Where is the Trunk? Solving Quadratic Equations by Factoring 2. Their understanding of this lesson and other previously learned mathematical concepts and principles will facilitate their understanding of the succeeding lessons. Give the students opportunities to demonstrate their understanding of quadratic equations by doing a practical task. Challenge the students to determine if it is possible for a quadratic inequality not to have a real solution. You can ask the students to work individually or in a group. What Makes Me True? How long would it take Darcy to finish the job alone? In Lesson 1 of this module, the students will model real-life problems using quadratic functions. Give them an opportunity to check their errors if there are any. Table of values determined. Graph Let the students do Activity 3. What Would Make a Statement True? We use the equations describing the roots to come up with two binomials whose product is zero. The teacher provides prompts or discussion topics. This is the content of Lesson 7. Tell them to write their answers for Activities 3 and 4 in the table provided. Let the students justify their answer. In this section, let the students apply what they have learned in the previous activities and discussion. Nature of Roots Sum and Product.

The equation is a quadratic equation. In Activity 1, the students will be asked to solve linear equations and quadratic equations that can be solved by extracting square roots.

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Guide for Activity 2 1. Solving problems Identifying involving quadratic zeros of Describing the functions quadratic transformation function from of the graph of the graph. How do angry bird expert players hit their targets? They might give different answers. Let the students find the pattern, relationship, draw the table of values, graph and give the equation. Smith, Charles, Dossey, Keedy and Bettinger.

This activity provides the students with an opportunity to recall finding solutions of linear equations, an important skill that they need in order to solve quadratic equations. You may start this lesson by giving Activity 1.

## 1. Solving Quadratic Equations by Factoring

Aside from the buildings to be built, the ground plan must also include pathways and roads. The learner demonstrates understanding of key concepts of quadratic equations, quadratic inequalities, and rational algebraic equations.

This activity provides an opportunity for the students to analyze the graph of a quadratic function derived from the given real-life situation.

Not Quadratic Inequality March 24, Let the students find the solution sets of some quadratic inequalities and graph these. They will be given the opportunity to investigate and analyze the transformation of the graph of a quadratic function.

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.

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The solutions are not real numbers. Roots of Quadratic Equations 9. Give the students opportunities to demonstrate their understanding of the sum and product of roots of quadratic equations by doing a practical task. Guide for Activity 2 a.

# 1. Solving Quadratic Equations by Factoring

The learner demonstrates Paper and understanding of key Pencil Test concepts of quadratic functions. Problems in real-life can be modeled using a quadratic function. Another Kind of Equation! Parabolic imagination and observed. March 24, 4 9 Provide the students with an opportunity to develop their understanding of solving quadratic equations by completing the square.

Let the students describe and solve the equation. Which of the following rational algebraic equations is transformable to a quadratic equation? We check the roots in the original equation by substitution.