Lesson Plan
Curated OER

Similarity and Congruence

For Teachers 9th - 12th
Students explore the concept of similarity and congruence. In this similarity and congruence lesson, students cut out strips of paper and form a triangle. Students try to prove that their triangles are congruent using the SSS theorem of...
Lesson Plan
Curated OER

Similar Triangles

For Teachers 9th
Ninth graders find the height of every day objects using techniques learned through postulates that allow triangles in a problem to be similar. They calculate the length of a missing side and solve proportions.
Worksheet
Curated OER

Geometry Involving Figures - Week 12 (Ratio and Surface Area)

For Students 10th - 12th
In this ratio and surface area worksheet, students find the ratio of surface area of one figure to another. They determine the length of sides and angles through similar figures. Students use trigonometric ratios to find the length of...
Worksheet
Curated OER

Parts of Similar Triangles

For Students 10th
In this parts of similar triangles worksheet, 10th graders solve 6 different problems related to determining the value of various parts of similar triangles. First, they find the value of x in the 2 figures shown. Then, students find the...
Worksheet
Curated OER

Similarity

For Students 7th - 12th
In this similarity worksheet, students identify similar shapes.  They determine the scale factor of the similar shapes and find their volume and area.  Students enlarge shapes according to the given scale factor.  They...
Lesson Plan
Curated OER

Geometric Applications

For Teachers 8th - 9th
In this geometry worksheet, students solve 5 word problems. Each of the problems involves finding one side of a right triangle. Story problems relate the Pythagorean Theorem to building ramps, shadows, and the length of a banner.
Worksheet
Curated OER

Identify Similar Triangles With Proofs

For Students 10th - 12th
In this similar triangle worksheet, students write a two-column proof to explain why determined triangles are similar. Given some line lengths and angle measurements, students use proofs to identify the ratio of specified angles. This...
Lesson Plan
Curated OER

Similar Triangles

For Teachers 9th - 10th
Young scholars differentiate between similar and congruent triangles. In this geometry lesson plan, students identify the missing side and angle of a triangle. They identify the different ratio and proportion of the sides of a triangle.
Lesson Plan
Curated OER

Similar Triangles - Applied Problems

For Teachers 9th - 12th
High schoolers differentiate between similar and congruent triangles. In this geometry lesson, students identify the angles of triangles using the similarity theorem. They apply concepts of triangles to the real world.
Assessment
Inside Mathematics

Hopewell Geometry

For Teachers 9th - 12th Standards
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...
Lesson Plan
Curated OER

The Gear Game

For Teachers 9th - 12th
Students discuss that the conservatin of energy states that the energy imput must equal the energy output. They then figure out how can a machine help you to perform task otherwise considered impossible? Students discuss the six simple...
Lesson Plan
Curated OER

Surface Area and Volume of Similar Solids

For Teachers 8th - 10th
Students explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
Lesson Plan
Curated OER

Geography: Lengths, Perimeter, and Area of Similar Objects

For Teachers 6th
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.
Worksheet
Curated OER

Similarity of Length, Area, and Volume

For Students 9th - 11th
In this similarity worksheet, students determine the length, area and volume of similar figures. This three-page worksheet contains explanations, examples, and 20 problems. Answers are provided on page three.
Lesson Plan
Curated OER

Investigating Area and Perimeter of Polygons.

For Teachers 8th - 10th
Student sinvestigate the area and perimeter of polygons. They differentiate between similar and congruent polygons.. They identify the ratio and proportions of the sides and angles of polygons.
Lesson Plan
Curated OER

Polymers and Crystals: Their Role in Food Science

For Teachers 10th - 12th
Blend chemistry with cooking in this exploration of polymers, carbohydrates, and food science. Experimenting with gelatin produces concrete examples of the bonding and ploymerization discussed in the lesson. Copious, comprehensive...
Worksheet
Curated OER

Using Proportions

For Students 8th - 12th
In this similarities worksheet, students set up ratios and solve proportions using algebra. All of the equations turn out to be linear with no quadratics to solve. There are 20 questions.  
Lesson Plan
Curated OER

What's My Ratio?

For Teachers 3rd - 5th
Students investigate ratios of various objects.  For this ratios of various objects lesson, students draw pictures on graph paper and then dilate or shrink the image.  Students determine the ratio of their pictures. ...
Worksheet
Curated OER

Similar Triangles

For Students 10th
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....
Worksheet
Curated OER

Unit 5: Worksheet 4 - Proportion

For Students 8th - 10th
For this proportion worksheet, students use proportions to find the length of a missing side of similar triangles. They find percent of a number, and solve real life story problems with percents and discounts. This two-page worksheet...
Worksheet
Curated OER

Leveled Problem Solving Similar and Congruent Polygons

For Students 5th - 6th
In this similar and congruent polygons worksheet, students learn to solve problems using similar and congruent polygons. Students solve six problems.
Lesson Plan
EngageNY

The Scaling Principle for Area

For Teachers 9th - 10th Standards
As they investigate scaling figures and calculate the resulting areas, groups determine the area of similar figures. They continue to investigate the results when the vertical and horizontal scales are not equal. 
Lesson Plan
Curated OER

Similar or Not?

For Teachers 5th
Fifth graders define the meaning of similar and congruent using concrete objects. They make similar and congruent figures using geoboards. They draw their figures on dot paper, and color their designs.
Lesson Plan
Curated OER

Simply Similar at Sea: Simple Triangles

For Teachers 10th
Tenth graders answer a variety of problems based on similar triangle and learn about the rule of thumb. They will test the rule of thumb by estimating the distance to an object in the classroom.