Either number lines are drawn and subdivided or physical materials are compared on the basis of length. LINEAR MODEL: In the linear model lengths are compared instead of areas (e.g., 3/4 of an inch). Sample Activities: Pattern Block Fractions Quadrilateral Fractions What Fraction is Red?Ģ. When students work only with the yellow, red, blue, and green blocks, and the yellow block is given the value of 1, a red block represents one-half, a blue block represents one-third, and a green block represents one-sixth. Pattern blocks allow students to see how shapes can be partitioned into other shapes. Consisting of blocks in six geometric shapes they are referred to as green triangles, orange squares, blue parallelograms, tan rhombuses, red trapezoids, and yellow hexagons. 1) Adding Like Fractions Subtracting Like Fractions 1) Equivalent Fractions Exploration (ver. Labeled kits deprive students of opportunities to think about the size of the pieces in relation to the whole and also lead students to incorrectly assume that only one of the pieces can be considered as the whole, thereby making them less useful when working on concept of unit activities in which students name fractions when the unit is varied. When purchasing rectangular or circular fraction sets keep in mind that those with pieces that are not labeled provide more opportunities for learning. Hence, students should have opportunities to work with both rectangular and circular models. While the rectangular model is easier for students to draw precisely, the circular model emphasizes the part-whole concept of fractions and the meaning of the relative size of a part to the whole (Cramer, Wyberg & Leavitt, 2008). Rectangular, or circular fraction sets can be used to develop the understanding that fractions are parts of a whole, to compare fractions, to generate equivalent fractions and to explore operations with fractions. Useful manipulatives include rectangular, or circular fraction sets, pattern blocks, geoboards and tangrams. AREA MODEL: In the area model fractions are represented as parts of an area or region.
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