NC DPI Wikicentral-
NC DPI Math- various mathematics resources for teachers, administrators, teacher educators and others who are interested in the mathematics education of North Carolina's students.
Smarter Balanced Assessment Consortium (SBAC)- sample assessment items that illustrate the rigor and complexity of next generation assessments.
Illustrative Mathematics Fractions Progression Model
Learning Math: Number and Operations, a video- and Web-based course for elementary and middle school teachers examines the three
main categories in the Number and Operations strand of Principles and Standards of School Mathematics (NCTM) — understanding numbers, representations, relationships, and number systems; the meanings of operations and relationships among those operations; and reasonable estimation and fluent computation. The course covers the real number system, place value, the behavior of zero and infinity, meanings and models of basic operations, percentages, and modeling operations with fractions, often with the aid of concrete, physical models that enhance understanding. It also examines Basic Number Theory topics, such as factors and multiples, as well as divisibility tests, at both practical and abstract levels. Accordingly, parts of the Number and Operations course may be more challenging than other Learning Math courses.
Marilyn Burns Fraction Kit: This kit includes strips for students to cut and label, plastic zip-top bags for students to store their fraction kit pieces, fraction dice for playing games, and a set of magnetic fraction strips for a classroom display kit. A key feature of the kit is that each student makes his or her own kit by folding, cutting and labeling different colored strips of paper. Cutting the fraction pieces themselves, and labeling each piece with the correct fraction , is an important beginning to students' learning. It gives them a hands-on experience fractional concepts that helps build understanding of these abstract ideas and connect them to correct mathematical representations. After making their kits, students use their pieces to play games that engage their interest and further build their understanding.
National Library of Virtual Manipulatives: The National Library of Virtual Manipulatives (NLVM) is an NSF supported project that began in 1999 to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis). Grades 3-5 Number and Operations
NCTM Illuminations Fraction Models: Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area/region, and set models. Adjust numerators and denominators to see how they alter the representations and models. Use the table to keep track of interesting fractions.
Fraction Literature Connections- list of books and authors
Mathwire: math models, literature, activities, problem solving, and games
Blackline Masters:
Creating Fractions Kits: Marilyn Burns
Circular Pieces (a)
Circular Pieces (b)
Circular Pieces (c)
Singapore Math Thinking Blocks- Thinking Blocks was developed by Colleen King in 2003 to help students who were struggling with math word problems. Before creating Thinking Blocks, Colleen was using problem sets from Singapore Math texts in a course for accelerated students at a math enrichment center. The model drawing approach in these texts gave upper elementary students a path to more advanced concepts and algebraic reasoning. Colleen sought a more flexible solution for struggling learners and designed a model drawing application called Blocks. The first group of students to test the program often made comments about how smart they were when using Blocks and how Blocks made "their brains work better".
NC DPI Math- various mathematics resources for teachers, administrators, teacher educators and others who are interested in the mathematics education of North Carolina's students.
Smarter Balanced Assessment Consortium (SBAC)- sample assessment items that illustrate the rigor and complexity of next generation assessments.
Illustrative Mathematics Fractions Progression Model
Learning Math: Number and Operations, a video- and Web-based course for elementary and middle school teachers examines the three
main categories in the Number and Operations strand of Principles and Standards of School Mathematics (NCTM) — understanding numbers, representations, relationships, and number systems; the meanings of operations and relationships among those operations; and reasonable estimation and fluent computation. The course covers the real number system, place value, the behavior of zero and infinity, meanings and models of basic operations, percentages, and modeling operations with fractions, often with the aid of concrete, physical models that enhance understanding. It also examines Basic Number Theory topics, such as factors and multiples, as well as divisibility tests, at both practical and abstract levels. Accordingly, parts of the Number and Operations course may be more challenging than other Learning Math courses.
Marilyn Burns Fraction Kit: This kit includes strips for students to cut and label, plastic zip-top bags for students to store their fraction kit pieces, fraction dice for playing games, and a set of magnetic fraction strips for a classroom display kit. A key feature of the kit is that each student makes his or her own kit by folding, cutting and labeling different colored strips of paper. Cutting the fraction pieces themselves, and labeling each piece with the correct fraction , is an important beginning to students' learning. It gives them a hands-on experience fractional concepts that helps build understanding of these abstract ideas and connect them to correct mathematical representations. After making their kits, students use their pieces to play games that engage their interest and further build their understanding.
National Library of Virtual Manipulatives: The National Library of Virtual Manipulatives (NLVM) is an NSF supported project that began in 1999 to develop a library of uniquely interactive, web-based virtual manipulatives or concept tutorials, mostly in the form of Java applets, for mathematics instruction (K-12 emphasis). Grades 3-5 Number and Operations
NCTM Illuminations Fraction Models: Explore different representations for fractions including improper fractions, mixed numbers, decimals, and percentages. Additionally, there are length, area/region, and set models. Adjust numerators and denominators to see how they alter the representations and models. Use the table to keep track of interesting fractions.
Fraction Literature Connections- list of books and authors
Mathwire: math models, literature, activities, problem solving, and games
Blackline Masters:
Creating Fractions Kits: Marilyn Burns
Circular Pieces (a)
Circular Pieces (b)
Circular Pieces (c)
Singapore Math Thinking Blocks- Thinking Blocks was developed by Colleen King in 2003 to help students who were struggling with math word problems. Before creating Thinking Blocks, Colleen was using problem sets from Singapore Math texts in a course for accelerated students at a math enrichment center. The model drawing approach in these texts gave upper elementary students a path to more advanced concepts and algebraic reasoning. Colleen sought a more flexible solution for struggling learners and designed a model drawing application called Blocks. The first group of students to test the program often made comments about how smart they were when using Blocks and how Blocks made "their brains work better".