Young scholars investigate systems of linear inequalities as they apply to an area of land. They practice graphing systems and determine if a point lies in the solution. 

Students use the Geometer's Sketchpad to illustrate possible answers to a parallelogram problem. As a class, they discuss the point-slope and linear equation forms. Individually, students solve their equations and check the results on...

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

Students read real world problems, determine the variables, and set up the function using algebraic statements. After entering data into the graphing calculator, they display information in the form of graphs and scatter plots. ...

In this chemical reaction worksheet, young scholars define equilibrium, determine what affects the progress of a reaction, and compare and contrast entropy and enthalpy. This worksheet has 5 fill in the blank, 5 short answer, and 16...

Kepler decided to think outside the box and discovered that planets orbit in elliptical patterns. An engaging activity demonstrates the elliptical orbit pattern in relationship to the area of a planet to explain Kepler's Second Law....

In this linear algebra learning exercise, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and...

In this linear systems worksheet, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...

Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...

In this math worksheet, they write down and solve a differential equation governing the motion of an underdamped spring. Then they find the solution to the initial value problem.

Students write equations of a line. For this algebra lesson, students investigate the assassination of JFK through linear equations. They calculate the length of given line segments.

For this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.

In this LU decomposition worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.

Students examine how physical quantities and laws depend distance, mass and time. They examine the MKS system; meter, kilogram and second, for doing calculations.

"Fore!" All right, no one really yells this out in miniature golf, but this well-defined activity will have your charges using lots of numbers in their unique design of a miniature golf hole. Included in the activity criteria is the...

This is an apt assignment for chemistry takers that are studying ionic solutions. Eight questions require problem solving and critical thinking to answer. The first question instructs learners to use a table in the textbook, but you can...

For this least squares approximation worksheet, learners use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...

Seventh graders explore changing currency. For this international math lesson, 7th graders will write and solve 2-step equations in order to convert currencies between nations. Students will research prices of items and currency...

Students investigate the concentration level of solutions. In this math/science lesson, students identify three different ionic compounds. They predict the conductivity of each using their collected data.

In this vector spaces learning exercise, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...

Students investigate shapes and patterns. In this algebra lesson, students move from concrete to abstract understanding of shapes and concepts. They use variable to identify the unknown.

In this column space instructional activity, students find the column spaces of given matrices. This two-page instructional activity contains examples of and explanations. One problem is provided for students to complete.

In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.

For this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.