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Graphs of Quadratic Equations
In this graphs of quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they find the x- and y-intercept of each equation by using the quadratic formula. Then, students find the vertex using...
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Exploring Quadratic Graphs
In this algebra worksheet, students solve quadratic equations. They factor and graph their solutions. There are 5 questions with an answer key.
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Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.
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Minimum and Maximum of a Graph
Students find the solutions of polynomials through graphing. In this algebra activity, students identify the maximum and minimum of each polynomial function. They ind the vertex, domain and range of a parabola.
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Quadratic Equation Calculator
In this Algebra II worksheet, 11th graders use an online quadratic equation solver to find the zeros of a quadratic. The one page interactive worksheet provides one worked example and the equation solver.
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Parabolic Paths
High schoolers investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
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Curve Ball
Learners explore the concept of parabolas by collecting quadratic data on a bouncing ball as it is falling using a motion detector. They plot the data and determine the equation of the quadratic in vertex form, then determine the values...
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Complex Roots: A Graphical Solution
Using their Ti-Nspire to determine the solutions of parabolas, students explore the concept of complex roots. Students determine if parabolas have real or complex roots. Students determine the the axis of symmetry and the...
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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this instructional activity by applying graphing knowledge to create a unique piece of art. This instructional activity varies acording to the graphing knowledge of the artist. First, learners identify and...
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Exploring Complex Roots
In exploring the concept of complex roots, students find the axis of symmetry and roots of parabolas. Then, they discuss what makes a solution complex and how to identify functions with complex roots.
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson plan. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the...
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As The World Curves
Students partisipate in a web scavenger hunt on an introductory lesson for conic sections. They become familiar with general forms of the equations, what they look like, and how they are used in the real-world.
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Exploring Geometric Constructions of Parabolas
Learners are introduced to the construction geometrically of parabolas. Using a software program, they identify lines, segments and midpoints. They label the parabolas properties and characteristics and use a formula to determine the...
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Functions and Applications: Maximum Quadratic functions
In this maximum of quadratic equations worksheet students compute the maximum height of 5 independent events. Each problem uses a golf game as the setting. Students use a quadratic equation to solve the problems.
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Quadratics: Polynomial Form
Students determine how to use the polynomial form of a quadratic equation to find the location of the vertex on a graph. They determine how changes in the coefficients in a quadratic function affect its vertex on a graph. Students find...
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Quadratics and Graphing
Students use the Nspire software to graph. In this algebra lesson, students graph quadratic equations using technology and graphs. They identify the maximum and minimum of each graph.
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
Balanced Assessment
Para-Ball-A
Analyze the flight of a thrown ball. Learners determine the maximum height of a thrown ball and the time it takes to hit the ground given its initial speed. They continue to review different scenarios with different maximums or...
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Quadratic Functions
In this algebra worksheet, students factor quadratic equations and graph their resulting parabola. They relate quadratics to real life scenario. There are 20 questions with an answer key.
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Practice Test: Vector Equations
In this vector equations worksheet, learners sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page worksheet contains 6...
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Parabola
Learners complete a worksheet and explore the parabola conic section during a web based activitiy. They answer questions based on their work as they make changes in the features of the parabola.
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Parabola with Horizontal Directrix
Students find the vertex, directrix, and focus of a parabola. They graph parabolic functions and solve application problems involving parabalas.