Curated OER
House Project
Make young mathematicians' dreams a reality with this fun drawing project. Given the task of designing their dream home, students create drawings and physical models that demonstrate their understanding of proportion and scale.
EngageNY
Special Relationships Within Right Triangles—Dividing into Two Similar Sub-Triangles
Why are right triangles so special? Pupils begin their study of right triangles by examining similar right triangles. Verifying through proofs, scholars recognize the three similar right triangles formed by drawing the altitude. Once...
Curated OER
Baseball Proportion
Eighth graders measure regular baseball bats and souvenir bats in centimeters. They determine how tall a person would be to be in proportion to the souvenir bat, create a poster depicting the person, and explain the proportional...
Curated OER
Proportionality Using "Jack & the Beanstalk"
Students apply ideas of proportionality from "Jack and the Beanstalk." They compare objects that are proportional to Jack with those that are in proportion to the Giant. They measure their hands and use those measurements to determine...
Curated OER
Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry
Students are introduced to the topic of congruence and proportions in Geometry. Using technology, they construct and validate the properties of various geometric figures and identify whether it is congruent or proportion to the objects...
Curated OER
Solve for Scale Factors Using Proportions
Eighth graders solve problems using proportions with scaled drawings. They work with maps and blue-prints discussing scales and plans and examine different polygons and figure out the scale factors or proportions they have been changed by.
Curated OER
Sports Action Figure
Fourth graders identify art elements and design principles in art such as movement, unity, space and color planning.
Curated OER
The Stained Glass Window
Learners use centimeter rulers and the attached worksheet containing a scale drawing of a stained glass window. The actual measurements of the stained glass window are given, and students are asked to find the actual measurement of the...
Curated OER
Using Ratios
Students study the Golden Ratio and its relationship to Renaissance artists. After exploring proportions and ratios used by Renaissance artists, students create a mix of ten variations of color paint, and record the ratios of primary...
Curated OER
Clay Portrait Project
Students discuss facial proportions and mix colors similar to flesh tones. In this art lesson plan, students draw and paint a portrait and then translate this image into a 3D form using clay.
Curated OER
Paper Pool
Young scholars explore ratio and proportion, GCF, and LCM. In this middle school mathematics lesson, students play an interactive Paper Pool game that provides an opportunity to increase their understanding or ratio, proportion, GCF,...
Noyce Foundation
Which is Bigger?
To take the longest path, go around—or was that go over? Class members measure scale drawings of a cylindrical vase to find the height and diameter. They calculate the actual height and circumference and determine which is larger.
Willow Tree
Circle Graphs
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
EngageNY
The Side-Angle-Side (SAS) and Side-Side-Side (SSS) Criteria for Two Triangles to Be Similar
Playing with mathematics can invoke curiosity and excitement. As pupils construct triangles with given criteria, they determine the necessary requirements to support similarity. After determining the criteria, they practice verifying...
Curated OER
Using Photographs and Models for Drawings
Students make drawings of their classmates in photographs.
Illustrative Mathematics
Who Has the Best Job?
Making money is important to teenagers. It is up to your apprentices to determine how much two wage earners make with their after school jobs. Participants work with a table, an equation, and a graph and compare the two workers to see...
Radford University
Exploring Coal Pillar Mining
Coal mines can be a gold mine of math applications. After reading some basic information on coal mining, learners draw blueprints of a coal pillar in the shape of a composite figure. They find the volume of material from the coal pillar...
Curated OER
Super Size It, Please!
Pupils take photos from a given distance and determine the height of the person using a scale factor. Pupils calculate the ratio of student actual height to student photo height. They take pictures from 3 different distances to see if...
Curated OER
Art Class, Variation 1
Student statisticians calculate ratios to determine how many shades of green were mixed by Ms. Baca's art class. They graph the number of blue parts against the number of yellow parts for each combination and discover that some produce...
Flipped Math
Side Splitter Theorem
Apply perspective to similarity. Individuals learn about the Side Splitter Theorem by looking at perspective drawings. Pupils use the theorem and its corollary to find missing lengths in figures. Next, they practice using the theorem and...
Curated OER
Unit 5: Worksheet 3 - Similar Triangles
In this similar triangles worksheet, students use proportions to solve for the missing sides of similar triangles. This two-page worksheet contains 16 multi-step problems.
Curated OER
What's My Ratio?
Students investigate ratios of various objects. In this ratios of various objects lesson plan, students draw pictures on graph paper and then dilate or shrink the image. Students determine the ratio of their pictures. Students trade...
Curated OER
Drawing a section of the figure, rotated into a different point of view
Learners scan a drawing and practice a blow-up procedure. They create a third generation from a second. Students are given a new point of view in handling a human figure in the drawing.
Curated OER
Proportional Similarities
Students model the geometric relationship with graphing. In this geometry lesson plan, students differentiate between parallel, perpendicular, similar and congruent shapes. They use properties of polygons to differentiate their shapes...