Operation F

Operations with Fractions: Multiplication and Division

Fraction Learning Pathway

Curriculum Connections

OP F Use models to recognize that any fraction is a multiple of its unit fraction
Grade Curriculum Expectations
2
  • regroup fractional parts into wholes, using concrete materials (e.g., combine nine fourths to form two wholes and one fourth
4
  • represent fractions using concrete materials, words, and standard fractional notation, and explain the meaning of the denominator as the number of the fractional parts of a whole or a set, and the numerator as the number of fractional parts being considered;
6
  • represent, compare, and order fractional amounts with unlike denominators, including propoer and improper fractions and mixed numbers, using a variety of tools and using standard fractional notation
6
  • determine and explain, through investigation using concrete materials, drawings, and calculators, the relationships among fractions, decimal numbers and percents.
7
  • divide whole numbers by simple fractions and by decimal numbers to hundredths, using concrete materials;
7
  • use a variety of mental strategies to solve problems involving the addition and subtraction of fractions and decimals;
7
  • add and subtract fractions with simple like and unlike denominators, using a variety of tools and algorithms;
7
  • demonstrate, using concrete materials, the relationship between the repeated addition of fractions and the multiplication of that fraction by a whole number;
7
  • determine, through investigation, the relationships among fractions, decimals, percents, and rations;
8
  • represent, compare, and order rational numbers;
8
  • translate between equivalent forms of a number;
8
  • use estimation when solving problems involving operations with whole numbers, decimals, percents, integers, and fractions, to help judge the reasonableness of a solution;
8
  • represent the multiplication and division of fractions, using a variety of tools and strategies;
8
  • solve problems involving addition, subtraction, multiplication, and division with simple fractions;
9D
  • simplify numerical expressions involving integers and rational numbers, with and without the use of technology;
9D
  • solve problems requiring the manipulation of expressions arising from applications of percent, ratio, rate, and proportion;
9P
  • solve problems requiring the expression of perecnts, fractions, and decimals in their equivalent forms