Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...

In this magic squares worksheet, students solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum in...

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...

In the 16th lesson in the series of 32 the class uses the concept of complex multiplication to build a transformation in order to reflect across a given line in the complex plane. The lesson breaks the process of reflecting across a line...

Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.

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...

Animal reproduction in sheep and cattle is explored with the help of Punnet squares. Scholars employ tools using probability to conclude the color of wool a sheep's offspring will have. Acting as animal geneticists, pupils then take...

Working in small groups students develop three alternative boat designs. They discuss the rationale for the type of hull, propeller, location of ballast, and type of building material used in their design. They build their boat.

Students experiment with an Excel spreadsheet model that demonstrates the effects of interest on payments. They calculate actual costs, interest paid, and time necessary to pay off credit purchases and draw conclusions about the...

Students understand how they can incorporate dietary guidelines in their daily life.  In this investigative instructional activity students set dietary goals and incorporate an activity to learn how to create a new seed variety...

Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.

Students determine an appropriate numerical representation of a problem situation, including roots and powers. They determine an appropriate number of digits to represent an outcome. Pupils are asked to determine how many years it...

Twelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and...

Young scholars identify symmetry in road signs. In this geometry instructional activity, students explore objects in the real world for symmetry. They perform translation, rotation and reflection.

In this linear algebra learning exercise, students find the determinant of a matrix. Additionally, they expand rows and use the product theorem to identify which matrices are invertible. Students complete five multi-step problems.

In this math worksheet, students find the solution to the algebra problem that focuses upon the finding of the nodes and the equations have the solutions written on page 2.

In this algebra activity, students use the math application problems in order to apply the principles of conjugate pairs, vectors, and reading a matrix.

Students explore cultural diversity.  In this secondary mathematics lesson, students use jelly beans to explore diversity.  Students collect and analyze data into a matrix as they determine probabilities.

In this algebra learning exercise, students analyze the pages of a book to figure out many times the digit 7 is used in numbering the pages of a book. There is an answer key.

Third graders explore the structural composition of buildings and houses. In this math lesson, 3rd graders explain how architecture is related to mathematics. They create a blueprint of a structure with at least three different spaces.

In this linear algebra worksheet, students examine a matrix, determine the vectors, list the parameters, and identify the null space. Students explain the parameters in the description of the null space There are four problem solving...

Due to the isolation of seamounts, their biodiversity offers a great deal of information on the development of biological and physical processes. Pupils use simple cluster analysis to rate the similarity and differences in biological...

Many people confuse atomic mass and atomic numbers. The sixth of seven lessons in a unit requires scholars to find the weight of different groups of pennies. Then, they must solve how many of each type of penny exists in a closed system...

In this computing determinants learning exercise, students explore methods of computing determinants. They complete determinant problems by using the co-factor method, the "big formula" and the use of product of the pivots. This...