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System of Two Quadratic Inequalities
Students graph a quadratic inequality and describe its solution set. They solve a system of quadratic equalities graphically and symbolically and as related to a real-world context.
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Systems of Linear Inequalities in Standard Form -- Lecture
Students participate in a lecture about linear inequalities. Individually, they graph different inequalities and describe its solution. They participate in a demonstration in which they solve a system of inequalities and complete a...
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Systems of linear inequalities in standard form
Learners practice graphing linear inequalities and explain their solution sets to the solving of a system of linear equalities graphically and symbolically. They utilize programming techniques in setting up and solving systems of linear...
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I want a credit card--or do I?
Students pretend to borrow $1000.00 on a credit card. They pretend to make the minimum payments for a year. When they're done, they make a pie chart showing how much of their payments reduced their debt, and how much was interest.
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Writing equations for the picture project
Students write equations for their graphs. In this algebra lesson, students analyze graphs after they plot them using coordinate points and write an equation for the line given the slope and y-intercept. They express their answers using...
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Graphs and Functions
Students are introduced to plotting functions on the Cartesian coordinate plane seen several categories of functions, including lines and parabolas
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Algebra I: A Draining Swimming Pool
Students analyze and develop symbolic representations to describe the amount of water left in a pool being pumped out after a given amount of time, with various pumping rates and initial quantities of water in the pool.
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Polynomial Functions
In this Algebra II worksheet, 11th graders classify polynomials by degree, write in standard form, and describe the behavior of the graph. The two page worksheet provides explanation and examples along with thirteen practice...
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Describing Patterns
Fourth graders investigate repeating and growing patterns. Models, graphs and words are used to describe, extend and represent patterns. Students use evidence from models and graphs to support the identification of patterns.
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That's a Fine Line You're Walking!
Students experiment with Hiker program to practice real world applications of linear functions and develop their understanding of expressions, relationships, and manipulations involved in writing and graphing linear equations in...
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I Can Do This! Systems of Equations
Pupils solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
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Representing Quadratics
Young scholars represent quadratic equations using different methods. In this algebra lesson plan, students solve quadratics using substitution, elimination and graphing. They relate quadratics to the real world.
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Discovering Growth Patterns
Young scholars explain the differences between linear (arithmetic) and exponential (geometric) growth. They use worksheets imbedded in this lesson to help them make predicitions and graph data points.
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Arithmetic Complex Numbers
Young scholars convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor...
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. In this algebra lesson, students apply the binomial square theorem to solve quadratics. They complete the square and use the complex number system to solve for the roots.
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Functions and the Vertical Line Test
Students explore the concept of functions. For this function lesson, students determine if the graph is a function by using the vertical line test. Students use an applet to explore the vertical line test on a variety of graphs.
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Representing Relationships with Equations
Students explore Cuisenaire Rods. In this pre-algebra lesson, students work with a partner to generate addition problems with the sum of ten using Cuisenaire Rods. Students construct examples of the Commutative Property using...
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Functions Made Easy
Students explore concept of functions as relationships, as machines, as equations, and as graphs.
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Function Tables
Students identify function using tables of data. In this algebra lesson, students create a tale of point and plot on a coordinate plane. They analyze the graph as being a function or not.
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Properties of Logarithmic Functions
Students solve exponential functions. In this algebra instructional activity, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
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Tracking Your Favorite Web Sites
Ninth graders track the hit count on their favorite web sites. In this Algebra I lesson, 9th graders record the number of hits on their favorite web site for twenty days. Students explore the data to determine if the relation...
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Visualiziing Equations
Students use visuals and words to solve equations. In this algebra lesson, students observe the necessary steps needed to add, subtract,multiply and divide to solve an equation. They graph their solution using the TI calculator.
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Vertex and Factored Form of Quadratic Functions
Students graph quadratic equations. For this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
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Investigating Parabolas
Students identify properties of parabolas. In this algebra instructional activity, students factor quadratic equations and identify the properties of parabolas. They find the roots, vertex and intercepts of a parabola.