This activity includes 15 Cognitive Guided Instruction word problems asking students to share a whole equally. Students will progress from equally sharing one, to equally sharing a set. The final set of problems ask students to share a set in fractional part.
Question #5 asks student the following question:
If you had 4 hexagons and had to share with 6 students,
what piece or pieces would each student have?
Teacher answer key: Four shared by 6 =
4 ÷ 6 = 4/6 or 2/3
Each student would receive four green triangles, or two blue rhombi. This would be a great place to talk about lowest terms or simplest form. Showing the answer with two pieces is easier than showing it with 4 pieces, so 2/3 is the simplest form of 4/6. They are equivalent, but the answer should be written 2/3.
Though I designed this activity with 5th grade in mind, these problems are appropriate for beginning fraction discussions in 3rd grade all the way to the struggling 8th grader who doesn't understand fractions as division problems.
This is background, foundational work on common denominators, simplest form, mixed numbers and improper fractions through discussion and real context.
Division is practiced as a fractional concept, and leads naturally to dividing a whole by a fraction WITHOUT using the multiplication of a reciprocal.
These pages will be used to lead class discussions and to allow students to share strategies on how they solved the problem. Teacher discussions should allow them to develop the abstract interpretation of a fraction as division of the numerator by the denominator.
• 7 problems will result in a fraction of the whole,
• 4 problems will result in a mixed number solution.
• The last 4 problems challenge students to share a fractional group.
I have also provided paper templates for pattern blocks that you can print and cut out if you don't have the plastic ones.
(The purple and brown fractions pieces can by found at the following website. http://www.enasco.com/product/TB15438T I brought two sets to add to the pattern block set I already had in my classroom.)
Please Rate my work. :-)
Adorable clipart from http://www.mycutegraphics.com