PBL Pathways
Lake Pollution
Explain the timing of a lake cleanup to the EPA using calculus. A project-based learning opportunity has learners compare rate functions to compute a total change. Their solutions explain the time needed to rid a lake of pollutants.
Curated OER
Integral Exchange: Applying Integration By Substitution
In this math worksheet, students practice using the method of substitution with the integrals. They read the examples and then work in groups to apply the method.
Curated OER
Integration by Substitution and Integral Exchange
In this integration worksheet, students evaluate integrals using a prescribed method. This two-page worksheet contains two problems.
Curated OER
Evaluating Expressions
In this evaluating expressions worksheet, 9th graders solve 10 different problems that include evaluating various forms of expressions. First, they evaluate the equations for the given values of x in each of the 4 boxes. Then, students...
Curated OER
Evaluating Definite Integrals With Substitution
Students investigate how to evaluate the definite integral with using substitution. They evaluate expressions when using the substitution method to find the definite integral. The instructional activity includes example problems for the...
EngageNY
Linear Systems in Three Variables
Put all that algebra learning to use! Using algebraic strategies, learners solve three-variable systems. They then use the three-variable systems to write a quadratic equation given three points on the parabola.
Curated OER
Solving Problems Using Systems of Equations
In this system of equation worksheet, students use the substitution and elimination methods to solve systems of equations. Students must read a short story, write the equations the story represents, and then solve the systems of...
Curated OER
Substitution Method
In this calculus worksheet, students solve the function using the derivatives. They use properties of derivative and trigonometry to help them find the trig values. There are 28 problems.
Curated OER
Systems of Equations
In this systems of equations worksheet, students solve ten sets of problems by using the substitution method. They first decide which variable they are going to solve for, x or y. Then, students replace that value with the other equation...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
Curated OER
Solving Systems of Linear Equations in Three Variables
Practice solving linear systems of three equations with three unknowns using the elimination method and substitution method. This handout includes graphics of different combinations of intersecting planes to help illustrate the different...
Curated OER
Unit 9 Review
Middle and high schoolers solve and complete 15 various types of problems that include evaluating expressions and graphing. First, they use the substitution method to solve pairs of equations for a variable. Then, students write out a...
Curated OER
Systems of Equations (Systems Project Part 1)
In this systems of equations worksheet, students identify and explore three ways to solve systems of equations: graphing, substitution, elimination. They discuss the strengths, weaknesses, and write an algorithm for each method. ...
Curated OER
Evaluating Definite Integrals with Substitution
Students evaluate and define limits using substitution. In this calculus instructional activity, students apply the use of Integrals to explore Newton's law of Cooling. They solve rate and temperature problems using Integrals.
Curated OER
Which Method Will You Choose? Finding Solutions to Systems of Equations.
Ninth graders investigate systems of linear equations. In this Algebra I lesson, 9th graders determine which method is the best for solving a systems: graphing, substitution, or elimination. Students choose a method and create a...
Curated OER
Solving Systems of Equations
Learners explore the concept of solving systems of equations with two equations and two unknowns. In this solving systems of equations lesson plan, they work through problems of solving systems by substitution, elimination, and graphing....
Curated OER
Algebraic Solutions
In this algebraic solutions activity, 9th graders solve 10 different sets of simultaneous equations. First, they solve one of the equations such that one variable is defined in terms of the other. Then, students take the new definition...
Curated OER
The Elimination Method
Tenth graders investigate the Elimination Method in the solving of equations. They solve the equation using this method in examples with the teacher and then transfer the new knowledge to independent practice.
West Contra Costa Unified School District
Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
Mathed Up!
Simultaneous Equations with a Quadratic
Viewers discover how to solve quadratic-linear systems with a video that first explains the substitution method for solving a system of equations involving a quadratic. Scholars then complete a worksheet of practice problems.
Curated OER
Solving Systems of Linear Equations
In this linear equation worksheet, young scholars solve systems of linear equations by using the substitution and elimination methods. Explanations and examples are provided prior to the problems. There are 20 problems to solve on this...
Curated OER
Solving Problems Using Systems of Equations Section 8.3
In this system of equations worksheet, pupils solve problems involving systems of equations. They read short stories, write equations relating to the information, and solve the systems of equations using the substitution or elimination...
Curated OER
Systems and Applications
In this algebra worksheet, 11th graders solve 14 systems of equations using substitution or elimination and 14 word problems.
Charleston School District
Pre-Test Unit 6: Systems
As if solving equations with an x isn't tricky enough, now they add a y, too? A pre-assessment gauges the knowledge of your classes related to systems. They are asked to solve graphically and algebraically and to solve word problems.