An overview of fraction concepts adapted from Beyond Pizzas and Pies found at Math Solutions. com - http://store.mathsolutions.com/product-info.php?Beyond-Pizzas-Pies-pid780.html

1. Fractions
Summer 2015

2. • Students 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 quarters of.
Describe the whole as two of, or four of the shares.
Students understand for these examples that
decomposing into more equal shares creates
smaller shares. (1.G.3)
2
Grade 1

3. • Partition circles and rectangles into two, three, or
four equal shares, describe the shares using the
words halves, thirds, half of , a third of, etc., and
describe the whole as two halves, three thirds,
four fourths. Recognize that equal shares of
identical wholes need not have the same shape.
(2.G.3)
3
2nd Grade

4. • In this grade, students learn about unit fractions
with denominators of 2, 3, 4, 6, and 8, and begin
to accumulate these to build more fractions of
the same denominator. Students recognize and
know the meaning of the symbol of a fraction.
• Students identify a unit fraction on the number
line and iterate them to find values of other
fractions, even fractions larger than 1.
4
3rd Grade

5. 4th Grade

12. Fractions on a Number Line
• https://learnzillion.com/lessons/74-place-fractions-on-a-
number-line-1

15. Fractions Close to 1/2

39. Tangram Fractions

40. Pattern Block Fractions
• https://learnzillion.com/lessons/1521-create-equivalent-
fractions-by-modeling-with-pattern-blocks
• https://www.teachingchannel.org/videos/what-fraction-
of-this-shape-is-red?fd=1

41. 41
Fractions - Conceptually
1
2
+
1
3
=
1
2
+
1
3
= More than 1 or Less than 1
Explain your reasoning
3
6
+
2
6
=
5
6
2
5

42. Is the answer bigger when you multiply?
• Try these…Are all answers bigger than 4?
•4 x 2
•4 x 2 ½
•4 x ½

43. When do you need to multiply
fractions?

44. Paul Lawrence -
Communicators
• Fractions
• Quadrilaterals
• Times Tables
• Geoboards
• Money

45. Resources
• K-5 Math Teaching Resources
• Fraction concepts & operations online virtual manipulatives:
Number Line Bars - Fractions – Divide fractions using number line bars.
Fraction Bars – Learn about fractions using fraction bars.
Fraction Pieces – Work with parts and wholes to learn about fractions.
Fractions - Adding – Illustrates what it means to find a common denominator and combine.
Fractions - Comparing – Judge the size of fractions and plot them on a number line.
Fractions - Equivalent – Illustrates relationships between equivalent fractions.
Fractions - Naming – Write the fraction corresponding to the highlighted portion of a
shape.
Fractions - Parts of a Whole – Relates parts of a whole unit to written description and
fraction.
Fractions - Rectangle Multiplication – Visualize and practice multiplying fractions using an
area representation.
Fractions - Visualizing – Illustrate a fraction by dividing a shape and highlighting the
appropriate parts.
Fraction Operations Videos for you to study from youtube:
--Adding fractions with unlike denominators with
visuals:http://www.youtube.com/watch?v=UnMOM-_kMbQ&feature=related
--Teaching adding & subtracting fractions With Cuisinaire
Rods: http://www.youtube.com/watch?v=0BSvSGIWvMs&feature=relmfu
--Brownie Pan Model for Multiplying
Fractions:http://www.youtube.com/watch?v=NBFS3KW_aIY&feature=related
--Division of Fractions (Visual Method): http://www.youtube.com/watch?v=xW1HZMe6bqQ