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Proofs of the Pythagorean Theorem
Working individually and collaboratively, geometers gain a clear understanding of the Pythagorean theorem. They create, explain, and compare proofs of the theorem. Proofs involve areas of trapezoids, squares, and triangles, congruent...
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Mapping Worksheet #1
Get out the compass and a pencil its time to use a coordinate grid to practice mapping skills. Young cartographers use the prompts and provided grid to plot locations, draw parallel lines, and determine distances between points.
National Gallery of Canada
Home Sweet Home
What are your pupils' homes like? Incorporate their homes into a drawing lesson. Using an enlarged photograph, class members draw a grid so they can easily split their drawing in half. The final product should demonstrate cool colors,...
National Gallery of Canada
Taken Out of Perspective
Art does not always have to look perfectly realistic. Play with proportion and shape by stretching images. Pupils study works of art by Picasso, Cézanne, and Monet before selecting a photograph to adapt. They use a distorted grid to...
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Interior Designer for a Day
Seventh graders organize a 20 x 17 room with a given set of furniture pieces. Arrangement is to be based on maximum comfort and practicality. This lesson is a good way to teach and reinforce the mathematical concept of area.
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"it's All in the Cellar"
Seventh graders examine the process of constructing a site plan map at archaeological sites. They discuss the process of mapping techniques and calculation of percentages, create a plan site map of a cellar at Jamestown, and calculate...
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Searching the Attic
Students investigate an attic or basement to "discover" family artifacts. They develop a grid map using string, create a naming system for the grid, and analyze items of interest.
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Math: Solving Area and Perimeter Problems
Students visit www.explorelearning.com/ Website to solve problems in area and perimeter. Next, they locate the vertex of a quadratic equation. In groups, students construct application problems and exchange them with other groups to...
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Measurement: Lesson 2
Fourth graders find the perimeter of a geometric shape by adding the lengths of the sides. They find the area of a square or rectangle by counting square units. Students use multiplication to find the area of a rectangle. They estimate...
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Exploring Length and Perimeter
Sixth graders determine the perimeter of geometric shapes with a grid at technology based resource. While looking at figures on an overhead, they determine how much border they would need to go around a figure. They also complete...
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Shape Makes a Difference!
Students learn the difference between perimeter and area by watching a video and a hands on activity.
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Mathematics Within: Algebraic Patterns
Students analyze problem solving techniques for equations with variables by playing a game called "Smackdown". They place variable cards on a grid and use the area model to calculate an answer after spinning a game piece to determine the...
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Cube Models
Sixth graders are introduced to the concepts of area and volume. In groups, they work together to build models of square centimeters in which they are given no instructions. To end the lesson, they record the dimensions of each model...
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Rectangular Gardens
Learners create a rectangular garden using paper and tiles. In this geometry lesson, students investigate the largest possible rectangle that can be created given specific boundaries. They use grid paper to draw the rectangles creating a...
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Measurement
Seventh graders measure surface area. In this geometry lesson, 7th graders find the surface area of various geometrical shapes. Using a computer program, students compute the area of 2-D and 3-D shapes. Students use...
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Zoo Favorites
First graders construct a class picture graph and tally grid that show their favorite zoo animals. They discuss the information the graphs show and complete a personal graph based on the class example.
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The Coordinate Plane
Fifth graders use the attached worksheet, Where's My Location? - Directions, to play a game in which they plot points on a grid.
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Six Squares
Students create different shapes on grid paper. In this two-dimensional geometry lesson plan, students take turns outlining a shape made of six squares on the graph paper. They identify all shapes they see once everyone has...
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Geography Grid
Fourth graders search a database to find images and scan and affix them on an 8-foot long map of the state of Illinois. They then use it as a basis for discussion.
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Comparing Amount of Rainfall in Different Geographical Areas
Students construct rain gauges and use them to log rainfall in their school zone, local city, and region and then compare and discuss them by plotting this information.
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Tiling the Plane
Fifth graders use pattern blocks and triagular grid paper to reivew shape names, be introduced to the concept of a tiling of the plane, and determine which pattern blocks tile the plane. They are asked if they comprehend what a...
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Factoring With Polynomials
In this algebra worksheet, students factor polynomials using the greatest common factor. They also use the foil method. There are 8 questions with an answer key.
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Multiplying Polynomials
Learners explore multiplying polynomials. They observe solving polynomials using the standard order of operations, FOIL, and the box method. Throughout the demonstration, students explore strategies of solving word problems such as...
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Vectors: Follow That Arrow
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.