Instructional Component Type(s): Tutorial, Virtual Manipulative, Assessment, Presentation/Slideshow, Teaching Idea

Related Standards: MAFS.5.NF.2.4, MAFS.6.EE.2.7, MAFS.7.NS.1.2

Direct Link: https://www.khanacademy.org/embed_video?v=CTKMK1ZGLuk *

Examples of Opportunities for In-Depth Focus When students meet this standard, they fully extend multiplication to fractions, making division of fractions in grade 6 (6.NS.1) a near target.

Examples of Opportunities for In-Depth Focus When students write equations of the form x + p = q and px = q to solve real-world and mathematical problems, they draw on meanings of operations that they are familiar with from previous grades’ work. They also begin to learn algebraic approaches to solving problems.^{16} ^{16} For example, suppose Daniel went to visit his grandmother, who gave him $5.50. Then he bought a book costing $9.20 and had $2.30 left. To find how much money he had before visiting his grandmother, an algebraic approach leads to the equation x + 5.50 – 9.20 = 2.30. An arithmetic approach without using variables at all would be to begin with 2.30, then add 9.20, then subtract 5.50. This yields the desired answer, but students will eventually encounter problems in which arithmetic approaches are unrealistically difficult and algebraic approaches must be used.

Fluency Expectations or Examples of Culminating Standards Adding, subtracting, multiplying, and dividing rational numbers is the culmination of numerical work with the four basic operations. The number system will continue to develop in grade 8, expanding to become the real numbers by the introduction of irrational numbers, and will develop further in high school, expanding to become the complex numbers with the introduction of imaginary numbers. Because there are no specific standards for rational number arithmetic in later grades and because so much other work in grade 7 depends on rational number arithmetic, fluency with rational number arithmetic should be the goal in grade 7.

The video describes how to multiply fractions and state the answer in lowest terms.

Subject(s): Mathematics

Grade Level(s): 5, 6

Suggested Technology: Computer for Presenter, Internet Connection, Interactive Whiteboard, LCD Projector

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Aligned Standards

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