For parents · 1st to 7th grade

Tape diagrams (strip diagrams)

Tape diagrams explained for parents: how drawing a problem as strips helps with word problems, fractions and ratios, two worked examples and 3 ten-minute ways to help.

What it is

The Common Core glossary defines a tape diagram as "a drawing that looks like a segment of tape, used to illustrate number relationships", also known as a strip diagram, bar model, fraction strip or length model.

Children use them from the early grades for addition and subtraction word problems, then for multiplication, fractions and, in 6th grade, ratios (6.RP.A.3 names tape diagrams as one way to reason about ratios).

A worked example

Fractions: 24 students are in a class and 3/8 of them walk to school. How many walk?

3
3
3
3
3
3
3
3
24 students
  1. Split the tape into 8 equal parts: 24 ÷ 8 = 3 in each part.
  2. Shade 3 parts: 3 × 3 = 9 students walk.

Ratios: the ratio of boys to girls in a club is 2 : 3. There are 30 children. How many are girls?

Boys
6
6
Girls
6
6
6
30 children
  1. 2 + 3 = 5 equal units make 30, so 1 unit = 6.
  2. Girls: 3 units = 18 (and boys 2 units = 12).

Common mistakes parents make (with the best intentions)

  • Unequal boxes for equal amounts. Equal parts should look equal.
  • No labels. Writing the numbers and a ? on the diagram is what makes it useful.
  • Skipping the diagram on "easy" problems, then being stuck on harder ones. Practicing on easy problems is the point.

Three 10-minute ways to help at home

Draw before you solve

On the next word problem, your child draws the tape first and marks the ? before doing any calculation.

Paper strip folding

Fold a strip of paper into 4 equal parts to show 1/4, then into 8. Which fraction is bigger, 3/8 or 1/4?

Recipe ratios

A drink is 1 part juice to 4 parts water. Draw the tape for a 10-cup jug. How much juice?

Make a practice sheet on this

A printable sheet on "Solving ratio and fraction word problems with tape diagrams" with an answer key, ready in about a minute. Free to start.

Make a practice sheet
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