BYOD CLASS-LEARNING DEGREE EQUATIONS

Title of the unit plan: Second degree equations Short description of the lesson: Learning second degree equations

- Course/Age group - 2nd course of ESO/ 13 years

#teacher/Author: @Juande Meseguer

HORARIO:

November

Program

During 6 classes of 50 minutes duration, the teacher will explain, analyze and solve equations of second grade to the student. After the aforementioned classes, two review sessions will begin. Let's start with the first three sections.

Timing

Beginning of the course. November 12, 2018

Aprende a hacer un timeline como éste aquí.

Aims of the lesson plan. 1 Complete second degree equations. 2 What are the complete second-degree equations. 3 How to solve complete second degree equations. 3.1 Identification of constants in the second degree equation. 3.2 General formula of complete second-degree equations. 4 Solution of equations of the second degree 4.1 Second-degree equations with solutions in the form of a root 4.2 Equations of the second degree with double solution 4.3 Equations of the second degree with complex solutions 5 What are the incomplete Second Degree Equations. 6 How to Solve Incomplete Second Degree Equations. 6.1 Unfinished, incomplete second-degree equations with x (b = 0) 6.2 incomplete second degree equations without number (c = 0) 6.3 incomplete second-degree equations only with the term with x² (b = 0 and c = 0)

ESO

Steps of the lesson.

1.-Complete second degree equations. In general, the equations of the second degree are those where x appears elevated to 2 in some of its terms. They can be complete or incomplete second degree equations, depending on whether they have all their terms or not. Here I am going to focus on explaining the complete second degree equations.

2.-What are the complete second-degree equations. The complete second-degree equations or quadratic equations are those that are represented as follows:

Where a, b and c are the constants of the equation: a is the number that always goes before x squared. b is the number that always goes before the x. c is the number That is, the complete second-degree equations are those that have a term with x raised to 2, term with x raised to 1 (or simply x). If any of these terms were missing, we would be talking about incomplete second-degree equations, which are resolved with a different procedure. In the first lesson of the second-grade equation course, I discuss in more detail how to recognize a second-degree equation Being equations of the second degree, they have 2 solutions. Remember that the degree of an equation is equal to the number of solutions.

3.-How to solve complete second-degree equations. Identification of constants in the second degree equation. The first step to solving complete second-degree equations is to identify the constants correctly. As we said before, the constants are the numbers that go before x squared, x and the term that does not have x. Let's see it in an example:

En este caso, delante de x al cuadrado, no hay nada, por tanto a = 1. Delante de x hay un 5, por lo que b=5. Y el término que no lleva x es un 4, por lo que c=4. Recuerda que cuando no hay nada delante de las incógnitas, es porque están multiplicadas por 1, o en otras palabras, equivale a que haya un 1 delante. En el curso de cómo resolver ecuaciones de segundo grado, se explica paso a paso cómo hacerlo para que no te equivoques.

YOU WILL LEARN THE GENERAL FORMULA.

NEXT CLASS OF 19-23 NOVEMBER

Assesment.

Solve the following equations:

Materials and Apps needed.

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Internet addresses:

https://www.problemasyecuaciones.com/Ecuaciones/segundo-grado/problemas-ecuaciones-segundo-grado-resueltas-solucion-formula-raices-factorizar.html

https://www.vitutor.com/ecuaciones/2/ecu_Contenidos.html

Tutorials for the Apps. Look at Play Store:

@JuandeMeseguer November 11, 2018 Tutorials on the Internet: https://www.youtube.com/watch?v=CCHgTWCceuA

END OF THE CLASS