Fraction Operations Using Pattern Blocks

Fractions CCSS  4.NF.3c Add and subtract mixed numbers with like denominators.  4.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction by a whole number

Fractions CCSS  5.NF.1 Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.  5.NF.4 Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.  5.NF.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

Fractions CCSS  6.NS.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.  7.NS Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.

Adding Fractions Using Pattern Blocks

Start Out Simple + To simplify: =

Start Out Simple + To simplify: =

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Unlike fractions + Change to same denominator: = + = Cannot make another shape (Simplified)

Unlike fractions + Change to same denominator: = + ==

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Subtracting Fractions Using Pattern Blocks

Start Out Simple - To simplify: =

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Unlike fractions - Change to same denominator: = - = Cannot make another shape (Simplified)

Simplifying - To simplify: ==

Unlike fractions - Change to same denominator: = - =

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Multiplying Fractions Using Pattern Blocks

Multiplying Fractions ½ X ½ means ½ of ½ which means: one of two equal parts of one-half. Pictorially: One-half ½ of one-half

Multiplying Fractions 1/3 X ½ means 1/3 of ½ which means: one of two equal parts of one-half. Pictorially: One-half 1/3 of one-half

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Dividing Fractions Using Pattern Blocks

Dividing Fractions 6  2 can mean: In 6, there are how many groups of 2?       There are 3 groups of 2 in 6, so 6  2 = 3 This is important for us when dividing fractions.

Dividing Fractions means: In one whole, there are how many halves? Pictorially: needs how many to cover it? Two cover a

Dividing Fractions means: In one-half, there are how many sixths? Pictorially: needs how many to cover it? Three cover a

Dividing Fractions means: In two-thirds, there are how many sixths? Pictorially: needs how many to cover it? Four cover

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Dividing Fractions means: In one-half, there are how many thirds? Pictorially: needs how many to cover it? We need to think of this slightly differently because it is more than 1 but less than 2

Dividing Fractions

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