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

Activities: AL01 and AL02

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

Activity AL03

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: 📖       

Unit 3. Integers (part 2)

 

👉 Paragraph 6.- Combined operations with Integers

 

👀  Here you have the videos to revise and watch before doing the exercises: 

👀And these videos to correct some of the exercises:

 

👉 Paragraph 7.- Powers with Integers. Click on the image to open the notes

📓 Find here all the exercises to do:  

                                                          

Unit 3. Integer Numbers (part 1)

 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

 

 

Combined operations and powers with Integer Numbers (part 3)

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

Powers with Integer numbers: