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Lesson Plan
Illustrative Mathematics

Base and Height

For Teachers 5th - 7th Standards
It is easy to find the area of a triangle where the base and the height are given. But in this resource, it is up to your geometers to identify the base and height of the triangle. In fact, your pupils will learn that there are three...
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Lesson Plan
Alabama Learning Exchange

Triangle Area: No Height? Use the Sine

For Students 9th - 12th Standards
No height? No problem! Learners use their knowledge and a little help from GeoGebra to develop the Law of Sines formula. The Law of Sines helps to determine the height of triangles to calculate the area.
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Interactive
Scholastic

Study Jams! Area of a Triangle

For Students 4th - 6th Standards
Even though there is a wide variety of different triangles in the world, knowing a single equation allows us to find the area of each and every one of them. Follow along with this step-by-step presentation as Zoe clearly models how to...
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Lesson Plan
Mathalicious

On Your Mark

For Teachers 7th - 8th Standards
With many factors leading to a great athlete, does height make Usain Bolt unfairly fast? Middle schoolers conduct analysis to change the running distance of the Olympic races to be proportional to the height of the participants. They...
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Interactive
Curated OER

Triangle Problems-Base, Height, and Area

For Students 10th
In this geometry worksheet, 10th graders find the base, height, or area of a triangle. The one page interactive worksheet contains ten questions. Answers and hints are included. 
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Interactive
Curated OER

Triangle Area by OnlineMathLearning.com

For Students 6th - 8th
In this online math activity, students practice finding the area of triangles, given their outside dimensions. When complete, students submit their answers and get instant feedback regarding their accuracy.
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Interactive
Curated OER

Triangle Problems - Find the Height given the Area

For Students 9th - 12th
In this online math worksheet, students find the height of 5 triangles given their area. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific teaching tool!
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Activity
Illustrative Mathematics

Same Base and Height, Variation 1

For Teachers 5th - 7th Standards
Four triangles are depicted for learners to construct on a geoboard. They compute and compare the areas, and so meet one of the sixth grade Common Core standards for geometry. Note that the set of triangles does not include a right...
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Worksheet
Curated OER

Height of Trapezoid

For Students 8th - 9th
In this geometric area worksheet, learners find the height of four trapezoids whose area and base are given. There is work space provided in this worksheet.
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Lesson Plan
Curated OER

Stories from Africa

For Teachers K - 2nd
Learners discuss the size of adult African elephants after a demonstration on their height. They try to guess the animal of discussion based on clues given about their size and characteristics. As a class, they try to identify other...
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Lesson Plan
Curated OER

Why Do We Add The Bases To Find The Area of A Trapezoid?

For Teachers 6th - 8th
Students are given patterns of trapezoids and are to calculate the area of one trapezoid by using both patterns. They should form a parallelogram and calculate the area. They practice this technique until there is understanding.
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Lesson Plan
Virginia Department of Education

Similar Solids and Proportional Reasoning

For Teachers 9th - 11th
Double the dimensions, quadruple the surface area. Pairs build similar prisms and compare the ratios of their surface areas and volumes to the ratio of the heights. Given two similar cones, partners determine the ratios of the lateral...
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Lesson Plan
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Illustrative Mathematics

Equal Area Triangles on the Same Base II

For Teachers 9th - 12th Standards
A deceptively simple question setup leads to a number of attack methods and a surprisingly sophisticated solution set in this open-ended problem. Young geometers of different strengths can go about defining the solutions graphically,...
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Worksheet
CPM

Cones and Spheres

For Students 9th - 10th Standards
Geometry whizzes solve and complete 24 different problems that include determining the volume and surface area of spheres and cones. First, they use the given information to determine the volume of a cone. Then, pupils use the given...
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Worksheet
Curated OER

Area of Parallelogram Worksheet - Word Version

For Students 6th - 10th
In this area of parallelograms learning exercise, students find the area of parallelograms where the base and height are given. Students complete 4 problems.
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Worksheet
Curated OER

Area of Triangles 2

For Students 9th - 12th
For this area of triangles worksheet, students solve 18 area of triangles problems.  Students find the area of various types of triangles given a graph of the triangle.
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Interactive
Curated OER

Trapezoid Problems - base1, base2, height and area

For Students 9th - 12th
For this online math worksheet, learners must find the missing measurement in a variety of trapezoids. This excellent resource allows the students to check their answers, and to get "hints" should they run into difficulties. A terrific...
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Organizer
Curated OER

Problem-Solving Strategy: Draw a Diagram - Problem Solving 11.3

For Students 4th - 5th
In this drawing a diagram to solve word problems learning exercise, students practice the understand, plan, solve, and check technique for solving word problems by drawing diagrams. Students solve two word problems.
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Activity
Indian Institute of Technology

Could King Kong Exist?

For Teachers 9th - 12th Standards
The title says it all: Could King Kong exist? Investigate how increasing the dimensions of an object affects its surface area and volume to mathematically conclude whether a creature with the weight and height of King Kong could actually...
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Assessment
Inside Mathematics

Swimming Pool

For Teachers 9th - 11th Standards
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
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Lesson Plan
Curated OER

Geometry Practice: Area of Polygons #8

For Teachers 9th - 12th
In this area of polygons worksheet, students solve 7 short answer and multiple choice questions about area.  Students find the area of triangles given base and height, or points in the coordinate plane.
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Lesson Plan
Curated OER

Volume of Prisms

For Teachers 9th - 10th
Students calculate the volume of different polygons. In this geometry lesson, students identify the relationship between base and height. They calculate the area of each prism and cylinder.
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Worksheet
Curated OER

Area of Parallelograms

For Students 10th
In this area of parallelograms worksheet, 10th graders solve 8 problems that include finding the area of various parallelograms. First, they find the area of each given figure in number 1-3. Then, students find the area of each shaded...
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Lab Resource
US Department of Energy

Go Far Cars Ramp: A Basic Ramp with Four Height Settings

For Teachers 6th - 12th Standards
Precise measurements make the job easier! One of the challenges when using an inclined plane for testing comes from pupils not using exact measurements. They often rely on books that slide or different ramp lengths when experimenting. By...