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Measuring Activities
Students measure using both metric and standard measures. They convert from one standard to the next while measuring distances in their home or classroom.
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Long Distance Phone Plans
In this long distance phone plane worksheet, students compare various phone plans and determine which long distance plan has the greatest savings. Students support their answers visually through the use of tables and graphs. They write...
101 Questions
Coin Counting
Cash in on a great resource. After watching a video of a coin counter, pupils estimate the number of coins and the amount of money they see. They then use additional given information and systems of equations to find the actual values.
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Quadratic-Linear Systems 2: Solve Systems of Equations Involving One Linear Equation and One Quadratic Equation Algebraically
In this solving systems of quadratic and linear equations, students complete three problems. The first problem asks students to solve a system of two equations. One of the equations is a quadratic and the other is linear. The second two...
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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2 X 2 Linear Systems
Students solve 2 X 2 systems graphically and algebraically. They investigate parallel systems. They solve application problems using 2 X 2 systems.
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Solving Systems by Substitution
Students solve systems of linear equations using substitution. They investigate the steps to solving linear equations by substitution and practice problems in small groups.
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Linear Systems
For this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Dimensions of Subspaces
In this math worksheet, learners practice to find the dimensions of subspaces. They also find the solutions to the systems of equations using the matrices.
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Integrated Algebra Final Exam
In this integrated algebra worksheet, students solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
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Prius Problem #1
In this problem solving activity, students find the average mile per gallon for each of two cars. Students need knowledge of systems of equations in order to complete this problem.
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices activity, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page activity contains approximately six...
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Linear Systems: Identifying Pivots and Multipliers
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.
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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...
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Left Hand, Right Hand - Solving Systems of Equations
Students compare the speed at which they write with their left hand to the speed at which they write with their right hand. The experiment serves as a vehicle to help students develop a conceptual understanding of the three different...
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Linear Systems: Identifying Pivots and Multipliers
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.
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Solving Equations By Systematic Trial
Studentss solve equations using guess and check. In this algebra lesson, students solve linear equation using the systematic trial. They isolate and identify the missing variable using non tranditonal methods.
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Systems of Inequalities
In this Algebra I/Algebra II worksheet, students determine the solution to a system of inequalities by graphing. The two page worksheet contains explanation, instruction, and four worked problems.
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Demonstrate the Law of Conservation of Linear Momentum
Young scholars observe a demonstration of linear momentum. In this linear momentum lesson, students observe a series of demonstrations of linear momentum and qualitative observations.
PBL Pathways
Arsenic and Selenium Removal From Drinking Water at a Minimal Cost
Decide on the most efficient plan to supply drinking water. The second project-based learning task in a two-part series builds upon the first project. Pupils revisit the wells to supply drinking water, but they must make sure the...
Concord Consortium
Betweenness I
Just between us, this is a pretty cool lesson! Given two functions with the same slope, learners write three new functions whose outputs are all between the given functions. The question is open-ended, allowing pupils to explore the...
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Border Patrol ID: 11603
Incorporate technology in your classroom by teaching your students how to graph systems of linear inequalities as they apply to an area of land. The lesson provides an extension in which students are challenged to write a system of...
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Introductory Module
Third graders examine the non-standard method of measurement and compare it to the metric system of measurement. In this introductory module lesson, 3rd graders discover the scientific observation. Students also develop communication...
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Linear Systems: Independence, Basis and Dimension
For this basis and dimension worksheet, learners explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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