Understanding Fractions Unit
The Understanding Fractions Unit involves representing fractional parts of whole objects, lines, and sets in order to answer questions such as:
Grade 3
Place Value Unit
The Place Value Unit involves understanding and representing the relative position, magnitude and relationships within the numeration system in order to answer questions such as:
Grade 3 - Place Value Unit
3.NF.A.2b
Represent a fraction `a/b` on a number line diagram by marking off a lengths `1/b` from 0. Recognize that the resulting interval has size `a/b` and that its endpoint locates the number `a/b` on the number line.
3.NF.A.2a
Represent a fraction `1/b` on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size `1/b` and that the endpoint of the part based at 0 locates the number `1/b` on the number line.
3.NF.A.3b
Recognize and generate simple equivalent fractions, e.g., `sf (1/2)` = `sf (2/4)`, `sf (4/6)` = `sf (2/3)`. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
3.MD.C.7c
Use tiling to show in a concrete case that the area of a rectangle with whole-number side lengths a and b + c is the sum of a x b and a x c. Use area models to represent the distributive property in mathematical reasoning.