lunes, 25 de noviembre de 2013

[4eso] Algebra: equations, systems, inequations

Follow the links below to get the materials to develop fifteen sessions on solving different types of equations, systems of equations and inequations.
Topics worked: biquadratic equations, polynomial equations, rational equations, irrational equations, systems of linear equations, systems of non-linear equations, inequations degree 1, inequations degree 2, inequations degree n>2, solving problems, use of GeoGebra.

session 1 (biquadratic equations): teacher guide, handouts, solutions
session 2 (polynomial equations): teacher guide, handouts, solutions 
session 3 (rational equations): teacher guide, handouts, solutions  
session 4 (irrational equations): teacher guide, handouts, solutions 
session 5 (irrational equations): teacher guide, handouts, solutions 
session 6 (solving equations): teacher guide, handouts, solutions 
session 7 (systems of linear equations): teacher guide, handouts, solutions
session 8 (systems of non-linear equations): teacher guide, handouts, solutions 
session 9 (systems of non-linear equations): teacher guide, handouts, solutions 
session 10 (solving problems): teacher guide, handouts, solutions 
session 11 (solving problems): teacher guide, handouts, solutions 
session 12 (inequations degree 1): teacher guide, handouts, solutions 
session 13 (inequations degree 2): teacher guide, handouts, solutions 
session 14 (inequations degree n>2): teacher guide, handouts, solutions 
session 15 (inequations degree n>2): teacher guide, handouts, solutions          

GeoGebra files
equation1, equation2, linear system, non-linear system, inequation     

domingo, 24 de noviembre de 2013

[4eso] The set of the real numbers

This post contains the materials to develop nine sessions (55 minutes each) working with real numbers.
Topics worked: rational & irrational numbers, rational numbers as fractions, intervals, scientific notation, rounding numbers, approximations & errors, powers: integer & rational exponents, radicals, drawing real numbers, use of GeoGebra.

session 1 (the set of the real numbers): teacher guide, handouts, solutions
session 2 (from decimals to fractions): teacher guide, handouts, solutions 
session 3 (intervals): teacher guide, handouts, solutions  
session 4 (scientific notation): teacher guide, handouts, solutions
session 5 (errors & approximations): teacher guide, handouts, solutions 
session 6 (errors & approximations): teacher guide, handouts, solutions
session 7 (powers with integer exponents): teacher guide, handouts, solutions 
session 8 (powers with rational exponents): teacher guide, handouts, solutions 
session 9 (radicals): teacher guide, handouts, solutions       

draw real numbers
examples (GeoGebra files): ex1, ex2, ex3, ex4
assessment exercise: text, solution1, solution2, solution3, solution4