## Common Core State Standards for Mathematics

Grade(s) 4 resources related to the following standard:
Number and Operations—Fractions
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
b. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)

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In this 9-minute video, Amy Spies shows her 4th grade class working through a problem multiplying a fraction by a whole number. During the lesson Amy realized that the students were not pulling out the knowledge that she had intended. She then revised the lesson and gave them examples and non-examples and through discussion had them make the connection between repeated addition and multiplying a fraction by a whole number. Students also gained a deeper understanding of the meaning of the numerator and denominator in these repeated addition problems.
Lesson Plans, Video
In these pattern block activities, students explore geometric models of fractions to discover relations among them, reinforcing their concepts of fractions and providing a visual model for fraction operations. Lessons can be worked on paper or using a pattern block applet. Teacher notes are included.
Activity, Problem Set
Grade Level: 3, 4, 5, 6+
This interactive Java applet allows users to explore rotations and composing shapes by selecting various shapes to place on the drawing board, then moving and rotating them. There are many other possibilities for instruction including fractions, patterns, ratios, tessellations, symmetry, patterns, and perimeter. Shapes which can be placed on the board include equilateral triangles, isosceles trapezoids, regular hexagons, rhombuses, and squares. Pieces and groups can be cloned, and the colors can be changed. Their dimensions allow them to tessellate easily.
Activity, Interactive Media
Grade Level: K, 1, 2, 3, 4, 5
This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations.
Instructional Strategy, Reference Materials