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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
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....
Unit Plan
Beyond Benign

Water Bottle Unit

For Teachers 9th - 12th Standards
How much plastic do manufacturers use to create water bottles each year? The class explores the number of water bottles used throughout the years to determine how many consumers will use in the future. Class members compare different...
Worksheet
Curated OER

Drops on a Penny

For Students 3rd - 4th
A helpful activity describes an interesting demonstration on the surface tension of water. Learners guess how many drops of water the heads side of a penny will hold. This resource does a great job of describing just how a penny can hold...
Lesson Plan
Curated OER

Cut It Out!

For Teachers 8th - 11th
Learners calculate the surface area of polygons. In this geometry lesson, students use spacial reasoning to find the answer to their problem. They analyze solids and create formulas to estimate the measurements of the area.
Lesson Plan
Curated OER

Bubbles Everywhere!

For Teachers 8th
Eighth graders use concrete and graphic models to derive formulas for finding perimeter, area, surface area, circumference, and volume of two- and three-dimensional shapes. This activity is a fun way to practice measurement and circle...
Lesson Plan
Curated OER

The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
Lesson Plan
Curated OER

Volume Of A Prism

For Teachers 8th
Eighth graders investigate the concept of a prism and finding the volume. They begin the inquiry by attempting to find the surface area in order to begin the inquiry. Students are expected to apply memory for the mathematical formulas in...
Worksheet
Curated OER

Triangles

For Students 10th
In this triangles worksheet, 10th graders solve 10 different problems that include determining the measurement of various angles. First, they determine the area of a triangle illustrated on the sheet. Then, students use the picture to...
Lesson Plan
Curated OER

Geometry Institute Lesson

For Teachers 6th - 8th
Students practice geometry skills. In this geometry lesson, students find the surface area of cubes and prisms, identify shapes on solids, and distinguish between 2-dimensional objects and solids.
Lesson Plan
Curated OER

Geoboard Area

For Teachers 3rd - 6th
Students explore the basic geometric shapes and geometric shape vocabulary through the use of geoboards and virtual geoboards. They create a variety of shapes with a partner, build ten different rectangles on their geoboards, and...
Lesson Plan
Curated OER

Length, Perimeter and Area

For Teachers 9th - 10th
Learners analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationship
Lesson Plan
Curated OER

The Area of a Circle

For Teachers 8th
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Worksheet
Curated OER

Geometry: Calculating the Area of a Circle

For Students 7th - 9th
In this area worksheet, learners use the perimeter or radius to determine the area of a circle. This one-page worksheet contains 8 problems. This worksheet may be produced in printed form. Answers may be viewed on-line.
Lesson Plan
Curated OER

Perimeter All Around

For Teachers 3rd - 5th
Students explore perimeter and area of regular and irregular polygons. They experiment with color squares and create different arrangements using the same number squares. Then they compare the area and perimeter measurements of each.
Worksheet
Curated OER

Naming Geometric Shapes

For Students 5th - 8th
Name that shape! This simple worksheet has learners identify each geometric figure. They examine rectangular prisms, cylinders, rectangular pyramids, and hexagonal prisms. This one-page worksheet contains 8 problems, and the goals seems...
Worksheet
Curated OER

Prisms and Pyramids Homework

For Students 8th - 10th
In this surface area and volume of prisms activity, students identify the requested measurement of each of 10 geometric shapes. The first two shapes are rectangular prisms, students tell surface area and volume. The next three shapes ask...
Lesson Plan
Curated OER

Area and Perimeter Relationships

For Teachers 6th
Sixth graders explore the relationship between area and perimeter. After discovering the definition of perimeter, 6th graders work together to create designs for a flower bed. They observe that the perimeter remains constant even...
Lesson Plan
Curated OER

Introduction to Area

For Teachers Higher Ed
In this area worksheet, students find the area of four rectangles when given the drawings with grid markings inside each. They use the area formula to find the area of five rectangles. This worksheet is intended to be used as a part of a...
Worksheet
Curated OER

Finding Perimeter and Area

For Students 5th - 8th
In this area and perimeter worksheet, students are given the equations to find the perimeter and area of objects. They practice finding the perimeter by measuring the sides of given objects and adding them together. They find the area of...
Lesson Plan
Curated OER

Surface Area to Volume Ratio

For Teachers 7th - 10th
Students examine the surface area to volume ratio and how they relate.  In this surface area lesson students complete several activities.
Lesson Plan
Curated OER

Surface Area of Cubes and Rectangular Prisms

For Teachers 8th
Eighth graders calculate surface area of 3-D shapes. In this geometry lesson, 8th graders analyze cubes and prisms by finding their area and surface area. They compare the data of these two shapes.
Worksheet
Curated OER

Supplemental Algebra Problems

For Students Higher Ed
In this volume learning exercise, students compute the volume of geometric shapes. Each problem is an application (or word) problem. Students are given the appropriate formula and dimensions of the shape. Two problems ask about surface...
Lesson Plan
Curated OER

Exploring Number and Operation in Secondary Mathematics

For Teachers 5th - 8th
Young geometers need a clear understanding of perimeter, volume, and area. This lesson provides a worksheet to help small groups of learners to calculate various measurements of objects and choose the proper units for measurement. It...
Activity
Exploratorium

Viral Packaging

For Teachers 6th - 12th
Create a protective protein shell as a package. Using the included template, pupils tape together 20 triangles to create a 20-sided shape to represent the protective shell of a virus. The model of the protein shell incases the nucleic...