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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....
Lesson Plan
Curated OER

Geometry, Measurement & Reasoning

For Teachers 7th - 9th
Students measure prisms and determine their volume. For 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...
Lesson Plan
Curated OER

Giant Museum

For Teachers 2nd - 4th
Scholars make a giant scale model of an object. They will take a regular item and enlarge it to five times its length and width. They attempt this same concepts with a 3D model.
Unit Plan
New York City Department of Education

Designing Euclid’s Playground

For Teachers 10th Standards
Create a geometric playground. Pupils work through a performance task to demonstrate their ability to use geometric concepts to solve everyday problems. The accompanying engineering design lessons show teachers how the assessment works...
Lesson Plan
Virginia Department of Education

The Rate of a Chemical Reaction

For Teachers 9th - 12th Standards
If your pupils think a catalyst is a list of their cats, then this might be the lesson for you! Young chemists study the effect of temperature, catalysts, concentration, and particle size on reaction rates during four different...
Lesson Plan
Curated OER

Review Geometric Figures

For Teachers 9th - 10th
Youngsters review different geometric figures and shapes. In this geometry lesson, pupils use formulas to calculate area, perimeter, circumference and volume of geometric shapes. They calculate the surface area also.
Lesson Plan
Curated OER

Volume of Rectangular Prisms

For Teachers 6th - 8th
Introduce the procedure needed to find the volume of a rectangular prism. Learners rank various prisms such as cereal boxes and tissue boxes from smallest to largest volume. They use an applet to find the volume and surface area of each...
Lesson Plan
Curated OER

Exploring Area and Perimeter

For Teachers 4th - 6th
Two students are blindfolded and each receives a cardboard square, one with pompoms glued around the edge and one with pompoms glued all over the surface. They identify what they feel. The class discusses perimeter and area of polygons....
Lesson Plan
Curated OER

Cylinder Volume Lesson Plan

For Teachers 10th
Tenth graders define the formula for cylinders and use it to solve real world problems. In this geometry lesson, pupils differentiate between area, perimeters, 2D shapes, 3D shapes, and volume of prisms, cylinders and spheres. They...
Lesson Plan
Curated OER

Volume of Cones

For Teachers 9th - 12th
Young scholars identify the volume of cones and pyramids. In this geometry lesson, students derive the formula for cones and pyramids. They calculate the volume of cones and other three dimensional shapes.
Lesson Plan
Curated OER

Perimeter and Area of 2D Shapes

For Teachers 6th - 7th
Young scholars find the perimeter and area of circles, triangles, and rectangles. In this perimeter and area activity, the teacher gives students formulas for each shape and measurement and works through examples on the board. While no...
Lesson Plan
Curated OER

Area Lesson Plan

For Teachers 5th - 6th
Students manipulate a variety of materials and computer applets in order to explore area and the units used to measure it.
Lesson Plan
Curated OER

Troublesome Towers

For Teachers 8th - 10th
Learners observe solids and identify parts that make up the surface area. In this geometry instructional activity, students calculate the surface are of solids and cones. They find polygons and solids in the real world.
Worksheet
Curated OER

Perimeter, Circumference and Area

For Students 9th - 11th
In this measurement worksheet, students identify the area, perimeter and circumference of a diagram. They also find the size of a pond based on the diagram shown on the sheet. Finally, students calculate how much carpet is needed to be...
Lesson Plan
Mathematics Assessment Project

Optimizing Coverage: Security Cameras

For Teachers 6th - 7th Standards
Are you being watched? Class members determine where to place security cameras protecting a shop. They then evaluate their own and several provided solutions.
Worksheet
Curated OER

Stellar Temperature, Size and Power

For Students 11th - Higher Ed
In this stellar temperature of stars worksheet, students use a given formula that relates the stellar light output with the surface area and temperature of a star to solve 3 problems. Students find luminosities of different stars and...
Lesson Plan
Curated OER

Living Room Redecoration

For Teachers 7th - 12th
The student calculate area and perimeter based on the dimensions of a living room. They determine the amount of supplies needed for painting and carpeting the room. Students create a portfolio of their information.
Lesson Plan
Curated OER

Cafeteria Mayhem

For Teachers 9th - 12th
Students design a cafeteria floor plan. For this area and perimeter lesson, groups create an efficient lunchroom layout on poster board by using geometric shapes and formulas as the basis for their designs. In the accompanying writing...
Activity
Mrs. Burke's Math Page

The Amazing Pi Race

For Teachers 7th - 12th Standards
Add a sense of excitement to your math class with this race across the country. Using their knowledge of all things circular, young mathematicians work in pairs answering a series of pi-related word problems as they hop from one city to...
Assessment
Noyce Foundation

Lawn Mowing

For Teachers 6th - 7th Standards
This is how long we mow the lawn together. The assessment requires the class to work with combining ratios and proportional reasoning. Pupils determine the unit rate of mowers and calculate the time required to mow a lawn if they work...
Worksheet
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Curated OER

Practice: Word Problems

For Students 5th - 7th Standards
Congratulations, you've just hit the word problem jackpot! Covering an incredible range of topics from integers and fractions, to percents, geometry, and much more, this collection of worksheets will keep young mathematicians...
Activity
Teach Engineering

Scale Model Project

For Students 8th - 10th Standards
Try your hand at scale models. Scholars create a scale model of an object using a scale factor of their choice. As part of the project, they give presentations on their processes and calculations. This is the last installment of the...
Lesson Plan
Curated OER

Geometry: Practical Applications of the Distance Formula

For Teachers 9th - 10th
Young scholars, working independently and in groups, apply the distance formula to practical situations. After solving various problems, students in pairs design coordinate planes from the school blue print to measure the distance from...
Lesson Plan
Curated OER

The Value of Volume

For Teachers 9th - 11th
Students measure the perimeter and area of their polygons. In this geometry lesson, students calculate the volume and area using the correct tools. They calculate the time and temperature and the perimeter and side lengths of triangles.