Curated OER
Parabolas Exist Where?
Young scholars recognize how parabolas are used in architecture and calculate a constant of variation.
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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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Parabola
In this parabolas activity, 10th graders solve and graph 12 different problems related to various types of parabolas. First, they determine the vertex and the y-intercept based on the graph illustrated for each. Then, students write a...
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Additional Context Problems for Quadratic Models
Working with real world applications of quadratic models, students solve four practical problems requiring the use of the quadratic equation. They are guided through the process by a series of questions following each problem.
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"Ball Bounce" Quadratic Functions
Young scholars manipulate a ball and explore quadratic functions. In this algebra lesson, young scholars analyze the graph of a quadratic function. They identify quadratic properties.
CK-12 Foundation
Discriminant
Discriminate between the types of roots. The interactive root introduces the discriminant and its connection to the types and number of roots. Pupils use a slider to view graphically the effect of the sign of the discriminant on a...
Illustrative Mathematics
Springboard Dive
Quadratics and height application problems go hand in hand like teenagers and sleeping in. High schoolers must look at the equation of a diver's height and calculate such features as the height of dive board, time entering the water, and...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
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Using Factoring to Solve Equations
Eleventh graders use factoring to solve 44 different problems involving area, intercepts, quadratic equations, and functions.
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Lesson #150 Parabolas
Students investigate graphing. In this parabola lesson, students review finding the vertex, focus, and diretex of a parabola. An assignment is listed, but not included with the lesson.
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Parabolas
In this parabolas worksheet, students solve and complete 12 different types of problems. First, they draw a sketch of each equation shown. Then, students write the vertex form of each graph on the line provided.
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Academic Algebra II 1st Semester Exam
In the semester exam, students solve problems dealing the the discriminant of quadratic equations, systems of equations, linear equations and inequalities. Students also simplify radicals, complete squares, and find the inverse...
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Algebra 2 Test
In this algebra learning exercise, students solve problems involving functions, systems and conics. They simplify radicals and graph parabolas identifying the focus and ellipse. There are 20 questions.
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Worksheet 32 - Fall 1995
In this math learning exercise, students find the area enclosed by the parabola’s arch and the x-axis. They are asked about the highest point of the parabola in terms of a.
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Conic Sections
In this conic sections worksheet, students solve and complete 8 different problems identifying various types of conic sections. First, they write each equation given in standard form. Then, students determine whether the graph of each of...
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Storefront Signs
Learners practice finding the areas and patterns within a square and explore the concept of quadratic functions. They observe and record the area values in a table, plot a graph of Area versus Distance and complete a variety of student...
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High School Examination: Mathematics B
In this high school examination activity, 12th graders solve problems dealing with parabolas, coordinates, probability, dialations, intervals, and trignomeric ratios. This activity is designed as a end of course examination. ...
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I Spy
Students take photos of objects and write an equation. In this equations with photos lesson, students take pictures of objects around the school that have the shape of mathematical items learned in class. Students also draw in an x-axis...
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Chapter 3 - Worksheet 3D
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
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Unit 11 - Worksheet 3 - Function
In this function worksheet, learners observe graphs and determine whether the graph is a function based on a given table. They identify graphs of functions. This two-page worksheet contains 12 problems.
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Inverse of a Function
In this inverse of function worksheet, 10th graders solve and graph 10 different problems that include graphically represented inverse functions. First, they solve each of the problems involving graphs and their inverses. Then, students...
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Chapter 3 - Worksheet 3E - Functions
In this function worksheet, students observe graphs and determine if the function of the graph is odd or even. They find the inverse of a function and determine the horizontal asymptote of a function. This four-page worksheet contains...
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Mathematics B: High School Exam
In this mathematics learning exercise, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This learning exercise contains, but is not limited to, radicals, inverse functions,...
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Graphing Square Root and Other Radical Functions
In this activity, students graph the square root and other radical functions by examining the parent function and the translations and shifts that occur within the function family. The two page activity contains twelve problems.