## Common Core State Standards for Mathematics

Grade(s) 1 resources related to the following standard:
Geometry
Reason with shapes and their attributes.
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.

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This fraction supplement includes three activities in which students name and represent commonly used fractions, such as 1/2, 1/3, and 1/4. Through these activities students explore unit fractions and non-unit fractions of a whole as well as fractions of a set. Each activity includes instructions, guide questions, and extension suggestions.
Activity, Lesson Plans
This exploratory problem provides students a way to consolidate their understanding of halving and halves and gives students experience of mathematical proof. The students are given multiple images of squares split in half. The goal is to prove how they are correctly halved and to think of other ways to split a square into two halves. The Teachers' Notes page offers rationale, suggestions for implementation along with a PowerPoint presentation, discussion questions, ideas for extension and support, and printable (pdf) worksheets of the problem.
Activity
Grade Level: 1, 2, 3, 4, 5
Resource is part of a PD collection
This problem consolidates children's understanding of halving in a spatial context and will help them to develop their powers of visualization. The students are given four different shapes and the goal is to divide them each into two parts that are exactly the same. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, a link to an extension activity, Same Shapes (cataloged separately), and a link to a simpler activity, Halving (cataloged separately).
Activity
This interactive Flash applet develops children's fraction concepts (partitioning, equivalence, and unit) by building on their informal understanding of rational numbers in the familiar context of sharing cookies fairly among friends. Users decide on the number of friends, the shape and number of the cookies, and how to cut and distribute them equally. The activity is very flexible and incorporates multiple representations of fractions, area models, numerical symbols, and voice cues. Downloadable pdfs of cookie images are provided as well as a User Manual that includes implementation suggests and a review of research.
Activity, Instructor Guide/Manual, Interactive Media
Grade Level: 1, 2, 3, 4, 5
Resource is part of a PD collection