2ESO Unit 5: Proporcionality and percentages

Introduction P.88
1. Ratios and proportions
     Activities P.90: 1,2,3,4

2 Direct porportion

2.1 Solving problems: unitary method
     Activities P.91: 1,2,3
2.2 Tables of direct proportionality

2.3 Cross- multiplication (regla de tres)
2.4 The proportion rate
     Activities P.93: 4,5,6,7,8,9,10,11

3. Inverse proportion
     Activities P.95: 1,2,3,4,5,6,7.

4. Compound Proportionality
     Activities P.97: 1,2,3,4

5. Problems of proportional distribution: Direct and inverse

     Activities P.99: 1,2,3,4

6. Percentages
6.1 A percentage indicates a proportion
6.2 A percentage is a fraction
6.3 A percentage is associated with a decimal number
6.4 Quickly calculating some percentages
     Activities P.101: 1,2,3,4,5,6,7,8,9,10,11

7. Problems with percentages
7.1 Calculating the total from the percentage and the part
7.2 Calculating the percentage from the total and the share
7.3 Percentage increases
7.4 Percentage decreases
     Activities P.105: 1,2,3,4,5,6,7,8,9,10,11,12

8. Bank Interest
     Activities P.106: 1,2,3

To learn more
P.112 Piensa, experimenta, calcula
P.113 Entrénate resolviendo problemas


Algunos enlaces para repasar
En este video de Unicoos resuelven un ejercico de proporcionalidad compuesta
https://www.youtube.com/watch?v=_Fr7S3TDG4c

Y en estos de Matematicas profe Alex también
ejercicio 1
ejercicio 2
ejercicio 3

Esta es la lista de reproducción completa de Matematicas profe Alex, que tambien tiene reglas de tres simples y porcentajes
lista de reproduccion

Y aqui teneis unos ejercicios interactivos
https://www.vitutor.com/di/p/a_1e.html

1ESO: Integers

1 Positive and negative numbers
1.1 Use of positive and negative numbers
     Activities P. 65: 1,2,3,4,5,6,7,8

2 The set of integers
2.1 The set Activities
     P.67: 1
2.2 Order and comparison Activities
     P.67: 2,3,4
2.3 Absotute and Opposite values Activities
     P.67: 5,6,7,9

3 Adding and subtracting integers
3.1 Two integers
3.2 More than two integers
     Activities P.69: 1,3,4,5,6,8,9,10,11,13,14

4. Adding and subtracting with parentheses
    Activities P.70: 1,2
4.1 Adding and subtracting
     Activities P.71:3,4,5
     Activities P.72: 5,7,8,9,10,11,12,13,14,16

5. Multiplying and dividing integers
5.1 Multiplying
     Activities P.74: 1,2,5
5.2 Dividing
     Activities P.74: 3,4,6,8

6. Combined operations
     Activities P.75: 1,2,4,6

7. Powers and roots of integers
7.1 Powers of a positive number
7.2 Powers of a negative number (basis, not exponent)
7.3 Square root of an integer
      Activities P.77: 1,3,4,5,6,8,9,10,12,14,15,16.

Review activities:
If you need to review:
     P. 78: 1,4,9,16,17
     P. 81: 31,32,33

If you want to practise:
     P. 78:6,11
     P. 79: 13,15,16,17,20,21,23
     P. 80: 26,27,29
     P. 81: 34,35

If you want to learn more:
     P. 82 Express yourself

3ESO Unit 5: The language of algebra

1 Algebraic expressions
Activities P. 84: 1

2 Monomials
Activities P. 85: 1,2,3,4.

3. Polynomials
Adding, substracting, product monomial x polynomial
Activities P.86: 1,2,3
Adding, substracting, product monomial x polynomial
Activities P.87: 4,5,6,7

4. Identities
Activities P.88: 1,3 (orally)
Activities P.89: 4,5,6,7,8,9

5 Quotientes of polynomials
Dividing traditionally
Activity P.91: 1
Dividing with Ruffini's Rule
Activity P.91: 2

6. Algebraic fractions
+,-,x,:  Simplifying, Comon denominator
Activities P.93:

Review at the end of the unit
P. 94: 1,2,3
P.95: 2,4,9,10,11(A+B,A-B),12
P.96: 16,17,18,19,20,21,25
P. 97: 27,30,31,33,35

If you want to learn more
P. 95: 5,13,34,37

English: Linking words

To do writings or essays is useful to start the paragraphs with some words that indicate the purpose. If it is a reason or extra information, or a sumary or a result...

This words make the reading enjoyable. They give a feeling of being fluent and knowing a lot of English. Adjetives make the same effect. When you finish a writing it would be a great idea to review it to add some adjectives and linking words.

In this pages you can find some of this linking words

En pdf

En pdf 2

En pdf 3

With an activity

Activity 2

Women in Maths

Search on the Internet for some information about Mathematician women. Choose one in this list

Use a half of a sheet to write down some facts:

·         Whole name

·         Some biographical data

·         Some handicap she overcome

·         Which fields did she study?

You can add a photo or picture of the woman or of something that she studied or the place where she was born.

You can draw a time line

There are some interesting video on the Internet. This are the links:

video1

video 2

Hall of fame CSIC website
csic

Website Mujeres con ciencia:

Mujeres con ciencia

Website La científica del mes de la AMIT

La científica del mes

This are some of this magnificent woman:

           Theano

Hypatia

Emilie du Châtelet

Maria Gaetana Agnesi

Sophie Germain

Mary Fairfax Somerville

Ada Byron, Lady Lovelace

Sofía Kovalevskaia

Emmy Noether

Marta Sanz-Solé

Marta Macho Stadler

Mileva Maric

Ingrid Daubechies

Sara Zahedi

Katherine Johnson

Jocelyn Bell

Hedy Lamarr

3eso: Tema 4 Progresiones

Estructura del tema siguiendo el libro y ejercicios que iremos haciendo. Así sabeis que ejercicios deben estar en la libreta cuando la pida y que tenéis que estudiar.

*Introducción: Fibonacci y número áureo (P.62)


*Sucesiones
P. 64: 1,2,3,4.

*Término general de una sucesión
P.65: 9,12

*Progresiones aritméticas
P.67: 1,2,4

*Suma de una progresión aritmética
P.68: 5,7,8.

*Progresiones geométricas: término general
P.1,2,3.

*Progresiones geométricas: suma
P.70: 6,7,8,9.

*Progresiones geométricas: suma con razón menor que 1
P.71: 10,11,12

Ejercicios para repasar:
P.74: 1,3
P.75: 1,2,3,4,5,7,9,10,11,12,13,14,15,16
P.76: 20,21,23

Y aquí algunos enlaces para aprender un poco más y practicar

En estos enlaces se habla de como la sucesión de Fibonacci aparece en la naturaleza constantemente (en inglés):
Fibonacci 1
Fibonacci 2 sobre angulos de hojas

Este enlace habla de las proporciones en el cuerpo humano (en inglés). Desde los griegos se piensa que la proporción que resulta bella es 1:1.618, es decir, la que viene dada por el número áureo. En este video tenéis unos ejemplos:
Belleza y número aúreo


No podía faltar la página de Vitutor, como sabéis tiene teoría y ejercicios interactivos.
vitutor

El tema entero, en español y con ejercicios interactivos
Tema del cidead

Muchas fichas de ejercicios descargables en PDF con soluciones
Ejercicios

Un poquito de Flip Classroom con unicoos
ejercicio progresion aritmetica
calcular la diferencia

ejercicio progresion geometrica

1ESO Tema 6: The Metric System

This are the sections of the unit and the exercicies that we will do for each one: 

*Introduction

*Quantities and their measurement
P. 104: 1, 2, 3, 4.

*The Metric System
P. 105: 1,3


*Units of measurement in basic quantities: length, capacity, weigth
P. 106: 1,2
P. 107: 3,4

*Changes in units
P.108: 1,2,3,4,6,7,8

*Complex and non-complex measures
P.109: 1,2,3,4

*Measuring the area of a surface
P.111:1,2,3,4.

*Units of surface in the metric system. Changes in units. Operations with complex measures.
P.113: 8,9,10,11,12,13,14,15

Activities to review this unit:
P.114: 12,13
P.115: 14,15,16,23,24,26,27

Activities to improve my knowledge: If you do some of this activities let me know because your marks wil rise

P.115: 20,21,29,30
P. 118: Read Maths Workshop
P.119: Train yourself solving problems

Exam probably will be on Monday 11th of february

Some links to review Metric System
Historia del Sistema Metrico (Swich on subtitles)
Explanation Metric System by Maths Antics (subtitles)
Another explanation with subtitles
a trick King Henry died...
Activities

Cambio de unidades
Dos modos de hacer el cambio
Ejercicios interactivos
Ejercicios resueltos pdf
Problemas resueltos