LESSON 9-7 PROBLEM SOLVING SQUARES AND SQUARE ROOTS

In Lesson 1 of this module, the students will identify and describe quadratic equations and illustrate these using appropriate representations. Table of values Width w 5 10 15 20 25 30 35 Area A f. Let them describe the graph. Let the students work on Activity 3. Let the students reflect on the message they will get in the activity. Let the students justify their answer. Solve by Using the Quadratic Equation Lessons.

Discuss these key concepts. The given information is not sufficient. Immediately after the students do Activity 4, ask them to perform Activity 5. Illustrative examples will be presented. Motivate the students by assuring them that they will be able to answer the above questions and they will learn a lot of applications of the quadratic functions as they go on with the lessons. March 24, B. Will It or Will It Not?

At this point, the students should realize that a quadratic equation has at most two real solutions or roots.

Lesson 8 problem solving practice roots

Guide the students in formulating the equations to solve the problem. Let them find out if all solutions that can be obtained from the graph are true to the given situation.

This activity provides students the opportunity to determine the properties of the graph of a quadratic function.

Rubrics on Problem Solving 4 3 2 1 Identifying Important Important Sometimes need Missed the important Relevant information information from help in identifying information in the Information needed to solve unimportant important problem.

If the teacher stands in the center, he or she can monitor student responses. They will transform a quadratic function in general form into standard form and vice versa and lastly, they will illustrate some real-life situations that model quadratic functions.

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Their understanding of this lesson and other previously learned mathematics concepts dquares DRAFT principles will facilitate their learning of the succeeding lessons.

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In this activity, the students will be given an opportunity to investigate the effects of a. A Conducting math investigation is one of the useful methods to develop the mathematical thinking skills of the students.

Let them 9-77 how they arrived at their answers and how they applied the different mathematics concepts or principles in performing each operation. Quadratic equations, quadratic inequalities, and rational algebraic equations that represent real life situations or objects d. Guide for Activity 14 1. Allow the students to do Activity 6.

To help students deepen their understanding of the concepts of square roots, rational and irrational numbers, ask them to explain how they arrived at the square roots of numbers. If k is negative, the equation has no real solutions or roots. Let the students describe and solve the equation. Ask sqjares to describe those which are linear equations and differentiate these from those which are not.

lesson 9-7 problem solving squares and square roots

In this activity, students will investigate one difference between a linear function silving a quadratic function by exploring patterns in changes in y. Determines the equation Write up and of a quadratic function given: References are stated References are References are not in the paper and stated in the paper.

Let the students analyze their ideas and let them process the information on getting the correct answer.

Solving quadratics by taking square roots

In Lesson 3, the students will learn to roos the zeros of a quadratic function in different methods. Example 3B Simplify the expression. There is no theoretical limit to the largest garden. It can be as 5. Challenge the students to solve the equation that would give the required dimensions of the floor.

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Let them explain why not all solutions to the equation they formulated represent the length and width of the figure. In this activity, let the students use their understanding DRAFT and skills in quadratic function to solve the given problem using different methods.

In this activity, the students will be able squaes think about the reverse process to get the equation of a quadratic function.

Make solvimg of problems and persevere in solving them Reason What is the cube root of 8?

Lesson 8 problem solving practice roots

Discuss the illustrative example. March 24, Guide for Activity 3A a.

lesson 9-7 problem solving squares and square roots

Activity 13 Answer Key a parabola that opens downward b 2, March 24, Lesson 1: Give Activity 4 and let the students observe the graph of the quadratic function. Suppose you are one of those architects assigned to do the ground plan.