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 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 5. Decimal Numbers

During this unit we are going to revise the operations with decimal numbers. 

Unit Index:

1.-What are decimal numbers

2.- How to read and write decimal numbers

3.- Comparing and representing decimal numbers

4.- Adding and subtracting decimal numbers

5.- Multiplying decimal numbers

6.- Dividing numbers with decimal quotient

7.- Dividing decimal numbers by an integer

8.- Dividing decimal by decimal

9.- Rounding decimal numbers

10.- Types of decimal numbers.

Summing up by the teacher B.T.

3.- Comparing and representing decimal numbers on the number line. (video1)

4 & 5.- Adding, subtracting and multiplying decimal numbers (video2)

  

Multiplying and dividing by the unit followed by zeros... (video3)

Watch the video that explains that:

6,7 and 8.- Division with decimal numbers: these videos help you revising the divisions with decimal numbers (something you have learnt in primary school) (video4)

 

Video5

 

Video6

Division: give the solution with two decimal positions = round to the nearest hundredth. Watch this video to learn this:  (video 7)

 

Execises: 📖       

Word problems with algebra

Watch the video and take notes in your notebook

Here you have another task sheet with problems: AL09   and    AL10. 👈
This is a new sheet with equations and other operations  AL11

Solving Equations

6.- Solving First degree equations

Watch these two videos (08 & 09) to beggin with simple equations. While watching, take notes in your notebook, Remember that ...

 This is because, as you have learnt, ...

👉Find here the tasksheet AL06 with some activities about solving equations. 👈 After watching the videos you will be able to do the ex: 19, 20 & 21.

👀  Video 08 teaches how to do A19 and Video 09 to A20 and A21

Here you have the lesson to learn how to solve equations with parenthesis.

Remember that when you find brackets in the equation, the first thing you have to do is to remove the brackets by applying the distributy property.

And now you are ready to do the activity A22 of the tasksheet AL6


Find the solutions to e) and n) in these to videos:

Do now this one and check the solution after. I will correct it next week:

Equations with denominators:

Equality and Equation. Algebra. Unit 6

5, 6.- Equations. Equivalent equations

Before studing and solving equations let us start by understanding what equations are and what is the solution of an equation.

And now what is and how to make equivalent equations:

After watching the videos make sure you understood the basics and are ready to go and solve real equations which is going to be the aim of our next videos.

👉 Task: Revise and complete your notes in your notebook, revise the corrected exercises and do again those that you are not sure how to do it.

Unit 6. Algebra. MONOMIALS

Within this post we are going to study the  third  and forth paragraphs of Unit 6.

3.- Monomials

Watch the video, if you missed the lessons copy the notes in your notebook, as you would do in class, and solve the exercises later




4.- Operations with monomials

This video explains what similar monomials or like monomials are and how to add or subtract monomials



Exercises about Monomials:  AL04 👈


This video  shows how to multiply, divide or opertate powers on monomials



And the exercises to practice the product, division and powers with Monomials: AL05👈

Unit 6. Algebra

UNIT 6         ALGEBRA

1. Algebraic Language
2. Numerical value of an algebraic expression
3. Monomials
4. Operations with monomials
5. Equations. Equivalent equations
6. Solving first degree equations
   
7. Word porblems and exercises

Let us start with 1.- Algebraic expressions:

Start by watching this 9' video and learn what alegebraic expressions are and get ready to do the exercises. Copy the notes in your notebook so that you can consult in the case you need it later

2.- Numerical Value of an algebraic expression. Evaluating an algebraic expression.

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: