Our Bar Model tool provides a dynamic platform for creating visual representations of mathematical problems.

Teachers can model their own word problems based in Cognitively Guided Instruction and Singapore Math to help build upon each student’s natural problem solving strategies.

Conceptua Math’s Bar Model tool addresses single and multi-step problems in addition, subtraction, multiplication, and division. It is also possible to divide a bar into fractional parts.

Fireflies – Multi-Step Addition Video

Anna and Raul caught fireflies one hot summer night.

Raul caught 5 fireflies. Anna caught 4 more fireflies
than Raul.

How many fireflies did they
catch together?

Click the video to learn more about multi-step addition.

Apples – Compare, Difference Unknown

Julie has 5 apples. Lucy has
3 apples.

How many more apples does
Lucy need to have the same amount as Julie?

Click the video to learn more about comparison and unknown differences.

Visitors at the Museum – Mixed Addition & Subtraction

There are 3670 visitors at a museum. There are 1565 men, 1005 women, and the rest are children.

How many children went to
the museum?

Click the video to learn more about mixed addition and subtraction.

Elvis’ & Presley’s Pennies – Mixed Multi-Step With 3 Operations

Jayden has 347 pennies. Elvis has 4 times as many as Jayden.

Presley has 799 fewer than Elvis. How many pennies does Presley have?

Click the video to learn more about mixed multi-step with 3 operations.

Sample Problems

Our curriculum authors have crafted a selection of sample prompts to help you get started. You can use these as stand-alone problems, or as a starting point for your own story problems—simply copy and paste the text into the tool’s prompt field.

One-Step Problems:

  1. Lara enjoys reading. She has 8 mystery books, 14 fiction books, and 12 nonfiction books. How many books does Lara have?
  2. Jon has 24 baseball cards. Sam has 32 more baseball cards than Jon. How many baseball cards does Sam have?
  3. Emily has 41 beads. Hannah has 27 beads. How many more beads does Emily have than Hannah?
  4. Dora is 13 years old. She is 5 years older than Joe. How old is Joe?
  5. Sara and Greg each did jumping jacks. Greg did 8 jumping jacks. Sara did 4 times as many jumping jacks as Greg. How many jumping jacks did Sara do?

Multi-Step Problems:

  1. The school cafeteria ordered 145 red apples and 83 green apples. At the end of the day, there were 54 apples left. How many apples were sold?
  2. Kara’s goal is to read 345 pages of her book over a 3-day period. If she reads 142 pages on Monday and 115 pages on Tuesday, how many pages will she need to read on Wednesday to reach her goal?
  3. Jesse went shopping and found shirts for 7 dollars each and pants for 12 dollars each. He bought seven outfits. How much money did Jesse spend on the clothes?
  4. Joe raised 275 dollars for the school fundraiser. Mary raised 3 times as much as Joe, and that was 150 dollars more than Josie. What was the total amount raised?
  5. Ray has two kinds of coins. Two smaller coins and three larger coins have a value of 2 dollars. Two smaller coins and seven larger coins have a value of 4 dollars. What kinds of coins does Ray have?