| 1 |
- divide whole objects into parts and identify and describe, through investigation, equal-sized parts of the whole, using fractional names (e.g., halves; fourths or quarters).
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| 2 |
- determine, through investigation using concrete materials, the relationship between the number of fractional parts of a whole and the size of the fractional parts (e.g., a paper plate divided into fourths has larger parts than a
paper plate divided into eighths) (Sample problem: Use paper squares to show which is bigger, one half of a square or one fourth of a square.).
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| 4 |
- demonstrate and explain the relationship between equivalent fractions, using concrete materials (e.g., fraction circles, fraction strips, pattern blocks) and drawings;
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| 4 |
- compare and order fractions (i.e., halves, thirds, fourths, fifths, tenths) by considering the size and the number of fractional parts (e.g., 4⁄5
is greater than 3⁄5 because there are more parts in 4⁄5;
1⁄4 is greater than 1⁄5
because the size of the part is larger in 1⁄4);
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| 5 |
- demonstrate and explain the concept of equivalent fractions, using concrete materials (e.g., use fraction strips to show that 3⁄4
is equal to 9⁄12);
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| 6 |
- represent, compare, and order fractional amounts with unlike denominators, including proper and improper fractions and mixed numbers, using a variety of tools and using standard fractional notation;
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| 6 |
- determine and explain, through investigation using concrete materials, drawings, and calculators, the relationships among fractions, decimal numbers, and percents
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| 7 |
- add and subtract fractions with simple like and unlike denominators, using a variety of tools and algorithms;
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| 8 |
- solve problems involving addition, subtraction, multiplication, and division with simple fractions.
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