In Grade 5, students divided whole numbers by unit fractions.
Students continue this understanding in Grade 6 by using visual models and equations to divide whole numbers by fractions and fractions by fractions to solve word problems.
In Grade 7, students will continue their work with fractions to include all rational number operations (positive and negative). Students
This lesson introduces multiplication as scaling. Students already know that multiplying a number by 1 results in the original number. Now they learn that multiplying a number by a whole number greater than 1 results in a product greater than the original number, and multiplying a number by a fraction less than 1 results in a product less than the original number.
One goal of the Common Core is to develop a deeper understanding of fractions by using a progression of concepts from simple to complex. This lesson prepares students for the conceptual shift involved in progressing from adding and subtracting whole numbers to adding and subtracting fractions.
In this lesson, students apply their understanding of fractions to compare two fractions. They use fraction models and number lines to help them reason about the size of unit fractions.
Didactic starting position
Characteristics of the students:
Foreknowledge: many children may have been in contact with lessons about trees, our nature, the forest and other subjects to his manner. Students from every age know about trees and the forest so most of them know how a tree ‘works’.