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Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn to work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.

Common Core: HSN-VM.C.12

The following diagram shows how to use determinants to find the area of a polygon. Scroll down the page for more examples and solutions.

**2D Area and determinants**

Introduction to calculating area of a parallelogram in the plane using a 2×2 determinant.

**Area of a triangle with determinants**

This method uses the formula of the parallelogram, by moving the triangle such that one vertex is at the origin.**Determinants to Find the Area of a Triangle**

This video shows how to use determinants to find the area of a triangle where the vertices are not at the origin.**Determinants to Find the Area of a Polygon**

This video shows how one can use determinants to find the area enclosed by any polygon.**Application of Determinants: Area on the Coordinate Plane**

This video shows how to use determinants to calculate the area of a triangle and parallelogram on the coordinate plane.

The formula involves finding the determinant of a 3x3 matrix.**Determinant of a matrix as the area scale factor of the transformation**

Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

Examples, solutions, videos, and lessons to help High School students learn to work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.

Common Core: HSN-VM.C.12

The following diagram shows how to use determinants to find the area of a polygon. Scroll down the page for more examples and solutions.

Introduction to calculating area of a parallelogram in the plane using a 2×2 determinant.

This method uses the formula of the parallelogram, by moving the triangle such that one vertex is at the origin.

This video shows how to use determinants to find the area of a triangle where the vertices are not at the origin.

This video shows how one can use determinants to find the area enclosed by any polygon.

This video shows how to use determinants to calculate the area of a triangle and parallelogram on the coordinate plane.

The formula involves finding the determinant of a 3x3 matrix.

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