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Curated OER
Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Virginia Department of Education
Radical Equations
Provide students with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve...
Mathematics Assessment Project
Middle School Mathematics Test 2
A 13-page test with two 40-minute sections covers multiple years of math content. It incorporates applied problems and mathematical analysis.
PBL Pathways
Medical Insurance 2
Make an informed decision when choosing a medical insurance provider. An engaging lesson asks your classes to write piecewise models to represent the cost of different medical plans. The project-based learning activity is a variation of...
West Contra Costa Unified School District
Mixture Problems
Mix up your lessons with the resource on mixture problems. Scholars use manipulatives to model and solve mixture problems. Individuals then set up both one- and two-variable equations to solve the problems.
CCSS Math Activities
Smarter Balanced Sample Items: High School Math – Claim 2
Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...
California Education Partners
Animals of Rhomaar
Investigate the growth rates of alien animals. Pupils study fictional animals from another planet to determine how much they grow per year. The investigators plot the growth of their animals over a period of time and then compare...
Pingry School
Kinetics of the Acid Decomposition of Thiosulfate
Several factors affect the rate of a chemical reaction including temperature, surface area, and concentration. Using an experimental approach, learners explore the effect concentration has on this rate while maintaining consistency with...
Howard County Schools
Planning for Prom
Make the most of your prom—with math! Pupils write and use a quadratic model to determine the optimal price of prom tickets. After determining the costs associated with the event, learners use a graph to analyze the break even point(s).
Curated OER
The Five Equation Problem
In this algebra worksheet, 11th graders solve systems of equations by deciphering word problems and using substitution. There is an answer key for this problem.
Curated OER
Write Equation of a Line given the Slope
In this algebra worksheet, learners solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Curated OER
Equations of Lines Perpendicular and Parallel
In this algebra worksheet, students solve linear equations using one and two steps. They solve systems of equations using substitution and elimination with graphing. There are links for ready made tests and quizzes.
Curated OER
Tiles, Balances and Equations
In this algebra worksheet, students solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
Curated OER
Equations and Systems of Equations
Students practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
For 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
Algebraic Solution of a Quadratic, Linear System
In this algebra instructional activity, students solve systems of equations using linear and quadratics. They graph their solutions on a coordinate plane. There are 5 questions with an answer key.
Curated OER
Solving Quadratic Systems
For this solving quadratic systems worksheet, 11th graders solve 8 different problems. First, they solve each system of equations algebraically. Then, students solve each system of inequalities by graphing on the grids provided for each...
Curated OER
Linear Systems and Echelon Forms
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson plan, 11th graders solve a linear system using elementary row operations. Students also describe the set...
Curated OER
Math 224: Review of Linear Systems
In this linear systems worksheet, students find the intersection of two planes, and identify solutions for a linear equation. This two-page worksheet contains five problems.
Curated OER
Numerical Analysis: Successive Over-Relaxation for Linear Systems
In this successive linear systems worksheet, students use a matrix representation of iterative schemes for linear systems. They define a positive definite matrix and explore the Kahan Theorem. This two-page worksheet contains...
Curated OER
Linear Systems: Matrix Inverse
In this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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