BPS District Mathematics Standards Book

Math Learning Progressions

--> Number and Operations - Fractions


[N] Number and Quantity

Number and Operations - Fractions

3rd Grade

MAT-03.NF Domain: [NF] Number and Operations Fractions

Develop understanding of fractions as numbers.

    • MAT-03.NF.01 Understand a fraction 1/b as the quantity formed by 1 part of b equal pa
    • MAT-03.NF.02 Understand a fraction as a number on the number line
    • MAT-03.NF.03 Explain equivalence and Compare fractions

4th Grade

MAT-04.NF Domain: [NF] Number and Operations Fractions

Extend understanding of fraction equivalence and ordering.

    • MAT-04.NF.01 Explain why a fraction A/B is equivalent to a fraction (n x A)/(n x B)
    • MAT-04.NF.02 Compare fractions (unlike numerators and denominators)
    • MAT-04.NF.03 Understands a fraction is the sum of smaller fractions
    • MAT-04.NF.04 multiply a fraction by a whole number
    • MAT-04.NF.05 Express equivalent fractions with denominators of 10 and 100
    • MAT-04.NF.06 Use decimal notation for fractions with denominators 10 or 100
    • MAT-04.NF.07 Compare two decimals to hundredths by reasoning about their size

5th Grade

MAT-05.NF Domain: [NF] Number and Operations Fractions

Use equivalent fractions as a strategy to add and subtract fractions

    • MAT-05.NF.01 add and subtract fractions with unlike denominators
    • MAT-05.NF.02 Solve word problems involving addition and subtraction of fractions

Apply and extend previous understandings of multiplication and div

    • MAT-05.NF.03 Interpret a fraction as division of the numerator by the denominator
    • MAT-05.NF.04 Multiply a fraction or whole number by a fraction.
    • MAT-05.NF.05 Interpret multiplication as scaling
    • MAT-05.NF.06 Solve real world problems by multiplying fractions and mixed numbers
    • MAT-05.NF.07 divide using unit fractions and whole numbers