Module 2 enhances students’ prior work with fractions to add and subtract fractions and mixed numbers with unlike denominators. Students also interpret a fraction as the result of dividing the numerator by the denominator and interpret data in line plots.
Students use equal sharing to understand a fraction as the result of dividing the numerator by the denominator. They use models and vertical form to divide and represent remainders as fractions. Then students solve word problems involving division.
Students use models and equations to make like units before they add and subtract fractions. They analyze expressions to determine whether the units in fractions are related or unrelated, which indicates whether one or more fractions must be renamed to make like units.
Students apply knowledge of addition and subtraction of whole numbers to help them add and subtract mixed numbers. They use familiar models such as a number bond, a number line, and the arrow way to show their thinking.
Students create line plots from a given set of data. They consider all data points to decide how much of the number line should be shown and how to label the number line to present the data so it can be easily read, analyzed, and understood. Students find the sum of measurements in the data set and use models to equally redistribute the sum among all data points.
minuend
The minuend is the starting value, or the total in a part–total relationship. (Lesson 12)
subtrahend
The subtrahend is the number being subtracted from the starting value, or the part in a part–total relationship. (Lesson 12)
common denominator
denominator
equivalent fractions
fraction form
mixed number
numerator