Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students 11th - Higher Ed
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.
Lesson Plan
Curated OER

Solving Equations Using Two Operations

For Teachers 5th - 7th
Need more detail in showing your class how to solve two-step equations and proportions? This lesson plan outlines the steps young mathematicians need to solve simple equations and check their results. 
Worksheet
Curated OER

Systems of Inequalities

For Students 9th - 11th
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. 
Lesson Plan
Curated OER

Graphing To Solve Systems of Equations

For Teachers 9th - 11th
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...
Worksheet
Curated OER

Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation activity, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
Worksheet
Curated OER

Setting up Systems

For Students 12th - Higher Ed
In this systems of equations learning exercise, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by...
Lesson Plan
Curated OER

Solving Systems vis Elimination

For Teachers 10th - 11th
Young scholars solve systems of equation using elimination. In this algebra instructional activity, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
Lesson Plan
Curated OER

Analyzing Graphs of Two Equations

For Teachers 9th - 10th
Students analyze graphs of two equations. In this algebra lesson plan, students rewrite word problems as linear equations. They graph their solution and compare and contrast the two items being represented.
Unit Plan
2
2
EngageNY

Polynomial, Rational, and Radical Relationships

For Teachers 9th - 12th Standards
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,...
Unit Plan
Benjamin Franklin High School

Saxon Math: Algebra 2 (Section 9)

For Teachers 9th - 12th Standards
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...
Worksheet
Curated OER

Linear Systems

For Students 11th - Higher Ed
In this multiplication of vectors instructional activity, 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...
Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students Higher Ed
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...
Worksheet
Curated OER

Linear Systems: Nullspace Matrix

For Students Higher Ed
In this linear systems worksheet, students explore the dimensions of a matrix. They identify the independent rows and columns. This two-page worksheet contains explanations, examples and four problems to solve.
Worksheet
Curated OER

Using Gauss Jordon to Solve Linear Systems by Elimination

For Students 11th - Higher Ed
In this math worksheet, learners practice using the method of elimination to find the solutions to the linear systems. They use the matrices to find the solutions.
Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students 11th - Higher Ed
In this vector spaces worksheet, learners 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...
Worksheet
Curated OER

Linear Systems: Matrix Operations

For Students Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Review of Vectors

For Students 12th - Higher Ed
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Point of Intersection

For Students 9th - 11th
In this algebra worksheet, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
Lesson Plan
Curated OER

Solving Systems of Equations by graphing for Algebra One

For Teachers 7th - 11th
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...
Assessment
1
1
Achieve

Rabbit Food

For Students 9th - 12th Standards
Keep your pets slim, trim, and healthy using mathematics! Pupils use a linear programming model to optimize the amount and type of food to provide to a pet rabbit. They model constraints by graphing inequalities and use them to analyze a...
Assessment
Concord Consortium

Betweenness I

For Students 8th - 11th Standards
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...
Unit Plan
Mathematics Vision Project

Module 6: Congruence, Construction, and Proof

For Teachers 8th - 10th Standards
Trace the links between a variety of math concepts in this far-reaching unit. Ideas that seem very different on the outset (like the distance formula and rigid transformations) come together in very natural and logical ways. This...
Worksheet
Curated OER

Linear Systems: Vector Spaces

For Students Higher Ed
In 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.
Worksheet
Curated OER

Linear Systems: Rectangular Matrices

For Students Higher Ed
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...

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