Completing the Square Teacher Resources
Find Completing the Square educational ideas and activities
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"The neat thing about completing the square is that it will always work," Sal explains, "no matter how crazy the problem is." A basic overview of how to complete the square, this video provides a good background for both beginning and advanced learners who are working on quadratics.
Solve quadratic equations by completing the square. The class watches demonstration videos and uses the free downloadable Geogebra applet to explore and solve quadratic equations. The lesson requires students to use a two-column note format to keep track of their learning.
Challenge your class to complete word problems using algebra tiles about completing the square. Learners complete 16 problems. Note: The answer key is not included.
Students explore problem solving through completing the square of a number. After a teacher demonstration, students solve squares of problems by beginning with simple squares and then culminating in solving a squared polynomial. They work on the board and at their desks to solve quadratic equations. In pairs, students complete worksheets.
The class applies their existing knowledge of perfect square quadratics to complete the square in a problem-solving context using dinner napkins. TI-Nspire calculator and application required.
Completing the square is an effective way to solve a quadratic equation. Introduce your class to this technique and use this video to complement your lesson. This resource takes viewers through the process of completing the square, solving the quadratic equation , and checking answers, explaining each step along the way. A great resource.
The instructor discusses how to solve a quadratic equation by completing the square. The verbal explanation is fairly complete, but the writing of the steps is rather vague.
Students investigate the origin of the quadratic function. In this algebra lesson, students analyze solving an equation by completing the square. They compare the early methods as compared to our method for solving quadratics.
Dive into this problem that illustrates a real-world application of the quadratic formula. Learners are given an equation that represents the height of a diver above the water t seconds after leaving the springboard. The task is to answer four questions about the scenario, including how long it will take for the diver to hit the water and after how many seconds will the diver reach the peak of the dive. To answer the questions, students must apply their skills of factoring and completing the square to solve quadratic equations, and they must interpret their solutions within the context of the problem. This exercise is appropriate for use in instruction or as an assessment item in Algebra I, or for review purposes in Algebra II.
Use an activity to illustrate the different forms of a quadratic function. Here, the task asks learners to use composition of given functions to build an explicit function. The process emphasizes the impact of the order of composition and the effect that each composition has on the graph of the function. The problem assumes that students are familiar with the process of completing the square.
This is comprehensive lesson that considers many aspects of quadratic functions. It includes using factoring, completing the square and the use of the quadratic formula for finding the zeros of the function (including imaginary roots). It also reverses the whole process by looking at either different graphs of quadratic functions or zeros that are given and challenges the learner to derive the function. This lesson provides an excellent review for the second year algebra student or a multi-lesson unit for the more novice student.
In this completing the square learning exercise, students 10 quadratic equations. Students complete the square in order to solve each quadratic equation with an a value equal to one.
In this equations worksheet, learners solve ten quadratic equations by completing the square. Two of the equations have leading coefficient not equal to one.
In this quadratic equations activity, students solve 10 quadratic equations by completing the square. In each of the problems, the leading coefficient is one, and the middle term coefficent is even, making for nice easy problems.
In this equations and inequalities review worksheet, 11th graders solve and complete 100 various types of problems. First, they solve each equation using the quadratic formula or completing the square. Then, students solve using matrices and Cramer's Rule. In addition, they write the equation of a various types of lines described.
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
In this quadratic factoring worksheet, high schoolers solve 11 short answer problems. Students factor quadratics and solve quadratic equations by completing the square
Learners define quadratics and solve equations. In this algebra lesson, students play the game "chutes and ladder" and relate the game to solving quadratics with factoring, completing the square, and graphing. They investigate the quadratic formula as the last option to solve equations.
"Quadratic Chutes and Ladders" helps the class review how to solve quadratic equations using four different methods. They solve each equation by completing the square, using the quadratic formula, graphing, or factoring depending on the number rolled on dice. A fun way to review some difficult concepts.
Students simplify polynomials expressions using technology. In this algebra lesson, Students solve higher order polynomials using the TI-83 calculator. They also solve equations by completing the square and using the quadratic formula.