RATIOS AND PROPORTIONS

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HELP YOURSELF WITH RATIOS AND PROPORTIONS:
http://www.ixl.com/math/grade-7/equivalent-ratios
http://www.ixl.com/math/grade-7/solve-proportions 

TO KNOW MORE ABOUT PROPORTIONALITY:
themathpage.proportionality

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MORE ABOUT SEQUENCES

If you want to learn more about sequences:

mathsisfun.com/algebra/sequences-series
regentsprep.org/SequenceWordpractice 

VIDEO:

TRIGONOMETRIC FUNCTIONS

 HERE YOU WILL FIND SOME USEFUL LINKS TO START WITH: 

intmath.com/trigonometric-functions 

intmath.values-trigonometric-functIions 

regentsprep.trigsix. 

INTRODUCTION TO TRIGONOMETRY

INTRODUCTION TO SEQUENCES

SIMILAR TRIANGLES

SOME USEFUL LINKS TO UNDERSTAND SIMILARITY IN TRIANGLES:

mathsisfun.com/geometry/triangles-similar
mathsisfun.com/geometry/triangles-similar-finding 

INTRODUCTION TO RATIOS AND PROPORTIONS

Introduction to Ratios (new HD version): What a ratio is. Simple ratio problems.
Understanding Proportions: Understanding Proportions

MEAN PROPORTIONAL IN A RIGHT TRIANGLE

TO LEARN HOW TO USE THE MEAN PROPORTIONAL IN A RIGHT TRIANGLE:

regentsprep.LMeanP

TO PRACTISE USING IT:

regentsprep.PracMeanP

SOME INTERESTING VIDEOS YOU CAN WATCH:
similarity in right triangles
geometric mean(animation)
Right triangle similarity. Geometric mean
 

Pythagorean Theorem. Area of squares proof

A very nice way to learn the Pythagorean Theorem!

pythagorasworkshop.wikispaces.com

SIMILARITY

As an introduction, check out these links:

regentsprep.org/geometry/similar

regentsprep.org/geometry/Moresimilar.htm

To get more information about the topic:

regentsprep.org/geometry/similarProof

regentsprep.org/geometry/strategy

Some practice:

regentsprep.org/geometry/PracSim


Similarity in right triangles:

WORD PROBLEM USING DECIMALS

This Alicia and Sara's problem:
A boy is running a 100 metres race. He runs 4/10 and his friend runs 5/10. How many metres do the boy and his friend run in decimal numbers?

DECIMALS SONG

THE PYTHAGOREAN THEOREM

MORE DECIMALS PRACTICE

Sometimes it's difficult to calculate expressions involving decimals. 
Learn some useful tips using fractions.

Examples:
m

35 x 0,2 = 35 x 1/5 = 35 : 5 = 7

24 x 0,5 = 24 x 1/2 = 24 : 2 = 12
44 x 0,25 = 44 x 1/4 = 44 : 4 = 11

60 x 0,75 = 60 x 3/4 = 60 x 3 : 4 = 45

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7 : 0,2 = 7 : 1/5 = 7 x 5 = 35
12 : 0,5 = 12 : 1/2 = 12 x 2 = 24
11 : 0,25 = 11 : 1/4 = 11 x 4 = 44
45 : 0,75 = 45 : 3/4 = 45 x 4/3 = 60

SIMULTANEOUS LINEAR EQUATIONS

TO KNOW MORE ABOUT SYSTEMS OF LINEAR EQUATIONS:
themathpage.com/simultaneous-equations
bbc.co.uk/schools/gcsebitesize/maths/simultaneoushirev1
mathplanet.com/solving-systems-of-equations-in-two-variables

WORD PROBLEMS USING SYSTEMS OF EQUATIONS

SOME PROBLEMS CAN BE SOLVED USING SYSTEMS OF EQUATIONS:

lINEAR EQUATIONS SYSTEMS:
regentsprep.org/pracword 

NON LINEAR EQUATIONS SYSTEMS:
regentsprep.org/quadLineaSyspractice
 

DO YOU LIKE GEOMETRY?

As an introductuion, we'll start reviewing what you already know about Thales' Theorem:

thales_theorem

Do you remember similar triangles?

youtube.KHAN.similartiangles1
youtube.KHAN.similartriangles2 

In the next link there are useful information to work with. Go ahead!

mathsisfun.triangles-similar-theorems

mathsisfun.resizing
mathsisfun.similar 

GEOMETRY VOCABULARY

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