Curated OER
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...
Curated OER
Linear Systems: Using Matrix Operations
In this linear systems worksheet, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
Curated OER
Linear Systems: Projections
In this projection activity, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page activity contains approximately five problems.
Curated OER
Linear Systems: Nullspace
In this nullspace worksheet, students explore vectors and nullspaces found in a matrix. They convert augmented matrix to echelon form. This six-page worksheet contains approximately ten problems.
Curated OER
Points of Intersection
Eighth and ninth graders solve five different problems that include solving two equations. They determine the point of intersection in each of the five pairs of equations given. Pupils define point of intersection as the point where two...
Curated OER
Solving Equations Using Two Operations
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.
Curated OER
Intersecting Graphs
Ninth graders know how to solve a system of linear equations, but what happens when the system involves an exponential function? The instructional slideshow teaches viewers to determine solutions to systems of equations with linear...
Curated OER
Extra Practice 3.2: Solving Systems of Equations
In this systems of equations worksheet, students solve 26 short answer questions. Students use substitution and linear combination to solve each system of equations.
Curated OER
Practice solving systems of equations
Eleventh graders solve systems of equation. In this algebra lesson, 11th graders find the point of intersection of two lines if there is any, using algebra and graphing. They use substitution and linear combination to find the solution...
Curated OER
Solution Sets
Here is a task that gives the graph of the solutions of a system of linear inequalities and asks learners to analyze and write the algebraic form of the systems. By turning the problem around, learners make the connections between...
Illustrative Mathematics
Summer Swimming
Here is a real-world application for systems of equations. When is it better to pay an enrollment fee and lower daily rate, and when is it better to pay the regular price? The local swim center is having a special offer, reductions in...
101 Questions
Potty Math
You don't want to flush your money down the drain! Have your classes complete a financial comparison between two different types of toilets. They use linear modeling to determine the most cost-effective model.
101 Questions
Stacking Cups
Facilitate an understanding of equality using a modeling task. After watching different-sized cups being stacked, learners use their math skills to determine when the height of each cup tower will be the same. Meant as an introduction to...
EngageNY
End-of-Module Assessment Task - Algebra 2 (Module 1)
A series of assessment tasks require learners to process information and communicate solutions. Topics include graphing parabolas, solving linear-quadratic systems, factoring polynomials, and solving polynomial equations.
CK-12 Foundation
Direct Variation: Value of a Painting
Help your pupils find a pattern of direct variation. Young scholars use input-output pairs to find a constant of variation and then write the equation. As they build their equations, the interactive lesson provides feedback.
Curated OER
Addition to Solve System of Linear Equations
In this algebra worksheet, students solve system systems of equation. They use addition to solve the problems. There are 6 questions with an answer key.
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra activity, 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 the...
Curated OER
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...
Curated OER
Solving a System Containing Equations and an Inequality
In this systems learning exercise, students solve a system containing three linear equations and one linear inequality. The solution is provided.
Curated OER
Linear Systems: Nullspace Matrix
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.
Curated OER
Linear Systems: Least Square Regression
In this least square regression worksheet, students find solutions to given linear systems. They draw pictures, draw a vector and prove the solution. This two-page worksheet contains eleven problems, with some examples and explanations.
Curated OER
Using Gauss Jordon to Solve Linear Systems by Elimination
In 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: 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 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.
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