Worksheet
Curated OER

Linear Systems: Linear Equations

For Students 11th - Higher Ed
In this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Worksheet
Curated OER

Linear Systems: Linear Equations, Vectors and Matrices

For Students Higher Ed
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Interactive
Curated OER

Example and Steps to Solving Linear Systems Using Substitution

For Students 8th - 11th
In this linear equation worksheet, students solve five systems of linear equations using the substitution method.  Three examples with steps to solve are provided.
Worksheet
Curated OER

Linear Systems: Identifying Pivots and Multipliers

For Students Higher Ed
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.
Lesson Plan
Curated OER

System of Two Quadratic Inequalities

For Teachers 10th - Higher Ed
Students graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.
Lesson Plan
Curated OER

Systems of Linear Inequalities in Standard Form -- Lecture

For Teachers 6th - 8th
Students participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and complete a...
Lesson Plan
Curated OER

Systems of linear inequalities in standard form

For Teachers 7th - 9th
Learners practice graphing linear inequalities and explain their solution sets to the solving of a system of linear equalities graphically and symbolically. They utilize programming techniques in setting up and solving systems of linear...
Worksheet
Curated OER

Radical Equations

For Students 9th - 12th
In this radical equations worksheet, students complete short answer questions about radical equations. Students answer 7 questions and look at many examples.
Worksheet
Curated OER

Linear Systems

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

Conjectures and Conclusions

For Teachers 9th - 10th
Students draw conclusions and make conjectures given a specific scenario. In this geometry lesson, students model real life scenarios using properties of triangles. They model number facts and explain why the outcome is what it is.
Lesson Plan
Curated OER

What Are The Chances

For Teachers 7th - 11th
Students calculate the probability of an event occurring. In this probability lesson, students differentiate between independent, dependent or compound events. They find the range of the data.
Lesson Plan
Pennsylvania Department of Education

Alike and Different

For Teachers Pre-K - 2nd
Students compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Students classify object and build ideas about variables....
Lesson Plan
Curated OER

System of Two Quadratic Inequalities

For Teachers 10th - 12th
Students set up and solve a system of quadratic inequalities related to real-world situations.
Lesson Plan
Curated OER

Systems of Linear Inequalities in Slope-Intercept Form -- Lecture

For Teachers 6th - 8th
Students are introduced to linear inequalities in slope-intercept form. As a class, they participate when needed in a demonstration given by their teacher and practice graphing inequalities and describing the solution. They set up and...
Lesson Plan
Curated OER

Can You See the Music?

For Teachers 4th
Fourth graders examine the makeup of the electromagnetic spectrum and how the various forms of EMRs are similar and different from each other. They, in pairs, solve problems from worksheets imbedded in this lesson plan.
Activity
Paul Dawkins

Paul's Online Notes: Algebra: Systems of Equations

For Students 9th - 10th Standards
Learners examine how to solve systems of equations. Topics investigated are linear systems with two variables, linear systems with three variables, augmented matrices, and nonlinear systems. Class notes, definitions, and examples with...
Unknown Type
Khan Academy

Khan Academy: Algebra I: Systems of Equations: Age Word Problems

For Students 9th - 10th
Solve age word problems with a system of equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Algebra: Equivalent Systems of Equations

For Students 9th - 10th Standards
Determine whether a couple of given systems of equations are equivalent or not to a third given system. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Khan Academy

Khan Academy: Algebra I: Equivalent Systems of Equations Review

For Students 9th - 10th Standards
Two systems of equations are equivalent if they have the same solution(s). This article reviews how to tell if two systems are equivalent. Examples are provided.
Unit Plan
Khan Academy

Khan Academy: Number of Solutions to a System of Equations Algebraically

For Students 7th - 8th Standards
Determine the number of solutions of a given system of equations by considering its algebraic solution process. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unknown Type
Khan Academy

Khan Academy: Check Solutions to Systems of Equations

For Students 6th - 8th Standards
In this exercise, students check solutions to systems of equations. Students receive immediate feedback and have the opportunity to get hints and try questions repeatedly.
Unit Plan
Khan Academy

Khan Academy: Systems of Equations Word Problems Capstone

For Students 9th - 10th
Solve word problems that involve systems of equations, where there can either be a single solution, no solution, or infinite solutions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a...
Unit Plan
Khan Academy

Khan Academy: Systems of Equations Word Problems

For Students 9th - 10th
Solve word problems by modeling them into a system of equations and solving it. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Unit Plan
Khan Academy

Khan Academy: Number of Solutions to a System of Equations Graphically

For Students 7th - 8th Standards
Determine the number of solutions of a given system of equations by considering its graph. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.