Unit 2. Multiples and factors. Divisibility

 Find here, thanks to two students of ESO (Jimena and Mónica) some clear and useful notes about the unit.

There are also some videos about the main lessons.

👉 Click on the picture to download the notes for:

Prime numbers and divisibility Rules:

 👿👻👾  prezi presentation for the test of divisibility 🧛🐺👹

Prime factorization Process:

This video may help you to understand the factorization proccess.

Common Multiples and common factors:

Watch these two videos about Common Factors and the Highest Common Factor:

And Common multiples and the Lowest Common Multiple

General method to find the LCM and the HCF:

Watch this video to learn the general method to calculate LCM and HCF

Two examples, calculate the HCF and LCM of 45, 21 and 84

Question What is the HCF and the LCM when there is not any common factor?

Watch the solution here:

Click to download here the Exercises:  18-22         30-32         41-43       63-68    word problems

Unit 3. Integer Numbers

 Here you have the Index for the unit 3:

UNIT 3. INTEGER NUMBERS

1. What are Integer Numbers? Negative numbers
2. How to represent Integer numbers. The order of Integer numbers
3. Opposite numbers and Absolute value
4. Multiplying and dividing Integer Numbers
5. Adding and subtracting integer numbers
6. Combined operations with additions and subtractions
7. Powers with Integer numbers
8. Combined operations involving Integer numbers

Find here some notes taken by students of last year (Mónica and Jimena) and Alejandro who is now in Bachillerato. Thank you all.

👉 Paragraphs 1 - 4 (click on the picture to open the notes)

Absolute value and opposite numbers: 👀 watch the video: 

How to multiply and divide Integer numbers and how to apply the rule of signs:

👉 Paragraph 5.- Adding and subtracting Integer Numbers

To add or subtract you have to remove brackets applying the rule of signs and then operate (considering the signs, of course)  here

 

 

Unit 4. Fractions

 UNIT 4. Fractions

1.- What is a fraction and how to read it

2.- Fractions and units  A fraction is a division

3.- A fraction of an amount

4.- Equivalent fractions. Simplifying fractions

5.- Adding and subtracting fractions

6.- Multiplication and division of fractions

7.- Powers with fractions

8.. Combined operations

1.- What is a fraction and how to read it: 📓

2.- Fractions and units.  📘

4.- A fraction of an amount .  📘

Revise some examples watching 👀 the following  videos:

exercises --->    📔

5,. Equivalent fractions. Simplify a fraction. 📙

Here you have two very simple videos that help you understanding what equivalent fractions are

6.- Adding and subtracting fractions  📗

And you can watch 👀 this video by Professor Dave in native English. The speaking is going to be harder to understand but will help you to get used to real English 

Exercises: 📕

7.- Multiplying and dividing fractions 📗

Watch this video 👀 to revise how to multiply and divide fractions simplifying before operating if it is posible.

8.- Powers with fractions 📙

This two videos explain how to work with powers of fractions.

9.- Combined operations,     Exercises -- >> 📕   📗

Watch this video 👀 where I solve one exercise with products, addions  and subtractions

10.- Word Problems with fractions   - - >   📃 📓

Here, in these videos 👀 you can find the solution of three of them:

Combined operations and powers with Integer Numbers

Here you can find two videos to revise the combined operations involving Integer Numbers

Powers with Integer numbers: