In this video, teachers will learn classroom strategies for teaching how to interpret remainders in this professional development video from Making Math Matter.
This video illustrates a visual model for solving a word problem involving the division of fractions. The problem asks students to determine the length of a losing frog's jump in a jumping frog contest based on a comparison with the length of the winning jump. The accompanying classroom activity requires students to use visual models to work through the challenge problem presented at the end of the video, which also involves the division of fractions and comparison.
Module 2, Topics E through H provide a parallel sequence for division to that offered in Topics A to D for multiplication. Topic E begins concretely with place value disks as an introduction to division with multi-digit whole numbers (5.NBT.6). In Lesson 17, 420 ÷ 60 is interpreted as 420 ÷ 10 ÷ 6. Next, students round dividends and 2-digit divisors to nearby multiples of ten in order to estimate single-digit quotients (e.g., 431 ÷ 58 ≈ 420 ÷ 60 = 7) and then multi-digit quotients. This work is done horizontally, outside the context of the written vertical method.
The series of lessons in Module 2, Topic F lead students to divide multi-digit dividends by two-digit divisors using the written vertical method. Each lesson moves to a new level of difficulty with a sequence beginning with divisors that are multiples of 10 to non-multiples of 10. Two instructional days are devoted to single-digit quotients with and without remainders before progressing to two- and three-digit quotients (5.NBT.6).
In Module 2, Topic H, students apply the work of the module to solve multi-step word problems using multi-digit division (5.NBT.6). Cases include unknowns representing either the group size or the number of groups. In this topic, an emphasis on checking the reasonableness of their solutions draws on skills learned throughout the module, which includes using knowledge of place value, rounding, and estimation. Students relate calculations to reasoning about division through a variety of strategies including place value, properties of operations, equations, and area models.
In this interactive activity, students will be led through steps to divide a three- to four-digit number by a two-digit number. There are teaching activities as well as practice activities available. A handout that describes strategies taught during the interactive is available to be printed. There is a karaoke song with printable lyrics to watch that will help students remember the steps they learn during the activity. After utilizing this resource, the students can complete the short quiz to assess their understanding.
