Charleston School District
Solving Equations with Infinite or No Solutions
Where did all the variables go? Scholars learn how to interpret an equation when they eliminate all variables during the solving process. They interpret the solution as infinite solutions or no solutions.
EngageNY
Nature of Solutions of a System of Linear Equations
If at first you cannot graph, substitute. The lesson introduces the substitution method as a way to solve linear systems if the point of intersection is hard to determine from a graph. The 28th installment of a 33-part series finishes...
Illustrative Mathematics
The Sign of Solutions
Positive or negative, zero or no solution, are all possibilities for the solution of a linear equation. Here the resource gives examples of linear equations in one variable and their type of solutions. The resource comes with commentary...
EngageNY
Classification of Solutions
Is there one, none, or more? Through discussion or activity, scholars find the properties of an equation that will determine the number of solutions. They then use the properties discovered to figure out the number of solutions for a...
CK-12 Foundation
Systems of Linear Equations in Three Variables: Intersecting Planes - No Solution
How many different ways can three planes intersect? The interactive provides three movable planes. Pupils manipulate the planes to determine the number of solutions possible based upon their intersections.
Teacher's Guide
Two-Digit Addition without Regrouping
Youngsters practice adding two, two-digit numbers without regrouping. There are 15 equations to solve.
EngageNY
Solutions of a Linear Equation
Use the distributive property to solve equations. The sixth lesson in a 33-part series has scholars solve equations that need to be transformed into simpler equations first. Class members apply the distributive property to the equations...
Curated OER
Chapter 12 Review, Section 1: Solutions
Here is a different approach to solutions: a worksheet that has chemistry learners use words to describe them! This is an outstanding exercise that will stretch learners to show what they know. They answer questions comparing solutions,...
EngageNY
Systems of Equations
What do you get when you cross a circle and a line? One, two, or maybe no solutions! Teach learners to find solutions of quadratic and linear systems. Connect the visual representation of the graph to the abstract algebraic methods.
Teacher's Guide
Two-Digit Subtraction Without Regrouping
Youngsters are prompted to find the differences in two-digit numbers without regrouping. There are 15 equations to solve.
Charleston School District
Solving Systems by Inspection
Can you solve a system by just looking at it? The previous lessons in the series taught three methods of solving systems of equations. Now learners discover they can determine the number of solutions of a system just by looking at it....
Perkins School for the Blind
Mixtures and Solutions
Mixtures and solutions are different; one can be separated fairly easily and the other cannot. This hands-on experiment was written specifically for learners with visual impairments or blindness. They will use lemonade and trail mix to...
Dream of a Nation
Solution Debate
Class members choose a current social, political, environmental, or economic problem presented in Tyson Miller's Dream of a Nation: Inspiring Ideas for a Better America, research this problem and a variety of suggested solutions, before...
Curated OER
Radical Equations
This task gives geometry learners practice in solving radical equations in one variable and zeros in extraneous solutions.
EngageNY
Solution Sets for Equations and Inequalities
How many ways can you represent solutions to an equation? Guide your class through the process of solving equations and representing solutions. Solutions are described in words, as a solution set, and graphed on a number line....
Biology Junction
Water, Solutions, pH, and Buffers
What common chemical includes safety warnings for being harmful if swallowed or inhaled, causes serious eye damage, and needs to be cleaned up immediately if spilled on the floor? Surprisingly, the dangerous chemical turns out to be...
Olomana School
Mixtures and Solutions: Paper Chromatography Experiment
Why does some ink bleed through paper, and other ink doesn't? Practice some paper chromatography to separate the colors from a pen with an interactive experiment for middle and high schoolers. Learners use a variety of solutions to track...
It's About Time
Solutions, Suspensions, and Colloids
Chemists are frequently in suspension, but not because they misbehave! Scholars mix various items with water to create solutions, suspensions, and colloids. They test each one to determine their differences and properties. The resource...
Curated OER
Finding Satisfactory Solutions
Students decide where to locate ice cream stands in a town so that no one has to travel too far to buy a treat. The problem-solving strategies for this problem give students a chance to decide what makes a solution satisfactory.
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.
EngageNY
Complex Numbers as Solutions to Equations
Quadratic solutions come in all shapes and sizes, so help your classes find the right one! Learners use the quadratic formula to find solutions for quadratic equations. Solutions vary from one, two, and complex.
Curated OER
Graphing Solutions
In this graphing solutions worksheet, 9th graders solve 13 various types of problems. First, they find the solution of each systems by graphing on the coordinate plane provided. Then, students solve each systems of equations...
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
EngageNY
Characteristics of Parallel Lines
Systems of parallel lines have no solution. Pupils work examples to discover that lines with the same slope and different y-intercepts are parallel. The 27th segment of 33 uses this discovery to develop a proof, and the class determines...