Mini Lessons on Fractions
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The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive function. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms for those who already suffer from conditions like anxiety and depression.
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Math and music are closely related. Rhythm can be measured mathematically through time signatures and beat divisions. The pitch of musical notes corresponds to measurable frequencies. Pythagoras discovered that notes were based on simple fractional string lengths that created pleasing harmonic ratios. He believed music and mathematics were intrinsically linked. Over time, composers used mathematical patterns like the golden ratio and Fibonacci sequence. The 12-tone scale solved issues with transposing between keys, linking music to irrational numbers rather than strict ratios.
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Equivalent fractions powerpoint ppt
This document discusses equivalent fractions and how to find them. It explains that two fractions are equivalent if they represent the same amount, even if the numerator and denominator are different numbers. It provides examples like 2/3 being equivalent to 8/12. The key to finding equivalent fractions is to multiply or divide both the numerator and denominator by the same number. This allows fractions to be written in simpler forms while keeping the same value. The document encourages using equivalent fractions to make working with larger numbers easier.
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