Unit 7: Understanding Operations of Fractions & Decimals
Standards:
4.NF.3 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
Apply and extend previous understandings of multiplication to:
4.NF.3 Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
- Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
- Decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
- Add and subtract fractions, including mixed numbers with like denominators, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
- Solve word problems involving addition and subtraction of fractions, including mixed numbers by writing equations from a visual representation of the problem.
Apply and extend previous understandings of multiplication to:
- Model and explain how fractions can be represented by multiplying a whole number by a unit fraction, using this understanding to multiply a whole number by any fraction less than onel
- Solve word problems involving multiplication of a fraction by a whole number.
- fraction, numerator, denominator, unit fraction, improper fraction, mixed number, equivalent fraction, simplify, convert, decompose, equation, addition/joining, addend, sum, subtraction/separating, difference, whole number, multiplication, multiply, multiple, factor, product,
- visual models (area models, length models, tape diagrams, number lines),
Songs & Videos:
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Student Interactives & Games:
- StudyJams-Add and Subtract Fractions with Common Denominators
- StudyJams-Add and Subtract Mixed Numbers
- StudyJams-Simplest Form
- www.abcya.com/games/fraction_flingabcya.com-Fraction Fling
- Mr. Nussbaum.com-Ice Cream Shop
- Sheppard Software.com-Mixed Number and Improper Pac-Man
Multiplying Fractions by a Whole Number