## LESSON 9-7 PROBLEM SOLVING SQUARES AND SQUARE ROOTS

• August 1, 2019

March 24, b. Guide for Activity 6 A. The length is m and the width is 40 m. Perfect Cubes, Cube Roots,. This activity allows the students to solve number problems and geometry problems involving quadratic functions. Yes Present to the students a real-life illustration of the relationships among the roots and the terms of a quadratic equation. Math in A, B, C? Which of the following quadratic equations has no real roots? They will perform a task and come up with the product being required by the given situation. The students should realize at this stage that the value of the discriminant of a quadratic equation can be used to describe its roots. They are also expected to investigate mathematical relationships in various situations involving quadratic functions. The students will apply what they have learned in deriving the equation of a quadratic function from the graph.

Lessob has a turning point called vertex which is either the March 24, lowest point or the highest point of the graph. You can ask the students to work individually or in a group.

Why do the Gardens Have to be Adjacent? Let porblem students do activity At this point, ask the students to use the mathematical ideas involved in finding the solutions of quadratic equations by using the quadratic formula and the examples presented in the preceding section to answer the succeeding activities.

Have students perform mathematical tasks to activate their prior mathematical knowledge and skills then let them connect these to their new lesson, sum and product of roots of quadratic equations. Ask the students to give a brief summary of the activities done. Ask them to use the mathematical concepts that they have learned.

March 24, 1. Find the value of the discriminant of the quadratic equation. The car covers km in three hours less than the time it takes the truck to travel the same distance. Will it fit through a van door that has a 5 foot wide opening?

# Lesson 8 problem solving practice roots

A skill in deriving the equation of the quadratic function is very important in solving real-life problems. Students are expected to demonstrate understanding of key concepts of quadratic equations, quadratic inequalities, and rational algebraic equations, formulate real-life problems involving these concepts, and solve these using a variety of strategies. You can ask the students to work individually or in group. They should be able to tell that each of those equations which are not linear contains polynomial of degree 2.

## Lesson 8 problem solving practice roots

Let the students read and understand some important notes on solving quadratic equations by factoring. The radical symbol indicates the nonnegative or principal square root. Equations which are not linear: Give the students opportunities to demonstrate their understanding of the nature of roots of quadratic equations by doing a practical squarea. Provide the students with opportunities to think deeply and test further their understanding of the nature of roots of quadratic equations by doing Activity 9.

Let the students reflect on the message they will get in the activity. Which squarex the following is the standard form of quadratic equations?

AMY GOLDWASSER ESSAY

References are stated References are References are not in the paper and stated in the paper. Not a Solution 2. Let the students think of the properties of the graph of a quadratic function to solve the -97. Design is limited but parabolic curves are observed. Example 2 A square shaped kitchen table has an area of 16 square feet. Ask the students to explain problen they arrived at the solutions to the equations and how they applied the different mathematics concepts and principles in solving each.

Before the students move to the next section of this lesson, give a short test formative test to find out how well they understood the lesson. No real roots 2. Elementary Algebra with Applications. Furthermore, ask them the significance of knowing the sum and product of roots of quadratic equations. The function sqaures be: Quadratic In Activity 5, ask the students to identify the situations that illustrate quadratic equations and represent these by mathematical sentences.