Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
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...
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra worksheet, 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 answer...
Curated OER
Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
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...
Curated OER
Linear Systems: Nullspace Matrix
In this linear systems activity, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page activity contains explanations, examples and four problems to solve.
Curated OER
Using Gauss Jordon to Solve Linear Systems by Elimination
For this math worksheet, students practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
Curated OER
Linear Systems: Vector Spaces
In this vector spaces worksheet, 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...
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Linear Systems: Matrix Operations
In this matrix operations worksheet, students find the dot product of matrices. They use the elimination method to solve linear equations. This two-page worksheet contains explanations, examples and three problems.
Curated OER
Linear Systems: Review of Vectors
In this review of vectors learning exercise, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page learning exercise contains approximately ten...
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Border Patrol
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.
Curated OER
Point of Intersection
In this algebra worksheet, learners graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
Curated OER
Solving Systems of Equations by graphing for Algebra One
Students watch the teacher demonstrate on an overhead projector how to graph various equations before the students try them on their own. They start with pencil and paper; once they grasp the concept they move on to punching in the...
Virginia Department of Education
How Much is that Tune?
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Rochester Institute of Technology
Skateboard Assembly - Cycle Time
Assemble a great lesson on assembly lines. In the first installment of a nine-part technology/engineering series, future entrepreneurs learn about the manufacturing process, specifically about the assembly line and cycle time. The lesson...
Curated OER
Linear Systems: Vector Spaces
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
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Linear Systems: Rectangular Matrices
In this rectangular matrices worksheet, students complete solutions to given matrices. They identify the pivot columns and examine the nullspace of a matrix. This four-page worksheet contains examples, explanations and approximately...
Curated OER
Linear Systems: Lengths and Dot Products
In this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.
Curated OER
Linear Systems: Methods of Computing Determinants
For this determinant worksheet, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page worksheet contains explanations,...
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
In this column space and nullspace of a matrix worksheet, students are give a three by three matrix. They describe the kind of subspace it is. Students find the nullspace of the matrix.
Curated OER
Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations lesson plan, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence...
Curated OER
Numerical Analysis: Nonlinear Equations
In this nonlinear equations worksheet, students use iterative methods for solving systems of nonlinear equations. This four-page worksheet contains eight multi-step problems.
Curated OER
Algebraic Solution of a Quadratic, Linear System
In this algebra instructional activity, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
Achieve
Ivy Smith Grows Up
Babies grow at an incredible rate! Demonstrate how to model growth using a linear function. Learners build the function from two data points, and then use the function to make predictions.