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Curated OER
Linear Systems; Permutations and Transposes
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six 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: Eigenvalues and Eigenvectors
In this eigenvalues instructional activity, students find the eigenvalues and eigenvectors of a given matrix. This two-page instructional activity contains examples, explanations and two practice problems.
Curated OER
Linear Systems: Elimination
In this elimination worksheet, students use the elimination process to transform a system into an equivalent form. This three-page worksheet contains three practice problems as well as examples and explanations.
Curated OER
Linear Systems: Gauss-Jordan Elimination
In this Gauss-Jordan learning exercise, students use the Gauss-Jordan method to find an identify matrix. This two-page learning exercise provides examples, explanations and two practice problems.
Curated OER
Linear Systems: The Inverse Matrix
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
Curated OER
Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector worksheet, students find the eigenvalue and eigenvector of a given matrix. This two-page worksheet contains four problems.
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
In this matrix worksheet, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page worksheet contains four problems.
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
Teach Engineering
The Challenge Question
A research position becomes a modeling job. The introductory lesson in a series of nine presents the challenge of analyzing a set of bivariate data. The class brainstorms what the data may represent. Pupils must decide what is needed to...
Illustrative Mathematics
Fruit Salad
Playing with values in this fruit salad problem allows learners to find out how many cherries were mixed in. Your middle schoolers can organize their thoughts in a chart before going into the equation. Eigth graders can skip the chart...
Willow Tree
Direct and Inverse Variations
Enhance pupil understanding of proportions and variable relationships by studying direct and inverse variation. Use the idea of a proportional relationship to teach direct variation. Then use a similar pattern to help individuals...
EngageNY
Solve for Unknown Angles—Angles and Lines at a Point
How do you solve for an unknown angle? In this sixth installment of a 36-part series, young mathematicians use concepts learned in middle school geometry to set up and solve linear equations to find angle measures.
EngageNY
Inequalities
The 13th activity in the 28-part module asks scholars to write linear inequalities from a problem situation. Individuals then solve and interpret their results in the context of the problem.
Curated OER
Strike a Pose: Modeling in the Real World (There's Nothing to It!)
Adjust this lesson to fit either beginning or more advanced learners. Build a scatter plot, determine appropriate model (linear, quadratic, exponential), and then extend to evaluate the model with residuals. This problem uses real-world...
Curated OER
Solving Systems of Equations by graphing for Algebra One
Pupils 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...
Curated OER
Graphing Linear Inequalities
Eighth graders extend skills for representing and solving linear equations to linear inequalities. Lesson activities build understanding and skill by plotting ordered pairs of numbers that either satisfy or do not satisfy a given...
Curated OER
Introducing Linear Terminology
Ninth graders graph linear equations and inequalities in two variables and then, they write equations of lines and find and use the slope and y-intercept
of lines. They use linear equations to model real data and define to define the...
Curated OER
Exploring Equations and Y-Intercept
Students graph linear equations using intercepts, find y-intercept, find x-intercepts and graph linear equations that use horizontal and vertical lines.
Curated OER
Slope Intercept Form
In this slope intercept form instructional activity, students solve and graph 6 different problems that include identifying the slope and intercepts in each graph. First, they determine the line that has a given x-and y-intercept. Then,...
Curated OER
Analytic Geometry
In this analytic geometry worksheet, 9th graders graph and solve 13 different types of problems that include determining whether equations are linear to matching given equations to their corresponding equation in the second column....
Curated OER
Introduction to Functions
Students explore functions, function rules, and data tables. They explore terms of linear functions. Students use computers to analyze the functions. Students write short sentences to explain data tables and simple algebraic expressions.
Curated OER
Equations Lesson Plan
Seventh graders play "What's my Rule" beginning with simple equations and working towards harder problems as student's gain confidence. They evaluate the equations by graphing them. Students identify the slope and y intercepts of the...
Curated OER
Mobius Card- An Impossible shape
In this algebra worksheet, students solve word problems using linear equations and algebraic symbols. There is one problem with an answer key.