Curated OER
Trapezoid and Midpoint Rule
Students solve problems of area using the trapezoid and midpoint rule. In this calculus lesson, students take the derivative of the functions as they approximate the area under a curve. They calculate the exact area using the area formula.
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Finding Areas of Plane Figures
Learners compute areas of squares, rectangles, and so on and summarize the formulas for computing areas and explain how the formulas are derived and understand the reasoning behind them.
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Perimeter and Area
Seventh graders develop strategies for finding the perimeter and area of large geometric figures. Through lecture and guided practice, 7th graders practice the strategy of dividing a geometric shape into smaller more manageable shapes...
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Areas of triangles, trapezoids, and rhombi
Students solve geometry problems. In this area and perimeter lesson, students use formulas to solve problems from the textbook.
Curated OER
Algebra/Geometry Institute: Area of Polygons
Students find the area of polygons. For 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 needed to...
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Finding The Area Of Shapes
Fourth graders investigate the concept of computing the area using different shapes. They use prior knowledge in order to devise a formula for a parallelogram. Scaffolding is provided by the teacher to find the formula of area for...
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Surface Area of Prisms
Students calculate the surface area of different prisms. In this geometry lesson, students identify the shapes of solids based on the properties of that solid. They calculate the surface area using nets and properties of prisms.
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Geometry: Area Project
Sixth graders identify and use area formulas for finding the area of geometric shapes.
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Does the Area of the Quadrilateral Change?
Seventh graders complete activities to further their understanding of area formulas. In this area lesson, 7th graders watch as the teacher uses Polystrips to model parallelograms. Students find the area of a rectangle and answer...
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Finding the Area of a Triangle
Fifth graders investigate the area of a triangle. In this geometry lesson, 5th graders practice finding the area of a triangle using the correct formula: 1/2bh.
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Area Under A Curve
Calculus young scholars use the derivative and integral to solve problems involving areas. They calculate the area under a curve as they follow a robot off road making different curves along the drive, using Riemann Sums and Trapezoidal...
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Connecting Formulas Related to Geometric Figures
Students identify diagrams of quadrilaterals and circles by different names and classify the figures. They name the areas for each diagram and practice solving the formulas for each.
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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.
Illustrative Mathematics
Distance across the channel
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Curated OER
Median of a Trapezoid
Students find the median of trapezoids and other polygons. In this geometry instructional activity, students identify important properties of trapezoids. They create trapezoids and polygons using Cabri software.
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Lesson 9-3 Practice B: Composite Figures
In this composite figures worksheet, students solve 11 short answer problems. Students find the area of figures composed of various polygons. Students find the area of each figure given a sketch of the figure with various measurements...
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Area Unit
Learners solve the area for parallelograms,squares, rectangles, trapezoids, and triangles. In this geometry lesson, students compare and contrast two dimensional shapes and apply their properties to solving real life scenarios. This is a...
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Finding Areas of Polygons- Extra Practice Worksheet
In this geometry worksheet, young scholars practice finding the area of 11 polygons using diagrams which include units in both standard and metric measurement. They solve for the area of 11 polygons using words that describe the polygons...
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Geometry: Area
Learners visit various websites to calculate the area of circles, triangles, rectangles, trapezoids, and parallelograms. They explore math problems and play interactive games dealing with geometry.
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Linear/Planar Geometry - Week 5
In this linear and planar geometry worksheet, learners use the Pythagorean Theorem, equation of a line, slope of a line and area formulas to solve problems. This three-page worksheet contains seven problems.
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How Big Is It?
Fifth graders look at the Garrison flag and estimate how big it is. In this measurement lesson plan, 5th graders then calculate the area and perimeter of the flag.
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Investigation-Looking at Polygons
Eighth graders plot points and investigate polygons. They locate a point, using ordered pairs of integers on the coordinate plane. Students compare geometric measurements and computations on coordinate axes as they are applied to...
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Quadrilateral Attributes
Students classify quadrilaterals. In this quadrilateral lesson plan, students identify the characteristics of quadrilaterals. They write their findings in a journal. Students use geoboards to create quadrilaterals from given descriptions.
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