An equivalent fractions flip book is a hands-on project that helps you see how different fractions can name the same amount. Each page of the flip book shows one fraction with a picture, such as a shaded bar, circle, or set of objects. When the pages fan open, matching fractions like 1/2, 2/4, 3/6, and 4/8 line up to show the same size shaded part.
This makes fractions feel less abstract and more like something you can build, compare, and explain.
Key Facts
- Equivalent fractions have the same value even if they use different numbers.
- You can make an equivalent fraction by multiplying the numerator and denominator by the same number: a/b = (a x n)/(b x n).
- Example: 1/2 = 2/4 because 1 x 2 = 2 and 2 x 2 = 4.
- To check equivalence, cross multiply: a/b = c/d if a x d = b x c.
- A fraction picture must divide the whole into equal parts before the shaded amount can be compared.
- Materials for a flip book can include index cards, scissors, markers, a ruler, glue, a hole punch, and a brass fastener or binder ring.
Vocabulary
- Fraction
- A fraction is a number that shows part of a whole or part of a set.
- Numerator
- The numerator is the top number in a fraction and tells how many parts are counted or shaded.
- Denominator
- The denominator is the bottom number in a fraction and tells how many equal parts the whole is divided into.
- Equivalent fractions
- Equivalent fractions are fractions that have the same value but may have different numerators and denominators.
- Whole
- The whole is the complete shape, object, or set being divided into equal parts.
Common Mistakes to Avoid
- Drawing unequal parts, which is wrong because fractions only compare fairly when the whole is divided into equal-sized pieces.
- Multiplying only the numerator, which is wrong because the numerator and denominator must be changed by the same factor to keep the fraction equal.
- Using different-sized wholes on different pages, which is wrong because 1/2 of a large rectangle may not match 2/4 of a smaller rectangle in the picture.
- Labeling the picture after shading without counting the parts, which is wrong because the denominator must match the total number of equal parts and the numerator must match the shaded parts.
Practice Questions
- 1 Make three equivalent fractions for 2/3 by multiplying the numerator and denominator by 2, 3, and 4.
- 2 Check whether 3/5 and 6/10 are equivalent by cross multiplying. Show both products.
- 3 In a flip book, why should every fraction strip use the same length rectangle before you compare shaded parts?