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Standard Form of Equations
Learners complete the square and identify different parts of a quadratic equation. In this algebra lesson, pupils graph conics using the TI calculator. They rewrite equations by completing the square.
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Coloring Interval Graphs
Learners investigate planning an activity and getting it done on time. In this algebra instructional activity, students define vocabulary words related quadratic equations, including the vertex and intervals. They figure a good way to...
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Writing in the Math Classroom
Students determine the vertex, y-intercept and direction of a parabola and write an explanation of how to graph a parabola. They collect and graph data using a calculator.
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Maximum and Minimum Values
In this Algebra II worksheet, 11th graders complete the square to write a quadratic equation in Standard form. Students identify the vertex, sketch the graph and state the maximum or minimum value of the functions. The one...
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Quadratic Relations and Functions
In this algebra worksheet, students find the roots of graphs. They factor and solve quadratic equations. There are 2 questions.
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The Quadratic Formula
Learners derive the quadratic formula. In this algebra instructional activity, students use the quadratic formula to solve equations and identify the roots of a quadratic equation. They graph their parabola and analyze it.
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Quadratic Relation and Parabola
Students identify the vertex and intercepts of a parabola. In this algebra lesson, students graph parabolas and factor quadratic equations. They perform transformation on the parabolas.
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Lesson 5: The Quadratic Formula
Students plot quadratic curves to distinguish how different values of a affect a graph. They solve quadratic equations by completing the square. Student's recognize the connection between the roots and the corresponding graph's...
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Making Money and Spreading the Flu!
Paper folding, flu spreading in a school, bacteria growth, and continuously compounded interest all provide excellent models to study exponential functions. This is a comprehensive resource that looks at many different aspects of...
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Toothpicks and Transformations
Students investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of the function to...
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Further Differentiation
In this further differentiation learning exercise, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and...
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Wrapping It All Up
Through learning how to examine linear, quadratic, and exponential functions, high schoolers explore the effects of changes in parameters on the graphs of linear, quadratic, and exponential functions. The lesson is designed to be a...
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Parabolas
Learn how to evaluate the derivatives of polynomials. Mathematicians find the derivative of a quadratic function and determine the value at a given value. Students compare the slope of the secant line through two points with...
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Up, Down, Right, Left - Function Families
Learners explore quadratic functions. In this function family worksheet, students examine the quadratic function and the family of functions. They identify the affects of the shape of the parabola and its position on the coordinate...
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Calculus 30: Domain and Range
In this domain and range worksheet, students find the domain and range of 23 equations. Students find the domain and range from a graph and determine a graph given the domain and range.
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Celebrating the Fourth of July!
Students model projectile motion algebraically and graphically; and make predictions based on the quadratic algebraic model.
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Properties of Parabolas
Have your learners investigate parabolas. In this Algebra II lesson, young scholars explore the basic definition of a parabola by using Cabri Jr. to create a parabola given the focus and directrix. Students interpret the equation...
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Quadratics and Parabola
In this algebra worksheet, 11th graders graph parabolas using the vertex and axis of symmetry. They apply parabolas to word problems as it applies to paths taken. There are 4 problems with an answer key.
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Circles and Parabolas
In this circles and parabolas, students write and graph equations for 14 problems. Students locate the center and radius for 8 circles. Students write equations for 4 parabolas.
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Parabolas
In this parabolas worksheet, students write the equation of 6 parabolas in standard form and then sketch their graphs. Students then write 13 equations for parabolas given certain information.
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Curve Sketching Review Worksheet
In this curve sketching worksheet, students solve 13 short answer and graphing questions. Students find maximums, minimums, critical points, turning points, increasing/decreasing intervals, etc.
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Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
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Equations and Inequalities
Students in a college algebra class use graphs to solve inequalities. Using the coordinate graphing system, they represent the relationship between x and y intercepts. They practice solving equations with complex numbers and locate...
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Polynomial Functions
For this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial...