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Curated OER
Which container holds a larger amount of popcorn?
What does popcorn have to do with math? Seventh grade mathematicians are provided an opportunity to develop a conceptual understanding of the formula for volume and to use it as a tool to solve problems. The lesson begins with a...
Curated OER
Area
In this area worksheet, students solve and complete 20 different problems that include the measurement of various figures. First, they determine the area of each of the triangles, parallelograms and trapezoids. Then, students determine...
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Flip's Flag
Fifth graders apply the symmetry and angle properties of polygons and use fractions to express the relationships between the areas of rectangles, squares, and triangles. They analyze various country flags and develop mathematical...
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The Law of Sines
In this law of sines worksheet, students use the law of sines to find the missing measurement in a triangle. They determine the value of angles and the lengths of triangles. Students compute the area of triangles. This four-page...
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Complex Area Problems
Students calculate the area of different polygons. In this geometry lesson, students find the area of complex polygons. They solve word problems using rates and distances.
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Special Right Triangles
Using the Pythagorean Theorem to solve for missing angles, students evaluate right triangles and their properties.
Balanced Assessment
County Concerns
Apply area concepts to help farmers and settle county disputes. Scholars use a given diagram and information about an insecticide spraying campaign to determine the monetary benefit to farmers. They then decide which of two counties has...
101 Questions
Square Partitions
Challenge your classes while developing their problem-solving skills. A square is divided neatly into four equal triangles by its diagonals until one diagonal is moved from a vertex to the midpoint of one side. Now, scholars must devise...
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Proofs Of The Pythagorean Theorem?
Even U.S. President James Garfield had his own proof of the Pythagorean Theorem! Pupils consider three different attempts at a geometric proof of the Pythagorean Theorem. They then select the best proof and write paragraphs detailing...
Mathematics Assessment Project
Evaluating Statements About Length and Area
Class members complete an assessment task by identifying whether statements about triangles and quadrilaterals are always true, sometimes true, or never true. They then participate in a sorting activity with the same objective.
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Effects of Changing Dimensions Proportionally
In this geometry worksheet, students describe the effect of a proportional change on the perimeter or circumference and area of the given circles or quadrilaterals. The one page worksheet contains ten problems. Answers are...
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Learning Unit: The Pythagorean Theorem
Middle and high schoolers research the life of Pythagoras and the Pythagorean theorem. They write a short biography of Pythagoras and learn to apply the theorem in their study of right triangles.
Discovery Education
Discovering Math: Exploring Geometry
Apply geometric properties and formulae for surface area and volume by constructing a three-dimensional model of a city. Learners use similar and congruent figures and transformations to create a city of at least 10 buildings. They trade...
Mathematics Assessment Project
Discovering the Pythagorean Theorem
Young mathematicians join the ancient order of the Pythagoreans by completing an assessment task that asks them to find the area of tilted squares on dot paper. They then look at patterns in the squares to develop the...
Illustrative Mathematics
Overlapping Squares
The objective of this activity is to find the percent of the area of a two squares overlapping. Mathematicians find the ratio of area for the part that overlaps to the rectangle formed. The final answer is a percent as a rate per 100....
Curated OER
Slope, Vectors, and Wind Pressure
A hands-on lesson using the TI-CBR Motion Detector to provide information to graph and analyze. The class uses this information to calculate the slope of motion graphs and differentiate scalar and vector quantities. There is a real-world...
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Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. In this area of polygons lesson, students find the area of parallelograms, rectangles, squares, and other polygons. They identify each given figure and determine the appropriate formula...
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Quiz: Area of Polygons and Circles
For this area worksheet, students compute the area of each of ten specified shapes. Seven of the shapes are quadrilaterals, one is a circle, and two shapes are triangles.
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Area on a Coordinate Grid
In this area on a coordinate grid worksheet, students solve and graph 10 different problems on a coordinate grid. First, they determine the area of the given figures in each. Then, students determine the length of each side of the...
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Perimeter and Area
In this perimeter and area worksheet, 9th graders solve 17 various types of problems, mostly word problems related to determining the area or perimeter of a geometric shape. They also determine the area and perimeter of shaded portions...
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Napolean Triangle
Learners investigate the Napoleon triangle theory. In this polygon lesson plan, students differentiate between the boundary points, interior and lattice point of a polygon. They apply concepts of equilateral triangles to solve...
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Areas by Dissection
In this areas by dissection worksheet, learners find the area of given composite figures. This three-page worksheet contains examples, explanations, and 16 problems. Answers are provided on page three.
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Magnetic Fields and Bermuda Triangles
Students map magnetic fields of a magnet using a compass and predict where fields cancel each other to create 'Bermuda Triangles'. For this magnetism lesson, students use a compass to map the magnetic field of a magnet. They explain how...
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Finding Perimeter and Area
In this area and perimeter worksheet, students are given the equations to find the perimeter and area of objects. They practice finding the perimeter by measuring the sides of given objects and adding them together. They find the area of...