Five pages on equivalent fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12 and 100. On page 1 the top strip shows a fraction, and students shade the same length on the strips below it and write their fractions, like 6/8 = 9/12 and 6/12 = 2/4 = 1/2. Page 2 cuts every part of a rectangle into rows, so 3/4 becomes (3 × 3)/(4 × 3) = 9/12, then cuts tenths, fifths and halves on 10 by 10 grids into hundredths. Page 3 multiplies with no model: finding the number to multiply by, missing numerators and denominators (some past 1, like 9/4 = 27/12), and deciding whether pairs like 2/3 and 5/6 are equal. Page 4 labels number lines in sixths and twelfths, in thirds and sixths from 0 to 2, and in fifths and tenths from 1 to 2, and writes the fractions at the same point. Page 5 divides to find equal fractions (80/100 = 8/10), writes fractions in simplest form, and finds two more fractions equal to a given one.
Before page 2, fold a paper strip into thirds and shade 2 parts, then fold it in half the other way: there are now 6 parts, and 4 are shaded. Ask what happened to the number of parts and to the number of shaded parts. Each part was cut into 2, so both numbers doubled, while the shaded amount stayed the same: cutting every part into 2 is the same as taking 2/2 of each part, and 2/2 = 1. On page 4, lay the two number lines side by side on the board and have students point to fractions that land on the same mark.
Cut a sandwich into 4 equal pieces and eat 1. Then cut every piece in half: how many pieces are there now, and how many were eaten? Write both fractions, 1/4 = 2/8. A dollar works too: 1/4 of a dollar is 25 cents, or 25/100 of a dollar.
This pack supports the following Common Core State Standards for Mathematics:
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Equivalent fractions with fifths, tenths, twelfths and hundredths, and fractions greater than 1. Students shade strips, cut area models and hundredths grids, label number lines, and multiply or divide the numerator and denominator by the same number to find equal fractions.
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