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#### Exit Ticket 6.G.1

For Students 5th - 6th Standards
Monitor young mathematicians' spacial thinking skills with this formative assessment on composing and decomposing shapes. To start, students must draw lines that break shapes into rectangles and triangles before drawing their own shape...
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#### Exit Ticket 6.G.1 Item 3

For Students 5th - 6th Standards
Challenge young mathematicians' ability to compose and decompose shapes with this open-ended geometry problem. Given that a polygon has a certain area and is made up of two different rectangles, students must draw and label the...
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#### Application Task 6.G.1

For Students 5th - 6th Standards
Let's plant a vegetable garden! Using their knowledge of area, young mathematicians must draw a design for a garden that includes at least three different sections and covers a given area.
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#### 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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#### Triangle Area

For Teachers 6th - 9th Standards
While the lesson focuses on right triangles, this activity offers a great way to practice the area of all triangles through an interactive webpage. The activity begins with the class taking a square paper and cutting in in half; can they...
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#### Study Jams! Area of Irregular Figures

For Students 5th - 8th Standards
Painting an irregular figure can be tricky if we don't know the exact area. This interactive presentation reveals that irregular figures can be broken into smaller, simple figures that use the area formulas. Go through two examples,...
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#### 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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#### Find the Area of a Right Triangle

For Students 5th - 7th Standards
Help your class develop a greater understanding of the area of a right triangle. The video starts by reviewing the area of a rectangle and noting that the rectangle is made up of two congruent triangles. Learners are then shown that in...
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#### Painting a Barn

For Teachers 5th - 7th Standards
When painting a barn you have to calculate surface area, and that is exactly what this resource is about. Not only will your future home owners calculate the surface area, but also the cost. It is a real-life problem that every that...
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#### Finding Areas of Polygons, Variation 1

For Teachers 5th - 9th Standards
An exercise in finding the area of polygons by decomposing into triangles and composing into rectangles is the focus of this resource. Make several copies of the worksheet for each participant. Ask learners to use colored pencils to...
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#### Same Base and Height, Variation 2

For Teachers 5th - 7th Standards
This is a good model for learners to visualize triangles of the same base and height. They can can begin to comprehend that these triangles will have the same area no matter how the triangle is drawn. It is part of a series of resources...
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#### Manufacturing: Gas Metal Arc Welding (GMAW) Shielding Gas Mix

For Teachers 6th - 12th Standards
Middle schoolers apply math to the real-world skill of choosing the correct shielding gas mixture for welding. Even if you do not have shielding gas cylinders on hand for demonstrating, the concepts of converting percentages into...
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#### Architecture and Construction: Stair Construction

For Teachers 6th - 12th Standards
Within the context of the construction industry, algebra pros begin to calculate slope from the sizes of stair steps. This is a terrific lesson, especially for aspiring engineers. Just be aware that it might be a stretch to meet all of...
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#### Hospitality and Tourism 1: Safety and Sanitation

For Teachers 6th - 12th Standards
Math and science come alive in this career-related lesson on sanitation. Along the way, learners explore bacterial growth rates using exponential notation and graphs. A link to a very brief, but vivid video shows just how quickly these...
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#### Writing Task 6.G.1 ~ Area of a Hexagon

For Students 5th - 7th Standards
The exercise asks geometers to determine the area of a hexagon. Ideally, they would do so by decomposing it into triangles, finding the area of one triangle, and then multiplying it appropriately. For this way, they completely fulfill...
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#### Dream Room Design

For Teachers 3rd - 6th Standards
Junior designers brainstorm the elements that a bedroom might have, such as a bed, television, and dresser. They identify which items are needs and which are desires. They practice measurement skills in the classroom by determining its...
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#### Dog Gone Again!

For Teachers 3rd - 7th Standards
Here is a real-life lesson! Learners must plan the dimensions of a rectangular fence to reign in a runaway dog. They survey what shape and size fence is needed and use formulas to find perimeter and area of the fence. They explore what...
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#### Polygons-Changing Area Versus Changing Perimeter

For Teachers 5th - 8th Standards
Investigate the area and perimeter of polygons in this geometry activity. Young geometers use grid paper to draw a quadrilateral and calculate its area and perimeter. They also read The Greedy Triangle to identify the changing shape of...
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#### Resource Sheets

For Students 4th - 8th Standards
This extensive and far-reaching collection of worksheets puts a new twist on many basic concepts. Learners use multiplication to trace a path from one point to another, tile a plane by converting between improper and proper fractions,...
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#### Health Science: Back to Basics

For Teachers 6th - 12th Standards
This instructional activity focuses on unit conversion, proportions, ratios, exponents, and the metric system. Discuss measurement with your math class and demonstrate how to solve several health-science word problems. Give learners a...
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#### 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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#### Finding the Area of Shapes

For Teachers 4th - 6th Standards
Emerging engineers explore, experience and practice the concept of area through problem-solving activities. Using a geoboard, they find that polygons can be composed of several smaller shapes.
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#### The Sum of the Interior Angles of a Polygon

For Teachers 4th - 5th Standards
Junior geometers discover that polygons can be decomposed into triangles and that the number of triangles can be determined by a rule. Note that the Geometer’s Sketchpad® software is required to carry out all components of this lesson...
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#### Bedroom Redecoration Project

For Teachers 5th - 7th Standards
In this bedroom redecoration project, your young mathematicians become interior designers. They plan, draw, and determine finances for the project. They apply their knowledge of working with decimals, geometric shapes, and problem...