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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.
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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: =
Unlike fractions + = Change to same denominator: = + Cannot make another shape (Simplified)
Unlike fractions + = Change to same denominator: = = +
Subtracting Fractions Using Pattern Blocks
Start Out Simple - To simplify: =
Unlike fractions - = Change to same denominator: = - Cannot make another shape (Simplified)
Simplifying - To simplify: = =
Unlike fractions - = Change to same denominator: = -
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
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
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