource guides young geometers to create new polygons from others of equal area, compare an image to its reflection and find errors, conduct repeated reflections, map translations, and determine center of rotation. No solutions are...
Curated OER
Geometric Shapes: Area and Perimeter
There's a reason this worksheet is done in groups! Tricky word problems give geometry scholars a challenge as they use prior knowledge about shapes to find the area and perimeter given a few measurements. Students will enjoy discovering...
Curated OER
The Limit Definition of a Definite Integral
For this calculus worksheet, students calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
Curated OER
Area Applet
Elementary math classes calculate the area of a shape and explain the correlation between the size of the perimeter and the areas that can be contained within that perimeter. They also explain the effect the shape of the perimeter has on...
Curated OER
Cylinders and Scale
Students review what a cylinder is and how a cylinder is measured. They build a variety of cylinders with different heights and radii. They compare the surface area and volume of each cylinder and discuss anything that surprises them...
Curated OER
Sorting and Classifying
Fifth graders are engaged in sorting and classifying geometric shapes of various colors and sizes. They discuss the properties of these shapes and illustrate a range of classifications using Venn diagrams.
Improving Measurement and Geometry in Elementary Schools
The Sum of the Interior Angles of a Polygon
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson.
Curated OER
Worksheet 5 - Vectors & Physics
In this vectors worksheet, students determine the amount of work it takes to move objects, they determine if vectors are parallel or orthogonal and identify the displacement direction and the force direction. This one-page worksheet...
Curated OER
Worksheet 17 - Area
In this area worksheet students read story problems, determine the necessary information to solve the problem. They find the amount of material needed to construct three-dimensional figures. Students determine the greatest and least area...
Curated OER
Countdown Challenge: Triangle Inequality Theorem
In this triangle inequality worksheet, students test the Triangle Inequality Theorem. They measure the sides of given triangles, identify the type of triangle, and name angles in the triangle. The one-page worksheet contains 36 problems.
Utah Education Network (UEN)
It's All Just Similar to Me
Middle schoolers explore the concept of similar figures. In this similar figures lesson, pupils calculate scale factors of similar triangles. They find missing sides of triangles, and measure angles using protractors and measure sides of...
Houghton Mifflin Harcourt
Developing the Concept: Triangles and Quadrilaterals
Exact narrative and examples make this lesson on polygons easy to implement. Through it, your class will learn how to use a protractor and ruler to construct triangles and quadrilaterals according to your directions. Your class will be...
Curated OER
Finding the Area and Perimeter of Polygons
Seventh graders practice finding the area and perimeter of polygons. In this polygon area lesson, 7th graders brainstorm shapes and take a walk to locate shapes. Students record properties of shapes and use various shapes to make a...
Curated OER
Geometry Journal: Isosceles Triangles
In this isosceles triangles worksheet, students justify and determine the symmetry of an isosceles triangle. They explore the bisector of rectangles. This three-page worksheet contains two problems. Answers are listed on page three.
Curated OER
Geometry Chapter 7 Practice Test
In this geometry worksheet, 10th graders review problems that review a variety to topics relating to right triangles, including, but not limited to the Pythagorean Theorem, simplifying radicals, special right triangles, and right...
Futures Channel
Folding Circles
Students investigate properties of circles. In this geometry lesson, students differentiate between similarity and congruence as they observe polygons. They investigate properties of two and three dimensional shape.
Curated OER
Splitting the Penstock
Students investigate the best way to calculate the measurements of an area. In this geometry activity, students relate a large circle to a cylinder and its measurements. They use PVC pipes to gain hands on experience as they calculate...
Curated OER
Box It Up
Students calculate the surface area of prisms. In this geometry lesson, students investigate the properties of prisms and analyze ways to calculate the are of a rectangular prism. They derive the formula for surface area.
Curated OER
Volume and Surface Area
Young scholars explore volume and surface area. In this math instructional activity, students fill boxes with cubes to identify the volume of the boxes. Young scholars discuss area.
Curated OER
Square Roots Using a Carpenter's Square
Students calculate the square root of a given number using carpenter's square measurements. In this math lesson, students relate this method on the Pythagorean theorem. They answer practice problems after the exploration activity,
Curated OER
What is Happening?
Review area, perimeter and volume using this lesson plan. After reviewing key vocabulary relating to these concepts and answering story problems, learners compute the perimeter, area, surface area, and volume of five storage boxes.
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