Curated OER
Finding Volume of Similar Figures
Upper elementary and middle schoolers examine the Volumes of Similar Figures. They investigate the relationship between corresponding sides and evaluate the volume of similar figures. Pupils record their findings on various activity...
Curated OER
Area, Perimeter and Rations Using Pentominoes
Learners of all ages investigate area and perimeter through pentominoes. In this geometry lesson, students calculate the are and perimeter of different geometric shapes and describe the properties of similar and congruent shapes. This...
Curated OER
Transforming Congruent Figures: Post Test
In this transformations worksheet, learners complete multiple choice questions about the transformations of congruent figures. They complete 10 problems.
Arizona Department of Education
Area and Perimeter of Regular and Irregular Polygons
Extend young mathematicians' understanding of area with a geometry lesson on trapezoids. Building on their prior knowledge of rectangles and triangles, students learn how to calculate the area of trapezoids and other irregular...
CK-12 Foundation
Area and Volume of Similar Solids: Similar Solids
Five questions make up an interactive designed to boosts knowledge of area and volume of solid figures. Question types include multiple-choice, true or false, and fill-in-the-blank. A scale model changes measurement to provide a visual...
Curated OER
Geography: Lengths, Perimeter, and Area of Similar Objects
Sixth graders explore characteristics of similar objects. Using attribute blocks, they explore the ratios of the perimeter, area and side length in similar shapes. They calculate and compare the area of shapes.
Curated OER
Ratio of Perimeter and Area
In this similar figures worksheet, learners complete a chart calculating the perimeter and area of four rectangles and then compare the ratios. There are 4 questions.
National Council of Teachers of Mathematics
Scale Factor
Does doubling mean everything doubles? Learners adjust the scale factor between two rectangles. Using the calculated measurements, pupils investigate the ratios between the lengths, perimeters, and areas of the rectangles.
Discovery Education
Discovering Math: Exploring Geometry
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Curated OER
Is There Mystery in Measurement?
Investigate perimeter and area of polygons! In this measurement lesson, learners use index cards to create rectangles and trace their hand to estimate its area and perimeter.
Noyce Foundation
Between the Lines
Explore linear and square dimensions by comparing areas of similar figures. A creative set of five activities designed for elementary through high school classes asks young scholars to compare areas of specific polygons. The first two...
Mascil Project
Teaching Geometry Through Play
Puzzle your way through to a new understanding of area. Scholars learn about the area of polygons through equidecomposability, the idea that polygons that can be decomposed into the same set of pieces have the same area. By using...
Curated OER
Surface Area and Volume
Students are introduced to the notion of surface area and volume. Students review surface area and volume by finding the area of a two-dimensional shape. They practice using the computer to create different surface area shapes.
Mathematics Assessment Project
Sports Bag
Why not give surface area of cylinders a sporting chance in your classroom? A strategic problem-solving task requires pupils to consider the net of a cylinder. Individuals must determine the sizes of the pieces needed to make a sports...
Noyce Foundation
Photographs
Scaling needs to be picture perfect. Pupils use proportional reasoning to find the missing dimension of a photo. Class members determine the sizes of paper needed for two configurations of pictures in the short assessment task.
Curated OER
Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
EngageNY
Replacing Letters with Numbers
When did letters become the same as numbers? Scholars learn about substituting numbers for letters to evaluate algebraic expressions in the seventh part in a series of 36. The activity focuses on expressions related to geometry, such as...
Exploratorium
Handy Measuring Ratio
Your hand can be a handy tool for measurement. Young mathematicians learn how to estimate the height of objects by applying similarity. They find the horizontal distance from the object where spreading their outstretched fingers results...
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
Discovery Education
Exploring Geometry
Middle schoolers construct a three-dimensional model of a city using both similar and congruent figures and geometric transformations. City must have at least ten buildings with each building labeled and may be constructed out of paper...
CK-12 Foundation
CK-12 Middle School Math Concepts - Grade 6
Twelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...
Curated OER
Introduction to Fractals: Geometric Fractals
Students study and observe the patterns made by the areas of the Sierpinski Triangle. Students use the computer to draw two or three iterations to discover the number patterns. Students complete worksheets based on Geometric Fractals.
Curated OER
Naming Geometric Shapes
Name that shape! This simple activity has learners identify each geometric figure. They examine rectangular prisms, cylinders, rectangular pyramids, and hexagonal prisms. This one-page activity contains 8 problems, and the goals seems...
Curated OER
Russian Boxes
Sixth graders find the scale factors for length, area and volume. They identify the center point of an enlargement and place similar objects to show a negative enlargement. They report the results of an exploration of scale factors in a...