Unit A

Use proportional reasoning to make reasonable estimates

Curriculum Connections

UNIT A Use proportional reasoning to make reasonable estimates
Grade	Curriculum Expectations
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).
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.).
2	compare fractions using concrete materials, without using standard fractional notation (e.g., use fraction pieces to show that three fourths are bigger than one half, but smaller than one whole).
3	divide whole objects and sets of objects into equal parts, and identify the parts using fractional names (e.g., one half; three thirds; two fourths or two quarters), without using numbers in standard fractional notation.
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 );
4	compare fractions to the benchmarks of 0, ¹⁄₂ and 1 ( e.g., ¹⁄₈ is closer to 0 than ¹⁄₂; ³⁄₅ is more than ¹⁄₂);
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;