As there are three more groups of girls than boys, there are a total of \(3 \times 5 =15\) more girls than boys.ĮXAMPLE: Ms. There are thus \(5\) students per each of these groups. The diagram shows that we can think of the class as divided into a total of seven groups. How many more girls are there than boys?Īnswer: For every two groups of boys there are a matching five groups of girls. The ratio of boys to girls in the class is \(2:5\). Setting up proper student understanding of “ratio” and “percentage increase,” and so on, needs to conducted carefully and slowly.)ĮXAMPLE: There are \(35\) students in a class. The sample of problems below give a swift overview of the type of material that can be addressed with tape diagrams. (Recall that these notes are written for educators. Tape diagrams often help with schoolbook ratio problems. (Serves me right!)ĭo look at the internet for many examples of this work. (Hee hee hee.) How much profit do I expect to make?Īnswer: I see I make no profit. I’ll buy a computer with the intent of reselling it, but I’ll mark up its price by a third and then say it’s on sale, \(25\%\) off its marked price. Tape diagrams are a wonderful tool in the K-5 curriculum for developing true number sense, especially with fractions and percentages.ĮXAMPLE: I am a dishonest person. Or better yet, that \(32-17\) is the same as \(\left(32-3\right)-\left(17-3\right)\), which allows us to avoid carries if we like the traditional subtraction algorithm and want to use it.Ĭomment: Seeing that \(1005-276\) is equivalent to \(999-270\) is lovely with regard to using the traditional algorithm. It shows that the two numbers differ by \(3 10 2=15\). Search on the internet for “tape diagrams” and a plethora of materials will be revealed to you.Īs a first example, this picture compares the quantities \(32\) and \(17\). Tape diagrams are also known as strip diagrams and bar diagrams and are used in a number of curriculums about the globe. Such a diagram is simply a “one-dimensional” version of the area model, using a strip of paper to represent quantities. Common Core State Standards in Mathematics mentions the use of tape diagrams to visualize relationships between quantities and to solve mathematical problems.
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