Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...

Change the y-intercept by adding a constant to the function. Individuals move three functions vertically along the y-axis. As they observe how the equation of the functions change with the vertical movement, learners determine how...

Young scholars identify the slope of a line and use it to solve real life problems. In this algebra lesson plan, students write linear equations in slope intercept form and make a correlation to its relation to the real world. They use...

In this linear and quadratic equations worksheet, 9th graders solve 10 different problems related to various linear and quadratic functions. First, they determine the value of a variable by equating linear and quadratic equations. Then,...

In this least squares approximation learning exercise, students 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...

In this conic sections and nonlinear equations worksheet, students solve 25 multiple choice problems. The worksheet is a review of the conic sections and nonlinear systems chapter of an intermediate algebra course, so the topics vary...

In this linear inequalities activity, 10th graders solve 10 different problems that include various forms of linear inequalities. First, they determine the relationship of the numbers. Then, students multiply or divide to get like terms...

In this math worksheet, students write the slope intercept form of lines. In the first ten problems, students are given a point on the line and the slope. On the second ten problems students find the equation when given two points on the...

In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...

In this graphing linear inequalities worksheet, 9th graders solve 5 different pairs of problems. For each pair of equations, they graph the solution set for each the given inequalities. Then, they determine if any or all of the solution...

In this symmetric matrices instructional activity, learners explore the characteristics of symmetric matrices. This two-page instructional activity contains examples and explanations concerning symmetric matrices. Two problems are...

In this Eigenvalue and Eigenvector learning exercise, students examine the applications of matrix exponentiation. This four-page learning exercise provides explanations and examples, as well as three problems to complete.

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

In this "Eigenvalues and Eigenvectors" worksheet, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.

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.

For 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.

In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.

In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...

In this diagonalizing a matrix instructional activity, students explore matrix factorization and use diagonal decomposition. This two-page instructional activity contains examples, explanations and four practice problems.

In this projection learning exercise, students determine the projections of a given matrix. This four-page learning exercise contains explanations and examples and approximately ten problems to complete.

Students explore graping linear equations and their relevance to real life situations. After a teacher led demonstration, students work at their desks and on the board to plot points and determine the slope of a line. Students then...

Young scholars practice graphing a linear equation and a parabolic equation. They work cooperatively to select numbers, including fractions, which they will put into ordered pairs. Students explain their process to the class, discussing...

In this linear functions worksheet, students define 5 terms. They solve 6 problems for the specified term. Students graph 3 linear equations. They write the equations for 14 problems using the given information. There are 28 problems in...

Learners solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.