Integrated Mathematics Scheme Book C

A book of thirty six problems from the Integrated Maths Scheme that form interesting starting activities from which further ideas can be developed. The problems lead to work investigating Pascal’s triangle, discovering Pythagoras’ rule, and exploring the ratios and fractions of musical notes. Different approximate values and conversions are considered along with code making techniques and strategy games. A number of situations are considered combining growth rates and logarithmic graphs, dissecting rectangles and tessellating hexagons and pentagons. Everyday uses of parabolas are investigated along with levers and pulleys. Discovery of why a negative numbers times a negative number gives a positive is featured and using algebra to solve think of a number problems. Group theory is used to describe symmetry, data and graphs are used to make predictions and properties of solid shapes are investigated. Methods of showing all permutations, logic gates, trigonometry and trends are considered whilst number bases are used to discover what may have happened if humans did not have ten fingers. How computers use iterations to calculate, the loci involved in drawing ellipses, a series of number puzzles using algebra to show divisibility, designing nets, a problem using parametric equations and an investigation into recurring decimals.

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