Curated OER
The Class Trip
Mrs. Moore's class is trying to earn money for a trip to the science museum, but how much more do they need? Solve this problem with your own class as they develop their ability to model real-life situations algebraically. As an added...
Education Development Center
Logic of Algebra
Don't just go through the steps to solve an algebraic equation, show learners how to balance an equation with visual models. The packet introduces the idea of mobile balances to reinforce the idea that both sides must match to make the...
Curated OER
Systems of Equations and Inequalities
This is a comprehensive lesson on creating and solving equations and systems of equations and inequalities. Problems range from basic linear equations to more complex systems of equations and inequalities based on a real-world examples....
EngageNY
Recognizing Equations of Circles
What does completing the square have to do with circles? Math pupils use completing the square and other algebraic techniques to rewrite equations of circles in center-radius form. They then analyze equations of the form x^2 + y^2 + Ax +...
Education Development Center
Algebraic Habits of Mind
Math really is just one big puzzle waiting to be solved. Show learners that math can be intriguing and provide them with visually engaging problems and puzzles. The focus is on solving simple equations and looking at expressions.
Virginia Department of Education
Solving Equations
Demonstrate the abstract process of solving equations by using algebra tiles as a concrete representation. Scholars begin by solving equations through the use of manipulatives. As they gain more confidence, they progress to whiteboards...
Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Concord Consortium
An Algebraic Oversight
Tackle a common misconception using a performance task. Dividing by a variable to eliminate a variable may seem like a good idea, but simplifying the variable eliminates solutions as well. Learners develop algebraic and graphical support...
Virginia Department of Education
Graphing Linear Equations
Combine linear equations and a little creativity to produce a work of art. Math scholars create a design as they graph a list of linear equations. Their project results in a stained glass window pattern that they color.
Virginia Department of Education
Radical Equations
Provide learners with the skill for how to examine algebraic and graphical approaches to solving radical equations. Learners solve various radical equations involving square root and cube root expressions. They first solve using...
Virginia Department of Education
Rational Equations
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they study steps to...
Illustrative Mathematics
The Circle and The Line
Here is a resource where algebra learners show their understanding of a system of equations involving a circle and a line. Once graphed, learners see two points of intersection, one where the ordered pair is read, and a second where...
National Security Agency
A Balancing Act: Solving Multi-Step Equations
Wow! Put on that thinking cap and solve multi-step equations. To solve equations, learners review the use of the distributive property and combining like terms. This three-day lesson plan comes with about 20 pages of worksheets,...
02 x 02 Worksheets
Absolute Value Equations and Inequalities
Demonstrate the meaning of an absolute inequality using three different methods. Here, scholars explore absolute value inequalities through graphing, number line distance, and compound inequalities. Pupils complete various activities to...
EngageNY
Bacteria and Exponential Growth
It's scary how fast bacteria can grow — exponentially. Class members solve exponential equations, including those modeling bacteria and population growth. Lesson emphasizes numerical approaches rather than graphical or algebraic.
Curated OER
Going Back to Your Roots
Investigate the Fundamental Theorem of Algebra and explore polynomial equations to determine the number of factors, the number of roots, and investigate multiplicity of roots.
Illustrative Mathematics
Do Two Points Always Determine a Linear Function?
Your learners can approach this task algebraically, geometrically, or both. They analyze the building of a linear function given two points and expand the concrete approach to the abstract when they are asked to find the general form of...
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...
Illustrative Mathematics
Chocolate Bar Sales
In this real-world example, algebra learners start to get a sense of how to represent the relationship between two variables in different ways. They start by looking at a partial table of values that define a linear relationship. They...
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
West Contra Costa Unified School District
Investigating the Discriminant
When is finding the discriminant enough? Using the quadratic formula helps find solutions to quadratic equations, but there are times when just using the discriminant is appropriate. Use this algebra II lesson to help classes see the...
West Contra Costa Unified School District
Introduction to Logarithms
Build on pupils' understanding of inverse functions by connecting logarithmic functions to exponential functions. This activity allows individuals to see graphically the inverse relationship between an exponential and logarithmic...
Illustrative Mathematics
Busy Day
This activity gets at the heart of algebraic reasoning and setting up equations with one variable to solve real-world problems. The worksheet has only one problem, but it requires that learners first use their own reasoning capabilities...
Virginia Department of Education
Properties of Operations
Explore the definitions of algebraic properties through a hands-on activity. Individuals cut and paste examples and match them to the correct properties. After examining the provided examples, pupils create examples of their own.
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