Sample Problems for Teaching Bar Diagrams Based on Bar Diagram Research from Randall Charles By Janine Barasch, Curriculum Specialist Pearson

Problem 1 Kim has 23 antique dolls. Her father gives her 18 more antique dolls. Now how many antique dolls does she have? l_________________?__________________l 23 18

Problem 2 Debbie has saved $57.00 How much more money does she need in order to have $112.00? l__________________$112______________l $57 ?

Problem 3 Tom had some money in his savings account. He then deposited $45 into the same account. Then he had $92 in all. How much money was in his account in the beginning? l___________________$92____________________l ? $45

Bar Diagrams for Multiplication and Division Problem 1 Kim has 4 photo albums. Each album has 85 pictures. How many photos are in her 4 albums? l_________?______l 85

Joining Equal Groups Problem 2 Pam had 4 bags and put the same number of apples into each bag. She had 52 apples to place in the bags. How many apples did she put into each bag? l________52_______l ?

Equal Groups Problem 3 l_______$80_______l $16 ? Fred bought some books that each cost $16. He spent $80 altogether. How many books did he buy? l_______$80_______l $16 ?

Fractions A grocer has 42 apples. 2/7 of the apples are red, and the rest are green. How many of them are green? l_______42______l Let’s get really complex and look at a fraction problem! Do you know the total? CLICK What else do you know? And how do you show 7 parts? CLICK OK, what else do you know about this? CLICK How do you solve it? Are there more steps after you divide? R G l__________?___________l 8

There were 41 students on the gymnastic team before 6 more students joined this team. 20 students do floor routines and 7 more students do the trampoline than do the horse. How many students do each exercise? 41 6 l___________?___________l 20 floor ? trampoline & horse l______?______l 7 t ? t ? h l_____?____l