- you can try this quiz: Linear systems quiz 4ESO-B
- you can solve these systems: Solving Linear systems by graphing
SYSTEMS QUIZ
If you want to check your progress about the last unit;
FRACTIONS PRACTICE
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M
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TYPES OF SYSTEMS WITH TWO LINEAR EQUATIONS IN TWO VARIABLES
1.
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There is one solution. When
graphing the lines, we observe that there is a point of intersection.
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2.
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There is an infinite number of
solutions. When graphing the lines, we observe that there are infinitely many
points of intersection. The lines intersect at every point, so they are
coincident.
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3.
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There is not a solution. When
graphing the lines, we observe that there is not a point of intersection. The lines are parallel. Parallel lines never cross.
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RADICAL EQUATIONS
Make sure you check your answers!
Remember that the every solution must satisfy the equation.
MATH QUESTION 4º ESO
WHICH IS THE SECOND DEGREE POLYNOMIAL, P(x), IF WE KNOW P(1)=P(0)=0 and P(-1)=2?
EQUATIONS IN HIGHER DEGREES AND RADICAL EQUATIONS
Solving Polynomials Equations of Higher Degree
Solving Radical Equations
CONSUMER MATHS
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MATHS IN REAL LIFE
eu.ixl/percent-of-a-number-vat-discount-and-more
eu.ixl.com/find-the-percent-discount-and-mark-up
eu.ixl.com/multi-step-problems-with-percents
eu.ixl.com/simple-interest
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INTEGERS PRACTICE
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Now, it's time to work out using integers:
themathpage.com/alg/add-subtract-signed-numbers
themathpage.com/alg/multiply-divide-signed-numbers
themathpage.com/alg/add-subtract-signed-numbers
themathpage.com/alg/multiply-divide-signed-numbers
You can play and learn!
sheppardsoftware.com/Integersubtraction
sheppardsoftware.com/Integer_multiplication
sheppardsoftware.com/mathgames/Mixed_Integers
Practise operations using integers and check them out with WIRIS
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POLYNOMIALS FACTORS
P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x)
HERE, YOU WILL FIND A SET OF RULES FOR FACTORING POLYNOMIALS AS WE HAVE SEEN IN THIS LESSON:
BUT, THERE ARE SOME TIPS FOR FACTORING POLYNOMIALS IN A VERY QUICK WAY:
P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x) P(x)
ALGEBRAIC IDENTITIES
Practise the most famous binomials and trinomials:
You can watch these videos and see how easy is it!
More information (in spanish) P. Gauss
You can watch these videos and see how easy is it!
More information (in spanish) P. Gauss
INTEGERS STARTING
First of all we'll watch a video to remember that we use negative numbers in the real life.
integers in the real world
integers in the real world
N
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{0, 1, 2, .........................}
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{.......-2, -1, 0, 1, 2,.......}
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Do you know what integers are? What are integers
Some useful lessons:
hippocampus.org/mjoseam&playlist.Integers
Some useful lessons:
hippocampus.org/mjoseam&playlist.Integers
PERCENTAGES
Check your knowledge about percentages and use them!
www.hippocampus.org/mjoseamplaylist.Percentages
Now, it's time to practise a little bit more!
bbc.co.uk/reverse_percent
Now, it's time to practise a little bit more!
bbc.co.uk/reverse_percent
ow, i
INTEGERS WARM UP
As an introduction to this unit, we can start with a song.
I hope you like it!
Chorus
Don’t be negative about negative signs
Just use your brain that you’ll train, yeah you’re gonna be fine
So don’t be negative about negative signs
You’ll be dancing with the answers to the questions in time Lyrics
MONOMIALS AND POLYNOMIALS. THE BASICS
As an introduction, we'll start reviewing what we should have learned last course:
And now, It's time to practise!
RATIO AND PROPORTIONALITY
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HELP YOURSELF WITH RATIOS AND PROPORTIONS:
TO KNOW MORE ABOUT PROPORTIONALITY:
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LCM & GCF
WE CAN LEARN WHAT`S THE MEANING OF LCM AND GCF:
LCM
LCM
REMEMBER HOW TO SAY THE ALPHABET IN ENGLISH:
PRIME NUMBERS
PRIME NUMBERS ONLY HAVE TWO FACTORS (1 AND ITSELF).
If you want to find out more prime numbers: britton.disted.camosun.bc.ca/sieve/
If you want to find out more prime numbers: britton.disted.camosun.bc.ca/sieve/
INTRODUCTION TO EQUATIONS
<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<<
Let´s check if you remember what you know about equations.
As a warm up, you can start by checking these links:
As a warm up, you can start by checking these links:
>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>>
MULTIPLES AND FACTORS
If you want to learn more about factors and multiples:
bbc/gcsebitesize/maths/number/factors
bbc/gcsebitesize/maths/number/multiples
REVISE AND PRACTISE: gcse.com/maths/factors
bbc/gcsebitesize/maths/number/multiples
REVISE AND PRACTISE: gcse.com/maths/factors
EXERCISES OF RADICALS
We check in class the exercises you have for homework.
But if you have problems, you will find the correction for some exercises here:
But if you have problems, you will find the correction for some exercises here:
SQUARE ROOTS
We´ll start learning something about square roots:
m
m
To know more about square roots:
Si quieres aprender el algoritmo para calcular la raíz cuadrada de un número:
vitutor.com
SIMPLIFYING RADICALS
As you know, radicals have to be simplified as much as possible. Here, you will find different ways to do it and some examples.
SCIENTIFIC NOTATION
Do you like powers? Sometimes, they are very useful!
Imagine we have to use these kind of numbers:
400000000000000000000000000000000000000000000000
0,0000000000000000000000000000000000000003
Wow, what a nightmare!
Let's see a very important application of powers...
hippocampus.mjoseamplaylist
Imagine we have to use these kind of numbers:
400000000000000000000000000000000000000000000000
0,0000000000000000000000000000000000000003
Wow, what a nightmare!
Let's see a very important application of powers...
hippocampus.mjoseamplaylist
POWERS AND RADICALS
Let´s start a new lesson!
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| www.sanjac.edu |
Bellow, you'll find some links in order to learn some new concepts:
And, now a specific calculator for radicals:
INTERVALS
Next week we will be working with intervals. This link could be interesting:
mathsisfun.intervals
To know more about sets:
mathsisfun.set-builder-notation
EXPONENTS
Let´s work with powers!
bbc.co.uk/bitesize/ks3/maths/number/powers_roots
mathsisfun.com/exponent.html
mathsisfun.com/algebra/exponent-laws
mathsisfun.com/exponent.html
mathsisfun.com/algebra/exponent-laws
And, now, it's time to practise. Check your results using your calculator.
PEMDAS
IF MORE THAN ONE OPERATION IS NEEDED, IT´S USEFUL THIS RULE:
PRACTICE USING THIS RULE:
mathsisfun.com/operation-order-pemdas
To know more about the order of operations:
studyjams.scholastic.order-of-operations
FRACTIONS PRACTICE
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You will find some information about fractions:
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REAL NUMBERS
To study more about numbers:
NATURAL NUMBERS
Natural numbers are numbers used for counting.
There is an infinite number of them!
The set of natural numbers is called N.
There is an infinite number of them!
The set of natural numbers is called N.
N={0, 1, 2, 3, 4, 5, ...}
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