ALEX Classroom Resource

  

Finding a Fraction of a Set StudyJam

  Classroom Resource Information  

Title:

Finding a Fraction of a Set StudyJam

URL:

https://studyjams.scholastic.com/studyjams/jams/math/fractions/finding-a-fraction.htm

Content Source:

Other
http://studyjams.scholastic.com/
Type: Interactive/Game

Overview:

In this interactive activity, students will be led through steps to find a particular fraction of a set (for example, one-fifth of 20). There are teaching activities as well as practice activities available. A handout that reviews the strategies taught during the activity can be printed. After utilizing this resource, the students can complete the short quiz to assess their understanding.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 4
16. Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.

a. Model and explain how a non-unit fraction can be represented by a whole number times the unit fraction.

Example:
9/8=9 x 1/8

b. Extend previous understanding of multiplication to multiply a whole number times any fraction less than one.

Example: 4 x 2/3= 4 x 2/3= 8/3

c. Solve word problems involving multiplying a whole number times a fraction using visual fraction models and equations to represent the problem.

Examples: 3 x 1/2, 6 x 1/8
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Model and explain a fraction as a multiple of a unit fraction.

  • Example: 5/3 = 1/3 + 1/3 + 1/3 + 1/3 + 1/3 or 5 x 1/3 or (5 x 1)/3.
  • Multiply a whole number times any fraction less than 1 and justify the product.

  • Example: 5 x 2/3 is 5 sets of two-thirds, which is ten-thirds. or 5 x 2/3 = 5 x (2 x 1/3) = (5 x 2) x 1/3 = 10 x 1/3 or 10/3.
  • Solve word problems involving multiplying a whole number times a fraction using a visual model and equation to represent the problem.
Teacher Vocabulary:
  • Whole number
  • Fraction
  • Non-unit fraction
  • Unit fraction
  • Fraction less than one
  • Fraction greater than one
  • Visual fraction model
  • Equation
  • Decompose
  • Recompose
  • Compose
Knowledge:
Students know:
  • Models or equations to represent multiplication situations.
  • The fraction a/b is equivalent to the unit fraction 1/b being iterated or "copied" the number of times indicated by the numerator, a.
Skills:
Students are able to:
  • Model and explain how a non-unit fraction can be expressed as multiplication.
  • Multiply a whole number times any fraction less than one.
  • Solve word problems involving a whole number times a fraction using a visual fraction model and equation to represent the problem.
Understanding:
Students understand that:
  • Previous work involving multiplication with whole numbers can be extended to fractions in showing multiplication as putting together equal-sized fractional groups.
  • Problem solving situations involving multiplication of a whole number times a fraction can be solved using a variety of strategies, models, and representations.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.4.16.1: Recognize fractions in their simplest forms.
M.4.16.2: Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
M.4.16.3: Demonstrate an understanding of fractional parts.
M.4.16.4: Apply properties of operations as strategies to multiply and divide.
M.4.16.5: Recall basic multiplication facts.
M.4.16.6: Define multiple.
M.4.16.7: Compare two fractions with the same numerator or the same denominator by reasoning about their size.
M.4.16.8: Recognize that comparisons are valid only when the two fractions refer to the same whole.
M.4.16.9: Record results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
M.4.16.10: Name the first ten multiples of each one-digit natural number.
M.4.16.11: Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
M.4.16.12: Solve simple fractions using multiplication strategies.
M.4.16.13: Recognize equivalent forms of fractions.
M.4.16.14: Multiply proper fractions with common denominators 2-10.
M.4.16.15: Solve word problems using whole numbers.
M.4.16.16: Write number sentences for word problems.
M.4.16.17: Identify key terms in word problems.
M.4.16.18: Multiply and divide within 100.
M.4.16.19: Recall basic multiplication facts.

Prior Knowledge Skills:
  • Define fraction, numerator, and denominator.
  • Identify the parts of a fraction a/b as the quantity formed by a parts and size 1/b.
  • Label numerator, denominator, and fraction bar.
  • Identify parts of a whole with two, three, or four equal parts.
  • Distinguish between equal and non-qual parts.
  • Partition circles and rectangles into two and four equal shares; describe the shares using the words halves, fourths, and quarters; and use the phrases half of, fourth of, and quarter of.
  • Demonstrate conceptual understanding of adding or subtracting 10 using concrete models.
  • Recognize the place value of ones, tens and hundreds.
  • Count forward and backward by 100.
  • Count forward and backward by 10.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.4.15 Model decomposing fractions having like denominators, using visual fraction models (limit to half and fourths).


Tags: denominator, fraction, multiply, numerator
License Type: Custom Permission Type
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AccessibilityText Resources: Content is organized under headings and subheadings
Comments

The quiz may be completed as a whole group or independently on student devices.

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  This resource provided by:  
Author: Hannah Bradley