# Math Toolbox

Graphing Calculators (Windows) or (MAC) Trial Version of the TI graphing calculator software.

**GRADE 3 – Flower Gardens**

Traditionally, students’ understanding of the concept of a fraction has been developed through the idea of parts of a whole. The CCSSM requires students in grade 3 to understand that fractions are numbers that can represent an area or a location on a number line. This is a three-part exercise which was designed to show a progression of student thinking in a machine-scored format.

Part A | Part B | Part C | Scoring |

**GRADE 3 – Fractions on a Number Line**

This five-part task illustrates the important CCSSM shift to consider fractions not only as parts of a whole, but also as numbers that can be located on a number line. This latter meaning helps students develop an understanding of the structure of fractions within the number system and builds an important foundation for using number properties and developing operations with fractions.

This task uses a variety of technology formats that allows students multiple ways of interacting with the content. The drag-and-drop and slider formats are engaging for students and provide multiple entry points by allowing them to test their conjectures before submitting their answer. In addition to the technology innovations, this task is novel because it calls for students to demonstrate their understanding of fractions at a deeper level than just applying or restating rules.

Part A | Part B | Part C | Part D | Part E | Scoring |

**GRADE 3 – Mariana’s Fractions**

This five-part task illustrates a major CCSSM shift from traditional standards in grade 3 content with respect to the foundational development of fractions as numbers. Students deal with unit fractions, developing a conceptual foundation of fractions as numbers located on a number line that behave as units with respect to number properties and operations.

The concept of partitioning a number line is key to several standards in this domain, and the use of this novel technology to partition the number line is an innovative approach to capture student understanding electronically for machine scoring. The interactive technology (drag and drop) is engaging for students and offers various entry points by allowing them to test their conjectures before submitting their answer.

Part A | Part B | Part C | Part D | Part E | Scoring |

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**GRADE 3** – **School Mural**

This two-part task is visually appealing and accessible to all students, using drag-and-drop technology to connect a rectangular array with multiplication concepts and properties.

Part A | Part B | Scoring |