### 9-6 PROBLEM SOLVING SOLVING QUADRATIC EQUATIONS BY FACTORING ANSWERS

Let them explain how they came up with the roots of each equation. Algebra 1, Applications, Equations, and Graphs. Fair, Jan and Sadie C. Let the students work individually or in groups in doing a practical task. The vertex is 1,

Write-up and presentation Determining the equation of the scale model. Determine the equations of a quadratic function given: 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. Think of These Further! Ask them to perform Activity 1. March 24, III. At this point, make students realize that some methods for solving quadratic equations are easier to use for a particular equation than others.

## Faculty/Staff

Hence, the sum of the roots represents one-half of the perimeter of the garden and the product of the roots represents its area. Linear equations are mathematical sentences with 1 as the highest exponent of the variable. Nature of Roots Sum and Product.

Ask them to perform Activity 3. In this lesson, the students should be able to come up with the quadratic equation given the roots or vice-versa.

The lesson provided the students with opportunities to see the real-life applications of quadratic equations. Part II items 1 Rubric for explanation and 6 Criteria: Let the students show different ways of solving the equation formulated in item 4. Guide the students in doing the activity. Let them identify the vertex and any point in the curve. Activity 2 provides the students with an opportunity to add or subtract rational algebraic expressions and write the results in their simplest forms.

Give the students opportunities to demonstrate their understanding of solving quadratic equations by factoring by doing a practical task. In this activity, students will investigate one difference between a linear function and a quadratic function by exploring patterns in changes in y.

If they work together, they can finish the same job in 4 days. Another interesting mathematics concept that the students will learn in this module is quadratic fachoring.

Look for values of w that would make the mathematical sentence true. The negative solutions cannot be used since the situation involves measures of length.

## 1. Solving Quadratic Equations by Factoring

Equations which are not linear: All coordinates of points on the broken x line are not part of the solution set of both inequalities. Challenge the students to find other ways of determining the equations given the roots.

In this lesson, the students will determine the solution set of quadratic inequalities algebraically and graphically.

In this activity, the students will identify which equations are quadratic and which are not. Parabolic curves are observed. In what year was the average weekly income of an employee equal to Php2, Let the students do the exercises in Activity An open box is to be formed out of a rectangular piece of cardboard whose length is 16 cm longer than its width. Area of a circle A r is a function of the radius. Provide them with an opportunity to relate or connect their responses in the activities given to their solvijg lesson, quadratic inequalities.

Give the students opportunities to demonstrate their understanding of quadratic equations by doing a practical task.

# Solving quadratics by taking square roots (article) | Khan Academy

What Makes Me True? Thus, the degree of the quadratic function is 2. Get the Daily Math Tweet! Furthermore, this lesson has given them opportunity to find the quadratic equation given the roots. Quadratic Equation Word Problems. Number of crates times profit per crate d.

By extracting the square root: Work shown is answer Minor errors may be A limited amount of work logical.