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Noyce Foundation
The Wheel Shop
Teach solving for unknowns through a problem-solving approach. The grouping of five lessons progresses from finding an unknown through simple reasoning to solving simultaneous equations involving three and four variables. Each lesson...
Curated OER
Simultaneous Equations for Circuit Analysis
In this worksheet, learners use Algebra to plot different solutions to equations and analyze schematics in order to answer a series of 25 open-ended questions about electrical circuits. This worksheet is printable and the answers are...
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...
Concord Consortium
Betweenness I
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...
Curated OER
Review of Systems of Equations
Students work to complete various algebraic equations using different methods. Given a word problem, students create a poster identifying the various parts of the equation as well as the solution to the problem. Posters are presented...
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...
Illustrative Mathematics
How Many Solutions?
Determining the number of solutions is an important stepping stone to higher math. In this case, the resource asks algebra pupils to find a second linear equation for a certain solution of a system. When one is asked for a linear...
EngageNY
The Defining Equation of a Line
They appear to be different, yet they are the same line. Part 24 out of 33 lessons provides a theorem about the relationships of coefficients of equivalent linear equations. Pupils use the theorem to determine whether two equations are...
Curated OER
Simultaneous Equations Using Elimination
Students solve a system of two unknowns. In the Algebra lesson plan, students use a on line computer applet/program to solve a system by the elimination method. The student's work is self checking, giving immediate...
Curated OER
Graphing Solution of a Quadratic and Linear System
In this algebra worksheet, students identify the systems of equation as quadratics or linear. They graph their solutions. There are 4 questions with an answer key.
Curriculum Corner
8th Grade Math Common Core Checklist
Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was...
Inside Mathematics
Number Towers
Number towers use addition or multiplication to ensure each level is equal. While this is common in factoring, it is often not used with algebraic equations. Solving these six questions relies on problem solving skills and being able to...
Curated OER
Solving Polynomial Equations
This worksheet and tutorial explores solving more complex polynomials by graphing each side separately and finding the point of intersection, identifying the sum and differences of cubes, and solving higher degree polynomials by using...
Curated OER
Solving Linear Systems by Graphing
A worksheet that offers four problems to practice solving simultaneous equations by graphing. Equations are presented in slope-intercept form or standard form. Problems include two with unique solutions, one with no solution, and one...
EngageNY
Polynomial, Rational, and Radical Relationships
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,...
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...
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, 11th graders solve a linear system using elementary row operations. Students also describe the set of...
Curated OER
Algebraic Solution of a Quadratic, Linear System
In this algebra worksheet, 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
Solutions, Solutions, Could it Be?
Students graph and solve linear system of equations. In this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their data.
Curated OER
Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations lesson, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence and...
Curated OER
Representing Constraints
What are constraints and how can they be represented mathematically? This instructional slideshow provides an explanation and an example of how to translate constraints into algebraic inequalities.
Curated OER
Graphing Linear Functions
Students practice solving systems of linear equations using the substitution and elimination methods. They determine if the system has one, infinite or no solution. Students also graph the linear equations.
Cornell University
Predicting Chemical Reactions
Prove the Law of Conservation of Mass through a lab investigation. A well-designed lesson asks groups to combine materials and monitor indicators for chemical reactions. Measuring the mass of the reactants and products allows individuals...
Noyce Foundation
Pizza Crusts
Enough stuffed crust to go around. Pupils calculate the area and perimeter of a variety of pizza shapes, including rectangular and circular. Individuals design rectangular pizzas with a given area to maximize the amount of crust and do...