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Published byKelley Cross Modified over 9 years ago
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Proportional Reasoning Equivalents
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Integer Bars WhiteW White1 cm x 1 cmW Red2 cm x 1 cmR Lime3 cm x 1 cmL Purple4 cm x 1 cmP Yellow5 cm x 1 cmY Green6 cm x 1 cmG Black7 cm x 1 cmK Brown8 cm x 1 cmN Blue9 cm x 1 cmB Orange 10 cm x 1 cmE
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Integer Bars On a test or quiz you will have to give a semi-concrete model of the bars It is important that your semi- concrete models be as accurate as you can make them The letter representing the color of the bar should be placed in each bar’s representation once and only once – see class notes
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Equivalent Fractions How do we represent fractions using integer bars? Equal parts to whole Whole changes as necessary to make equivalents A train is two bars put together We will ALWAYS use the least number of bars possible to make a representation Do NOT draw more lines on representations than necessary
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One half is W over R: One half is R over P: One half is ? over ?: How many half equivalents are there up to an EE train?
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One third is W over L: One third is R over G: One third is ? over ?: How many third equivalents are there up to an EE train?
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One fourth is W over P: One fourth is R over N: One fourth is ? over ?: How many fourth equivalents are there up to an EE train?
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What rational number does this represent?
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Pattern Blocks Pattern blocks can be used to represent fractional ideas, but they are much more limited in the fractions they can be used to represent There are six basic shapes of blocks Hexagon – Yellow Square – Orange Rhombus (small) – Beige Rhombus (large) – Blue Triangle – Green Trapezoid – Red
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Equivalent Blocks Hexagon Trapezoid Rhombus
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Equivalent Fractions How do we represent fractions using pattern blocks? Equal parts to whole Whole changes as necessary to make equivalents We will ALWAYS use the least number of blocks possible to make a representation Do NOT draw more lines on representations than necessary
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One half One Third Two Thirds One Sixth
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Practice – It is the BEST way to learn! Go to the websites for the different manipulative. Practice multiple types of fractions using the different manipulative. What are the advantages of each? Disadvantages of each? When do we introduce manipulative?
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