Curated OER
Solving Various Algebraic Equations for Real and Imaginary Roots
In this solving equations worksheet, students solve forty-four algebraic equations for real and imaginary solutions. Types of equations include higher degress polynomials, rational equationals, radical equations, and square roots inside...
Curated OER
Square-Root Functions and Radical Equations
This practice instructional activity includes simple radical equations, and some quadratic equations that can be solved by the square root method. There is good practice here in checking the solutions, and a few graphing problems.
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
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.
University of Texas
Complex Numbers
Are complex numbers and binomials similar? This stack of slides provides an introduction to complex numbers and shows how to operate with them. The worked examples show a connection between operating with binomials and operating with...
BW Walch
Creating Linear Equations in One Variable
The example of two travelers meeting somewhere along the road has been a stereotypical joke about algebra as long as algebra has existed. Here in this detailed presentation, this old trope gets a careful and approachable treatment....
Concord Consortium
"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
NASA
Resolving 3-Plane Traffic Conflicts by Changing Route—Problem Set C
Keep the planes from crashing. Pupils work with three airplanes and change their flight paths to keep them at a safe distance from each other. Individuals work through three problems in the third interactive in a set of six with...
CK-12 Foundation
Linear Systems with Addition and Subtraction: Fill in the Boxes 2
Systematically combine shapes to arrive at one solution. The resource models a system of linear equations using colored shapes. Pupils follow rules to combine circles and squares to add the two equations together, resulting in one...
101 Questions
Nana's Chocolate Milk
Nobody wants to make Nana mad! Help Mr. Meyer fix the chocolate milk he prepared for his Nana using too many scoops of chocolate. Youngsters develop a problem-solving strategy that leads to the solution using ratios and proportions.
Curated OER
Extraneous Solutions
Students find the roots of quadratic equations. In this algebra lesson plan, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
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...
Curated OER
Estimating Solutions to Word Problems
Learners use estimation to determine the answers to word problems by rounding whole numbers. In this estimation lesson plan, pupils compare and contrast solutions using the best answer.
Curated OER
Estimating Solutions
Finding approximate solutions to word problems allows users to assess the reasonableness of their answers. In a well-paced lesson, the class rounds numbers to estimate the solutions. They explain their thinking and determine if the...
Curated OER
Same solutions?
This activity focuses in on the structure of an equation and how it compares to another. Young algebraists are tasked with grouping together equations that have the same solution by focusing on the transformation of the equations rather...
Curated OER
Studying Solutions of Quadratic Equations
In this algebra worksheet, students solve 8 quadratic equations by using the discriminant. They write the quadratic equation for 7 problems from the solution sets. Three of the solution sets contain imaginary numbers (i).
Curated OER
Series Solution of the Time-Independent Schrödinger Equation
In this math worksheet, students find the solutions to the problems that apply the time-independent Schrödinger equation. They examine the relationship between the mass and energy.
Curated OER
One-Variable Inequality Word Problems
Here is a great set of eight scenarios that require the writing of a one-variable inequality and then solving to find the solution. This inequality word problem activity is then followed by the solutions to each of the eight problems.
Concord Consortium
The Bus Route
Patterns are extremely helpful when solving a puzzle. Young scholars attempt to find times a bus will pass each stop. They identify a pattern in the known stop times to identify the solutions.
Mathematics Assessment Project
Functions
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
Balanced Assessment
Walkway
Evaluate different aspects of geometry with one task. An assessment activity prompts learners to determine the area of a pathway in the shape of a parallelogram. The Pythagorean Theorem and area formulas for various polygons provide the...
CK-12 Foundation
Checking Solutions to Inequalities: Ordering Roses
It's important to have the correct number of flower arrangements at a wedding. Scholars match an inequality and a graph given a situation involving roses for wedding receptions. A set of challenge questions checks the matching pairs.
101 Questions
Nana's Lemonade
Consistency is the key. One lemon wedge per glass of water makes a nice glass of lemonade. Young scholars must identify the number of lemon wedges they need to make the same lemonade in a big gulp cup. They develop their own solution...
Under the Dome
Card House
Mathematics is stronger than a card house. Pupils watch a video of the beginning of the building of a triangular card house. Scholars come up with questions they wonder about from the video and ask for more information to arrive at an...
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