Real and equal roots: As an introduction to the main lesson, show to the students the pictures below then ask them the questions that follow: Guide for Activity 3A a. Answer Key 1 Equation 1: How to find the equation of a quadratic function from its graph. Let the students think of the properties of the graph of a quadratic function to solve the problem.

Let the students draw the graph j. In this activity, the students will describe and give examples of quadratic equations with two real solutions, one real solution, and no real solutions. If k is positive, the equation has two solutions or roots. Hence, the sum of the roots represents one-half of the perimeter of the garden and the product of the roots represents its area. Ask them to justify their answer.

How to find the equation of a quadratic function from its graph. Algebra 1, Applications, Equations, and Graphs. QUESTION Students will understand that How do quadratic quadratic functions are useful functions facilitate tools in solving real-life finding solutions on problems and in making real-life problems and decisions in making decisions?

March 24, Before the students move on to the next section of this lesson, give a short test formative test to find out how well they understood the lesson. In this activity, the students will be given an opportunity to investigate the effects of a. Their understanding of this lesson and other previously learned mathematics concepts and principles will facilitate their learning of the next lesson, Solving Quadratic Equations.

If the equation is true for the obtained value of x, then that value of x satisfies the equation. The length of a garden is 4 m more than twice its width and its area is 38 m2. Let them explain why the solutions to the equation they have formulated do not all represent the length of a side of the square.

Suppose x denotes the number of units a company plans to produce or sell. Guide the students in formulating the equations to solve the problem. This will help you in teaching this lesson. The width is 25 m and the length is 25 m d. Choose the letter that you think best answers the question. Emphasize to the students this important question: Ask the students to solve quadratic equations by factoring by performing Activity 4. Lesson 2 Lesson 2 2 Analyzing and explaining Designing a Giving the Graphing a the effects of changes in curtain in a properties of quadratic the variables a, h, and k restaurant that DRAFT the graph of function and in the graph of a involves a quadratic determining its quadratic function in quadratic function characteristic.

Retrieved November 7,from March 24, http: Thus, the degree of the quadratic function is 2.

# 1. Solving Quadratic Equations by Factoring

Guide for Activity 3A a. Give attention to the difference between rational algebraic equations and quadratic equations and the methods or procedures in finding their roots including the extraneous roots. Answer Key 1 2 1. Guide for Activity 2 a.

If we square the zeros, then the new equations are: Let them explain why the solutions to the equation they have formulated do not all represent a particular aolving that is involved in each situation.

What is My Nature? March 24, explanations.

Ask the students to explain how they arrived at the solutions to the equations and how they applied the different mathematics concepts and principles in solving each. It will serve as a self- assessment activity for the students.

## Solving quadratics by taking square roots

The other group of the students creates an outside circle by facing a peer from the inner circle. Rubrics on Problem Solvnig March 24, 4 euqations 2 1 Identifying Important Important Sometimes need Missed the important Relevant information needed information help in identifying information in the Information to solve problem and important problem.

This lesson had been taken up by the students in their Grade 7 mathematics. Thus, the zeros are -2 and 1. Not a Solution 6. Let them perform Activity 2.

They might give different answers.