Virginia Department of Education
Similar Triangles
Pupils work in pairs to investigate what it takes to prove that two triangles are similar. They work through various shortcuts to find which are enough to show a similarity relationship between the triangles. Small groups work with the...
EngageNY
More About Similar Triangles
Determine whether two triangles are similar. The lesson presents opportunities for pupils to find the criterion needed to show that two triangles are similar. Scholars use the definition of similarity to find any missing side...
Inside Mathematics
Rhombuses
Just what does it take to show two rhombuses are similar? The assessment task asks pupils to develop an argument to show that given quadrilaterals are rhombuses. Class members also use their knowledge of similar triangles to show two...
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
Parallel Lines and Proportional Parts
In this parallel lines and proportional parts worksheet, 10th graders solve 6 problems that include applying the theorems involved in proportional parts of triangles. First, they identify and describe each theorem. Then, students find...
Curated OER
Mean Twisters - Mean Proportional
In this mean proportional instructional activity, students work in pairs to solve right triangle problems. They use ratios and proportions of similar triangles to determine a missing length. This two-page instructional activity...
Curated OER
Proportions
In this proportion activity, students compare two proportionate shapes and find the length of the "x" side. There are four pairs of shapes. Shapes include triangle, rectangle, parallelogram and a trapezoid.
Curated OER
Proportional Parts Homework
In this geometry learning exercise, students differentiate between similarity and proportion. They use scale factor as they solve for the different proportions. There are 15 questions.
Curated OER
Using Proportions Self Check Quiz
In this geometry worksheet, students identify the different ratios of triangles using the theorems. They use SSS, SAS, ASA and AAS to differentiate between triangles. There are 7 questions with an answer key.
Curated OER
Similarity: Instructional
In this similarity worksheet, students solve and complete 7 different problems that include determining various dimensions of mirrors shown. First, they find the length of the diagonal of the large mirror in the diagram. Then, students...
Curated OER
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine...
Curated OER
Task: Range of Motion
If you have ever injured your shoulder, you know it takes a while to improve your arm's range of motion. For this real-world example, young mathematicians gain insight into the world of physical therapy while they analyze a case study...
Mathematics Assessment Project
Modeling Motion: Rolling Cups
Connect the size of a rolling cup to the size of circle it makes. Pupils view videos of cups of different sizes rolling in a circle. Using the videos and additional data, they attempt to determine a relationship between cup...
Curated OER
Practice: Word Problems
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...
Curated OER
Task: Miniature Golf
"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...
Curated OER
Countdown Challenge: Similarity
For this similarity worksheet, students use similar rectangles to find the length of a diagonal. They use symbols and write paragraphs to explain the problem. This one-page worksheet contains one similar problem with 13 related questions.