Introduction to Fractions

Congruency table

New York State Alignment

NYS Standard: 1.G.3
Grade: One
Domain: Geometry (1.G)
Cluster: Reason with shapes and their attributes.
Standard: 3. Partition circles and rectangles into two and four equal shares, describe the shares    using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these   examples that decomposing into more equal shares creates smaller shares.
Page Number: 16 (NYS P-12 Common Core Learning Standards for Mathematics) (PDF)

 

Instructional Task	Learning Objectives	Student Work	Assessment Tools
With limited assistance from peers and the teacher, students will draw lines which divide circles and rectangles in half/quarters (Individual)	TSWBAT draw lines on images of circles and rectangles which divide the shape in half/fourths and color in one-fourth/one-half.	A series of worksheets of circles/rectangles which are divided in half/fourths in a number of different ways (vertical, horizontal, diagonal) (see appendix).	Anecdotal Records while checking student work (see procedure).
Students will create half-and-half rectangle rugs and rugs composed of fourths using crayon or colored shapes (triangles, squares, and rectangles). (Individual)	TSWBAT demonstrate the concept of half /fourths by creating “rugs” using two or four equal shares which together form a circle/rectangle	A series of rugs composed of two/four equal parts of different colors. Students will have varying divisions (vertical, horizontal, diagonal) (see appendix).	Anecdotal Records while checking student work (see procedure).
Students will circle figures that accurately show halves and fourths. (Individual)	When given a series of images TSWBAT circle figures which accurately represent halves and fourths.	A series of worksheets with shapes including both examples and non examples of halves and fourths. Students will circle those figures which accurately show each (see appendix).	Anecdotal Records while checking student work (see procedure).
Students will demonstrate his/her understanding of fractions ½ and ¼ .	TSWBAT demonstrate his/her understanding of fractions through answering a series of questions about the fractions ½ and ¼ at a level 4 on the Halves and Fourths Representation Rubric.	Post-assessment (see appendix).	A four point Halves and Fourths Representation Rubric is used to assess each student’s final assessment (Post Test)(see Assessment Plan).