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Multiply a fraction by a whole number using a visual fraction model.
Clarifications:

Essential Understandings

Concrete:

  • Place fraction manipulatives in groups as indicated by the whole number in a given multiplication expression (e.g., 2 × 1/3 = 2 groups of 1/3 or 3 × 1/4 = 3 groups of 1/4).
  • Use repeated addition/skip counting to find the product (e.g., 1/3 + 1/3 = 2/3 or 1/4 + 1/4 + 1/4 = 3/4).
Representation:
  • Use a visual representation of a whole divided into equal pieces (each piece may be labeled with the corresponding unit fraction). Shade the number of groups of the fraction (e.g., 3 groups of 1/5 ) as indicated by the whole number.
  • Use repeated addition/skip counting to find the product (e.g., 1/5 + 1/5 +1/5 = 3/5).
  • Understand the following vocabulary: numerator, denominator.

Access Point #: MAFS.4.NF.2.AP.4a (Archived Access Point)
Access Point Standards

Visit the specific benchmark webpage to find related instructional resources.

  • MAFS.4.NF.2.4: Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
    1. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).
    2. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. (In general, n × (a/b) = (n × a)/b.)
    3. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. For example, if each person at a party will eat 3/8 of a pound of roast beef, and there will be 5 people at the party, how many pounds of roast beef will be needed? Between what two whole numbers does your answer lie?
Access Point Information
Number:
MAFS.4.NF.2.AP.4a
Category:
Access Points
Cluster:
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. (Major Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Access Point Courses
  • Grade Four Mathematics (#5012060): The benchmarks in this course are mastery goals that students are expected to attain by the end of the year. To build mastery, students will continue to review and apply earlier grade-level benchmarks and expectations.
  • Access Mathematics Grade 4 (#7712050): Access Courses:

    Access courses are for students with the most significant cognitive disabilities. Access courses are designed to provide students access to grade-level general curriculum. Access points are alternate academic achievement standards included in access courses that target the salient content of Florida’s standards. Access points are intentionally designed to academically challenge students with the most significant cognitive disabilities. 

  • Grade 4 Accelerated Mathematics (#5012065): In grade 4 accelerated, instructional time will emphasize six areas: (1) developing the relationship between fractions and decimals; (2) multiplying and dividing multi-digit whole numbers, including using a standard algorithm; (3) adding and subtracting fractions and decimals with procedural fluency, developing an understanding of multiplication and division of fractions and decimals; (4) developing an understanding of the coordinate plane and plotting pairs of numbers in the first quadrant; (5) extending geometric reasoning to include volume and (6) developing an understanding for interpreting data to include mean, mode, median and range.

    Curricular content for all subjects must integrate critical-thinking, problem-solving, and workforce-literacy skills; communication, reading, and writing skills; mathematics skills; collaboration skills; contextual and applied-learning skills; technology-literacy skills; information and media-literacy skills; and civic-engagement skills.

  • Foundational Skills in Mathematics 3-5 (#5012015):

    This course supports students who need additional instruction in foundational mathematics skills as it relates to core instruction. Instruction will use explicit, systematic, and sequential approaches to mathematics instruction addressing all domains including number sense & operations, fractions, algebraic reasoning, geometric reasoning, measurement and data analysis & probability. Teachers will use the listed standards that correspond to each students’ needs. 

    Effective instruction matches instruction to the need of the students in the group and provides multiple opportunities to practice the skill and receive feedback. The additional time allotted for this course is in addition to core instruction. The intervention includes materials and strategies designed to supplement core instruction.