formulae:

SOLVED EXERCISES OF RADICALS  AND LOGS TO REVIEW THEIR OPERATIONS 

• RADICALS
• LOGS

CHRISTMAS TASKS

You can (VOLUNTARY) review the content of the Recovery Exam of Academic Maths 4º ESO even if you passed the exams with:

• REAL NUMBERS
• SURDS 1
• SURDS 2
• TRIGONOMETRY PROBLEMS

Here you have  the Exam of the First Semester  of 4º ESO C we have done this morning

1st Semester Exam 

This is the exam of Trigonometry we did on Friday:

Trigonometry Exam 4º ESO C

A piece of advice: 

                               Watch the video Area of a regular polygon

SOLVED EXERCISES OF TRIGONOMETRY 

https://drive.google.com/open?id=11F161PxSfIrznR6L4T8-dubDVHXj_1Y-

EXERCISES FOR 4º ESO A:

1.- Solve the following triangles
                                                                       

 2.- Calculate the angles and area of the triangles

                            

Exams´Calendar 4ºESO

TOMORROW´S HOMEWORK: 

Trigonometry World Problems

HOMEWORK:
pagw 154: exercise 1
page 155: exercises 1, 2
page 158: exercises 1, 2 and 3

(A piece of advise: after trying to solve them 

check by comparing your answers

with the solutions of Unit 7)

Solutions Unit 7

Today, we have studied the different units of measure for angles

HOMEWORK:

• Copy in your notebook the theory explied today in class
• Do exercises 29, 30, 31 and 32 (pages 159/160)

Solutions of an example and exercises 16, 17 

Solutions of Unit 11

Exam of Combinatorics (solutions)

Another exam to practise today:

Exam with solutions

 

Statistics exercises for the exam:

Simulacro de examen del tema 1

Las soluciones os las paso por fotocopias mañana en el insti

If you want to study the exam, these are the solutions of your text-book (recommended exercises are marked with a green circle)

Solutions UNIT 1

HOMEWORK:

Do the three activities that appear in the following links:

• Introduction to Statistics

• Graphs. bar charts

• Graphs. Pie and line charts

HOMEWORK:

Write a few lines about logarithms, whatever you want (when did they appear, mathematicians that worked with logs , if they are useful nowadays, are needed in labs?, did biologists need logs to study the behaviour of BLOB?)

So, these videos can help you with your task:

• Scientific article on Friday:

https://www.connexionfrance.com/French-news/Get-ready-A-blob-is-arriving-at-Paris-zoo-this-weekend

• Utilities of logs:
  

https://youtu.be/BVNl8_9L67k

1. Watch the following video:

Logarithms video 1

Logarithms video 2

2. Explain briefly:

• When did logarithms appear?

• Which mathematicians worked with them for the first time?

• Name one utility of logarithms

3. If you want to learn more, prepare yourself to enter in the wonderful 
   world of logs by watching

Logarithms Laws

HOMEWORK FOR TOMORROW

Copy in your notebook the solutions of the rationalization worksheet and review the steps used for each case:

Rationalization worksheet solutions

Solutions

HALF-LINES, INTERVALS AND UNION OR INTERSECTIONS OF INTERVALS

Exercise 1:
Complete the table behind:

Exercise 2:
Complete the following table

Hi! Let´s start working

DECIMAL NUMBERS NOTATION

Watch the videos and after that try to write the following decimal numbers:

DECIMAL NUMBERS

WRITING DECIMAL NUMBERS

contenidos de la asignatura

Estándares de aprendizaje de MATEMÁTICAS ACADÉMICAS 4ºESO:

  Los estándares que se evalúan durante todo en curso y en cada bloque son:

Para repasar Estadística:

Ejercicios de Estadística Unidimensional

Soluciones

Videos:

Introduction to Statistics. Definitions

Measures of Centre and Deviation

J

Notas de la Re-Recuperacion 4º ESO B:

CAL. 1.7 (1ªEV)
AGS.  3.2 (1ªEV) y 3.2 (2ªEV)
SMT.  2 ( 2ªEV)
DZG.  4.2 (2ªEV)


Notas de la Re-Recuperacion 4º ESO A:

ACS.  2.25 (2ªEV)
SEAZ.  2.5 (2ªEV)
AMO.  1-7 (2ªEV)
MMR.  3.25 (2EV)

(Las notas inferiores a 1.5 no aparecen)

Para repasar el examen de la 3ª Evaluación:

Ejemplo de examen resuelto

Y ejercicios resueltos de:

Vectores en el Plano

Ecuaciones de la Recta en el Plano

Características de las Funciones

Funciones Elementales

Repaso Sistemas de Ecuaciones Lineales

Ejercicios del libro:

Today, we are going to practise with the GEOGEBRA program and the graphs of the PIECEWISE FUNCTIONS:


FIRST STEP

• You have to access to the online program

Geogebra Online

SECOND STEP

• Using the  example

 watch the key sequence you have to enter in order to get the graph of the function:

• Now, try again with this fuction

The key sequence is

HOMEWORK:

Given the following piecewise fuctions, find out their graphs with Geogebra Online and write each analytical function with its associated graph drawn in your notebook

a)      

Keys sequence: 

b)

    

                                                             Keys sequence: 

c)

   

                                                             Keys sequence: 

An example of  the this week recovery exam of the second term:

Recovery Exam

ABSOLUTE VALUE FUCTIONS

You can graph an absolute value fuction just by raising the 
y-negative values of the graph points to the simmetric y-positive values above:

If the graphics of the fuctions f are         

the asociated absolute value functions are

EXERCISE: Represent graphically the fuction 

EXERCISE: Represent graphically the fuction