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Exploring FractionsSusan Muir
K-4 Math CoachJanuary 29th , 2010
Discuss with your elbow partner, instances in your professional life where “one half” has significance.
Instructional Strategies: Accessing Prior Knowledge through Connections
The Meaning of One Half
What is a Fraction?Fraction Principles- Exploration and Discussion
Fraction QuantityExploring Part-Whole RelationshipsLet’s Experience a ProblemWhere Do I Go From Here?
Agenda
Fractions are used frequently in real life situations.
Fractions are all Around Us
1.A fraction has a numerator and a denominator.
The denominator tells the total number of equal parts in a whole, and the numerator tells the number of parts accounted for.
Fraction of a Set3 of the 4 balls are soccer balls.3/4 are soccer
balls.
Fraction Principles
2.You have to know what the whole is to say what the fraction is.
Fractions represent parts of the whole. As the whole changes, so does the fraction.
Fraction Principles
3. The equal parts into which the whole is divided are equal but do not have to be identical.
4. Fraction parts do not have to be adjacent.
Fraction Principles
5. The parts of a set or group do not have to be identical.
6. If the numerator and denominator of a fraction are equal, the fraction represents one whole, or 1. Therefore the whole number can be represented as fractions.
2/2, 3/3, 4/4, and so on.
Fraction Principles
7. Fractions have more than one name.
8. Fractions with a numerator greater than their denominator are greater than 1.
7/4 is greater than 1
Fraction Principles
Fraction QuantityArea Models
Set ModelsLinear Models
Exploring Part Whole Relationships
Counting ActivitiesTrading Activities
Find the Whole/Part/Fraction
Three Part Lesson Model
Before- Gains Background Knowledge
During-Explore Activity
After- Show and Share/ Connect and Reflect
Let’s Experience a Problem
Learning Materials http://hoodamath.com/games/fractioneaters.php fraction game http://nces.ed.gov/nceskids/createagraph/ graph maker http://themathworksheetsite.com/numline.html Number line generator http://www.mrnussbaum.com/tonyfraction.htm Pizza Shop ( Michelle Morley’s Website) http://www.curriculumsupport.education.nsw.gov.au/secondary/mathematics/years7_10/teaching/frac.htm Fraction website with printable resources- using pattern blocks to teach fractions http://www.eworkshop.on.ca/edu/core.cfm Ontario Online Teaching Resource
Planning Outcome-based Lessons
Learning More About Teaching Fractions Workshop Wednesdays
Where Do I Go From Here?
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