In this matrix inverse worksheet, students identify a matrix which when multiplied by a coefficient matrix, it transforms into an identify matrix. They use the Gauss-Jordan elimination process to find an inverse matrix. This four-page...

Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...

Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation...

In this math worksheet, students sketch the regions that give rise to three integrals. They find the volume of a solid in the first octant bounded by a defined cylinder and a parabaloid. Students change a function to polar coordinates....

Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...

In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, students are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...

Students solve systems of equations. In this algebra lesson, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.

How do changes in DNA affect an organism? Scholars explore chromosomes, genes, DNA, and mutations by modeling the DNA of a strawberry. They build a DNA model, then manipulate it to show how changing the genes transforms the strawberry...

In this pivot learning exercise, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page learning exercise contains examples, explanations, and...

Students use fractals to analyze nature. In this geometry lesson, students work in groups using technology and math to communicate. They identify where in the real world fractal can be seen.

In this vector spaces worksheet, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page worksheet contains 13 problems.

Students compile research notes on the Great Depression through library and internet research. They research a New Deal policy and orally present their findings in order to create a class matrix on the different New Deal policies of the...

Multiplication in polar form is nice and neat—that is not the case for coordinate representation. Multiplication by a complex number results in a dilation and a rotation in the plane. The formulas to show the dilation and rotation are...

Young scholars explore the history of cryptography. They assess function notation and transformation, matrix operations, and the fundamentals of modular arithmetic. Using graphing calculators, students develop their own encryption...

In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...

Middle schoolers explore the transformation of America's economy in response to the Industrial Revolution in terms of patterns of agricultural and industrial development relating to climate, natural resource use, markets and trade.

In this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...

Students are able to synthesize information on increasing regulatory reforms during the Progressive Era through individual research and presentation of material. They are responsible for a list of regulatory reforms with dates and...

In this identifying pivots worksheet, students use algebra to find equivalent systems of equations. This four-page worksheet contains examples, explanations and approximately ten problems.

In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.

Learners explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson plan, students use a function integrator applet to investigate two-variable function iterations. Learners use Julia set and...

The symmetry of a trangle on the coordinate plane is discovered through the 2X2 matrix transformations.

Nine problems present practice working with matrix transformations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View Solution" button to check each...