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EngageNY
Equations Involving a Variable Expression in the Denominator
0/0 doesn't equal 0! Begin this activity by allowing the class to explore the concept of dividing by zero. The introduction allows for discovery and provides meaningful examples of dividing by zero. This understanding leads to solving...
EngageNY
Graphing Systems of Equations
Expand on learners' understanding of quadratic-linear systems. Building on the graphic understanding developed in the previous lesson, pupils learn algebraic methods of solving the systems.
EngageNY
Solving Radical Equations
Learners solve complex radical equations. Solutions vary from one, two, and none, allowing pupils to gain experience solving a variety of problems.
Curated OER
Lesson Plan 2: Hot Dog Sales - Solving Linear Equations and Inequalities
This activity will provide students with an introduction to solving equations and inequalities numerically (using a table), graphically, and algebraically. they devise a table that would produce information about the number of hot dogs...
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, students describe the transformations of the parabola...
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.
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This lesson connects transformations to the vertex form of a quadratic equation.
EngageNY
Solving Rational Equations
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
Curated OER
Quadratic Equations and Functions
This comprehensive lesson plan reviews solving and graphing quadratic functions and functions of higher degree. Using the vertex form of a quadratic functions, one finds the vertex, minimum or maximum, and axis of symmetry. A few...
EngageNY
A Focus on Square Roots
Pupils learn to solve square root equations and rationalize denominators. Problems include those with extraneous solutions.
Curated OER
Introduction to Graphical and Algebraic Inverses
Solve inverse functions through graphing and algebra. High schoolers will graph inverse functions and use the correct notation to write the equation. They observe a graph and write an equation for the function. In the end, they will be...
EngageNY
Solving Quadratic Equations by Completing the Square
Many learners find completing the square the preferred approach to solving quadratic equations. Class members combine their skills of using square roots to solve quadratics and completing the square. The resource incorporates a...
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...
Mathematics Assessment Project
Sorting Equations of Circles 2
How much can you tell about a circle from its equation? This detailed lesson plan focuses on connecting equations and graphs of circles. Learners use equations to identify x- and y-intercepts, centers, and radii of circles. They also...
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.
EngageNY
Why Do Banks Pay YOU to Provide Their Services?
How does a bank make money? That is the question at the based of a lesson that explores the methods banks use to calculate interest. Groups compare the linear simple interest pattern with the exponential compound interest pattern.
Curated OER
Linear Equations and Algebraic Symbols
Students rewrite word problems using the correct symbols. For this algebra lesson, students simplify algebraic expressions and use the correct representation of the unknown. They solve equations using one and two steps operation.
Curated OER
Real World Systems of Linear Equations
Students solve systems of equations with fluency. In this algebra lesson plan, students graph, use elimination and substitution to solve systems of equations. They identify the point of intersection using algebra.
Curated OER
Discovering Math: Concepts in Algebra
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
Curated OER
Manipulating Multi-step Equations (Grade 8)
Ninth graders solve multi-step equations. For this Algebra I lesson, watch a video on solving equations with variables on both sides of the equal sign. Students visit an Internet site to solve simple equations through the use...
Curated OER
Solving Algebraic Expressions
Students simplify equations and expressions. In this algebra instructional activity, students add, subtract, multiply and divide as they solve expressions. They relate factoring to solving polynomials.
Curated OER
The Meaning of Algebraic Expressions
Pupils define equations and expressions. In this algebra lesson, students review important vocabulary words to do with equations and solving problems. They simplify equations and expressions using addition, subtraction, multiplication...
Curated OER
Constructing and Solving Linear Equations
Students construct and solve linear equations. In this algebra activity, students solve equations and graph lines using the slope. They identify the different parts of an equation including the leading coefficient.
Curated OER
Solar Kit Lesson # 12 - Calibration Curve for a Radiation Meter
Scientists need to have mastered algebraic slope-intercept concepts in order for this activity to be effective. They will measure and graph solar panel output as a function of the amount of radiation striking it, discovering that there...