Find equivalent fractions and order fractions.
Order fractions, decimals and percentages.
Number Framework Stages 7 and 8
Ordinary squared paper
Set a comparison problem: “Twins receive identical cakes for their birthday. Jose cuts her cake into fifths and Michael cuts his into quarters. Jose eats of 4/5 her cake and Michael eats 3/4. Who eats more cake?”
Discuss why a 5 by 4 cake allows fifths and quarters to be drawn easily. The students draw two 5 by 4 grids on the large blank squared paper. The students shade the fractions.
Discuss why adding vertical lines and horizontal lines respectively is a good idea; it creates twentieths on both cakes.
Discuss why 4/5 > 3/4 follows from the pictures. (The pictures show 16/20 > 15/20 so 4/5 > 3/4 .
Compare this pair of fractions on the large squared paper: 2/3 and 3/4.
Repeat with these pairs of fractions on the ordinary squared paper: Compare 5/6 and 4/5, 7/10 and 2/3, 5/8 and 3/5 ...
Repeat with these pairs of fractions without any drawings: 2/3 and 13/20, 7/11 and 3/5, 69/100 and
Extension Activity
Order these sets of three fractions from smallest to largest each time: 3/5, 2/3, and 1/2; 7/10, 2/3, and 1/2,...