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Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
EngageNY
Mastering Factoring
Math class is full of drama—there are so many problems to work out! Pupils work out factoring problems. They use quadratic methods of factoring higher degree polynomials, in addition to factoring the sum and difference of two cubes.
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Graphs of Quadratic Functions Section 11.6
In this graphing worksheet, students graph quadratic functions. They identify the maximum and minimum value of the function, determine the line of symmetry, and locate the vertex. Coordinate planes are provided for each function. There...
Curated OER
Graphs of Quadratic Equations
In this math worksheet, students solve the problems that ask for the graph of the parabola. They interpret the quadratic equation for its solutions.
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Lesson 5: The Quadratic Formula
High schoolers 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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Human Coordinate Plane, Using the Distance Formula
Students write the distance formula to solve equations for finding the distance between 2 points. In this distance formula lesson plan, students also write sentences explaining why their formulas would work.
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Let's Play Some Ball!
Pupils review horizontal and vertical shifts of a parabola and how they effect a specific quadratic formula. They play a basketball review game in which they try to find the right quadratic equation for a given problem in order to earn...
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Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
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Quadratic Equations and Binomial Square Theorem
Students factor quadratic equations. For 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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Peter's Third String
Explore the solution to a word problem involving area and perimeter. Learners read and discuss how to approach the problem. In small groups, they determine the maximum area of a rectangle with a given perimeter using a piece of string....
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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...
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Quadratics Introduction
Students investigate quadratic functions graphically and algebraically.
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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. High schoolers compare the slope of the secant line through two points with the...
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.
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
Curated OER
Reading Graphs
Working independently or in teams, your class practices connecting graphs, formulas and words. This lesson plan includes a guided discussion about distance vs. time graphs and looking at how velocity changes over time.
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Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
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Quadratics: Vertex Form
Students practice graphing quadratic equations. They work to solve and equation involving finding the vertex using given formulas. Once their points have been graphed, students determine the direction in which the angle opens. Worksheets...
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Building a Quadratic Function Form
Comparing the movement of graphs geometrically when small changes are made to the parent function motivates this collaborative discussion on the transformations of functions to their various forms. Vertical and horizontal shifts due to...
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Quadratics Equations
In this algebra worksheet, students define the equations and discuss how many and what kinds of roots there will be. There are 6 questions dealing with roots, complex numbers and quadratics.
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Parabolas
Students define a parabola through hands on creation. In this algebra lesson, students analyze the directrix and focus of a parabola. They create a paper parabola and identify the vertex with points equal distance apart from the vertex.
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Tukutuku Patterns
Students complete a series of lessons involving Tukutuku patterns, their rotations and area formulae. They determine the algebraic formulae for sequences. They use images as they work through the lessons to find the number of crosses in...
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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 page...
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Integrated Algebra Final Exam
In this integrated algebra worksheet, learners solve problems involving system of equations, quadratic equations, inequalities, surface area, and radicals. This 28-page worksheet contains 39 multi-step problems.
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