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...
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
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.
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...
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.
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.
CK-12 Foundation
Find Imaginary Solutions: Imaginary Zeros
The resource is the real deal. Individuals investigate the imaginary zeros of f(x) = x^2 + 1. They accomplish this task by using an interactive that shows input values x = a + bi and output values x^2 + 1 on a complex plane.
Curated OER
The Number of Solutions for a System of Equations.
Students define lines as dependent, independent and no solution. In this algebra lesson, students identify the type of solutions produces by systems of equations. They discuss the type of lines formed given a linear pair.
Illustrative Mathematics
Fishing Adventures 2
This resource is part of a series which expects participants to be familiar with graphing inequalities on a number line. It is a word problem that asks your class to graph a discrete solution set and interpret it in the context of an...
Sinclair Community College
Solving Linear Inequalities
Your learners will appreciate the complete picture of linear inequalities presented in this lesson plan. Starting simply with definitions and moving all the way to solving linear inequality word problems this activity is simple to follow...
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
Null Space And the General Solution
In this null space learning exercise, students solve 5 different problems that are related to null space and the general solution of an equation. First, they find a solution to the given equation given that Ax=b. Then, students verify...
Curated OER
What is a Solution to a System?
Young scholars define the solution to a system of equation. In this algebra lesson plan, students graph two line on the TI calculator and identify the point of intersection if there is any. They find one, zero or infinitely many solution...
Curated OER
Conductivity of salt Solutions
Students investigate the concentration level of solutions. In this math/science lesson, students identify three different ionic compounds. They predict the conductivity of each using their collected data.
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
Graphing Systems of Equations
In this graphing systems of equations worksheet, 9th graders solve and graph 8 different problems that include solving various systems of equations. First, they use the graphs show to determine whether each system has one solution, no...
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