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Fractals Teachers' Notes
When you see a flower or a tree in nature do you see the math? This web resource contains many ideas for using fractals in a math class including Sierpinski’s triangle, Koch's Snowflake, and the Jurassic Park Fractal. Additionally, it...
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Does Your Field Measure Up
Students measure angles using a plane table kit. In this geometry instructional activity, students use trigonometric identities to find the values of the length of a football field.
Illustrative Mathematics
Gotham City Taxis
Taxi! Have your travelers figure out how far they can go in a taxi for $10.00. They must account for the mileage rate and tip in their calculation. They can set up a table or make an equation to solve for the exact mileage they can...
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Similarity and Congruence
Students explore the concept of similarity and congruence. In this similarity and congruence lesson plan, students cut out strips of paper and form a triangle. Students try to prove that their triangles are congruent using the SSS...
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Similar Triangles
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.
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Geometry Involving Figures - Week 12 (Ratio and Surface Area)
In this ratio and surface area worksheet, learners 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...
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Parts of Similar Triangles
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...
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Similarity
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 determine the...
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Geometric Applications
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.
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Identify Similar Triangles With Proofs
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...
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Similar Triangles
Students 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.
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Similar Triangles - Applied Problems
Students 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.
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...
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The Gear Game
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...
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Surface Area and Volume of Similar Solids
Learners explore similar figures. In this surface area and volume lesson, students identify the relationship between the surface area and volume of similar figures.
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Geography: Lengths, Perimeter, and Area of Similar Objects
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.
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Similarity of Length, Area, and Volume
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.
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Corresponding Parts of Similar Triangles
Here is a lesson that has learners take a look at corresponding parts of similar triangles, ratios of similarity, reductions and enlargements. They'll manipulate the scale factor (r) to observe the changes in similar triangles and then...
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Investigating Area and Perimeter of Polygons.
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.
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Polymers and Crystals: Their Role in Food Science
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...
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Using Proportions
In this similarities learning exercise, 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.
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What's My Ratio?
Young scholars investigate ratios of various objects. In this ratios of various objects lesson, students draw pictures on graph paper and then dilate or shrink the image. Young scholars determine the ratio of their pictures. Students...
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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....
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Unit 5: Worksheet 4 - Proportion
In 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...