Principios de Modelación Matemática Alfredo Muñoz
1. Module 1 & 2
1. Actividad 1: página GeoGebra Alfredo Muñoz
2. Module 3 & 4
1. Solving Linear Systems by Graphing: Quiz (V1)
3. Module 5 & 6
1. Quadratic Inequalities
4. Key Activity
1. Key Activity PM2000 EM23

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Principios de Modelación Matemática Alfredo Muñoz

Alfredo Muñoz, Jan 21, 2023

PM2000 Topics arranged by modules.

Module 1 & 2
1. Actividad 1: página GeoGebra Alfredo Muñoz
Module 3 & 4
1. Solving Linear Systems by Graphing: Quiz (V1)
Module 5 & 6
1. Quadratic Inequalities
Key Activity
1. Key Activity PM2000 EM23

Module 1 & 2

M1. Linear Equations and the Concept of Linear Functions. M2. Linear Functions.

1. Actividad 1: página GeoGebra Alfredo Muñoz

Actividad 1: página GeoGebra Alfredo Muñoz

LINEAR FUNCTION

In this site, you'll analyze the [b]basic elements[/b] of the linear function to better comprehend its behavior.[br][math]f\left(x\right)=mx+b[/math][br][math]m=Slope[/math][br][math]b=Y-Intercept[/math]

Intro to slope-intercept form

Lines simulation

Linear function activity

[b]Slope - Intercept[br]General[br]Point - Slope[/b]

Question 1

[b]Select the options that apply.[br][/b]The slope is the rate of change of the linear function, and it can have the following behavior:

Constant Undefined Increasing Decreasing All the previous ones

Qustion 2[br]Write the formula for finding the slope of a line.

2.

Module 3 & 4

M3. SLE Applications, Linear Inequalities and their Solutions. M4. Quadratic Equations and Functions.

1. Solving Linear Systems by Graphing: Quiz (V1)

2.1.

Solving Linear Systems by Graphing: Quiz (V1)

In the applet below, note the system of equations displayed. [br][br][b][color=#ff00ff]One equation is displayed in pink.[br][/color][/b][color=#9900ff][b]The other equation is displayed in purple.[br][br][/b][/color][b]Directions: [br][br][/b][color=#ff00ff][b]1) Move the pink points (of the pink line) so that this pink line becomes the graph of the pink [br] equation displayed. [br][br][/b][/color][color=#9900ff][b]2) Move the purple points (of the purple line) so that this purple line becomes the graph of the [br] purple equation displayed. [br][/b][br][/color][b]3) [/b][b]Enter the respective [i]x[/i]- and [i]y-[/i] coordinates of the solution to this system of equations. [br] If you enter this correctly, the applet will confirm this.[br][br][/b][color=#0000ff][i]Repeat this process as many times as you need in order to master this concept! [/i][/color]

[color=#980000][b]Note to Instructors:[/b][/color][br][br]Applet generates problems for which coordinates of solutions are integers.

3.

Module 5 & 6

M5. Applications of Quadratic Functions, Systems of Quadratic Equations and Quadratic Inequalities. M6. Polynomial Functions.

1. Quadratic Inequalities

3.1.

Quadratic Inequalities

Video Tutorial on How to Solve Quadratic Inequalities

Tool-Tip

You may adjust the zoom of the graph by pinching on the x-axis or y-axis.

Quadratic Inequality Practice

Quadratic Inequality Practice Level 2

If you feel comfortable solving quadratic inequalities, try a slightly higher level variation of the question type below. Hint: you'd want to make the RHS of the inequality be 0.[br][br]No other hints will be given. Be sure to sketch your own quadratic graph to solve the inequality!

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