Fraction Progression

  • The Council of the Great City Schools, Illustrative Mathematics, and Achieve collaborated on the development of an online professional development module to deepen understanding of the fraction progression across grades 3-5 - a critical focus in the college-and career-readiness standards.  Access to available materials is provided through the Illustrative Mathematics website using the links below:

    Understanding Fractions

    Task 1 (Naming the Whole): http://tasks.illustrativemathematics.org/content-standards/3/NF/A/1/tasks/833

    Task 2: (Halves, Thirds, and Sixths)

    Unit 1—Meaning of Unit Fractions

    Task 1: (Finding One): http://tasks.illustrativemathematics.org/content-standards/3/NF/A/2/tasks/169

    Task 2: (Finding 2/3):  http://tasks.illustrativemathematics.org/content-standards/3/NF/A/2/tasks/170

    Task 3: (Closest to ½):  http://tasks.illustrativemathematics.org/content-standards/3/NF/A/2/tasks/171

    Task 4: (Comparing Fractions with a different whole): http://tasks.illustrativemathematics.org/content-standards/3/NF/A/3/tasks/880

    Unit 2—Equivalent Fractions

    Task 1 (Explaining Fraction Equivalence with pictures):  http://tasks.illustrativemathematics.org/content-standards/4/NF/A/1/tasks/743  

    Task 2 (Fractions and Rectangles): http://tasks.illustrativemathematics.org/content-standards/4/NF/A/1/tasks/881   

    Unit 3—Comparing Fractions

    Task 1 (Listing fractions in increasing size): http://tasks.illustrativemathematics.org/content-standards/4/NF/A/2/tasks/811

    Task 2 (Using Benchmarks to Compare Fractions): http://tasks.illustrativemathematics.org/content-standards/4/NF/A/2/tasks/812

    Task 3:  Comparing Sums of Unit Fractions):  http://tasks.illustrativemathematics.org/content-standards/4/NF/A/2/tasks/811

    Unit 4—Addition of Fractions

    Task 1: (Comparing Sums of Unit Fractions):  http://tasks.illustrativemathematics.org/content-standards/4/NF/B/3/tasks/831

    Task 2: (Making 22 Seventeenths in Different Ways):

    http://tasks.illustrativemathematics.org/content-standards/4/NF/B/3/tasks/837

    Task 3 (Writing a Mixed Number as an Equivalent Fraction):

    http://tasks.illustrativemathematics.org/content-standards/4/NF/B/3/tasks/835

    Task 4:  (Measuring Cups):  http://tasks.illustrativemathematics.org/content-standards/5/NF/A/tasks/1518

    Unit 5—Multiplication of Fractions (part 1)

    Task 1:  (Extending Multiplication From Whole Numbers to Fractions):  http://tasks.illustrativemathematics.org/content-standards/4/NF/B/4/tasks/2076

    Task 2 (Cross-Country Training): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/4/tasks/2080

    Task 3 (Running a Mile): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/5

    Task 4 (Fundraising): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/5/tasks/150

    Unit 6: Multiplying Fractions, Part 2

    Task 1 (Connor and Makayla discuss Multiplication): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/4/tasks/321

    Task 2 (Folding Strips of Paper): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/4/tasks/965

    Unit 7: Dividing Fractions

    Video: http://www.youtube.com/watch?v=co0qfzyu4qk

    Task 1 (Dividing by one-half): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/7/tasks/12

    Task 2 (How Much Pie?): http://tasks.illustrativemathematics.org/content-standards/5/NF/B/3/tasks/858