• Approximating Area Using Rectangles - Problem 2

Math›Calculus›The Definite Integral
How to estimate the area under a curve, f = x^2 +1, with left- and right-hand sums.
• Volume and Surface Area - Problem 1

Math›Pre-Algebra›Introductory Geometry
Volume and surface area of cones, spheres, and cylinders
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• Area and Perimeter of Triangles - Problem 3

Math›Pre-Algebra›Introductory Geometry
Finding the area and perimeter of triangles with variables in the side lengths
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• Area With the Cross Product - Concept

Math›Precalculus›Systems of Linear Equations and Matrices
How to show that the magnitude of the cross product of two vectors gives the area of the parallelogram determined by those two vectors.
• Area With the Cross Product - Problem 2

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in the xy-plane using vectors formed from two of its sides.
• Area With the Cross Product - Problem 3

Math›Precalculus›Systems of Linear Equations and Matrices
How to compute the area of a triangle in xyz-space using vectors formed from two of its sides.
• Area and Perimeter of Rectangles - Problem 1

Math›Pre-Algebra›Introductory Geometry
Finding the area and perimeter of parallelograms with integer side lengths
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• Area and Perimeter of Triangles - Problem 2

Math›Pre-Algebra›Introductory Geometry
Finding the area and perimeter of composite shapes that contain triangles
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• Area and Perimeter of Rectangles - Problem 2

Math›Pre-Algebra›Introductory Geometry
Finding decimal approximations and exact areas and perimeters for parallelograms with square root side lengths
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• Multiplying Polynomials using Area Models - Problem 4

Math›Algebra›Polynomials
An area, or geometric model for multiplying polynomials is explored through a "rectangle" or "box" method of organizing terms.
• Area and Perimeter of Rectangles - Problem 4

Math›Pre-Algebra›Introductory Geometry
Finding possible dimensions for a rectangular fence with known perimeter
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• Regions Between Circles and Squares - Problem 2

Math›Geometry›Area
How to calculate the area of a region formed by four quarter circles inside a square.
• Regions Between Circles and Squares - Concept

Math›Geometry›Area
How to calculate the area between a square and an inscribed circle.
• Regions Between Circles and Squares - Problem 1

Math›Geometry›Area
How to calculate the area of a region formed by four circles inside a square.
• Center and Apothem of Regular Polygons - Problem 1

Math›Geometry›Area
How to find the length of an apothem in a regular polygon given a side length and the number of sides.
• Center and Apothem of Regular Polygons - Concept

Math›Geometry›Area
How to define the apothem and center of a polygon; how to divide a regular polygon into congruent triangles.
• Pythagorean Theorem Proofs - Concept

Math›Geometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• Pythagorean Theorem Proofs - Concept

Math›Trigonometry›Pythagorean Theorem
How to prove the Pythagorean Theorem using Algebra to show the area of the smaller square plus the area of four triangles is equal to the area of the larger square.
• Solving Literal Equations - Problem 1

Math›Algebra›Solving Equations
How to solve literal equations about area of a triangle.
• Similarity and Volume Ratios - Problem 3

Math›Geometry›Similarity
How to find the volume of a similar solid given the ratio of surface areas.