Major Work of the Grade Third Grade Dawne Coker and Kitty Rutherford NCCTM Conference 2012

Session Agenda Overview of The Major Work of the Grade Exploring: 3rd Grade Fraction Concepts Updates Questions & Answers

Research Major Work of the Grade NC Educators CCSS Progressions Smarter Balanced Assessment Consortium NC Department of Public Instruction

Major Work of the Grade

3 rd Grade Fractions Standards

Fractions present abstract and challenging concepts to elementary and middle school children. Students often give up trying to understand and resort to memorizing rules. Difficulties with fractions lead to difficulties with… Percentages Ratios Measurement Decimals In order to help students truly learn fractions, we must first teach a deep understanding of the concept. Then we can teach a skill or procedure.

Real world contexts help dispel common misunderstandings and misconceptions Early Experiences

Four more friends come along. Show all of the different ways you could equally share a pan of brownies between four people. What fraction of the pan would each person receive? Which is a larger share? 1/6 or 1/2? Which is a larger fraction? Fair Shares six Jamie and Scott decided to share a pan of brownies. Show all of the different ways you could equally share a pan of brownies between two people. What fraction of the pan would each person receive?

Fair Shares: Big Ideas

Sample 3 rd Grade Fraction Models

Top Number (numerator): This is the counting number. It counts how many shares or parts we have. It tells how many have been counted. Fraction Symbols Bottom Number (denominator): This tells what is being counted. It tell what fractional part is counted. If the number is 6, we are counting sixths. Teaching Student-Centered Mathematics, by John Van de Walle

Representing One Fabulous Fractions, AIMS

Comparing Fractions: Big Ideas

Students often think that fractions with larger denominators are greater in size. Dispelling Misconceptions

Comparing Fractions Which is larger… or or

Comparing Fractions using Benchmark Numbers

Fractions on a Number Line

Third graders focus on equivalent fractions using models or drawings. Equivalent Fractions

Paper Folding

Jon and Charlie plan to run together. They argue about how far to run. Charlie says, I run 3/6 of a mile each day. Jon says, I can only run 1/2 of a mile. Explain why it is silly for them to argue. Draw a picture or a number line to support your reasoning. Reasoning About Equivalences

3-5 Assessment North Carolina Assessment Specifications Summary ORhttp:// Next Generations Sample Forms Smarter Balanced Assessment Consortium ( )

Unpacking Document

Third Grade Unit

Navigations Alignment

Lessons for Learning Selected tasks from the DPI Week-by- Week and Strategies Document rewritten to align to CCSS

NCDPI K-5 Math Listserv Send an to the Listserv to join:

DPI Contact Information Kitty Rutherford Elementary Mathematics Consultant Johannah Maynor Secondary Mathematics Consultant Barbara Bissell K – 12 Mathematics Section Chief Susan Hart K-12 Program Assistant