Curated OER
Triangles & Congruence, Proportions & Similarity, Right Triangle & Trigonometry
Young scholars 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...
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
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...
Radford University
How Tall is the Tree?
Pairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...
Curated OER
Proportional Segments Between Parallel Lines
High schoolers identify similar triangles. In this proportional segments instructional activity, students identify corresponding sides, set up ratios, and find the length of the missing side of a triangle. They use the...
Curated OER
Identifying Similar Triangles
In this identifying similar triangles worksheet, 10th graders solve 6 different types of problem that include identifying and comparing similar triangles. First, they identify the three ways that determine whether two triangles are...
Curated OER
Similar Triangles
In this similar triangles worksheet, 10th graders solve and complete 10 different problems related to determining the sides of similar triangles. First, they write three equal ratios to show the corresponding sides that are proportional....
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...
Helping with Math
Ratio and Proportion: Writing Ratios (2 of 2)
Elementary and middle schoolers use pictures to figure out simple ratios and complete ratio word problems. An example is done for learners in which three apples and seven oranges are displayed. The answer simply is a ratio of 3:7. The...
Curated OER
Scale Drawing
Students use ratio and proportions to solve problems. In this geometry instructional activity, students apply ratio and proportions to real life scenarios.
Curated OER
Paper Pool
Students 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, and...
Curated OER
Proportional Similarities
Pupils model the geometric relationship with graphing. In this geometry lesson, students differentiate between parallel, perpendicular, similar and congruent shapes. They use properties of polygons to differentiate their shapes correctly.
Curated OER
7.RP Music Companies, Variation 1
We've got the beat! And your musically-minded mathematicians will tap their toes as they determine which music company would be getting a better deal based on their offers to buy out TunesTown. The topic is extended in an additional task...
Curated OER
Ratio Relationships
Students solve for the different ratio and proportion of a problem. In this geometry instructional activity, students show their knowledge of how to solve proportional relationships. They convert between percent, decimals and fractions.
Curated OER
Similarity and Congruence
Students determine that two figures are similar or congruent by
investigating figures that are similar and figures that are congruent. They prove that two figures are similar or congruent by using definitions,
postulates, and theorems.
Curated OER
Clay Portrait Project
Students discuss facial proportions and mix colors similar to flesh tones. In this art lesson, students draw and paint a portrait and then translate this image into a 3D form using clay.
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...
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...
Mathed Up!
Area of Sector and Length of Arcs
Viewers learn how to apply proportional reasoning to find area of sectors and arc lengths with a video that starts off explaining how to find the areas of circle sectors and the lengths of arcs. Scholars then practice solving problems...
Curated OER
Ratio Measures
In this ratio measures worksheet, 10th graders solve and complete 8 different types of problems. First, they find the largest angle of a hexagon. Then, students solve the proportions shown. They also name the similar figures by filling...
Curated OER
Maps
Students figure out the mileage from one state to another using a map. In this map lesson, students look at the scale factor and turn it into a fraction. They measure the distance between two cities and use the proportion to find the...
Inside Mathematics
Hopewell Geometry
The Hopewell people of the central Ohio Valley used right triangles in the construction of earthworks. Pupils use the Pythagorean Theorem to determine missing dimensions of right triangles used by the Hopewell people. The assessment task...
Curated OER
Can a Geometric Mean be Nice?
In this Geometry instructional (work)sheet, students are instructed on how to find the geometric mean. Students are then shown how the geometric mean is applied to proving similar triangles.
Curated OER
THE MEAN INDEX CARD
Young scholars cut an index card to create three similar right triangles and explore the congruencies and proportions that exist. They investigate the properties of lines and concepts of congruency, similarity, tangency and symmetry of...