Suitable for Grades: 5th Grade
CCSS: 5.NF.B.3, 5.NF.B.6
CCSS Description: Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?
CCSS Description: Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Finding the Whole (B) is designed to enhance students' understanding of fractions and will see them finding the whole when given a part.
Section A uses bar models in order to build students' confidence and aid in understanding this abstract concept.
Next, learners are asked to spot, explain, and correct an error, reinforcing their understanding and developing articulation.
Section C again asks pupils to find a whole when given a fraction of it, however this time the bar model has been removed and there is added challenge as the section included calculations with mixed numbers and fraction addition and subtraction.
Lastly, section D involves more complex scenarios where students find different fractions of the same number.
Pupils will be working with non unit fractions throughout and most answers are integers.