Curriculum
Beast Academy
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Number line from 0 to 3 marked in fourths · 1 page
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This fraction number line goes from 0 to 3, with each whole split into fourths and labeled 1/4, 2/4, 3/4, then 1 1/4, 1 2/4 and so on. Labels are not simplified on purpose: seeing 2/4 sit exactly where 1/2 would be is how kids discover equivalent fractions.
In the Common Core standards, 3rd graders first place fractions on a number line (3.NF.A.2), learning that 1/4 means the distance from 0 to the first of four equal parts of a whole. Mixed numbers and fractions greater than 1 come next. Change Smaller marks to halves, thirds, sixths, eighths or twelfths, or label the marks as decimals instead.
Split the space between 0 and 1 into as many equal parts as the denominator. Count parts from zero using the numerator. For 3/4, split into four parts and count three.
So kids can see the equivalence themselves. 2/4 lands in the same place as 1/2, which is the definition of equal fractions.