EngageNY
How Do 3D Printers Work?
If we stack up all the cross sections of a figure, does it create the figure? Pupils make the connection between the complete set of cross sections and the solid. They then view videos in order to see how 3D printers use Cavalerie's...
EngageNY
The Volume of Prisms and Cylinders and Cavalieri’s Principle
Young mathematicians examine area of different figures with the same cross-sectional lengths and work up to volumes of 3D figures with the same cross-sectional areas. The instruction and the exercises stress that the two...
EngageNY
How Do Dilations Map Lines, Rays, and Circles?
Applying a learned technique to a new type of problem is an important skill in mathematics. The lesson asks scholars to apply their understanding to analyze dilations of different figures. They make conjectures and conclusions to...
Curated OER
Introducing Powers and Models
Young scholars construct two dimensional models to illustrate squared numbers. In this geometry lesson, students use graph paper and an x/y axis to build squares exponentially. Young scholars identify powers and relationships between...
Curated OER
Rotational Symmetry
In this rotational symmetry worksheet, 10th graders identify and compare 10 different figures illustrated on the sheet. They write the order of rotational symmetry seen in each figure as compared to the others. They also define an object...
Curated OER
Geometry and Measurement
Students view a right triangle displayed by the teacher. Students measure legs and the interior angles of the triangle. They look for a pattern or relationship between the legs and angles. Students use pegboards and string to create more...
Curated OER
Tessellations: Geometry and Symmetry
Young scholars explore the concept of tessellations. In this tessellations lesson, students use an applet to construct tessellations. Young scholars use regular polygons to construct tessellations. Students find patterns and symmetry in...
Curated OER
Getting It Right! An Investigation of the Pythagorean Theorem
Learners construct a variety of right triangles using a right-angled set square, cutting corners from pieces of paper or cardboard, and using dynamic geometry software. They measure the sides of these various right triangles and record...
Mt. San Antonio Collage
Circles
Don't circle around the topic, but get right to the center with tons of practice regarding circles in geometry. The note-incorporated worksheet provides guided practice through many topics such as central angles, inscribed polygons...
Mt. San Antonio Collage
Postulates, Angles, and Their Relationships
More than a worksheet, learners go through geometry topics example by example on the nicely organized handout. From postulates to classifying angles, there are rules and examples provided for each topic. The ten pages of problems...
Dick Blick Art Materials
Start with a Circle...
The Golden Ratio. The Divine Proportion. Yup. It's math and art blended into one colorful activity. Young artists combine colored tissue paper circles and parts of circles to create geometric patterns. As a bonus, kids get to figure out...
Mathematics Vision Project
Module 6: Congruence, Construction, and Proof
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Virginia Department of Education
Transformations
Geometry in life-sized dimensions! Using enlarged graph paper, pupils perform a series of transformations. By recording the initial and final placement of the images, they are able to analyze the patterns in the coordinates during a...
Curated OER
Fractal and the Dragon Curve
Students explore Fractal designs. In this geometry instructional activity, students observe the different polygons created in nature and relate it to math. They define polygons on planes and rotate polygons about a point.
Curated OER
Terrific Tangrams
Third graders construct tangrams. In this tangrams lesson, 3rd graders manipulate basic shapes to construct tangrams. Students explore how shapes can be combined in different ways and develop spatial sense.
Curated OER
Algebra/Geometry Institute Summer 2007 - Perimeter of Polygons
Sixth graders find the perimeters of polygons and use perimeters to form polygons. For this perimeter lesson, 6th graders study vocabulary associated with finding perimeter such as polygon, line segment, variable, and formula. They make...
Curated OER
Geometry: Tessellations
Students create tessellations with computer software while applying their knowledge of reflections, rotations, and translations.
Curated OER
Tomb Robbers
Sixth graders identify benchmark angles as they are embedded into a circle grid. They observe the teacher using an angle ruler and complete a Star Spangled worksheet, play the game Tomb Robbers, and as a class discuss their game winning...
Curated OER
Problem Solving Using Pattern Blocks
Students use pattern blocks to create a figure that is described to them and establish a pattern based on the description of the geometric figure. In this pattern blocks lesson plan, students fill out shape and fraction worksheets.
Curated OER
Rotations (2)
In this graphing worksheet, 5th graders focus on rotations. Students use rotations of 90 degrees and 180 degrees to create 6 geometric figures that are represented.
Curated OER
Reflections (2)
In this graphing worksheet, students focus on reflections. Students use rotations to create 6 geometric figures that are represented on the x or y axis.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Why Move Things Around?
Explore rigid motion transformations using transparency paper. Learners examine a series of figures and describe the transformations used to create the series. They then use transparency paper to verify their conclusions.
EngageNY
General Pyramids and Cones and Their Cross-Sections
Are pyramids and cones similar in definition to prisms and cylinders? By examining the definitions, pupils determine that pyramids and cones are subsets of general cones. Working in groups, they continue to investigate the relationships...